TSTP Solution File: LCL640+1.015 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL640+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 23.57s 14.87s
% Output : Proof 23.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL640+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 22:58:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 23.57/14.87 % SZS status Theorem
% 23.57/14.87 % SZS output start Proof
% 23.57/14.87 tff(r1_type, type, (
% 23.57/14.87 r1: ( $i * $i ) > $o)).
% 23.57/14.87 tff(tptp_fun_Y_9_type, type, (
% 23.57/14.87 tptp_fun_Y_9: $i > $i)).
% 23.57/14.87 tff(tptp_fun_X_1_type, type, (
% 23.57/14.87 tptp_fun_X_1: $i > $i)).
% 23.57/14.87 tff(tptp_fun_Y_7_type, type, (
% 23.57/14.87 tptp_fun_Y_7: $i > $i)).
% 23.57/14.87 tff(tptp_fun_X_18_type, type, (
% 23.57/14.87 tptp_fun_X_18: $i)).
% 23.57/14.87 tff(p1_type, type, (
% 23.57/14.87 p1: $i > $o)).
% 23.57/14.87 tff(tptp_fun_Y_4_type, type, (
% 23.57/14.87 tptp_fun_Y_4: $i > $i)).
% 23.57/14.87 tff(tptp_fun_X_8_type, type, (
% 23.57/14.87 tptp_fun_X_8: $i > $i)).
% 23.57/14.87 tff(tptp_fun_Y_2_type, type, (
% 23.57/14.87 tptp_fun_Y_2: $i > $i)).
% 23.57/14.87 tff(tptp_fun_X_10_type, type, (
% 23.57/14.87 tptp_fun_X_10: $i > $i)).
% 23.57/14.87 tff(tptp_fun_Y_6_type, type, (
% 23.57/14.87 tptp_fun_Y_6: $i > $i)).
% 23.57/14.87 tff(tptp_fun_X_5_type, type, (
% 23.57/14.87 tptp_fun_X_5: $i > $i)).
% 23.57/14.87 tff(tptp_fun_Y_20_type, type, (
% 23.57/14.87 tptp_fun_Y_20: $i)).
% 23.57/14.87 tff(tptp_fun_X_3_type, type, (
% 23.57/14.87 tptp_fun_X_3: $i > $i)).
% 23.57/14.87 tff(tptp_fun_X_0_type, type, (
% 23.57/14.87 tptp_fun_X_0: $i)).
% 23.57/14.87 tff(tptp_fun_Y_19_type, type, (
% 23.57/14.87 tptp_fun_Y_19: $i)).
% 23.57/14.87 tff(tptp_fun_Y_17_type, type, (
% 23.57/14.87 tptp_fun_Y_17: $i)).
% 23.57/14.87 tff(tptp_fun_X_16_type, type, (
% 23.57/14.87 tptp_fun_X_16: $i)).
% 23.57/14.87 tff(tptp_fun_Y_15_type, type, (
% 23.57/14.87 tptp_fun_Y_15: $i)).
% 23.57/14.87 tff(tptp_fun_X_14_type, type, (
% 23.57/14.87 tptp_fun_X_14: $i)).
% 23.57/14.87 tff(tptp_fun_Y_13_type, type, (
% 23.57/14.87 tptp_fun_Y_13: $i)).
% 23.57/14.87 tff(tptp_fun_X_12_type, type, (
% 23.57/14.87 tptp_fun_X_12: $i)).
% 23.57/14.87 tff(tptp_fun_Y_11_type, type, (
% 23.57/14.87 tptp_fun_Y_11: $i)).
% 23.57/14.87 tff(1,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))), introduced(assumption)).
% 23.57/14.87 tff(2,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))), introduced(assumption)).
% 23.57/14.87 tff(3,assumption,(![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))), introduced(assumption)).
% 23.57/14.87 tff(4,assumption,(~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))), introduced(assumption)).
% 23.57/14.87 tff(5,plain,
% 23.57/14.87 ((p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20)))) | r1(Y!20, tptp_fun_X_1(Y!20))),
% 23.57/14.87 inference(tautology,[status(thm)],[])).
% 23.57/14.87 tff(6,plain,
% 23.57/14.87 (r1(Y!20, tptp_fun_X_1(Y!20))),
% 23.57/14.87 inference(unit_resolution,[status(thm)],[5, 4])).
% 23.57/14.87 tff(7,plain,
% 23.57/14.87 ((p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20)))) | (~p1(tptp_fun_X_1(Y!20)))),
% 23.57/14.87 inference(tautology,[status(thm)],[])).
% 23.57/14.87 tff(8,plain,
% 23.57/14.87 (~p1(tptp_fun_X_1(Y!20))),
% 23.57/14.87 inference(unit_resolution,[status(thm)],[7, 4])).
% 23.57/14.87 tff(9,plain,
% 23.57/14.87 (^[X: $i] : refl((p1(X) | (~r1(Y!20, X))) <=> (p1(X) | (~r1(Y!20, X))))),
% 23.57/14.87 inference(bind,[status(th)],[])).
% 23.57/14.87 tff(10,plain,
% 23.57/14.87 (![X: $i] : (p1(X) | (~r1(Y!20, X))) <=> ![X: $i] : (p1(X) | (~r1(Y!20, X)))),
% 23.57/14.87 inference(quant_intro,[status(thm)],[9])).
% 23.57/14.87 tff(11,plain,
% 23.57/14.87 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & (r1(X!0, Y!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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & r1(X!0, Y!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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.57/14.89 inference(rewrite,[status(thm)],[])).
% 23.57/14.89 tff(12,plain,
% 23.57/14.89 (((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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.57/14.89 inference(rewrite,[status(thm)],[])).
% 23.57/14.89 tff(13,plain,
% 23.57/14.89 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.57/14.89 inference(bind,[status(th)],[])).
% 23.57/14.89 tff(14,plain,
% 23.57/14.89 (![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 23.57/14.89 inference(quant_intro,[status(thm)],[13])).
% 23.57/14.89 tff(15,plain,
% 23.57/14.89 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 23.57/14.89 inference(bind,[status(th)],[])).
% 23.57/14.89 tff(16,plain,
% 23.57/14.89 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 23.57/14.89 inference(quant_intro,[status(thm)],[15])).
% 23.57/14.89 tff(17,plain,
% 23.57/14.89 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 23.57/14.89 inference(bind,[status(th)],[])).
% 23.57/14.89 tff(18,plain,
% 23.57/14.89 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 23.57/14.89 inference(quant_intro,[status(thm)],[17])).
% 23.57/14.89 tff(19,plain,
% 23.57/14.89 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 23.57/14.89 inference(bind,[status(th)],[])).
% 23.57/14.89 tff(20,plain,
% 23.57/14.89 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 23.57/14.89 inference(quant_intro,[status(thm)],[19])).
% 23.57/14.89 tff(21,plain,
% 23.57/14.89 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 23.57/14.90 inference(bind,[status(th)],[])).
% 23.57/14.90 tff(22,plain,
% 23.57/14.90 (![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) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.57/14.90 inference(quant_intro,[status(thm)],[21])).
% 23.57/14.90 tff(23,plain,
% 23.57/14.90 (^[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) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 23.57/14.90 inference(bind,[status(th)],[])).
% 23.57/14.90 tff(24,plain,
% 23.57/14.90 (![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) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 23.57/14.90 inference(quant_intro,[status(thm)],[23])).
% 23.57/14.90 tff(25,plain,
% 23.57/14.90 (^[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) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 23.57/14.90 inference(bind,[status(th)],[])).
% 23.57/14.90 tff(26,plain,
% 23.57/14.90 (![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) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 23.57/14.90 inference(quant_intro,[status(thm)],[25])).
% 23.57/14.90 tff(27,plain,
% 23.57/14.90 ((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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(28,plain,
% 23.57/14.90 ((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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(29,plain,
% 23.57/14.90 ((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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(30,plain,
% 23.57/14.90 ((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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(31,plain,
% 23.57/14.90 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(32,plain,
% 23.57/14.90 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(33,plain,
% 23.57/14.90 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.90 inference(rewrite,[status(thm)],[])).
% 23.57/14.90 tff(34,plain,
% 23.57/14.90 ((r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & (r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(35,plain,
% 23.57/14.91 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(bind,[status(th)],[])).
% 23.57/14.91 tff(36,plain,
% 23.57/14.91 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 23.57/14.91 inference(quant_intro,[status(thm)],[35])).
% 23.57/14.91 tff(37,plain,
% 23.57/14.91 (((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) <=> (r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))))),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(38,plain,
% 23.57/14.91 ((~(~r1(Y!17, X!18))) <=> r1(Y!17, X!18)),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(39,plain,
% 23.57/14.91 (((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & (r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(monotonicity,[status(thm)],[38, 37, 36])).
