TSTP Solution File: SYN723+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 : Thu Sep 29 23:57:05 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : Proof 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN723+1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Sep 5 06:43:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(s_type, type, (
% 0.20/0.43 s: $i > $o)).
% 0.20/0.43 tff(tptp_fun_Y_13_type, type, (
% 0.20/0.43 tptp_fun_Y_13: $i > $i)).
% 0.20/0.43 tff(p_type, type, (
% 0.20/0.43 p: $i > $o)).
% 0.20/0.43 tff(q_type, type, (
% 0.20/0.43 q: $i > $o)).
% 0.20/0.43 tff(tptp_fun_Y_15_type, type, (
% 0.20/0.43 tptp_fun_Y_15: $i)).
% 0.20/0.43 tff(tptp_fun_X_14_type, type, (
% 0.20/0.43 tptp_fun_X_14: $i)).
% 0.20/0.43 tff(tptp_fun_X_12_type, type, (
% 0.20/0.43 tptp_fun_X_12: $i)).
% 0.20/0.43 tff(tptp_fun_Y_11_type, type, (
% 0.20/0.43 tptp_fun_Y_11: $i)).
% 0.20/0.43 tff(tptp_fun_X_10_type, type, (
% 0.20/0.43 tptp_fun_X_10: $i)).
% 0.20/0.43 tff(r_type, type, (
% 0.20/0.43 r: $i > $o)).
% 0.20/0.43 tff(tptp_fun_X_8_type, type, (
% 0.20/0.43 tptp_fun_X_8: $i)).
% 0.20/0.43 tff(tptp_fun_Y_9_type, type, (
% 0.20/0.43 tptp_fun_Y_9: $i > $i)).
% 0.20/0.43 tff(tptp_fun_Y_7_type, type, (
% 0.20/0.43 tptp_fun_Y_7: $i)).
% 0.20/0.43 tff(tptp_fun_X_6_type, type, (
% 0.20/0.43 tptp_fun_X_6: $i)).
% 0.20/0.43 tff(tptp_fun_X_4_type, type, (
% 0.20/0.43 tptp_fun_X_4: $i)).
% 0.20/0.43 tff(tptp_fun_Y_5_type, type, (
% 0.20/0.43 tptp_fun_Y_5: $i > $i)).
% 0.20/0.43 tff(tptp_fun_Y_3_type, type, (
% 0.20/0.43 tptp_fun_Y_3: $i)).
% 0.20/0.43 tff(tptp_fun_Y_0_type, type, (
% 0.20/0.43 tptp_fun_Y_0: $i > $i)).
% 0.20/0.43 tff(tptp_fun_X_2_type, type, (
% 0.20/0.43 tptp_fun_X_2: $i)).
% 0.20/0.43 tff(elem_16_type, type, (
% 0.20/0.43 elem_16: $i)).
% 0.20/0.43 tff(tptp_fun_X_1_type, type, (
% 0.20/0.43 tptp_fun_X_1: $i)).
% 0.20/0.43 tff(1,assumption,(~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))), introduced(assumption)).
% 0.20/0.44 tff(2,plain,
% 0.20/0.44 (((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))) | ((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(3,plain,
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% 0.20/0.44 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.20/0.44 tff(4,assumption,(~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))), introduced(assumption)).
% 0.20/0.44 tff(5,plain,
% 0.20/0.44 (((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))) | (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))),
% 0.20/0.44 inference(tautology,[status(thm)],[])).
% 0.20/0.44 tff(6,plain,
% 0.20/0.44 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[5, 4])).
% 0.20/0.44 tff(7,plain,
% 0.20/0.44 ((![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))) | ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(8,plain,
% 0.20/0.45 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[7, 4])).
% 0.20/0.45 tff(9,plain,
% 0.20/0.45 ((![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))) | (~![Y: $i] : (q(X!4) <=> q(Y)))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(10,plain,
% 0.20/0.45 (~![Y: $i] : (q(X!4) <=> q(Y))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[9, 4])).
% 0.20/0.45 tff(11,assumption,((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))), introduced(assumption)).
% 0.20/0.45 tff(12,plain,
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% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(13,plain,
% 0.20/0.45 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[12, 3, 11])).
% 0.20/0.45 tff(14,plain,
% 0.20/0.45 (((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(15,plain,
% 0.20/0.45 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.20/0.45 tff(16,assumption,(~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))), introduced(assumption)).
