TSTP Solution File: LCL658+1.010 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL658+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 04:57:31 EDT 2022
% Result : Theorem 0.17s 0.48s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL658+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.34 % Computer : n006.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Thu Sep 1 23:20:24 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.11/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.34 Usage: tptp [options] [-file:]file
% 0.11/0.34 -h, -? prints this message.
% 0.11/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.34 -m, -model generate model.
% 0.11/0.34 -p, -proof generate proof.
% 0.11/0.34 -c, -core generate unsat core of named formulas.
% 0.11/0.34 -st, -statistics display statistics.
% 0.11/0.34 -t:timeout set timeout (in second).
% 0.11/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.34 -<param>:<value> configuration parameter and value.
% 0.11/0.34 -o:<output-file> file to place output in.
% 0.17/0.48 % SZS status Theorem
% 0.17/0.48 % SZS output start Proof
% 0.17/0.48 tff(r1_type, type, (
% 0.17/0.48 r1: ( $i * $i ) > $o)).
% 0.17/0.48 tff(tptp_fun_Y_4_type, type, (
% 0.17/0.48 tptp_fun_Y_4: $i > $i)).
% 0.17/0.48 tff(tptp_fun_X_3_type, type, (
% 0.17/0.48 tptp_fun_X_3: $i > $i)).
% 0.17/0.48 tff(p1_type, type, (
% 0.17/0.48 p1: $i > $o)).
% 0.17/0.48 tff(tptp_fun_X_15_type, type, (
% 0.17/0.48 tptp_fun_X_15: $i)).
% 0.17/0.48 tff(tptp_fun_Y_16_type, type, (
% 0.17/0.48 tptp_fun_Y_16: $i)).
% 0.17/0.48 tff(tptp_fun_X_1_type, type, (
% 0.17/0.48 tptp_fun_X_1: $i > $i)).
% 0.17/0.48 tff(tptp_fun_X_0_type, type, (
% 0.17/0.48 tptp_fun_X_0: $i)).
% 0.17/0.48 tff(tptp_fun_Y_2_type, type, (
% 0.17/0.48 tptp_fun_Y_2: $i > $i)).
% 0.17/0.48 tff(tptp_fun_Y_17_type, type, (
% 0.17/0.48 tptp_fun_Y_17: $i)).
% 0.17/0.48 tff(tptp_fun_Y_14_type, type, (
% 0.17/0.48 tptp_fun_Y_14: $i)).
% 0.17/0.48 tff(tptp_fun_X_13_type, type, (
% 0.17/0.48 tptp_fun_X_13: $i)).
% 0.17/0.48 tff(tptp_fun_Y_12_type, type, (
% 0.17/0.48 tptp_fun_Y_12: $i)).
% 0.17/0.48 tff(tptp_fun_X_11_type, type, (
% 0.17/0.48 tptp_fun_X_11: $i)).
% 0.17/0.48 tff(tptp_fun_Y_10_type, type, (
% 0.17/0.48 tptp_fun_Y_10: $i)).
% 0.17/0.48 tff(tptp_fun_X_9_type, type, (
% 0.17/0.48 tptp_fun_X_9: $i > $i)).
% 0.17/0.48 tff(tptp_fun_Y_8_type, type, (
% 0.17/0.48 tptp_fun_Y_8: $i > $i)).
% 0.17/0.48 tff(tptp_fun_Y_7_type, type, (
% 0.17/0.48 tptp_fun_Y_7: $i > $i)).
% 0.17/0.48 tff(tptp_fun_Y_5_type, type, (
% 0.17/0.48 tptp_fun_Y_5: $i > $i)).
% 0.17/0.48 tff(tptp_fun_X_6_type, type, (
% 0.17/0.48 tptp_fun_X_6: $i > $i)).
% 0.17/0.48 tff(1,assumption,(![Y: $i] : (p1(Y) | (~r1(X!15, Y)))), introduced(assumption)).
% 0.17/0.48 tff(2,plain,
% 0.17/0.48 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) & (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) & r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(3,plain,
% 0.17/0.49 (((r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(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!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(4,plain,
% 0.17/0.49 ((r1(X!0, Y!10) & (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(5,plain,
% 0.17/0.49 ((r1(Y!10, X!11) & (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(6,plain,
% 0.17/0.49 ((r1(X!11, Y!12) & (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(7,plain,
% 0.17/0.49 ((r1(Y!12, X!13) & (r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(8,plain,
% 0.17/0.49 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(9,plain,
% 0.17/0.49 ((r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & (r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) <=> (r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(10,plain,
% 0.17/0.49 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) <=> (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(bind,[status(th)],[])).
% 0.17/0.49 tff(11,plain,
% 0.17/0.49 (![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 0.17/0.49 inference(quant_intro,[status(thm)],[10])).
% 0.17/0.49 tff(12,plain,
% 0.17/0.49 (((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) <=> (r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))))),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(13,plain,
% 0.17/0.49 ((~(~r1(Y!14, X!15))) <=> r1(Y!14, X!15)),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(14,plain,
% 0.17/0.49 (((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) <=> (r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & (r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(monotonicity,[status(thm)],[13, 12, 11])).
% 0.17/0.49 tff(15,plain,
% 0.17/0.49 (((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) <=> (r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(transitivity,[status(thm)],[14, 9])).
% 0.17/0.49 tff(16,plain,
% 0.17/0.49 ((~(~r1(X!13, Y!14))) <=> r1(X!13, Y!14)),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(17,plain,
% 0.17/0.49 (((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!13, Y!14) & (r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 0.17/0.49 inference(monotonicity,[status(thm)],[16, 15])).