% 23.57/14.91 tff(40,plain,
% 23.57/14.91 (((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(transitivity,[status(thm)],[39, 34])).
% 23.57/14.91 tff(41,plain,
% 23.57/14.91 ((~(~r1(X!16, Y!17))) <=> r1(X!16, Y!17)),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(42,plain,
% 23.57/14.91 (((~(~r1(X!16, Y!17))) & ((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!16, Y!17) & (r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.91 inference(monotonicity,[status(thm)],[41, 40])).
% 23.57/14.91 tff(43,plain,
% 23.57/14.91 (((~(~r1(X!16, Y!17))) & ((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(transitivity,[status(thm)],[42, 33])).
% 23.57/14.91 tff(44,plain,
% 23.57/14.91 ((~(~r1(Y!15, X!16))) <=> r1(Y!15, X!16)),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(45,plain,
% 23.57/14.91 (((~(~r1(Y!15, X!16))) & ((~(~r1(X!16, Y!17))) & ((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))) <=> (r1(Y!15, X!16) & (r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.91 inference(monotonicity,[status(thm)],[44, 43])).
% 23.57/14.91 tff(46,plain,
% 23.57/14.91 (((~(~r1(Y!15, X!16))) & ((~(~r1(X!16, Y!17))) & ((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))) <=> (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(transitivity,[status(thm)],[45, 32])).
% 23.57/14.91 tff(47,plain,
% 23.57/14.91 ((~(~r1(X!14, Y!15))) <=> r1(X!14, Y!15)),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(48,plain,
% 23.57/14.91 (((~(~r1(X!14, Y!15))) & ((~(~r1(Y!15, X!16))) & ((~(~r1(X!16, Y!17))) & ((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))) <=> (r1(X!14, Y!15) & (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.91 inference(monotonicity,[status(thm)],[47, 46])).
% 23.57/14.91 tff(49,plain,
% 23.57/14.91 (((~(~r1(X!14, Y!15))) & ((~(~r1(Y!15, X!16))) & ((~(~r1(X!16, Y!17))) & ((~(~r1(Y!17, X!18))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))) <=> (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.91 inference(transitivity,[status(thm)],[48, 31])).
% 23.57/14.91 tff(50,plain,
% 23.57/14.91 ((~(~r1(Y!13, X!14))) <=> r1(Y!13, X!14)),
% 23.57/14.91 inference(rewrite,[status(thm)],[])).
% 23.57/14.91 tff(51,plain,
% 23.57/14.91 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> (r1(Y!13, X!14) & (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.91 inference(monotonicity,[status(thm)],[50, 49])).
% 23.57/14.91 tff(52,plain,
% 23.57/14.91 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.92 inference(transitivity,[status(thm)],[51, 30])).
% 23.57/14.92 tff(53,plain,
% 23.57/14.92 ((~(~r1(X!12, Y!13))) <=> r1(X!12, Y!13)),
% 23.57/14.92 inference(rewrite,[status(thm)],[])).
% 23.57/14.92 tff(54,plain,
% 23.57/14.92 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))) <=> (r1(X!12, Y!13) & (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.92 inference(monotonicity,[status(thm)],[53, 52])).
% 23.57/14.92 tff(55,plain,
% 23.57/14.92 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))) <=> (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.92 inference(transitivity,[status(thm)],[54, 29])).
% 23.57/14.92 tff(56,plain,
% 23.57/14.92 ((~(~r1(Y!11, X!12))) <=> r1(Y!11, X!12)),
% 23.57/14.92 inference(rewrite,[status(thm)],[])).
% 23.57/14.92 tff(57,plain,
% 23.57/14.92 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))))) <=> (r1(Y!11, X!12) & (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.92 inference(monotonicity,[status(thm)],[56, 55])).
% 23.57/14.92 tff(58,plain,
% 23.57/14.92 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))))) <=> (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.92 inference(transitivity,[status(thm)],[57, 28])).
% 23.57/14.92 tff(59,plain,
% 23.57/14.92 ((~(~r1(X!0, Y!11))) <=> r1(X!0, Y!11)),
% 23.57/14.92 inference(rewrite,[status(thm)],[])).
% 23.57/14.92 tff(60,plain,
% 23.57/14.92 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) <=> (r1(X!0, Y!11) & (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 23.57/14.92 inference(monotonicity,[status(thm)],[59, 58])).
% 23.57/14.92 tff(61,plain,
% 23.57/14.92 (((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 23.57/14.92 inference(transitivity,[status(thm)],[60, 27])).
% 23.57/14.92 tff(62,plain,
% 23.57/14.92 ((((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.57/14.93 inference(monotonicity,[status(thm)],[61, 26, 24, 22, 20, 18, 16, 14])).
% 23.57/14.93 tff(63,plain,
% 23.57/14.93 ((((~(~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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.57/14.93 inference(transitivity,[status(thm)],[62, 12])).
% 23.57/14.93 tff(64,plain,
% 23.57/14.93 (^[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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~(~r1(X, tptp_fun_Y_7(X)))) & (~(~p1(tptp_fun_Y_7(X)))) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_9(X)))) & (~(~p1(tptp_fun_Y_9(X)))) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.57/14.93 inference(bind,[status(th)],[])).
% 23.57/14.93 tff(65,plain,
% 23.57/14.93 (![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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~(~r1(X, tptp_fun_Y_7(X)))) & (~(~p1(tptp_fun_Y_7(X)))) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_9(X)))) & (~(~p1(tptp_fun_Y_9(X)))) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 23.57/14.93 inference(quant_intro,[status(thm)],[64])).
% 23.57/14.93 tff(66,plain,
% 23.57/14.93 (^[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) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 23.68/14.94 inference(bind,[status(th)],[])).
% 23.68/14.94 tff(67,plain,
% 23.68/14.94 (![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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 23.68/14.94 inference(quant_intro,[status(thm)],[66])).
% 23.68/14.94 tff(68,plain,
% 23.68/14.94 (^[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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 23.68/14.94 inference(bind,[status(th)],[])).
% 23.68/14.94 tff(69,plain,
% 23.68/14.94 (![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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 23.68/14.94 inference(quant_intro,[status(thm)],[68])).
% 23.68/14.94 tff(70,plain,
% 23.68/14.94 (^[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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 23.68/14.94 inference(bind,[status(th)],[])).
% 23.68/14.94 tff(71,plain,
% 23.68/14.94 (![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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 23.68/14.94 inference(quant_intro,[status(thm)],[70])).
% 23.68/14.94 tff(72,plain,
% 23.68/14.94 (^[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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.68/14.94 inference(bind,[status(th)],[])).
% 23.68/14.94 tff(73,plain,
% 23.68/14.94 (![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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.68/14.94 inference(quant_intro,[status(thm)],[72])).
% 23.68/14.94 tff(74,plain,
% 23.68/14.94 (^[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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 23.68/14.94 inference(bind,[status(th)],[])).
% 23.68/14.94 tff(75,plain,
% 23.68/14.94 (![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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 23.68/14.95 inference(quant_intro,[status(thm)],[74])).
% 23.68/14.95 tff(76,plain,
% 23.68/14.95 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 23.68/14.95 inference(bind,[status(th)],[])).
% 23.68/14.95 tff(77,plain,
% 23.68/14.95 (![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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 23.68/14.95 inference(quant_intro,[status(thm)],[76])).
% 23.68/14.95 tff(78,plain,
% 23.68/14.95 ((![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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~(~r1(X, tptp_fun_Y_7(X)))) & (~(~p1(tptp_fun_Y_7(X)))) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_9(X)))) & (~(~p1(tptp_fun_Y_9(X)))) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & (((~(~r1(X!0, Y!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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & (r1(X!0, Y!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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 23.68/14.96 inference(monotonicity,[status(thm)],[77, 75, 73, 71, 69, 67, 65, 63])).
% 23.68/14.96 tff(79,plain,
% 23.68/14.96 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~(~r1(X, tptp_fun_Y_7(X)))) & (~(~p1(tptp_fun_Y_7(X)))) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~r1(X, tptp_fun_Y_9(X)))) & (~(~p1(tptp_fun_Y_9(X)))) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & (((~(~r1(X!0, Y!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))) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & ((~(~r1(X!18, Y!20))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | ((~(~r1(Y, tptp_fun_X_5(Y)))) & (~(~p1(tptp_fun_X_5(Y)))) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & (~(~r1(X, tptp_fun_Y_2(X)))) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & r1(X!0, Y!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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.68/14.98 inference(transitivity,[status(thm)],[78, 11])).
% 23.68/14.98 tff(80,plain,
% 23.68/14.98 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.68/14.99 inference(rewrite,[status(thm)],[])).