% 0.20/0.45 tff(17,assumption,(~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))), introduced(assumption)).
% 0.20/0.45 tff(18,plain,
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% 0.20/0.45 inference(tautology,[status(thm)],[])).
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% 0.20/0.45 inference(unit_resolution,[status(thm)],[18, 17])).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(unit_resolution,[status(thm)],[20, 17])).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(unit_resolution,[status(thm)],[22, 16])).
% 0.20/0.46 tff(24,assumption,((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))), introduced(assumption)).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(unit_resolution,[status(thm)],[25, 16])).
% 0.20/0.46 tff(27,assumption,(~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))), introduced(assumption)).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(unit_resolution,[status(thm)],[28, 27])).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 tff(33,assumption,(~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))), introduced(assumption)).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(tautology,[status(thm)],[])).
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% 0.20/0.46 inference(unit_resolution,[status(thm)],[48, 47, 38])).
% 0.20/0.46 tff(50,plain,
% 0.20/0.46 ((~![Y: $i] : (s(X!12) <=> s(Y))) | (s(X!12) <=> s(X!10))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(51,plain,
% 0.20/0.46 (s(X!12) <=> s(X!10)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.20/0.46 tff(52,assumption,((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))), introduced(assumption)).
% 0.20/0.46 tff(53,plain,
% 0.20/0.46 ((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(54,plain,
% 0.20/0.46 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[53, 47, 52])).
% 0.20/0.46 tff(55,assumption,(![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))), introduced(assumption)).
% 0.20/0.46 tff(56,plain,
% 0.20/0.46 ((~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) | ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(57,plain,
% 0.20/0.46 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.20/0.46 tff(58,assumption,(![X: $i] : (~s(X))), introduced(assumption)).
% 0.20/0.46 tff(59,assumption,(s(X!10)), introduced(assumption)).
% 0.20/0.46 tff(60,plain,
% 0.20/0.46 ((~![X: $i] : (~s(X))) | (~s(X!10))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(61,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[60, 59, 58])).
% 0.20/0.46 tff(62,plain,((~s(X!10)) | (~![X: $i] : (~s(X)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(63,plain,
% 0.20/0.46 (~s(X!10)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[62, 58])).
% 0.20/0.46 tff(64,plain,
% 0.20/0.46 ((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | s(X!10) | s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(65,plain,
% 0.20/0.46 ((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.20/0.46 tff(66,plain,
% 0.20/0.46 (s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[65, 57])).
% 0.20/0.46 tff(67,plain,
% 0.20/0.46 ((~![X: $i] : (~s(X))) | (~s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(68,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[67, 58, 66])).
% 0.20/0.46 tff(69,plain,((~![X: $i] : (~s(X))) | (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(70,plain,
% 0.20/0.46 (~![X: $i] : (~s(X))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[69, 54])).
% 0.20/0.46 tff(71,assumption,((~p(Y!11)) | ![X: $i] : (~s(X))), introduced(assumption)).
% 0.20/0.46 tff(72,assumption,(~![X: $i] : (~s(X))), introduced(assumption)).
% 0.20/0.46 tff(73,plain,
% 0.20/0.46 ((~((~p(Y!11)) | ![X: $i] : (~s(X)))) | (~p(Y!11)) | ![X: $i] : (~s(X))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(74,plain,
% 0.20/0.46 (~p(Y!11)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[73, 72, 71])).
% 0.20/0.46 tff(75,plain,
% 0.20/0.46 ((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | ![X: $i] : (~s(X)) | ![Y: $i] : p(Y)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(76,plain,
% 0.20/0.46 (![Y: $i] : p(Y)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[75, 72, 44])).
% 0.20/0.46 tff(77,plain,
% 0.20/0.46 ((~![Y: $i] : p(Y)) | p(Y!11)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(78,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[77, 76, 74])).
% 0.20/0.46 tff(79,plain,(![X: $i] : (~s(X)) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(80,plain,
% 0.20/0.46 (~((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[79, 70, 44])).
% 0.20/0.46 tff(81,plain,
% 0.20/0.46 (((~p(Y!11)) | ![X: $i] : (~s(X))) | p(Y!11)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(82,plain,
% 0.20/0.46 (p(Y!11)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[81, 80])).