% 0.17/0.49 tff(18,plain,
% 0.17/0.49 (((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.49 inference(transitivity,[status(thm)],[17, 8])).
% 0.17/0.49 tff(19,plain,
% 0.17/0.49 ((~(~r1(Y!12, X!13))) <=> r1(Y!12, X!13)),
% 0.17/0.49 inference(rewrite,[status(thm)],[])).
% 0.17/0.49 tff(20,plain,
% 0.17/0.49 (((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))) <=> (r1(Y!12, X!13) & (r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 0.17/0.49 inference(monotonicity,[status(thm)],[19, 18])).
% 0.17/0.49 tff(21,plain,
% 0.17/0.49 (((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))) <=> (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.50 inference(transitivity,[status(thm)],[20, 7])).
% 0.17/0.50 tff(22,plain,
% 0.17/0.50 ((~(~r1(X!11, Y!12))) <=> r1(X!11, Y!12)),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(23,plain,
% 0.17/0.50 (((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))) <=> (r1(X!11, Y!12) & (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 0.17/0.50 inference(monotonicity,[status(thm)],[22, 21])).
% 0.17/0.50 tff(24,plain,
% 0.17/0.50 (((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))) <=> (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.50 inference(transitivity,[status(thm)],[23, 6])).
% 0.17/0.50 tff(25,plain,
% 0.17/0.50 ((~(~r1(Y!10, X!11))) <=> r1(Y!10, X!11)),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(26,plain,
% 0.17/0.50 (((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))))) <=> (r1(Y!10, X!11) & (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 0.17/0.50 inference(monotonicity,[status(thm)],[25, 24])).
% 0.17/0.50 tff(27,plain,
% 0.17/0.50 (((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))))) <=> (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.50 inference(transitivity,[status(thm)],[26, 5])).
% 0.17/0.50 tff(28,plain,
% 0.17/0.50 ((~(~r1(X!0, Y!10))) <=> r1(X!0, Y!10)),
% 0.17/0.50 inference(rewrite,[status(thm)],[])).
% 0.17/0.50 tff(29,plain,
% 0.17/0.50 (((~(~r1(X!0, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) <=> (r1(X!0, Y!10) & (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 0.17/0.50 inference(monotonicity,[status(thm)],[28, 27])).
% 0.17/0.50 tff(30,plain,
% 0.17/0.50 (((~(~r1(X!0, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) <=> (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 0.17/0.50 inference(transitivity,[status(thm)],[29, 4])).
% 0.17/0.50 tff(31,plain,
% 0.17/0.50 ((((~(~r1(X!0, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(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!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.17/0.50 inference(monotonicity,[status(thm)],[30])).
% 0.17/0.50 tff(32,plain,
% 0.17/0.50 ((((~(~r1(X!0, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(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!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.17/0.50 inference(transitivity,[status(thm)],[31, 3])).
% 0.17/0.50 tff(33,plain,
% 0.17/0.50 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~(~p1(tptp_fun_Y_5(X)))) & (~(~r1(X, tptp_fun_Y_5(X)))) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~p1(tptp_fun_Y_8(X)))) & (~(~r1(X, tptp_fun_Y_8(X)))) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.17/0.51 inference(bind,[status(th)],[])).
% 0.17/0.51 tff(34,plain,
% 0.17/0.51 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~(~p1(tptp_fun_Y_5(X)))) & (~(~r1(X, tptp_fun_Y_5(X)))) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~p1(tptp_fun_Y_8(X)))) & (~(~r1(X, tptp_fun_Y_8(X)))) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))),
% 0.17/0.51 inference(quant_intro,[status(thm)],[33])).
% 0.17/0.51 tff(35,plain,
% 0.17/0.51 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~(~p1(tptp_fun_Y_5(X)))) & (~(~r1(X, tptp_fun_Y_5(X)))) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~p1(tptp_fun_Y_8(X)))) & (~(~r1(X, tptp_fun_Y_8(X)))) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & (((~(~r1(X!0, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) & (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 0.17/0.51 inference(monotonicity,[status(thm)],[34, 32])).
% 0.17/0.51 tff(36,plain,
% 0.17/0.51 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~(~p1(tptp_fun_Y_5(X)))) & (~(~r1(X, tptp_fun_Y_5(X)))) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | ((~(~p1(X))) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | ((~(~p1(tptp_fun_Y_8(X)))) & (~(~r1(X, tptp_fun_Y_8(X)))) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & (~(~r1(X, tptp_fun_Y_7(X)))) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & (((~(~r1(X!0, Y!10))) & ((~(~r1(Y!10, X!11))) & ((~(~r1(X!11, Y!12))) & ((~(~r1(Y!12, X!13))) & ((~(~r1(X!13, Y!14))) & ((~(~r1(Y!14, X!15))) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & ((~(~r1(X!15, Y!17))) & ![X: $i] : (p1(X) | (~r1(Y!17, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | ((~(~p1(tptp_fun_X_3(Y)))) & (~(~r1(Y, tptp_fun_X_3(Y)))) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) & r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.17/0.52 inference(transitivity,[status(thm)],[35, 2])).
% 0.17/0.52 tff(37,plain,
% 0.17/0.52 (?[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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.17/0.52 inference(rewrite,[status(thm)],[])).
% 0.17/0.52 tff(38,plain,
% 0.17/0.52 ((~(~?[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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.17/0.53 inference(rewrite,[status(thm)],[])).
% 0.17/0.53 tff(39,plain,
% 0.17/0.53 ((~?[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)) | 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)) | 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)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~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)) | 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)) | p1(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 0.42/0.53 inference(rewrite,[status(thm)],[])).