% 23.68/14.99 tff(81,plain,
% 23.68/14.99 ((~(~?[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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: 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| ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : 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| (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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$i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | 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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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.73/15.00 inference(rewrite,[status(thm)],[])).
% 23.73/15.00 tff(82,plain,
% 23.73/15.00 ((~?[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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 23.73/15.02 inference(rewrite,[status(thm)],[])).
% 23.73/15.02 tff(83,plain,
% 23.73/15.02 ((~(~?[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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 23.73/15.03 inference(monotonicity,[status(thm)],[82])).
% 23.73/15.03 tff(84,plain,
% 23.73/15.03 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : 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: ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.73/15.04 inference(transitivity,[status(thm)],[83, 81])).
% 23.73/15.04 tff(85,axiom,(~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 23.79/15.05 tff(86,plain,
% 23.79/15.05 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.80/15.06 inference(modus_ponens,[status(thm)],[85, 84])).
% 23.80/15.06 tff(87,plain,
% 23.80/15.06 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.80/15.07 inference(modus_ponens,[status(thm)],[86, 80])).
% 23.80/15.07 tff(88,plain,
% 23.80/15.07 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & r1(X!0, Y!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) & (~(p1(Y!19) | (~r1(X!18, Y!19)))) & r1(X!18, Y!20) & ![X: $i] : (p1(X) | (~r1(Y!20, X))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 23.80/15.07 inference(modus_ponens,[status(thm)],[87, 79])).
% 23.80/15.07 tff(89,plain,
% 23.80/15.07 (![X: $i] : (p1(X) | (~r1(Y!20, X)))),
% 23.80/15.07 inference(and_elim,[status(thm)],[88])).
% 23.80/15.07 tff(90,plain,
% 23.80/15.07 (![X: $i] : (p1(X) | (~r1(Y!20, X)))),
% 23.80/15.07 inference(modus_ponens,[status(thm)],[89, 10])).
% 23.80/15.07 tff(91,plain,
% 23.80/15.07 (((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | (p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))),
% 23.80/15.07 inference(rewrite,[status(thm)],[])).
% 23.80/15.07 tff(92,plain,
% 23.80/15.07 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | (p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))),
% 23.80/15.07 inference(quant_inst,[status(thm)],[])).
% 23.80/15.07 tff(93,plain,
% 23.80/15.07 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20)))),
% 23.80/15.07 inference(modus_ponens,[status(thm)],[92, 91])).
% 23.80/15.07 tff(94,plain,
% 23.80/15.07 ($false),
% 23.80/15.07 inference(unit_resolution,[status(thm)],[93, 90, 8, 6])).
% 23.80/15.07 tff(95,plain,(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20)))), inference(lemma,lemma(discharge,[]))).
% 23.80/15.07 tff(96,plain,
% 23.80/15.07 (r1(X!0, Y!11)),
% 23.80/15.07 inference(and_elim,[status(thm)],[88])).
% 23.80/15.07 tff(97,plain,
% 23.80/15.07 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 23.80/15.07 inference(bind,[status(th)],[])).
% 23.80/15.07 tff(98,plain,
% 23.80/15.07 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.08 inference(quant_intro,[status(thm)],[97])).
% 23.80/15.08 tff(99,plain,
% 23.80/15.08 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 23.80/15.08 inference(bind,[status(th)],[])).
% 23.80/15.08 tff(100,plain,
% 23.80/15.08 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.08 inference(quant_intro,[status(thm)],[99])).
% 23.80/15.08 tff(101,plain,
% 23.80/15.08 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 23.80/15.08 inference(bind,[status(th)],[])).
% 23.80/15.08 tff(102,plain,
% 23.80/15.08 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.08 inference(quant_intro,[status(thm)],[101])).
% 23.80/15.08 tff(103,plain,
% 23.80/15.08 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.08 inference(transitivity,[status(thm)],[102, 100])).
% 23.80/15.08 tff(104,plain,
% 23.80/15.08 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 23.80/15.09 inference(bind,[status(th)],[])).
% 23.80/15.09 tff(105,plain,
% 23.80/15.09 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.09 inference(quant_intro,[status(thm)],[104])).
% 23.80/15.09 tff(106,plain,
% 23.80/15.09 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 23.80/15.09 inference(and_elim,[status(thm)],[88])).
% 23.80/15.09 tff(107,plain,
% 23.80/15.09 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.09 inference(modus_ponens,[status(thm)],[106, 105])).
% 23.80/15.09 tff(108,plain,
% 23.80/15.09 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.09 inference(modus_ponens,[status(thm)],[107, 103])).
% 23.80/15.09 tff(109,plain,
% 23.80/15.09 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.09 inference(modus_ponens,[status(thm)],[108, 98])).
% 23.80/15.09 tff(110,plain,
% 23.80/15.09 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | ((~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | (~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.10 inference(rewrite,[status(thm)],[])).
% 23.80/15.10 tff(111,plain,
% 23.80/15.10 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | ((~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 23.80/15.10 inference(quant_inst,[status(thm)],[])).
% 23.80/15.10 tff(112,plain,
% 23.80/15.10 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | (~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 23.80/15.10 inference(modus_ponens,[status(thm)],[111, 110])).
% 23.80/15.10 tff(113,plain,
% 23.80/15.10 (![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 23.80/15.10 inference(unit_resolution,[status(thm)],[112, 109, 96])).
% 23.80/15.10 tff(114,plain,
% 23.80/15.10 (r1(Y!11, X!12)),
% 23.80/15.10 inference(and_elim,[status(thm)],[88])).
% 23.80/15.10 tff(115,plain,
% 23.80/15.10 (((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | ((~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | (~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 23.85/15.10 inference(rewrite,[status(thm)],[])).
% 23.85/15.10 tff(116,plain,
% 23.85/15.10 ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | ((~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 23.85/15.10 inference(quant_inst,[status(thm)],[])).
% 23.85/15.10 tff(117,plain,
% 23.85/15.10 ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | (~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 23.85/15.10 inference(modus_ponens,[status(thm)],[116, 115])).
% 23.85/15.10 tff(118,plain,
% 23.85/15.10 (![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 23.85/15.11 inference(unit_resolution,[status(thm)],[117, 114, 113])).
% 23.85/15.11 tff(119,plain,
% 23.85/15.11 (r1(X!12, Y!13)),
% 23.85/15.11 inference(and_elim,[status(thm)],[88])).
% 23.85/15.11 tff(120,plain,
% 23.85/15.11 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | ((~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | (~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 23.85/15.11 inference(rewrite,[status(thm)],[])).
% 23.85/15.11 tff(121,plain,
% 23.85/15.11 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | ((~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 23.85/15.11 inference(quant_inst,[status(thm)],[])).
% 23.85/15.11 tff(122,plain,
% 23.85/15.11 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | (~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 23.85/15.11 inference(modus_ponens,[status(thm)],[121, 120])).
% 23.85/15.11 tff(123,plain,
% 23.85/15.11 (![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 23.85/15.11 inference(unit_resolution,[status(thm)],[122, 119, 118])).
% 23.85/15.11 tff(124,plain,
% 23.85/15.11 (r1(Y!13, X!14)),
% 23.85/15.11 inference(and_elim,[status(thm)],[88])).
% 23.85/15.11 tff(125,plain,
% 23.85/15.11 (((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | ((~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | (~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 23.85/15.12 inference(rewrite,[status(thm)],[])).
% 23.85/15.12 tff(126,plain,
% 23.85/15.12 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | ((~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 23.85/15.12 inference(quant_inst,[status(thm)],[])).
% 23.85/15.12 tff(127,plain,
% 23.85/15.12 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | (~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 23.85/15.12 inference(modus_ponens,[status(thm)],[126, 125])).
% 23.85/15.12 tff(128,plain,
% 23.85/15.12 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 23.85/15.12 inference(unit_resolution,[status(thm)],[127, 124, 123])).
% 23.85/15.12 tff(129,plain,
% 23.85/15.12 (r1(X!14, Y!15)),
% 23.85/15.12 inference(and_elim,[status(thm)],[88])).
% 23.85/15.12 tff(130,plain,
% 23.85/15.12 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | ((~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | (~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 23.85/15.12 inference(rewrite,[status(thm)],[])).
% 23.85/15.12 tff(131,plain,
% 23.85/15.12 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | ((~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 23.85/15.12 inference(quant_inst,[status(thm)],[])).
% 23.85/15.12 tff(132,plain,
% 23.85/15.12 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | (~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 23.85/15.13 inference(modus_ponens,[status(thm)],[131, 130])).
% 23.85/15.13 tff(133,plain,
% 23.85/15.13 (![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 23.85/15.13 inference(unit_resolution,[status(thm)],[132, 129, 128])).
% 23.85/15.13 tff(134,plain,
% 23.85/15.13 (r1(Y!15, X!16)),
% 23.85/15.13 inference(and_elim,[status(thm)],[88])).