% 0.20/0.46 tff(83,plain,
% 0.20/0.46 ((~(s(X!10) | (~p(Y!11)))) | s(X!10) | (~p(Y!11))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(84,plain,
% 0.20/0.46 (s(X!10)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[83, 82, 40])).
% 0.20/0.46 tff(85,plain,
% 0.20/0.46 ((~(s(X!12) <=> s(X!10))) | s(X!12) | (~s(X!10))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(86,plain,
% 0.20/0.46 ((~(s(X!12) <=> s(X!10))) | s(X!12)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.20/0.46 tff(87,plain,
% 0.20/0.46 (s(X!12)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[86, 51])).
% 0.20/0.46 tff(88,plain,
% 0.20/0.46 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[56, 54])).
% 0.20/0.46 tff(89,plain,
% 0.20/0.46 ((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | (~s(X!10)) | (~s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(90,plain,
% 0.20/0.46 ((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | (~s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[89, 84])).
% 0.20/0.46 tff(91,plain,
% 0.20/0.46 (~s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[90, 88])).
% 0.20/0.46 tff(92,plain,
% 0.20/0.46 ((~(s(X!12) <=> s(tptp_fun_Y_13(X!10)))) | (~s(X!12)) | s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(93,plain,
% 0.20/0.46 (~(s(X!12) <=> s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[92, 91, 87])).
% 0.20/0.46 tff(94,plain,
% 0.20/0.46 ((~![Y: $i] : (s(X!12) <=> s(Y))) | (s(X!12) <=> s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(95,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[94, 49, 93])).
% 0.20/0.46 tff(96,plain,((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | (~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(97,plain,
% 0.20/0.46 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[96, 46, 44, 38, 40])).
% 0.20/0.46 tff(98,assumption,(~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))), introduced(assumption)).
% 0.20/0.46 tff(99,assumption,(~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))), introduced(assumption)).
% 0.20/0.46 tff(100,plain,
% 0.20/0.46 (((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))) | (p(X!14) | ![Y: $i] : q(Y))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(101,plain,
% 0.20/0.46 (p(X!14) | ![Y: $i] : q(Y)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.20/0.46 tff(102,plain,
% 0.20/0.46 (((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))) | ((~q(Y!15)) | ![X: $i] : (~p(X)))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(103,plain,
% 0.20/0.46 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[102, 99])).
% 0.20/0.46 tff(104,assumption,((~q(Y!15)) | ![X: $i] : (~p(X))), introduced(assumption)).
% 0.20/0.46 tff(105,assumption,(p(X!14) | ![Y: $i] : q(Y)), introduced(assumption)).
% 0.20/0.46 tff(106,plain,
% 0.20/0.46 (((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))) | (![X: $i] : (~p(X)) | ![Y: $i] : q(Y))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(107,plain,
% 0.20/0.46 (![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[106, 98])).
% 0.20/0.46 tff(108,assumption,(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)), introduced(assumption)).
% 0.20/0.46 tff(109,assumption,(~![Y: $i] : q(Y)), introduced(assumption)).
% 0.20/0.46 tff(110,plain,
% 0.20/0.46 ((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | ![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(111,plain,
% 0.20/0.46 (![X: $i] : (~p(X))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[110, 109, 108])).
% 0.20/0.46 tff(112,plain,
% 0.20/0.46 ((~(p(X!14) | ![Y: $i] : q(Y))) | p(X!14) | ![Y: $i] : q(Y)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(113,plain,
% 0.20/0.46 (p(X!14)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[112, 109, 105])).
% 0.20/0.46 tff(114,plain,
% 0.20/0.46 ((~![X: $i] : (~p(X))) | (~p(X!14))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(115,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[114, 113, 111])).
% 0.20/0.46 tff(116,plain,(![Y: $i] : q(Y) | (~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(117,plain,
% 0.20/0.46 (![Y: $i] : q(Y)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[116, 107, 105])).
% 0.20/0.46 tff(118,assumption,(![Y: $i] : q(Y)), introduced(assumption)).
% 0.20/0.46 tff(119,assumption,(~q(Y!15)), introduced(assumption)).
% 0.20/0.46 tff(120,plain,
% 0.20/0.46 ((~![Y: $i] : q(Y)) | q(Y!15)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(121,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[120, 119, 118])).
% 0.20/0.46 tff(122,plain,(q(Y!15) | (~![Y: $i] : q(Y))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(123,plain,
% 0.20/0.46 (q(Y!15)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[122, 117])).