% 0.42/0.53 tff(40,plain,
% 0.42/0.53 ((~(~?[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)) | 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)) | 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)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~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)) | 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)) | p1(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 0.42/0.54 inference(monotonicity,[status(thm)],[39])).
% 0.42/0.54 tff(41,plain,
% 0.42/0.54 ((~(~?[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)) | 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)) | 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)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~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)) | 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)) | p1(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.43/0.55 inference(transitivity,[status(thm)],[40, 38])).
% 0.43/0.55 tff(42,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)) | 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)) | 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)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~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)) | 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)) | p1(X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 0.43/0.55 tff(43,plain,
% 0.43/0.55 (?[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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.43/0.55 tff(44,plain,
% 0.43/0.55 (?[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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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] : (p1(Y) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(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)) | (((~p1(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)))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~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] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~p1(X)) | (~r1(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] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.43/0.55 inference(modus_ponens,[status(thm)],[43, 37])).
% 0.43/0.55 tff(45,plain,
% 0.43/0.55 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) & r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & (~(p1(Y!16) | (~r1(X!15, Y!16)))) & r1(X!15, Y!17) & ![X: $i] : (p1(X) | (~r1(Y!17, X))) & ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[44, 36])).
% 0.43/0.56 tff(46,plain,
% 0.43/0.56 (~(p1(Y!16) | (~r1(X!15, Y!16)))),
% 0.43/0.56 inference(and_elim,[status(thm)],[45])).
% 0.43/0.56 tff(47,plain,
% 0.43/0.56 (r1(X!15, Y!16)),
% 0.43/0.56 inference(or_elim,[status(thm)],[46])).
% 0.43/0.56 tff(48,plain,
% 0.43/0.56 (~p1(Y!16)),
% 0.43/0.56 inference(or_elim,[status(thm)],[46])).
% 0.43/0.56 tff(49,plain,
% 0.43/0.56 (((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)))) | (p1(Y!16) | (~r1(X!15, Y!16)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)))) | p1(Y!16) | (~r1(X!15, Y!16)))),
% 0.43/0.56 inference(rewrite,[status(thm)],[])).
% 0.43/0.56 tff(50,plain,
% 0.43/0.56 ((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)))) | (p1(Y!16) | (~r1(X!15, Y!16)))),
% 0.43/0.56 inference(quant_inst,[status(thm)],[])).
% 0.43/0.56 tff(51,plain,
% 0.43/0.56 ((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)))) | p1(Y!16) | (~r1(X!15, Y!16))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.43/0.56 tff(52,plain,
% 0.43/0.56 ($false),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[51, 48, 47, 1])).
% 0.43/0.56 tff(53,plain,(~![Y: $i] : (p1(Y) | (~r1(X!15, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.56 tff(54,assumption,(~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))), introduced(assumption)).
% 0.43/0.56 tff(55,plain,
% 0.43/0.56 ((p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17)))) | r1(Y!17, tptp_fun_X_1(Y!17))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(56,plain,
% 0.43/0.56 (r1(Y!17, tptp_fun_X_1(Y!17))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.43/0.56 tff(57,plain,
% 0.43/0.56 ((p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17)))) | (~p1(tptp_fun_X_1(Y!17)))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(58,plain,
% 0.43/0.56 (~p1(tptp_fun_X_1(Y!17))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[57, 54])).
% 0.43/0.56 tff(59,plain,
% 0.43/0.56 (^[X: $i] : refl((p1(X) | (~r1(Y!17, X))) <=> (p1(X) | (~r1(Y!17, X))))),
% 0.43/0.56 inference(bind,[status(th)],[])).
% 0.43/0.56 tff(60,plain,
% 0.43/0.56 (![X: $i] : (p1(X) | (~r1(Y!17, X))) <=> ![X: $i] : (p1(X) | (~r1(Y!17, X)))),
% 0.43/0.56 inference(quant_intro,[status(thm)],[59])).
% 0.43/0.56 tff(61,plain,
% 0.43/0.56 (![X: $i] : (p1(X) | (~r1(Y!17, X)))),
% 0.43/0.56 inference(and_elim,[status(thm)],[45])).
% 0.43/0.56 tff(62,plain,
% 0.43/0.56 (![X: $i] : (p1(X) | (~r1(Y!17, X)))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.43/0.56 tff(63,plain,
% 0.43/0.56 (((~![X: $i] : (p1(X) | (~r1(Y!17, X)))) | (p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!17, X)))) | p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))),
% 0.43/0.56 inference(rewrite,[status(thm)],[])).
% 0.43/0.56 tff(64,plain,
% 0.43/0.56 ((~![X: $i] : (p1(X) | (~r1(Y!17, X)))) | (p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))),
% 0.43/0.56 inference(quant_inst,[status(thm)],[])).
% 0.43/0.56 tff(65,plain,
% 0.43/0.56 ((~![X: $i] : (p1(X) | (~r1(Y!17, X)))) | p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17)))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.43/0.56 tff(66,plain,
% 0.43/0.56 ($false),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[65, 62, 58, 56])).
% 0.43/0.56 tff(67,plain,(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17)))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.56 tff(68,assumption,(![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), introduced(assumption)).
% 0.43/0.56 tff(69,plain,
% 0.43/0.56 (r1(X!15, Y!17)),
% 0.43/0.56 inference(and_elim,[status(thm)],[45])).
% 0.43/0.56 tff(70,plain,
% 0.43/0.56 (((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(X!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(X!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))))),
% 0.43/0.56 inference(rewrite,[status(thm)],[])).
% 0.43/0.56 tff(71,plain,
% 0.43/0.56 ((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(X!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))))),
% 0.43/0.56 inference(quant_inst,[status(thm)],[])).