% 23.85/15.13 tff(135,plain,
% 23.85/15.13 (((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | ((~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | (~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 23.85/15.13 inference(rewrite,[status(thm)],[])).
% 23.85/15.13 tff(136,plain,
% 23.85/15.13 ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | ((~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 23.85/15.13 inference(quant_inst,[status(thm)],[])).
% 23.85/15.13 tff(137,plain,
% 23.85/15.13 ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | (~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 23.85/15.13 inference(modus_ponens,[status(thm)],[136, 135])).
% 23.85/15.13 tff(138,plain,
% 23.85/15.13 (![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 23.85/15.13 inference(unit_resolution,[status(thm)],[137, 134, 133])).
% 23.85/15.13 tff(139,plain,
% 23.85/15.13 (r1(X!16, Y!17)),
% 23.85/15.13 inference(and_elim,[status(thm)],[88])).
% 23.85/15.13 tff(140,plain,
% 23.85/15.13 (((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | ((~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | (~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 23.85/15.14 inference(rewrite,[status(thm)],[])).
% 23.85/15.14 tff(141,plain,
% 23.85/15.14 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | ((~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 23.85/15.14 inference(quant_inst,[status(thm)],[])).
% 23.85/15.14 tff(142,plain,
% 23.85/15.14 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | (~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 23.85/15.14 inference(modus_ponens,[status(thm)],[141, 140])).
% 23.85/15.14 tff(143,plain,
% 23.85/15.14 (![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 23.85/15.14 inference(unit_resolution,[status(thm)],[142, 139, 138])).
% 23.85/15.14 tff(144,plain,
% 23.85/15.14 (r1(Y!17, X!18)),
% 23.85/15.14 inference(and_elim,[status(thm)],[88])).
% 23.85/15.14 tff(145,plain,
% 23.85/15.14 (((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 23.89/15.14 inference(rewrite,[status(thm)],[])).
% 23.89/15.14 tff(146,plain,
% 23.89/15.14 (((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | (~p1(tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))) <=> ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 23.89/15.15 inference(rewrite,[status(thm)],[])).
% 23.89/15.15 tff(147,plain,
% 23.89/15.15 (((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | (~p1(tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 23.89/15.15 inference(monotonicity,[status(thm)],[146])).
% 23.89/15.15 tff(148,plain,
% 23.89/15.15 (((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | (~p1(tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 23.89/15.15 inference(transitivity,[status(thm)],[147, 145])).
% 23.89/15.15 tff(149,plain,
% 23.89/15.15 ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | (~p1(tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 23.89/15.15 inference(quant_inst,[status(thm)],[])).
% 23.89/15.15 tff(150,plain,
% 23.89/15.15 ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X, tptp_fun_Y_7(X))) | (~p1(tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[149, 148])).
% 23.89/15.16 tff(151,plain,
% 23.89/15.16 (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[150, 144, 143])).
% 23.89/15.16 tff(152,plain,
% 23.89/15.16 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 23.89/15.16 inference(tautology,[status(thm)],[])).
% 23.89/15.16 tff(153,plain,
% 23.89/15.16 (![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[152, 151])).
% 23.89/15.16 tff(154,plain,
% 23.89/15.16 (r1(X!18, Y!20)),
% 23.89/15.16 inference(and_elim,[status(thm)],[88])).
% 23.89/15.16 tff(155,plain,
% 23.89/15.16 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 23.89/15.16 inference(rewrite,[status(thm)],[])).
% 23.89/15.16 tff(156,plain,
% 23.89/15.16 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 23.89/15.16 inference(quant_inst,[status(thm)],[])).
% 23.89/15.16 tff(157,plain,
% 23.89/15.16 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[156, 155])).
% 23.89/15.16 tff(158,plain,
% 23.89/15.16 ((~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[157, 154, 153])).
% 23.89/15.16 tff(159,plain,
% 23.89/15.16 (![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[158, 95])).
% 23.89/15.16 tff(160,assumption,(~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))), introduced(assumption)).
% 23.89/15.16 tff(161,plain,
% 23.89/15.16 (((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))) | r1(Y!20, tptp_fun_X_5(Y!20))),
% 23.89/15.16 inference(tautology,[status(thm)],[])).
% 23.89/15.16 tff(162,plain,
% 23.89/15.16 (r1(Y!20, tptp_fun_X_5(Y!20))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[161, 160])).
% 23.89/15.16 tff(163,plain,
% 23.89/15.16 (((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y))))),
% 23.89/15.16 inference(rewrite,[status(thm)],[])).
% 23.89/15.16 tff(164,plain,
% 23.89/15.16 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y))))),
% 23.89/15.16 inference(quant_inst,[status(thm)],[])).
% 23.89/15.16 tff(165,plain,
% 23.89/15.16 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[164, 163])).
% 23.89/15.16 tff(166,plain,
% 23.89/15.16 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[165, 162, 159])).
% 23.89/15.16 tff(167,plain,
% 23.89/15.16 (((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))) | r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))),
% 23.89/15.16 inference(tautology,[status(thm)],[])).
% 23.89/15.16 tff(168,plain,
% 23.89/15.16 (r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[167, 160])).
% 23.89/15.16 tff(169,plain,
% 23.89/15.16 (((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))) | (~p1(tptp_fun_Y_6(Y!20)))),
% 23.89/15.16 inference(tautology,[status(thm)],[])).
% 23.89/15.16 tff(170,plain,
% 23.89/15.16 (~p1(tptp_fun_Y_6(Y!20))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[169, 160])).
% 23.89/15.16 tff(171,plain,
% 23.89/15.16 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))),
% 23.89/15.16 inference(rewrite,[status(thm)],[])).
% 23.89/15.16 tff(172,plain,
% 23.89/15.16 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))),
% 23.89/15.16 inference(quant_inst,[status(thm)],[])).
% 23.89/15.16 tff(173,plain,
% 23.89/15.16 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[172, 171])).
% 23.89/15.16 tff(174,plain,
% 23.89/15.16 ($false),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[173, 170, 168, 166])).
% 23.89/15.16 tff(175,plain,((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.16 tff(176,plain,
% 23.89/15.16 (((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!20)) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!18, Y!20)) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))),
% 23.89/15.16 inference(rewrite,[status(thm)],[])).
% 23.89/15.16 tff(177,plain,
% 23.89/15.16 (((~r1(X!18, Y!20)) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))))) <=> ((~r1(X!18, Y!20)) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))),
% 23.89/15.16 inference(rewrite,[status(thm)],[])).
% 23.89/15.16 tff(178,plain,
% 23.89/15.16 (((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!20)) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!20)) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))))))),
% 23.89/15.16 inference(monotonicity,[status(thm)],[177])).
% 23.89/15.16 tff(179,plain,
% 23.89/15.16 (((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!20)) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!18, Y!20)) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))),
% 23.89/15.16 inference(transitivity,[status(thm)],[178, 176])).
% 23.89/15.16 tff(180,plain,
% 23.89/15.16 ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!20)) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))))))),
% 23.89/15.16 inference(quant_inst,[status(thm)],[])).
% 23.89/15.16 tff(181,plain,
% 23.89/15.16 ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!18, Y!20)) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20)))))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[180, 179])).
% 23.89/15.16 tff(182,plain,
% 23.89/15.16 ($false),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[181, 154, 175, 3])).
% 23.89/15.16 tff(183,plain,(~![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.16 tff(184,assumption,(~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 23.89/15.16 tff(185,plain,
% 23.89/15.16 ((p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | r1(X!18, tptp_fun_Y_2(X!18))),
% 23.89/15.16 inference(tautology,[status(thm)],[])).
% 23.89/15.16 tff(186,plain,
% 23.89/15.16 (r1(X!18, tptp_fun_Y_2(X!18))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[185, 184])).
% 23.89/15.16 tff(187,plain,
% 23.89/15.16 ((p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~p1(tptp_fun_Y_2(X!18)))),
% 23.89/15.16 inference(tautology,[status(thm)],[])).
% 23.89/15.16 tff(188,plain,
% 23.89/15.16 (~p1(tptp_fun_Y_2(X!18))),
% 23.89/15.16 inference(unit_resolution,[status(thm)],[187, 184])).
% 23.89/15.16 tff(189,plain,
% 23.89/15.16 (^[Y: $i] : refl((p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) <=> (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 23.89/15.16 inference(bind,[status(th)],[])).
% 23.89/15.16 tff(190,plain,
% 23.89/15.16 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 23.89/15.16 inference(quant_intro,[status(thm)],[189])).
% 23.89/15.16 tff(191,plain,
% 23.89/15.16 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 23.89/15.16 inference(bind,[status(th)],[])).
% 23.89/15.16 tff(192,plain,
% 23.89/15.16 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 23.89/15.16 inference(quant_intro,[status(thm)],[191])).