% 0.20/0.46 tff(124,plain,
% 0.20/0.46 ((~((~q(Y!15)) | ![X: $i] : (~p(X)))) | (~q(Y!15)) | ![X: $i] : (~p(X))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(125,plain,
% 0.20/0.46 (![X: $i] : (~p(X))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[124, 123, 104])).
% 0.20/0.46 tff(126,plain,
% 0.20/0.46 (((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))) | (p(X!14) | (~q(Y!15)))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(127,plain,
% 0.20/0.46 (p(X!14) | (~q(Y!15))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[126, 98])).
% 0.20/0.46 tff(128,plain,
% 0.20/0.46 ((~(p(X!14) | (~q(Y!15)))) | p(X!14) | (~q(Y!15))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(129,plain,
% 0.20/0.46 (p(X!14)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[128, 123, 127])).
% 0.20/0.46 tff(130,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[114, 129, 125])).
% 0.20/0.46 tff(131,plain,(((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))) | (~(p(X!14) | ![Y: $i] : q(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(132,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[131, 103, 101, 98])).
% 0.20/0.46 tff(133,plain,(((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))) | ((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(134,plain,
% 0.20/0.46 ((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[133, 97])).
% 0.20/0.46 tff(135,assumption,((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))), introduced(assumption)).
% 0.20/0.46 tff(136,plain,
% 0.20/0.46 ((~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(137,plain,
% 0.20/0.46 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[136, 135, 39])).
% 0.20/0.46 tff(138,plain,
% 0.20/0.46 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[56, 137])).
% 0.20/0.46 tff(139,plain,
% 0.20/0.46 ((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | (~s(tptp_fun_Y_13(X!10)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[89, 59])).
% 0.20/0.46 tff(140,plain,
% 0.20/0.46 (~s(tptp_fun_Y_13(X!10))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[139, 138])).
% 0.20/0.46 tff(141,assumption,(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))), introduced(assumption)).
% 0.20/0.46 tff(142,plain,
% 0.20/0.46 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))) | ![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(143,plain,
% 0.20/0.47 (![Y: $i] : (s(X!12) <=> s(Y))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[142, 135, 141])).
% 0.20/0.47 tff(144,plain,
% 0.20/0.47 (s(X!12) <=> s(X!10)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[50, 143])).
% 0.20/0.47 tff(145,plain,
% 0.20/0.47 ((~(s(X!12) <=> s(X!10))) | s(X!12)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[85, 59])).
% 0.20/0.47 tff(146,plain,
% 0.20/0.47 (s(X!12)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[145, 144])).
% 0.20/0.47 tff(147,plain,
% 0.20/0.47 (~(s(X!12) <=> s(tptp_fun_Y_13(X!10)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[92, 146, 140])).
% 0.20/0.47 tff(148,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[94, 143, 147])).
% 0.20/0.47 tff(149,plain,((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | (~s(X!10)) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(150,plain,
% 0.20/0.47 (~s(X!10)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[149, 134, 39, 43])).
% 0.20/0.47 tff(151,plain,
% 0.20/0.47 (~p(Y!11)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[83, 150, 40])).
% 0.20/0.47 tff(152,plain,
% 0.20/0.47 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[136, 134, 39])).
% 0.20/0.47 tff(153,plain,
% 0.20/0.47 (~![X: $i] : (~s(X))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[69, 152])).
% 0.20/0.47 tff(154,plain,
% 0.20/0.47 (~((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[79, 153, 44])).
% 0.20/0.47 tff(155,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[81, 154, 151])).
% 0.20/0.47 tff(156,plain,(((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(157,plain,
% 0.20/0.47 ((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[156, 37, 35, 39, 38])).
% 0.20/0.47 tff(158,plain,
% 0.20/0.47 ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(159,plain,
% 0.20/0.47 (~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[158, 157, 30])).
% 0.20/0.47 tff(160,plain,
% 0.20/0.47 (((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))) | ((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(161,plain,
% 0.20/0.47 ((~p(Y!11)) | ![X: $i] : (~s(X))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[160, 159])).
% 0.20/0.47 tff(162,plain,
% 0.20/0.47 (![X: $i] : (~s(X))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[79, 161, 37])).
% 0.20/0.47 tff(163,plain,
% 0.20/0.47 (~s(X!10)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[62, 162])).