% 0.43/0.56 tff(72,plain,
% 0.43/0.56 ((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(X!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17)))))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.43/0.56 tff(73,plain,
% 0.43/0.56 ($false),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[72, 69, 68, 67])).
% 0.43/0.56 tff(74,plain,(~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.56 tff(75,assumption,(~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 0.43/0.56 tff(76,plain,
% 0.43/0.56 ((p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | r1(X!15, tptp_fun_Y_7(X!15))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(77,plain,
% 0.43/0.56 (r1(X!15, tptp_fun_Y_7(X!15))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.43/0.56 tff(78,plain,
% 0.43/0.56 ((p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~p1(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(79,plain,
% 0.43/0.56 (~p1(tptp_fun_Y_7(X!15))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[78, 75])).
% 0.43/0.56 tff(80,plain,
% 0.43/0.56 (^[Y: $i] : refl((p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) <=> (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 0.43/0.56 inference(bind,[status(th)],[])).
% 0.43/0.56 tff(81,plain,
% 0.43/0.56 (![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 0.43/0.56 inference(quant_intro,[status(thm)],[80])).
% 0.43/0.56 tff(82,plain,
% 0.43/0.56 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) <=> (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 0.43/0.56 inference(bind,[status(th)],[])).
% 0.43/0.56 tff(83,plain,
% 0.43/0.56 (![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 0.43/0.56 inference(quant_intro,[status(thm)],[82])).
% 0.43/0.56 tff(84,plain,
% 0.43/0.56 (![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 0.43/0.56 inference(and_elim,[status(thm)],[45])).
% 0.43/0.56 tff(85,plain,
% 0.43/0.56 (![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.43/0.56 tff(86,plain,
% 0.43/0.56 (![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.43/0.56 tff(87,plain,
% 0.43/0.56 (((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))))),
% 0.43/0.56 inference(rewrite,[status(thm)],[])).
% 0.43/0.56 tff(88,plain,
% 0.43/0.56 ((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))))),
% 0.43/0.56 inference(quant_inst,[status(thm)],[])).
% 0.43/0.56 tff(89,plain,
% 0.43/0.56 ((~![Y: $i] : (p1(Y) | (~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15))))))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.43/0.56 tff(90,plain,
% 0.43/0.56 (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[89, 86, 79, 77])).
% 0.43/0.56 tff(91,plain,
% 0.43/0.56 (((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15))))) | r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(92,plain,
% 0.43/0.56 (r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.43/0.56 tff(93,plain,
% 0.43/0.56 (((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15))))) | p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(94,plain,
% 0.43/0.56 (p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[93, 90])).
% 0.43/0.56 tff(95,plain,
% 0.43/0.56 ((p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(96,plain,
% 0.43/0.56 (![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[95, 75])).
% 0.43/0.56 tff(97,plain,
% 0.43/0.56 (((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y))))),
% 0.43/0.56 inference(rewrite,[status(thm)],[])).
% 0.43/0.56 tff(98,plain,
% 0.43/0.56 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y))))),
% 0.43/0.56 inference(quant_inst,[status(thm)],[])).
% 0.43/0.56 tff(99,plain,
% 0.43/0.56 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y)))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.43/0.56 tff(100,plain,
% 0.43/0.56 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y)))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[99, 96, 94, 92])).
% 0.43/0.56 tff(101,plain,
% 0.43/0.56 (((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15))))) | r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(102,plain,
% 0.43/0.56 (r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[101, 90])).
% 0.43/0.56 tff(103,plain,
% 0.43/0.56 (((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | (~r1(tptp_fun_Y_7(X!15), tptp_fun_X_3(tptp_fun_Y_7(X!15)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15))))) | (~p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))))),
% 0.43/0.56 inference(tautology,[status(thm)],[])).
% 0.43/0.56 tff(104,plain,
% 0.43/0.56 (~p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15)))),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[103, 90])).
% 0.43/0.56 tff(105,plain,
% 0.43/0.56 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y)))) | (p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))),
% 0.43/0.56 inference(rewrite,[status(thm)],[])).
% 0.43/0.56 tff(106,plain,
% 0.43/0.56 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y)))) | (p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15)))))),
% 0.43/0.56 inference(quant_inst,[status(thm)],[])).
% 0.43/0.56 tff(107,plain,
% 0.43/0.56 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), Y)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!15))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!15)), tptp_fun_Y_4(tptp_fun_Y_7(X!15))))),
% 0.43/0.56 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.43/0.56 tff(108,plain,
% 0.43/0.56 ($false),
% 0.43/0.56 inference(unit_resolution,[status(thm)],[107, 104, 102, 100])).
% 0.43/0.56 tff(109,plain,(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 0.43/0.56 tff(110,plain,
% 0.43/0.56 (r1(X!0, Y!10)),
% 0.43/0.56 inference(and_elim,[status(thm)],[45])).
% 0.43/0.56 tff(111,plain,
% 0.43/0.56 (^[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] : (p1(Y) | (~r1(X, Y))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 0.43/0.56 inference(bind,[status(th)],[])).
% 0.43/0.56 tff(112,plain,
% 0.43/0.56 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 0.43/0.57 inference(quant_intro,[status(thm)],[111])).
% 0.43/0.57 tff(113,plain,
% 0.43/0.57 (^[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)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))),
% 0.43/0.57 inference(bind,[status(th)],[])).
% 0.43/0.57 tff(114,plain,
% 0.43/0.57 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.43/0.57 inference(quant_intro,[status(thm)],[113])).