% 23.89/15.16 tff(193,plain,
% 23.89/15.16 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 23.89/15.16 inference(and_elim,[status(thm)],[88])).
% 23.89/15.16 tff(194,plain,
% 23.89/15.16 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[193, 192])).
% 23.89/15.16 tff(195,plain,
% 23.89/15.16 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 23.89/15.16 inference(modus_ponens,[status(thm)],[194, 190])).
% 23.89/15.16 tff(196,plain,
% 23.89/15.16 (((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))),
% 23.89/15.17 inference(rewrite,[status(thm)],[])).
% 23.89/15.17 tff(197,plain,
% 23.89/15.17 ((p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~((~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))))) <=> (p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))),
% 23.89/15.17 inference(rewrite,[status(thm)],[])).
% 23.89/15.17 tff(198,plain,
% 23.89/15.17 (((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~((~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))))))),
% 23.89/15.17 inference(monotonicity,[status(thm)],[197])).
% 23.89/15.17 tff(199,plain,
% 23.89/15.17 (((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~((~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))),
% 23.89/15.17 inference(transitivity,[status(thm)],[198, 196])).
% 23.89/15.17 tff(200,plain,
% 23.89/15.17 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~((~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))))),
% 23.89/15.17 inference(quant_inst,[status(thm)],[])).
% 23.89/15.17 tff(201,plain,
% 23.89/15.17 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))))),
% 23.89/15.17 inference(modus_ponens,[status(thm)],[200, 199])).
% 23.89/15.17 tff(202,plain,
% 23.89/15.17 (~(p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[201, 195, 188, 186])).
% 23.89/15.17 tff(203,plain,
% 23.89/15.17 ((p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))) | p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(204,plain,
% 23.89/15.17 (p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[203, 202])).
% 23.89/15.17 tff(205,plain,
% 23.89/15.17 ((p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))) | r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(206,plain,
% 23.89/15.17 (r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[205, 202])).
% 23.89/15.17 tff(207,plain,
% 23.89/15.17 ((p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(208,plain,
% 23.89/15.17 (![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[207, 184])).
% 23.89/15.17 tff(209,plain,
% 23.89/15.17 (((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y))))),
% 23.89/15.17 inference(rewrite,[status(thm)],[])).
% 23.89/15.17 tff(210,plain,
% 23.89/15.17 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y))))),
% 23.89/15.17 inference(quant_inst,[status(thm)],[])).
% 23.89/15.17 tff(211,plain,
% 23.89/15.17 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y)))),
% 23.89/15.17 inference(modus_ponens,[status(thm)],[210, 209])).
% 23.89/15.17 tff(212,plain,
% 23.89/15.17 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y)))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[211, 208, 206, 204])).
% 23.89/15.17 tff(213,plain,
% 23.89/15.17 ((p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))) | r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(214,plain,
% 23.89/15.17 (r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[213, 202])).
% 23.89/15.17 tff(215,plain,
% 23.89/15.17 ((p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_Y_2(X!18), tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!18)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))) | (~p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(216,plain,
% 23.89/15.17 (~p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18)))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[215, 202])).
% 23.89/15.17 tff(217,plain,
% 23.89/15.17 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y)))) | (p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))),
% 23.89/15.17 inference(rewrite,[status(thm)],[])).
% 23.89/15.17 tff(218,plain,
% 23.89/15.17 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y)))) | (p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18)))))),
% 23.89/15.17 inference(quant_inst,[status(thm)],[])).
% 23.89/15.17 tff(219,plain,
% 23.89/15.17 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), Y)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!18)), tptp_fun_Y_6(tptp_fun_Y_2(X!18))))),
% 23.89/15.17 inference(modus_ponens,[status(thm)],[218, 217])).
% 23.89/15.17 tff(220,plain,
% 23.89/15.17 ($false),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[219, 216, 214, 212])).
% 23.89/15.17 tff(221,plain,(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.17 tff(222,assumption,(![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), introduced(assumption)).
% 23.89/15.17 tff(223,plain,
% 23.89/15.17 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))))),
% 23.89/15.17 inference(rewrite,[status(thm)],[])).
% 23.89/15.17 tff(224,plain,
% 23.89/15.17 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20))))))),
% 23.89/15.17 inference(quant_inst,[status(thm)],[])).
% 23.89/15.17 tff(225,plain,
% 23.89/15.17 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(X!18, Y!20)) | (~(p1(tptp_fun_X_1(Y!20)) | (~r1(Y!20, tptp_fun_X_1(Y!20)))))),
% 23.89/15.17 inference(modus_ponens,[status(thm)],[224, 223])).
% 23.89/15.17 tff(226,plain,
% 23.89/15.17 ($false),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[225, 154, 222, 95])).
% 23.89/15.17 tff(227,plain,(~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.17 tff(228,plain,
% 23.89/15.17 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | (p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(229,plain,
% 23.89/15.17 (p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[228, 151])).
% 23.89/15.17 tff(230,plain,
% 23.89/15.17 ((~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 23.89/15.17 inference(tautology,[status(thm)],[])).
% 23.89/15.17 tff(231,plain,
% 23.89/15.17 (p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[230, 229])).
% 23.89/15.17 tff(232,plain,
% 23.89/15.17 (p1(X!18) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[231, 227])).
% 23.89/15.17 tff(233,plain,
% 23.89/15.17 (p1(X!18)),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[232, 221])).
% 23.89/15.17 tff(234,assumption,(![Y: $i] : (p1(Y) | (~r1(X!18, Y)))), introduced(assumption)).
% 23.89/15.17 tff(235,plain,
% 23.89/15.17 (~(p1(Y!19) | (~r1(X!18, Y!19)))),
% 23.89/15.17 inference(and_elim,[status(thm)],[88])).
% 23.89/15.17 tff(236,plain,
% 23.89/15.17 (r1(X!18, Y!19)),
% 23.89/15.17 inference(or_elim,[status(thm)],[235])).
% 23.89/15.17 tff(237,plain,
% 23.89/15.17 (~p1(Y!19)),
% 23.89/15.17 inference(or_elim,[status(thm)],[235])).
% 23.89/15.17 tff(238,plain,
% 23.89/15.17 (((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | (p1(Y!19) | (~r1(X!18, Y!19)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | p1(Y!19) | (~r1(X!18, Y!19)))),
% 23.89/15.17 inference(rewrite,[status(thm)],[])).
% 23.89/15.17 tff(239,plain,
% 23.89/15.17 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | (p1(Y!19) | (~r1(X!18, Y!19)))),
% 23.89/15.17 inference(quant_inst,[status(thm)],[])).
% 23.89/15.17 tff(240,plain,
% 23.89/15.17 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | p1(Y!19) | (~r1(X!18, Y!19))),
% 23.89/15.17 inference(modus_ponens,[status(thm)],[239, 238])).
% 23.89/15.17 tff(241,plain,
% 23.89/15.17 ($false),
% 23.89/15.17 inference(unit_resolution,[status(thm)],[240, 237, 236, 234])).
% 23.89/15.17 tff(242,plain,(~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.17 tff(243,plain,
% 23.89/15.17 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(244,plain,
% 23.89/15.18 ((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[243, 151])).
% 23.89/15.18 tff(245,plain,
% 23.89/15.18 ((~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(246,plain,
% 23.89/15.18 ((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[245, 244])).
% 23.89/15.18 tff(247,plain,
% 23.89/15.18 ((~p1(X!18)) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[246, 242])).
% 23.89/15.18 tff(248,plain,
% 23.89/15.18 (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[247, 233, 183])).
% 23.89/15.18 tff(249,plain,
% 23.89/15.18 (((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | r1(X!18, tptp_fun_Y_7(X!18))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(250,plain,
% 23.89/15.18 (r1(X!18, tptp_fun_Y_7(X!18))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[249, 248])).
% 23.89/15.18 tff(251,plain,
% 23.89/15.18 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | (~p1(tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(252,plain,
% 23.89/15.18 ((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[251, 151])).
% 23.89/15.18 tff(253,plain,
% 23.89/15.18 ((~((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(254,plain,
% 23.89/15.18 ((~(p1(tptp_fun_Y_2(X!18)) | (~r1(X!18, tptp_fun_Y_2(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[253, 252])).
% 23.89/15.18 tff(255,plain,
% 23.89/15.18 (![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[254, 221])).
% 23.89/15.18 tff(256,plain,
% 23.89/15.18 (((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 23.89/15.18 inference(rewrite,[status(thm)],[])).
% 23.89/15.18 tff(257,plain,
% 23.89/15.18 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 23.89/15.18 inference(quant_inst,[status(thm)],[])).
% 23.89/15.18 tff(258,plain,
% 23.89/15.18 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 23.89/15.18 inference(modus_ponens,[status(thm)],[257, 256])).