% 0.20/0.47 tff(164,plain,
% 0.20/0.47 (~p(Y!11)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[83, 163, 35])).
% 0.20/0.47 tff(165,plain,
% 0.20/0.47 (((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))) | (s(X!10) | ![Y: $i] : p(Y))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(166,plain,
% 0.20/0.47 (s(X!10) | ![Y: $i] : p(Y)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[165, 159])).
% 0.20/0.47 tff(167,plain,
% 0.20/0.47 ((~(s(X!10) | ![Y: $i] : p(Y))) | s(X!10) | ![Y: $i] : p(Y)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(168,plain,
% 0.20/0.47 (![Y: $i] : p(Y)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[167, 163, 166])).
% 0.20/0.47 tff(169,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[77, 168, 164])).
% 0.20/0.47 tff(170,plain,(((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(171,plain,
% 0.20/0.47 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[170, 32, 30, 29])).
% 0.20/0.47 tff(172,plain,
% 0.20/0.47 ((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(173,plain,
% 0.20/0.47 (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[172, 171, 24])).
% 0.20/0.47 tff(174,plain,
% 0.20/0.47 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[42, 173])).
% 0.20/0.47 tff(175,assumption,(~![Y: $i] : (s(X!12) <=> s(Y))), introduced(assumption)).
% 0.20/0.47 tff(176,plain,
% 0.20/0.47 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[142, 175, 141])).
% 0.20/0.47 tff(177,plain,
% 0.20/0.47 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[48, 175, 38])).
% 0.20/0.47 tff(178,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[133, 177, 176])).
% 0.20/0.47 tff(179,plain,(![Y: $i] : (s(X!12) <=> s(Y)) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(180,plain,
% 0.20/0.47 (![Y: $i] : (s(X!12) <=> s(Y))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[179, 29, 174])).
% 0.20/0.47 tff(181,assumption,(~(s(X!12) <=> s(tptp_fun_Y_13(X!10)))), introduced(assumption)).
% 0.20/0.47 tff(182,assumption,(![Y: $i] : (s(X!12) <=> s(Y))), introduced(assumption)).
% 0.20/0.47 tff(183,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[94, 182, 181])).
% 0.20/0.47 tff(184,plain,((s(X!12) <=> s(tptp_fun_Y_13(X!10))) | (~![Y: $i] : (s(X!12) <=> s(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(185,plain,
% 0.20/0.47 (s(X!12) <=> s(tptp_fun_Y_13(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[184, 180])).
% 0.20/0.47 tff(186,plain,
% 0.20/0.47 ((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[45, 173])).
% 0.20/0.47 tff(187,assumption,(~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))), introduced(assumption)).
% 0.20/0.47 tff(188,plain,
% 0.20/0.47 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[136, 187, 39])).
% 0.20/0.47 tff(189,plain,
% 0.20/0.47 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[53, 187, 52])).
% 0.20/0.47 tff(190,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[133, 189, 188])).
% 0.20/0.47 tff(191,plain,(![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))) | (~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(192,plain,
% 0.20/0.47 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[191, 186, 32])).
% 0.20/0.47 tff(193,assumption,(~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))), introduced(assumption)).
% 0.20/0.47 tff(194,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[56, 55, 193])).
% 0.20/0.47 tff(195,plain,(((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))) | (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(196,plain,
% 0.20/0.47 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[195, 192])).
% 0.20/0.47 tff(197,plain,
% 0.20/0.47 (s(X!12) <=> s(tptp_fun_Y_13(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[184, 182])).
% 0.20/0.47 tff(198,assumption,((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))), introduced(assumption)).
% 0.20/0.47 tff(199,assumption,(~s(X!10)), introduced(assumption)).
% 0.20/0.47 tff(200,plain,
% 0.20/0.47 ((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | s(tptp_fun_Y_13(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[64, 199])).
% 0.20/0.47 tff(201,plain,
% 0.20/0.47 (s(tptp_fun_Y_13(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[200, 198])).
% 0.20/0.47 tff(202,plain,
% 0.20/0.47 (s(X!12) <=> s(X!10)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[50, 182])).
% 0.20/0.47 tff(203,plain,
% 0.20/0.47 ((~(s(X!12) <=> s(X!10))) | (~s(X!12)) | s(X!10)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(204,plain,
% 0.20/0.47 ((~(s(X!12) <=> s(X!10))) | (~s(X!12))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[203, 199])).