% 0.43/0.57 tff(115,plain,
% 0.43/0.57 (^[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] : (p1(Y) | (~r1(X, Y))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))),
% 0.43/0.57 inference(bind,[status(th)],[])).
% 0.43/0.57 tff(116,plain,
% 0.43/0.57 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.43/0.57 inference(quant_intro,[status(thm)],[115])).
% 0.43/0.57 tff(117,plain,
% 0.43/0.57 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.43/0.58 inference(transitivity,[status(thm)],[116, 114])).
% 0.43/0.58 tff(118,plain,
% 0.43/0.58 (^[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] : (p1(Y) | (~r1(X, Y))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))),
% 0.43/0.58 inference(bind,[status(th)],[])).
% 0.43/0.58 tff(119,plain,
% 0.43/0.58 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.43/0.58 inference(quant_intro,[status(thm)],[118])).
% 0.43/0.58 tff(120,plain,
% 0.43/0.58 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (p1(tptp_fun_Y_5(X)) & r1(X, tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | ![Y: $i] : ((~r1(X, Y)) | (p1(tptp_fun_X_3(Y)) & r1(Y, tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (p1(tptp_fun_Y_8(X)) & r1(X, tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))),
% 0.43/0.58 inference(and_elim,[status(thm)],[45])).
% 0.43/0.58 tff(121,plain,
% 0.43/0.58 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.43/0.58 tff(122,plain,
% 0.43/0.58 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[121, 117])).
% 0.43/0.58 tff(123,plain,
% 0.43/0.58 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[122, 112])).
% 0.43/0.58 tff(124,plain,
% 0.43/0.58 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~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(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(125,plain,
% 0.43/0.58 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(126,plain,
% 0.43/0.59 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.43/0.59 tff(127,plain,
% 0.43/0.59 (![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[126, 123, 110])).
% 0.43/0.59 tff(128,plain,
% 0.43/0.59 (r1(Y!10, X!11)),
% 0.43/0.59 inference(and_elim,[status(thm)],[45])).
% 0.43/0.59 tff(129,plain,
% 0.43/0.59 (((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(130,plain,
% 0.43/0.59 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 0.43/0.59 inference(quant_inst,[status(thm)],[])).
% 0.43/0.59 tff(131,plain,
% 0.43/0.59 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.43/0.59 tff(132,plain,
% 0.43/0.59 (![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 0.43/0.59 inference(unit_resolution,[status(thm)],[131, 128, 127])).
% 0.43/0.59 tff(133,plain,
% 0.43/0.59 (r1(X!11, Y!12)),
% 0.43/0.59 inference(and_elim,[status(thm)],[45])).
% 0.43/0.59 tff(134,plain,
% 0.43/0.59 (((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(135,plain,
% 0.43/0.60 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(136,plain,
% 0.43/0.60 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.43/0.60 tff(137,plain,
% 0.43/0.60 (![X: $i] : ((~r1(Y!12, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 0.43/0.60 inference(unit_resolution,[status(thm)],[136, 133, 132])).
% 0.43/0.60 tff(138,plain,
% 0.43/0.60 (r1(Y!12, X!13)),
% 0.43/0.60 inference(and_elim,[status(thm)],[45])).
% 0.43/0.60 tff(139,plain,
% 0.43/0.60 (((~![X: $i] : ((~r1(Y!12, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!12, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(140,plain,
% 0.43/0.60 ((~![X: $i] : ((~r1(Y!12, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 0.43/0.60 inference(quant_inst,[status(thm)],[])).
% 0.43/0.60 tff(141,plain,
% 0.43/0.60 ((~![X: $i] : ((~r1(Y!12, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.43/0.60 tff(142,plain,
% 0.43/0.60 (![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[141, 138, 137])).
% 0.43/0.61 tff(143,plain,
% 0.43/0.61 (r1(X!13, Y!14)),
% 0.43/0.61 inference(and_elim,[status(thm)],[45])).
% 0.43/0.61 tff(144,plain,
% 0.43/0.61 (((~![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(145,plain,
% 0.43/0.61 ((~![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 0.43/0.61 inference(quant_inst,[status(thm)],[])).
% 0.43/0.61 tff(146,plain,
% 0.43/0.61 ((~![Y: $i] : ((~r1(X!13, 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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.43/0.61 tff(147,plain,
% 0.43/0.61 (![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.43/0.61 inference(unit_resolution,[status(thm)],[146, 143, 142])).
% 0.43/0.61 tff(148,plain,
% 0.43/0.61 (r1(Y!14, X!15)),
% 0.43/0.61 inference(and_elim,[status(thm)],[45])).
% 0.43/0.61 tff(149,plain,
% 0.43/0.61 (((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(150,plain,
% 0.43/0.62 (((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | (~r1(X!15, tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(151,plain,
% 0.43/0.62 (((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | (~r1(X!15, tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[150])).
% 0.43/0.62 tff(152,plain,
% 0.43/0.62 (((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | (~r1(X!15, tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.43/0.62 inference(transitivity,[status(thm)],[151, 149])).
% 0.43/0.62 tff(153,plain,
% 0.43/0.62 ((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | (~r1(X!15, tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.43/0.63 inference(quant_inst,[status(thm)],[])).
% 0.43/0.63 tff(154,plain,
% 0.43/0.63 ((~![X: $i] : ((~r1(Y!14, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(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_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!14, X!15)) | (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 0.43/0.63 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.43/0.63 tff(155,plain,
% 0.43/0.63 (~((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[154, 148, 147])).
% 0.51/0.63 tff(156,plain,
% 0.51/0.63 (((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | (p1(X!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(157,plain,
% 0.51/0.63 (p1(X!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[156, 155])).