% 23.89/15.18 tff(259,plain,
% 23.89/15.18 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[258, 255, 250])).
% 23.89/15.18 tff(260,plain,
% 23.89/15.18 (((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(261,plain,
% 23.89/15.18 (r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[260, 248])).
% 23.89/15.18 tff(262,plain,
% 23.89/15.18 (((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~p1(tptp_fun_X_8(X!18)))),
% 23.89/15.18 inference(tautology,[status(thm)],[])).
% 23.89/15.18 tff(263,plain,
% 23.89/15.18 (~p1(tptp_fun_X_8(X!18))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[262, 248])).
% 23.89/15.18 tff(264,plain,
% 23.89/15.18 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))),
% 23.89/15.18 inference(rewrite,[status(thm)],[])).
% 23.89/15.18 tff(265,plain,
% 23.89/15.18 ((p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))))) <=> (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))),
% 23.89/15.18 inference(rewrite,[status(thm)],[])).
% 23.89/15.18 tff(266,plain,
% 23.89/15.18 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))))))),
% 23.89/15.18 inference(monotonicity,[status(thm)],[265])).
% 23.89/15.18 tff(267,plain,
% 23.89/15.18 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))),
% 23.89/15.18 inference(transitivity,[status(thm)],[266, 264])).
% 23.89/15.18 tff(268,plain,
% 23.89/15.18 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))),
% 23.89/15.18 inference(quant_inst,[status(thm)],[])).
% 23.89/15.18 tff(269,plain,
% 23.89/15.18 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))))),
% 23.89/15.18 inference(modus_ponens,[status(thm)],[268, 267])).
% 23.89/15.18 tff(270,plain,
% 23.89/15.18 (~((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))),
% 23.89/15.18 inference(unit_resolution,[status(thm)],[269, 263, 261, 259])).
% 23.89/15.18 tff(271,plain,
% 23.89/15.18 (((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))) | p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 23.89/15.19 inference(tautology,[status(thm)],[])).
% 23.89/15.19 tff(272,plain,
% 23.89/15.19 (p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[271, 270])).
% 23.89/15.19 tff(273,plain,
% 23.89/15.19 (((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))) | r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 23.89/15.19 inference(tautology,[status(thm)],[])).
% 23.89/15.19 tff(274,plain,
% 23.89/15.19 (r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[273, 270])).
% 23.89/15.19 tff(275,plain,
% 23.89/15.19 (((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18))))) | p1(tptp_fun_X_8(X!18))),
% 23.89/15.19 inference(tautology,[status(thm)],[])).
% 23.89/15.19 tff(276,plain,
% 23.89/15.19 ((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18))))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[275, 263])).
% 23.89/15.19 tff(277,plain,
% 23.89/15.19 (((~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 23.89/15.19 inference(tautology,[status(thm)],[])).
% 23.89/15.19 tff(278,plain,
% 23.89/15.19 (![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[277, 248])).
% 23.89/15.19 tff(279,plain,
% 23.89/15.19 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 23.89/15.19 inference(rewrite,[status(thm)],[])).
% 23.89/15.19 tff(280,plain,
% 23.89/15.19 (((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) <=> ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 23.89/15.19 inference(rewrite,[status(thm)],[])).
% 23.89/15.19 tff(281,plain,
% 23.89/15.19 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))))),
% 23.89/15.19 inference(monotonicity,[status(thm)],[280])).
% 23.89/15.19 tff(282,plain,
% 23.89/15.19 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 23.89/15.19 inference(transitivity,[status(thm)],[281, 279])).
% 23.89/15.19 tff(283,plain,
% 23.89/15.19 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 23.89/15.19 inference(quant_inst,[status(thm)],[])).
% 23.89/15.19 tff(284,plain,
% 23.89/15.19 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_4(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 23.89/15.19 inference(modus_ponens,[status(thm)],[283, 282])).
% 23.89/15.19 tff(285,plain,
% 23.89/15.19 (![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[284, 261, 278, 276])).
% 23.89/15.19 tff(286,plain,
% 23.89/15.19 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))),
% 23.89/15.19 inference(rewrite,[status(thm)],[])).
% 23.89/15.19 tff(287,plain,
% 23.89/15.19 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18))))) <=> ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))),
% 23.89/15.19 inference(rewrite,[status(thm)],[])).
% 23.89/15.19 tff(288,plain,
% 23.89/15.19 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))))),
% 23.89/15.19 inference(monotonicity,[status(thm)],[287])).
% 23.89/15.19 tff(289,plain,
% 23.89/15.19 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))),
% 23.89/15.19 inference(transitivity,[status(thm)],[288, 286])).
% 23.89/15.19 tff(290,plain,
% 23.89/15.19 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))))),
% 23.89/15.19 inference(quant_inst,[status(thm)],[])).
% 23.89/15.19 tff(291,plain,
% 23.89/15.19 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))),
% 23.89/15.19 inference(modus_ponens,[status(thm)],[290, 289])).
% 23.89/15.19 tff(292,plain,
% 23.89/15.19 ($false),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[291, 285, 274, 272, 2])).
% 23.89/15.19 tff(293,plain,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.19 tff(294,assumption,(![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), introduced(assumption)).
% 23.89/15.19 tff(295,plain,
% 23.89/15.19 (((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))))),
% 23.89/15.19 inference(rewrite,[status(thm)],[])).
% 23.89/15.19 tff(296,plain,
% 23.89/15.19 ((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))))),
% 23.89/15.19 inference(quant_inst,[status(thm)],[])).
% 23.89/15.19 tff(297,plain,
% 23.89/15.19 ((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))))),
% 23.89/15.19 inference(modus_ponens,[status(thm)],[296, 295])).
% 23.89/15.19 tff(298,plain,
% 23.89/15.19 (~(p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[297, 294, 274])).
% 23.89/15.19 tff(299,plain,
% 23.89/15.19 ((p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))) | r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))),
% 23.89/15.19 inference(tautology,[status(thm)],[])).
% 23.89/15.19 tff(300,plain,
% 23.89/15.19 (r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[299, 298])).
% 23.89/15.19 tff(301,plain,
% 23.89/15.19 ((p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))) | (~p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))),
% 23.89/15.19 inference(tautology,[status(thm)],[])).
% 23.89/15.19 tff(302,plain,
% 23.89/15.19 (~p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[301, 298])).
% 23.89/15.19 tff(303,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))), introduced(assumption)).
% 23.89/15.19 tff(304,plain,
% 23.89/15.19 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | (p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))),
% 23.89/15.19 inference(rewrite,[status(thm)],[])).
% 23.89/15.19 tff(305,plain,
% 23.89/15.19 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | (p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))),
% 23.89/15.19 inference(quant_inst,[status(thm)],[])).
% 23.89/15.19 tff(306,plain,
% 23.89/15.19 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | p1(tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))),
% 23.89/15.19 inference(modus_ponens,[status(thm)],[305, 304])).
% 23.89/15.19 tff(307,plain,
% 23.89/15.19 ($false),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[306, 303, 302, 300])).
% 23.89/15.19 tff(308,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))), inference(lemma,lemma(discharge,[]))).
% 23.89/15.19 tff(309,plain,
% 23.89/15.19 (~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 23.89/15.19 inference(unit_resolution,[status(thm)],[308, 293])).
% 23.89/15.19 tff(310,plain,
% 23.89/15.19 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))),
% 23.89/15.19 inference(bind,[status(th)],[])).
% 23.89/15.19 tff(311,plain,
% 23.89/15.19 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 23.89/15.20 inference(quant_intro,[status(thm)],[310])).
% 23.89/15.20 tff(312,plain,
% 23.89/15.20 (^[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)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.20 inference(bind,[status(th)],[])).
% 23.89/15.20 tff(313,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.20 inference(quant_intro,[status(thm)],[312])).
% 23.89/15.20 tff(314,plain,
% 23.89/15.20 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.20 inference(bind,[status(th)],[])).
% 23.89/15.20 tff(315,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.20 inference(quant_intro,[status(thm)],[314])).
% 23.89/15.20 tff(316,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.20 inference(transitivity,[status(thm)],[315, 313])).
% 23.89/15.20 tff(317,plain,
% 23.89/15.20 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.20 inference(bind,[status(th)],[])).
% 23.89/15.20 tff(318,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.20 inference(quant_intro,[status(thm)],[317])).
% 23.89/15.20 tff(319,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 23.89/15.20 inference(and_elim,[status(thm)],[88])).
% 23.89/15.20 tff(320,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.20 inference(modus_ponens,[status(thm)],[319, 318])).
% 23.89/15.20 tff(321,plain,
% 23.89/15.20 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.21 inference(modus_ponens,[status(thm)],[320, 316])).