% 0.20/0.47 tff(205,plain,
% 0.20/0.47 (~s(X!12)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[204, 202])).
% 0.20/0.47 tff(206,plain,
% 0.20/0.47 ((~(s(X!12) <=> s(tptp_fun_Y_13(X!10)))) | s(X!12) | (~s(tptp_fun_Y_13(X!10)))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(207,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[206, 205, 201, 197])).
% 0.20/0.47 tff(208,plain,((~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))) | s(X!10) | (~![Y: $i] : (s(X!12) <=> s(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(209,plain,
% 0.20/0.47 (s(X!10)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[208, 180, 196])).
% 0.20/0.47 tff(210,plain,
% 0.20/0.47 (~s(tptp_fun_Y_13(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[89, 209, 196])).
% 0.20/0.47 tff(211,plain,
% 0.20/0.47 (~s(X!12)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[92, 210, 185])).
% 0.20/0.47 tff(212,plain,
% 0.20/0.47 (~(s(X!12) <=> s(X!10))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[85, 209, 211])).
% 0.20/0.47 tff(213,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[50, 180, 212])).
% 0.20/0.47 tff(214,plain,(((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(215,plain,
% 0.20/0.47 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[12, 237, 11])).
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% 0.20/0.48 inference(unit_resolution,[status(thm)],[2, 238])).
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% 0.20/0.48 tff(242,assumption,(~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | 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| ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))), introduced(assumption)).
% 0.20/0.49 tff(243,plain,
% 0.20/0.49 (((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : 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p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.52 tff(282,plain,
% 0.20/0.52 ((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[281, 241, 240])).
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| ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | 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% 0.20/0.53 tff(284,plain,
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: q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))) | ((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | 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% 0.20/0.55 inference(tautology,[status(thm)],[])).
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% 0.20/0.56 inference(tautology,[status(thm)],[])).
% 0.20/0.56 tff(297,plain,
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% 0.20/0.56 inference(unit_resolution,[status(thm)],[296, 295, 289, 282])).
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s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.44/0.57 tff(299,plain,
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: q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))),
% 0.44/0.57 inference(unit_resolution,[status(thm)],[298, 241, 240])).
% 0.44/0.58 tff(300,plain,
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% 0.44/0.58 inference(rewrite,[status(thm)],[])).
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% 0.46/0.59 inference(rewrite,[status(thm)],[])).
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s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : 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% 0.46/0.60 inference(monotonicity,[status(thm)],[301])).
% 0.46/0.60 tff(303,plain,
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![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))))) <=> (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | (~((~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.46/0.61 inference(transitivity,[status(thm)],[302, 300])).
% 0.46/0.61 tff(304,plain,
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% 0.46/0.61 inference(rewrite,[status(thm)],[])).
% 0.46/0.61 tff(305,plain,
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% 0.46/0.62 inference(rewrite,[status(thm)],[])).
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(~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) <=> (~((~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))))),
% 0.50/0.63 inference(rewrite,[status(thm)],[])).
% 0.50/0.63 tff(307,plain,
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p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) <=> ((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))),
% 0.50/0.63 inference(rewrite,[status(thm)],[])).
% 0.50/0.63 tff(308,plain,
% 0.50/0.63 ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) <=> ((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))),
% 0.50/0.64 inference(rewrite,[status(thm)],[])).
% 0.50/0.64 tff(309,plain,
% 0.50/0.64 (((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) <=> (((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))) & ((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))),
% 0.51/0.64 inference(monotonicity,[status(thm)],[308, 307])).
% 0.51/0.64 tff(310,plain,
% 0.51/0.64 (((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) <=> (~((~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))))),
% 0.51/0.65 inference(transitivity,[status(thm)],[309, 306])).
% 0.51/0.65 tff(311,plain,
% 0.51/0.65 ((![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) <=> (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | (~((~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.51/0.66 inference(monotonicity,[status(thm)],[310])).
% 0.51/0.66 tff(312,plain,
% 0.51/0.66 ((![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) <=> (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | (~((~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.51/0.67 inference(transitivity,[status(thm)],[311, 305])).
% 0.51/0.67 tff(313,plain,
% 0.51/0.67 (((![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))) & (![X: $i] : (~(p(X) <=> p(tptp_fun_Y_0(X)))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))) <=> ((![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) & (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(314,plain,
% 0.51/0.68 ((?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(315,plain,
% 0.51/0.68 ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y)))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(316,plain,
% 0.51/0.68 (((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[315, 314])).