% 0.51/0.63 tff(158,plain,
% 0.51/0.63 ((~(p1(X!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | p1(X!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(159,plain,
% 0.51/0.63 (p1(X!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.51/0.63 tff(160,plain,
% 0.51/0.63 (p1(X!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[159, 109])).
% 0.51/0.63 tff(161,plain,
% 0.51/0.63 (p1(X!15)),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[160, 74])).
% 0.51/0.63 tff(162,assumption,(~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))), introduced(assumption)).
% 0.51/0.63 tff(163,plain,
% 0.51/0.63 (((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | r1(X!15, tptp_fun_Y_5(X!15))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(164,plain,
% 0.51/0.63 (r1(X!15, tptp_fun_Y_5(X!15))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.51/0.63 tff(165,plain,
% 0.51/0.63 (((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(166,plain,
% 0.51/0.63 ((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[165, 155])).
% 0.51/0.63 tff(167,plain,
% 0.51/0.63 ((~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(168,plain,
% 0.51/0.63 ((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[167, 166])).
% 0.51/0.63 tff(169,plain,
% 0.51/0.63 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[168, 109])).
% 0.51/0.63 tff(170,plain,
% 0.51/0.63 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~r1(X!15, tptp_fun_Y_5(X!15))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | (~r1(X!15, tptp_fun_Y_5(X!15))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 0.51/0.63 inference(rewrite,[status(thm)],[])).
% 0.51/0.63 tff(171,plain,
% 0.51/0.63 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~r1(X!15, tptp_fun_Y_5(X!15))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 0.51/0.63 inference(quant_inst,[status(thm)],[])).
% 0.51/0.63 tff(172,plain,
% 0.51/0.63 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | (~r1(X!15, tptp_fun_Y_5(X!15))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))),
% 0.51/0.63 inference(modus_ponens,[status(thm)],[171, 170])).
% 0.51/0.63 tff(173,plain,
% 0.51/0.63 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[172, 169, 164])).
% 0.51/0.63 tff(174,plain,
% 0.51/0.63 (((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(175,plain,
% 0.51/0.63 (r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[174, 162])).
% 0.51/0.63 tff(176,plain,
% 0.51/0.63 (((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~p1(tptp_fun_X_6(X!15)))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(177,plain,
% 0.51/0.63 (~p1(tptp_fun_X_6(X!15))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[176, 162])).
% 0.51/0.63 tff(178,plain,
% 0.51/0.63 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))))),
% 0.51/0.63 inference(rewrite,[status(thm)],[])).
% 0.51/0.63 tff(179,plain,
% 0.51/0.63 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))))),
% 0.51/0.63 inference(quant_inst,[status(thm)],[])).
% 0.51/0.63 tff(180,plain,
% 0.51/0.63 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | p1(tptp_fun_X_6(X!15)) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15))))))),
% 0.51/0.63 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.51/0.63 tff(181,plain,
% 0.51/0.63 (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[180, 177, 175, 173])).
% 0.51/0.63 tff(182,plain,
% 0.51/0.63 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15))))) | r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(183,plain,
% 0.51/0.63 (r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[182, 181])).
% 0.51/0.63 tff(184,plain,
% 0.51/0.63 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15))))) | p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(185,plain,
% 0.51/0.63 (p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[184, 181])).
% 0.51/0.63 tff(186,plain,
% 0.51/0.63 (((~p1(tptp_fun_X_6(X!15))) | p1(tptp_fun_Y_2(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_2(tptp_fun_X_6(X!15))))) | p1(tptp_fun_X_6(X!15))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(187,plain,
% 0.51/0.63 ((~p1(tptp_fun_X_6(X!15))) | p1(tptp_fun_Y_2(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_2(tptp_fun_X_6(X!15))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[186, 177])).
% 0.51/0.63 tff(188,plain,
% 0.51/0.63 (((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.51/0.63 inference(tautology,[status(thm)],[])).
% 0.51/0.63 tff(189,plain,
% 0.51/0.63 (![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.51/0.63 inference(unit_resolution,[status(thm)],[188, 162])).
% 0.51/0.63 tff(190,plain,
% 0.51/0.63 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_X_6(X!15))) | p1(tptp_fun_Y_2(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_2(tptp_fun_X_6(X!15)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_X_6(X!15))) | p1(tptp_fun_Y_2(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_2(tptp_fun_X_6(X!15)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.51/0.64 inference(rewrite,[status(thm)],[])).
% 0.51/0.64 tff(191,plain,
% 0.51/0.64 ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_X_6(X!15))) | p1(tptp_fun_Y_2(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_2(tptp_fun_X_6(X!15)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.51/0.64 inference(quant_inst,[status(thm)],[])).
% 0.51/0.64 tff(192,plain,
% 0.51/0.64 ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~((~p1(tptp_fun_X_6(X!15))) | p1(tptp_fun_Y_2(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_2(tptp_fun_X_6(X!15)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.51/0.64 tff(193,plain,
% 0.51/0.64 (![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[192, 175, 189, 187])).
% 0.51/0.64 tff(194,plain,
% 0.51/0.64 (((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X))))),
% 0.51/0.64 inference(rewrite,[status(thm)],[])).
% 0.51/0.64 tff(195,plain,
% 0.51/0.64 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X))))),
% 0.51/0.64 inference(quant_inst,[status(thm)],[])).
% 0.51/0.64 tff(196,plain,
% 0.51/0.64 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_6(X!15), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X)))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.51/0.64 tff(197,plain,
% 0.51/0.64 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X)))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[196, 193, 185, 183])).