% 23.89/15.21 tff(322,plain,
% 23.89/15.21 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 23.89/15.21 inference(modus_ponens,[status(thm)],[321, 311])).
% 23.89/15.21 tff(323,plain,
% 23.89/15.21 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 23.89/15.21 inference(rewrite,[status(thm)],[])).
% 23.89/15.21 tff(324,plain,
% 23.89/15.21 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 23.89/15.21 inference(quant_inst,[status(thm)],[])).
% 23.89/15.21 tff(325,plain,
% 23.89/15.21 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 23.89/15.21 inference(modus_ponens,[status(thm)],[324, 323])).
% 23.89/15.21 tff(326,plain,
% 23.89/15.21 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 23.89/15.21 inference(unit_resolution,[status(thm)],[325, 322, 96])).
% 23.89/15.21 tff(327,plain,
% 23.89/15.21 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 23.89/15.21 inference(rewrite,[status(thm)],[])).
% 23.89/15.21 tff(328,plain,
% 23.89/15.21 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 23.89/15.21 inference(quant_inst,[status(thm)],[])).
% 23.89/15.21 tff(329,plain,
% 23.89/15.21 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.21 inference(modus_ponens,[status(thm)],[328, 327])).
% 23.89/15.21 tff(330,plain,
% 23.89/15.21 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.21 inference(unit_resolution,[status(thm)],[329, 114, 326])).
% 23.89/15.21 tff(331,plain,
% 23.89/15.21 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.21 inference(rewrite,[status(thm)],[])).
% 23.89/15.21 tff(332,plain,
% 23.89/15.21 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 23.89/15.22 inference(quant_inst,[status(thm)],[])).
% 23.89/15.22 tff(333,plain,
% 23.89/15.22 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.22 inference(modus_ponens,[status(thm)],[332, 331])).
% 23.89/15.22 tff(334,plain,
% 23.89/15.22 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.22 inference(unit_resolution,[status(thm)],[333, 119, 330])).
% 23.89/15.22 tff(335,plain,
% 23.89/15.22 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.22 inference(rewrite,[status(thm)],[])).
% 23.89/15.22 tff(336,plain,
% 23.89/15.22 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 23.89/15.22 inference(quant_inst,[status(thm)],[])).
% 23.89/15.22 tff(337,plain,
% 23.89/15.22 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 23.89/15.22 inference(modus_ponens,[status(thm)],[336, 335])).
% 23.89/15.22 tff(338,plain,
% 23.89/15.22 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 23.89/15.22 inference(unit_resolution,[status(thm)],[337, 124, 334])).
% 23.89/15.22 tff(339,plain,
% 23.89/15.22 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 23.89/15.22 inference(rewrite,[status(thm)],[])).
% 23.89/15.22 tff(340,plain,
% 23.89/15.22 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 23.89/15.22 inference(quant_inst,[status(thm)],[])).
% 23.89/15.22 tff(341,plain,
% 23.89/15.22 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 23.89/15.23 inference(modus_ponens,[status(thm)],[340, 339])).
% 23.89/15.23 tff(342,plain,
% 23.89/15.23 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 23.89/15.23 inference(unit_resolution,[status(thm)],[341, 129, 338])).
% 23.89/15.23 tff(343,plain,
% 23.89/15.23 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 23.89/15.23 inference(rewrite,[status(thm)],[])).
% 23.89/15.23 tff(344,plain,
% 23.89/15.23 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 23.89/15.23 inference(quant_inst,[status(thm)],[])).
% 23.89/15.23 tff(345,plain,
% 23.89/15.23 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 23.89/15.23 inference(modus_ponens,[status(thm)],[344, 343])).
% 23.89/15.23 tff(346,plain,
% 23.89/15.23 (![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 23.89/15.23 inference(unit_resolution,[status(thm)],[345, 134, 342])).
% 23.89/15.23 tff(347,plain,
% 23.89/15.23 (((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 23.89/15.23 inference(rewrite,[status(thm)],[])).
% 23.89/15.23 tff(348,plain,
% 23.89/15.23 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 23.89/15.23 inference(quant_inst,[status(thm)],[])).
% 23.89/15.23 tff(349,plain,
% 23.89/15.23 ((~![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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 23.89/15.23 inference(modus_ponens,[status(thm)],[348, 347])).
% 23.89/15.23 tff(350,plain,
% 23.89/15.23 (![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 23.89/15.23 inference(unit_resolution,[status(thm)],[349, 139, 346])).
% 23.89/15.23 tff(351,plain,
% 23.89/15.23 (((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 23.89/15.23 inference(rewrite,[status(thm)],[])).
% 23.89/15.23 tff(352,plain,
% 23.89/15.23 ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 23.89/15.23 inference(quant_inst,[status(thm)],[])).
% 23.89/15.23 tff(353,plain,
% 23.89/15.23 ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), 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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 23.89/15.23 inference(modus_ponens,[status(thm)],[352, 351])).
% 23.89/15.23 tff(354,plain,
% 23.89/15.23 (![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 23.89/15.23 inference(unit_resolution,[status(thm)],[353, 144, 350])).
% 23.89/15.23 tff(355,plain,
% 23.89/15.23 (((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 23.98/15.24 inference(rewrite,[status(thm)],[])).
% 23.98/15.24 tff(356,plain,
% 23.98/15.24 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 23.98/15.24 inference(quant_inst,[status(thm)],[])).
% 23.98/15.24 tff(357,plain,
% 23.98/15.24 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 23.98/15.24 inference(modus_ponens,[status(thm)],[356, 355])).
% 23.98/15.24 tff(358,plain,
% 23.98/15.24 (![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 23.98/15.24 inference(unit_resolution,[status(thm)],[357, 354, 250])).
% 23.98/15.24 tff(359,plain,
% 23.98/15.24 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))))))),
% 23.98/15.24 inference(rewrite,[status(thm)],[])).
% 23.98/15.24 tff(360,plain,
% 23.98/15.24 (((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) <=> ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))))))),
% 23.98/15.24 inference(rewrite,[status(thm)],[])).
% 23.98/15.24 tff(361,plain,
% 23.98/15.24 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))))),
% 23.98/15.24 inference(monotonicity,[status(thm)],[360])).
% 23.98/15.24 tff(362,plain,
% 23.98/15.24 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))))))),
% 23.98/15.24 inference(transitivity,[status(thm)],[361, 359])).
% 23.98/15.24 tff(363,plain,
% 23.98/15.24 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 23.98/15.24 inference(quant_inst,[status(thm)],[])).
% 23.98/15.24 tff(364,plain,
% 23.98/15.24 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))),
% 23.98/15.24 inference(modus_ponens,[status(thm)],[363, 362])).
% 23.98/15.24 tff(365,plain,
% 23.98/15.24 (~((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))))),
% 23.98/15.24 inference(unit_resolution,[status(thm)],[364, 261, 358])).
% 23.98/15.24 tff(366,plain,
% 23.98/15.24 (((~![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) | (p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))),
% 23.98/15.24 inference(tautology,[status(thm)],[])).
% 23.98/15.24 tff(367,plain,
% 23.98/15.24 (p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 23.98/15.24 inference(unit_resolution,[status(thm)],[366, 365])).
% 23.98/15.24 tff(368,plain,
% 23.98/15.24 ((~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 23.98/15.24 inference(tautology,[status(thm)],[])).
% 23.98/15.24 tff(369,plain,
% 23.98/15.24 ((~(p1(tptp_fun_X_8(X!18)) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 23.98/15.24 inference(unit_resolution,[status(thm)],[368, 263])).
% 23.98/15.25 tff(370,plain,
% 23.98/15.25 ((~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[369, 367])).
% 23.98/15.25 tff(371,plain,
% 23.98/15.25 (~(p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[370, 309])).
% 23.98/15.25 tff(372,plain,
% 23.98/15.25 ((p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))))),
% 23.98/15.25 inference(tautology,[status(thm)],[])).
% 23.98/15.25 tff(373,plain,
% 23.98/15.25 (~p1(tptp_fun_Y_2(tptp_fun_X_8(X!18)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[372, 371])).
% 23.98/15.25 tff(374,plain,
% 23.98/15.25 ((p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(tptp_fun_X_8(X!18)), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))),
% 23.98/15.25 inference(tautology,[status(thm)],[])).
% 23.98/15.25 tff(375,plain,
% 23.98/15.25 (r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[374, 371])).
% 23.98/15.25 tff(376,assumption,(r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))), introduced(assumption)).
% 23.98/15.25 tff(377,assumption,(~p1(tptp_fun_Y_2(tptp_fun_X_8(X!18)))), introduced(assumption)).
% 23.98/15.25 tff(378,assumption,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))), introduced(assumption)).