% 0.51/0.68 tff(317,plain,
% 0.51/0.68 ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> (?[X: $i] : q(X) <=> ![Y: $i] : r(Y))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(318,plain,
% 0.51/0.68 (((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[317, 316])).
% 0.51/0.68 tff(319,plain,
% 0.51/0.68 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> (~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(320,plain,
% 0.51/0.68 (((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))) <=> ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[319, 318])).
% 0.51/0.68 tff(321,plain,
% 0.51/0.68 (((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))) <=> ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(322,plain,
% 0.51/0.68 ((~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))) <=> ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(323,plain,
% 0.51/0.68 ((?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))) <=> (?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.51/0.68 inference(rewrite,[status(thm)],[])).
% 0.51/0.68 tff(324,plain,
% 0.51/0.68 ((~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))) <=> (~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[323])).
% 0.51/0.68 tff(325,plain,
% 0.51/0.68 ((~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))) <=> ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))),
% 0.51/0.69 inference(transitivity,[status(thm)],[324, 322])).
% 0.51/0.69 tff(326,axiom,(~(?[X: $i] : ![Y: $i] : (p(X) <=> p(Y)) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm138')).
% 0.51/0.69 tff(327,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.51/0.69 tff(328,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[327, 320])).
% 0.51/0.69 tff(329,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[328, 321])).
% 0.51/0.69 tff(330,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[329, 320])).
% 0.51/0.69 tff(331,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[330, 320])).
% 0.51/0.69 tff(332,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[331, 320])).
% 0.51/0.69 tff(333,plain,
% 0.51/0.69 ((~?[X: $i] : ![Y: $i] : (p(X) <=> p(Y))) <=> ((?[X: $i] : q(X) <=> ![Y: $i] : r(Y)) <=> ((?[X: $i] : ![Y: $i] : (q(X) <=> q(Y)) <=> (?[X: $i] : r(X) <=> ![Y: $i] : s(Y))) <=> (?[X: $i] : ![Y: $i] : (r(X) <=> r(Y)) <=> ((?[X: $i] : s(X) <=> ![Y: $i] : p(Y)) <=> (?[X: $i] : ![Y: $i] : (s(X) <=> s(Y)) <=> (?[X: $i] : p(X) <=> ![Y: $i] : q(Y)))))))),
% 0.51/0.69 inference(modus_ponens,[status(thm)],[332, 320])).
% 0.51/0.69 tff(334,plain,(
% 0.51/0.69 (![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))))) & (![X: $i] : (~(p(X) <=> p(tptp_fun_Y_0(X)))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (![X: $i] : (~(q(X) <=> q(tptp_fun_Y_5(X)))) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))))) & (![X: $i] : (~(r(X) <=> r(tptp_fun_Y_9(X)))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (![X: $i] : (~(s(X) <=> s(tptp_fun_Y_13(X)))) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))))))))))))))),
% 0.51/0.69 inference(skolemize,[status(sab)],[333])).
% 0.51/0.69 tff(335,plain,
% 0.51/0.69 ((![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) & (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 0.51/0.70 inference(modus_ponens,[status(thm)],[334, 313])).
% 0.51/0.70 tff(336,plain,
% 0.51/0.70 (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | ((((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 0.58/0.71 inference(and_elim,[status(thm)],[335])).
% 0.58/0.71 tff(337,plain,
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% 0.58/0.71 inference(modus_ponens,[status(thm)],[336, 312])).
% 0.58/0.71 tff(338,plain,
% 0.58/0.71 (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X))) | (~((~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : 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% 0.58/0.71 inference(modus_ponens,[status(thm)],[337, 304])).
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% 0.58/0.72 inference(rewrite,[status(thm)],[])).
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% 0.58/0.73 inference(rewrite,[status(thm)],[])).
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(~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : 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| ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[344])).
% 0.58/0.74 tff(346,plain,
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(~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.58/0.75 inference(transitivity,[status(thm)],[345, 343])).
% 0.58/0.75 tff(347,plain,
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s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> 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(~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : 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$i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | 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| (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : 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% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(348,plain,
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% 0.63/0.76 inference(rewrite,[status(thm)],[])).
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(~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : 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(~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))))),
% 0.63/0.77 inference(rewrite,[status(thm)],[])).