% 0.51/0.64 tff(198,plain,
% 0.51/0.64 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15))))) | r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))),
% 0.51/0.64 inference(tautology,[status(thm)],[])).
% 0.51/0.64 tff(199,plain,
% 0.51/0.64 (r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[198, 181])).
% 0.51/0.64 tff(200,plain,
% 0.51/0.64 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | (~r1(tptp_fun_X_6(X!15), tptp_fun_Y_8(tptp_fun_X_6(X!15)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15))))) | (~p1(tptp_fun_X_9(tptp_fun_X_6(X!15))))),
% 0.51/0.64 inference(tautology,[status(thm)],[])).
% 0.51/0.64 tff(201,plain,
% 0.51/0.64 (~p1(tptp_fun_X_9(tptp_fun_X_6(X!15)))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[200, 181])).
% 0.51/0.64 tff(202,plain,
% 0.51/0.64 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X)))) | (p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))),
% 0.51/0.64 inference(rewrite,[status(thm)],[])).
% 0.51/0.64 tff(203,plain,
% 0.51/0.64 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X)))) | (p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15)))))),
% 0.51/0.64 inference(quant_inst,[status(thm)],[])).
% 0.51/0.64 tff(204,plain,
% 0.51/0.64 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), X)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!15))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!15)), tptp_fun_X_9(tptp_fun_X_6(X!15))))),
% 0.51/0.64 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.51/0.64 tff(205,plain,
% 0.51/0.64 ($false),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[204, 201, 199, 197])).
% 0.51/0.64 tff(206,plain,((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.64 tff(207,plain,
% 0.51/0.64 (((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~(p1(tptp_fun_Y_7(X!15)) | (~r1(X!15, tptp_fun_Y_7(X!15))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!15), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 0.51/0.64 inference(tautology,[status(thm)],[])).
% 0.51/0.64 tff(208,plain,
% 0.51/0.64 ((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[207, 155])).
% 0.51/0.64 tff(209,plain,
% 0.51/0.64 ((~((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.51/0.64 inference(tautology,[status(thm)],[])).
% 0.51/0.64 tff(210,plain,
% 0.51/0.64 ((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!15))) | p1(tptp_fun_X_6(X!15)) | (~r1(X!15, tptp_fun_Y_5(X!15))) | (~r1(tptp_fun_Y_5(X!15), tptp_fun_X_6(X!15))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!15), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~p1(Y)) | (~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.51/0.64 tff(211,plain,
% 0.51/0.64 ((~p1(X!15)) | ![Y: $i] : (p1(Y) | (~r1(X!15, Y))) | ![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[210, 206])).
% 0.51/0.64 tff(212,plain,
% 0.51/0.64 (![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 0.51/0.64 inference(unit_resolution,[status(thm)],[211, 161, 53])).
% 0.51/0.64 tff(213,plain,
% 0.51/0.64 (^[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)) | (~(p1(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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 0.51/0.64 inference(bind,[status(th)],[])).
% 0.51/0.64 tff(214,plain,
% 0.51/0.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))),
% 0.51/0.64 inference(quant_intro,[status(thm)],[213])).
% 0.51/0.64 tff(215,plain,
% 0.51/0.64 (^[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(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)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 0.51/0.65 inference(bind,[status(th)],[])).
% 0.51/0.65 tff(216,plain,
% 0.51/0.65 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))),
% 0.51/0.65 inference(quant_intro,[status(thm)],[215])).
% 0.51/0.65 tff(217,plain,
% 0.51/0.65 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))),
% 0.51/0.65 inference(transitivity,[status(thm)],[216, 214])).
% 0.51/0.65 tff(218,plain,
% 0.51/0.65 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))),
% 0.51/0.65 inference(and_elim,[status(thm)],[45])).
% 0.51/0.65 tff(219,plain,
% 0.51/0.65 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.51/0.65 tff(220,plain,
% 0.51/0.65 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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)) | (~(p1(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!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(221,plain,
% 0.51/0.65 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 0.51/0.65 inference(quant_inst,[status(thm)],[])).
% 0.51/0.65 tff(222,plain,
% 0.51/0.65 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.51/0.65 tff(223,plain,
% 0.51/0.65 (![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[222, 219, 110])).
% 0.51/0.65 tff(224,plain,
% 0.51/0.65 (((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(225,plain,
% 0.51/0.65 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 0.51/0.65 inference(quant_inst,[status(thm)],[])).
% 0.51/0.65 tff(226,plain,
% 0.51/0.65 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.51/0.65 tff(227,plain,
% 0.51/0.65 (![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[226, 128, 223])).
% 0.51/0.65 tff(228,plain,
% 0.51/0.65 (((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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!11, Y!12)) | ![X: $i] : ((~r1(Y!12, 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)))))))))) <=> ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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!11, Y!12)) | ![X: $i] : ((~r1(Y!12, 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)))))))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(229,plain,
% 0.51/0.65 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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!11, Y!12)) | ![X: $i] : ((~r1(Y!12, 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)))))))))),
% 0.51/0.65 inference(quant_inst,[status(thm)],[])).
% 0.51/0.65 tff(230,plain,
% 0.51/0.65 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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!11, Y!12)) | ![X: $i] : ((~r1(Y!12, 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))))))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.51/0.65 tff(231,plain,
% 0.51/0.65 (![X: $i] : ((~r1(Y!12, 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))))))))),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[230, 133, 227])).
% 0.51/0.65 tff(232,plain,
% 0.51/0.65 (((~![X: $i] : ((~r1(Y!12, 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))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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))))))))) <=> ((~![X: $i] : ((~r1(Y!12, 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))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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))))))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(233,plain,
% 0.51/0.65 ((~![X: $i] : ((~r1(Y!12, 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))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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))))))))),
% 0.51/0.65 inference(quant_inst,[status(thm)],[])).