% 23.98/15.25 tff(379,plain,
% 23.98/15.25 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))) | (p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(380,plain,
% 23.98/15.25 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))) | (p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))),
% 23.98/15.25 inference(quant_inst,[status(thm)],[])).
% 23.98/15.25 tff(381,plain,
% 23.98/15.25 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18))))),
% 23.98/15.25 inference(modus_ponens,[status(thm)],[380, 379])).
% 23.98/15.25 tff(382,plain,
% 23.98/15.25 ($false),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[381, 378, 377, 376])).
% 23.98/15.25 tff(383,plain,((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18))))), inference(lemma,lemma(discharge,[]))).
% 23.98/15.25 tff(384,plain,
% 23.98/15.25 (~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[383, 375, 373])).
% 23.98/15.25 tff(385,assumption,(![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))), introduced(assumption)).
% 23.98/15.25 tff(386,assumption,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))), introduced(assumption)).
% 23.98/15.25 tff(387,assumption,(r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))), introduced(assumption)).
% 23.98/15.25 tff(388,plain,
% 23.98/15.25 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(389,plain,
% 23.98/15.25 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 23.98/15.25 inference(quant_inst,[status(thm)],[])).
% 23.98/15.25 tff(390,plain,
% 23.98/15.25 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 23.98/15.25 inference(modus_ponens,[status(thm)],[389, 388])).
% 23.98/15.25 tff(391,plain,
% 23.98/15.25 ($false),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[390, 387, 386, 385])).
% 23.98/15.25 tff(392,plain,((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))), inference(lemma,lemma(discharge,[]))).
% 23.98/15.25 tff(393,plain,
% 23.98/15.25 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[392, 261])).
% 23.98/15.25 tff(394,plain,
% 23.98/15.25 (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[393, 384])).
% 23.98/15.25 tff(395,plain,
% 23.98/15.25 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(396,plain,
% 23.98/15.25 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 23.98/15.25 inference(quant_inst,[status(thm)],[])).
% 23.98/15.25 tff(397,plain,
% 23.98/15.25 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | (~(p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.98/15.25 inference(modus_ponens,[status(thm)],[396, 395])).
% 23.98/15.25 tff(398,plain,
% 23.98/15.25 ((~(p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[397, 153, 250])).
% 23.98/15.25 tff(399,plain,
% 23.98/15.25 (~(p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[398, 394])).
% 23.98/15.25 tff(400,plain,
% 23.98/15.25 ((p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.25 inference(tautology,[status(thm)],[])).
% 23.98/15.25 tff(401,plain,
% 23.98/15.25 (~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[400, 399])).
% 23.98/15.25 tff(402,plain,
% 23.98/15.25 (((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) | p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))),
% 23.98/15.25 inference(tautology,[status(thm)],[])).
% 23.98/15.25 tff(403,plain,
% 23.98/15.25 ((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[402, 401])).
% 23.98/15.25 tff(404,plain,
% 23.98/15.25 ((p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))),
% 23.98/15.25 inference(tautology,[status(thm)],[])).
% 23.98/15.25 tff(405,plain,
% 23.98/15.25 (r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[404, 399])).
% 23.98/15.25 tff(406,plain,
% 23.98/15.25 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(407,plain,
% 23.98/15.25 (((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) <=> ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(408,plain,
% 23.98/15.25 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))))),
% 23.98/15.25 inference(monotonicity,[status(thm)],[407])).
% 23.98/15.25 tff(409,plain,
% 23.98/15.25 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y))))),
% 23.98/15.25 inference(transitivity,[status(thm)],[408, 406])).
% 23.98/15.25 tff(410,plain,
% 23.98/15.25 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 23.98/15.25 inference(quant_inst,[status(thm)],[])).
% 23.98/15.25 tff(411,plain,
% 23.98/15.25 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | p1(tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_4(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))),
% 23.98/15.25 inference(modus_ponens,[status(thm)],[410, 409])).
% 23.98/15.25 tff(412,plain,
% 23.98/15.25 (![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))),
% 23.98/15.25 inference(unit_resolution,[status(thm)],[411, 278, 405, 403])).
% 23.98/15.25 tff(413,plain,
% 23.98/15.25 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(414,plain,
% 23.98/15.25 ((p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))))) <=> (p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))))),
% 23.98/15.25 inference(rewrite,[status(thm)],[])).
% 23.98/15.25 tff(415,plain,
% 23.98/15.25 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))))),
% 23.98/15.26 inference(monotonicity,[status(thm)],[414])).
% 23.98/15.26 tff(416,plain,
% 23.98/15.26 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))))),
% 23.98/15.26 inference(transitivity,[status(thm)],[415, 413])).
% 23.98/15.26 tff(417,plain,
% 23.98/15.26 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))))),
% 23.98/15.26 inference(quant_inst,[status(thm)],[])).
% 23.98/15.26 tff(418,plain,
% 23.98/15.26 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~r1(X, tptp_fun_Y_9(X))) | (~p1(tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_1(tptp_fun_Y_7(X!18))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))),
% 23.98/15.26 inference(modus_ponens,[status(thm)],[417, 416])).
% 23.98/15.26 tff(419,plain,
% 23.98/15.26 (~((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))),
% 23.98/15.26 inference(unit_resolution,[status(thm)],[418, 259, 401, 405])).
% 23.98/15.26 tff(420,plain,
% 23.98/15.26 (((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.26 inference(tautology,[status(thm)],[])).
% 23.98/15.26 tff(421,plain,
% 23.98/15.26 (r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.26 inference(unit_resolution,[status(thm)],[420, 419])).
% 23.98/15.26 tff(422,plain,
% 23.98/15.26 (((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.26 inference(tautology,[status(thm)],[])).
% 23.98/15.26 tff(423,plain,
% 23.98/15.26 (p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.26 inference(unit_resolution,[status(thm)],[422, 419])).
% 23.98/15.26 tff(424,plain,
% 23.98/15.26 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))))),
% 23.98/15.26 inference(rewrite,[status(thm)],[])).
% 23.98/15.26 tff(425,plain,
% 23.98/15.26 (((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))) <=> ((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))))),
% 23.98/15.26 inference(rewrite,[status(thm)],[])).
% 23.98/15.26 tff(426,plain,
% 23.98/15.26 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))))),
% 23.98/15.26 inference(monotonicity,[status(thm)],[425])).
% 23.98/15.26 tff(427,plain,
% 23.98/15.26 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))))),
% 23.98/15.26 inference(transitivity,[status(thm)],[426, 424])).
% 23.98/15.26 tff(428,plain,
% 23.98/15.26 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))),
% 23.98/15.27 inference(quant_inst,[status(thm)],[])).
% 23.98/15.27 tff(429,plain,
% 23.98/15.27 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), Y)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))),
% 23.98/15.27 inference(modus_ponens,[status(thm)],[428, 427])).
% 23.98/15.27 tff(430,plain,
% 23.98/15.27 ($false),
% 23.98/15.27 inference(unit_resolution,[status(thm)],[429, 423, 421, 412, 1])).
% 23.98/15.27 tff(431,plain,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))), inference(lemma,lemma(discharge,[]))).
% 23.98/15.27 tff(432,plain,
% 23.98/15.27 (((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))),
% 23.98/15.27 inference(tautology,[status(thm)],[])).
% 23.98/15.27 tff(433,plain,
% 23.98/15.27 (~p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.27 inference(unit_resolution,[status(thm)],[432, 419])).
% 23.98/15.27 tff(434,plain,
% 23.98/15.27 (((~p1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_X_1(tptp_fun_Y_7(X!18)), tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))) | r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.27 inference(tautology,[status(thm)],[])).
% 23.98/15.27 tff(435,plain,
% 23.98/15.27 (r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))),
% 23.98/15.27 inference(unit_resolution,[status(thm)],[434, 419])).
% 23.98/15.27 tff(436,plain,
% 23.98/15.27 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))) | (p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))),
% 23.98/15.27 inference(rewrite,[status(thm)],[])).
% 23.98/15.27 tff(437,plain,
% 23.98/15.27 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))) | (p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18))))))),
% 23.98/15.27 inference(quant_inst,[status(thm)],[])).
% 23.98/15.27 tff(438,plain,
% 23.98/15.27 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), X)))) | p1(tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))) | (~r1(tptp_fun_Y_9(tptp_fun_X_1(tptp_fun_Y_7(X!18))), tptp_fun_X_10(tptp_fun_X_1(tptp_fun_Y_7(X!18)))))),
% 23.98/15.27 inference(modus_ponens,[status(thm)],[437, 436])).
% 23.98/15.27 tff(439,plain,
% 23.98/15.27 ($false),
% 23.98/15.27 inference(unit_resolution,[status(thm)],[438, 435, 433, 431])).
% 23.98/15.27 % SZS output end Proof
%------------------------------------------------------------------------------