% 0.51/0.65 tff(234,plain,
% 0.51/0.65 ((~![X: $i] : ((~r1(Y!12, 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))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, 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)))))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.51/0.65 tff(235,plain,
% 0.51/0.65 (![Y: $i] : ((~r1(X!13, 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)))))))),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[234, 138, 231])).
% 0.51/0.65 tff(236,plain,
% 0.51/0.65 (((~![Y: $i] : ((~r1(X!13, 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)))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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!13, 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)))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(237,plain,
% 0.51/0.65 ((~![Y: $i] : ((~r1(X!13, 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)))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 0.51/0.65 inference(quant_inst,[status(thm)],[])).
% 0.51/0.65 tff(238,plain,
% 0.51/0.65 ((~![Y: $i] : ((~r1(X!13, 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)))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.51/0.65 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.51/0.65 tff(239,plain,
% 0.51/0.65 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.51/0.65 inference(unit_resolution,[status(thm)],[238, 143, 235])).
% 0.51/0.65 tff(240,plain,
% 0.51/0.65 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.51/0.65 inference(rewrite,[status(thm)],[])).
% 0.51/0.65 tff(241,plain,
% 0.51/0.65 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 0.51/0.65 inference(quant_inst,[status(thm)],[])).
% 0.51/0.66 tff(242,plain,
% 0.51/0.66 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(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(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.51/0.66 tff(243,plain,
% 0.51/0.66 (![Y: $i] : ((~r1(X!15, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[242, 148, 239])).
% 0.51/0.66 tff(244,plain,
% 0.51/0.66 (((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(245,plain,
% 0.51/0.66 ((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.51/0.66 inference(quant_inst,[status(thm)],[])).
% 0.51/0.66 tff(246,plain,
% 0.51/0.66 ((~![Y: $i] : ((~r1(X!15, Y)) | (~(p1(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!15, Y!17)) | (~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.51/0.66 tff(247,plain,
% 0.51/0.66 ((~(p1(tptp_fun_X_1(Y!17)) | (~r1(Y!17, tptp_fun_X_1(Y!17))))) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[246, 69, 243])).
% 0.51/0.66 tff(248,plain,
% 0.51/0.66 (![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[247, 67])).
% 0.51/0.66 tff(249,assumption,(~((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))), introduced(assumption)).
% 0.51/0.66 tff(250,plain,
% 0.51/0.66 (((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17)))) | r1(Y!17, tptp_fun_X_3(Y!17))),
% 0.51/0.66 inference(tautology,[status(thm)],[])).
% 0.51/0.66 tff(251,plain,
% 0.51/0.66 (r1(Y!17, tptp_fun_X_3(Y!17))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[250, 249])).
% 0.51/0.66 tff(252,plain,
% 0.51/0.66 (((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!17, tptp_fun_X_3(Y!17))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(253,plain,
% 0.51/0.66 ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!17, tptp_fun_X_3(Y!17))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y))))),
% 0.51/0.66 inference(quant_inst,[status(thm)],[])).
% 0.51/0.66 tff(254,plain,
% 0.51/0.66 ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y)))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.51/0.66 tff(255,plain,
% 0.51/0.66 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y)))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[254, 251, 248])).
% 0.51/0.66 tff(256,plain,
% 0.51/0.66 (((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17)))) | r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))),
% 0.51/0.66 inference(tautology,[status(thm)],[])).
% 0.51/0.66 tff(257,plain,
% 0.51/0.66 (r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[256, 249])).
% 0.51/0.66 tff(258,plain,
% 0.51/0.66 (((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17)))) | (~p1(tptp_fun_Y_4(Y!17)))),
% 0.51/0.66 inference(tautology,[status(thm)],[])).
% 0.51/0.66 tff(259,plain,
% 0.51/0.66 (~p1(tptp_fun_Y_4(Y!17))),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[258, 249])).
% 0.51/0.66 tff(260,plain,
% 0.51/0.66 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y)))) | (p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y)))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(261,plain,
% 0.51/0.66 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y)))) | (p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))),
% 0.51/0.66 inference(quant_inst,[status(thm)],[])).
% 0.51/0.66 tff(262,plain,
% 0.51/0.66 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!17), Y)))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17)))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.51/0.66 tff(263,plain,
% 0.51/0.66 ($false),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[262, 259, 257, 255])).
% 0.51/0.66 tff(264,plain,((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17)))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.66 tff(265,plain,
% 0.51/0.66 (((~![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~r1(X!15, Y!17)) | (~((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (~r1(X!15, Y!17)) | (~((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(266,plain,
% 0.51/0.66 ((~![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~r1(X!15, Y!17)) | (~((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17))))))),
% 0.51/0.66 inference(quant_inst,[status(thm)],[])).
% 0.51/0.66 tff(267,plain,
% 0.51/0.66 ((~![Y: $i] : ((~r1(X!15, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (~r1(X!15, Y!17)) | (~((~p1(tptp_fun_X_3(Y!17))) | (~r1(Y!17, tptp_fun_X_3(Y!17))) | p1(tptp_fun_Y_4(Y!17)) | (~r1(tptp_fun_X_3(Y!17), tptp_fun_Y_4(Y!17)))))),
% 0.51/0.66 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.51/0.66 tff(268,plain,
% 0.51/0.66 ($false),
% 0.51/0.66 inference(unit_resolution,[status(thm)],[267, 69, 264, 212])).
% 0.51/0.66 % SZS output end Proof
%------------------------------------------------------------------------------