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p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) <=> ((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))),
% 0.63/0.77 inference(rewrite,[status(thm)],[])).
% 0.63/0.77 tff(351,plain,
% 0.63/0.77 ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) <=> ((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))),
% 0.63/0.78 inference(rewrite,[status(thm)],[])).
% 0.63/0.78 tff(352,plain,
% 0.63/0.78 (((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) <=> (((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))) & ((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))),
% 0.63/0.78 inference(monotonicity,[status(thm)],[351, 350])).
% 0.63/0.78 tff(353,plain,
% 0.63/0.78 (((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) <=> (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))))),
% 0.63/0.79 inference(transitivity,[status(thm)],[352, 349])).
% 0.63/0.79 tff(354,plain,
% 0.63/0.79 ((![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) <=> (![Y: $i] : (p(X!1) <=> p(Y)) | (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.63/0.79 inference(monotonicity,[status(thm)],[353])).
% 0.63/0.79 tff(355,plain,
% 0.63/0.79 ((![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) <=> (![Y: $i] : (p(X!1) <=> p(Y)) | (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))) | (~(q(X!2) | (~r(Y!3)))))) | (~((~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))))),
% 0.63/0.80 inference(transitivity,[status(thm)],[354, 348])).
% 0.63/0.80 tff(356,plain,
% 0.63/0.80 (![Y: $i] : (p(X!1) <=> p(Y)) | ((((q(X!2) | ![Y: $i] : r(Y)) & (![X: $i] : (~q(X)) | (~r(Y!3)))) | ((((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) & (((![X: $i] : (~q(X)) | ![Y: $i] : r(Y)) & (q(X!2) | (~r(Y!3)))) | ((((((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) & (![Y: $i] : (q(X!4) <=> q(Y)) | ((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))))) | ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![Y: $i] : (r(X!8) <=> r(Y)) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) & (((![Y: $i] : (q(X!4) <=> q(Y)) | ((![X: $i] : (~r(X)) | ![Y: $i] : s(Y)) & (r(X!6) | (~s(Y!7))))) & (((r(X!6) | ![Y: $i] : s(Y)) & (![X: $i] : (~r(X)) | (~s(Y!7)))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((![Y: $i] : (r(X!8) <=> r(Y)) | ((((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))) & (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | ((((![X: $i] : (~s(X)) | ![Y: $i] : p(Y)) & (s(X!10) | (~p(Y!11)))) | ((((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))) & (![Y: $i] : (s(X!12) <=> s(Y)) | ((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15))))))) & (((s(X!10) | ![Y: $i] : p(Y)) & (![X: $i] : (~s(X)) | (~p(Y!11)))) | ((![Y: $i] : (s(X!12) <=> s(Y)) | ((![X: $i] : (~p(X)) | ![Y: $i] : q(Y)) & (p(X!14) | (~q(Y!15))))) & (((p(X!14) | ![Y: $i] : q(Y)) & (![X: $i] : (~p(X)) | (~q(Y!15)))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 0.63/0.80 inference(and_elim,[status(thm)],[335])).
% 0.63/0.80 tff(357,plain,
% 0.63/0.80 (![Y: $i] : (p(X!1) <=> p(Y)) | (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~(![X: $i] : (~q(X)) | (~r(Y!3)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | (~(r(X!6) | (~s(Y!7)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~(![X: $i] : (~r(X)) | (~s(Y!7)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~(![X: $i] : (~s(X)) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))))))))) | (~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~(![X: $i] : (~p(X)) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))) | (~(s(X!10) | (~p(Y!11)))))) | (~((~((~((~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~(p(X!14) | (~q(Y!15)))))) | ![X: $i] : ((~s(X)) <=> 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% 0.63/0.81 inference(modus_ponens,[status(thm)],[356, 355])).
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% 0.63/0.81 inference(modus_ponens,[status(thm)],[357, 347])).
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% 0.63/0.81 (![Y: $i] : (p(X!1) <=> p(Y)) | (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | 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s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))) | (~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))))),
% 0.63/0.81 inference(modus_ponens,[status(thm)],[358, 346])).
% 0.63/0.81 tff(360,plain,
% 0.63/0.81 (![Y: $i] : (p(X!1) <=> p(Y))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[359, 282])).
% 0.63/0.81 tff(361,plain,
% 0.63/0.81 ((~![Y: $i] : (p(X!1) <=> p(Y))) | (p(X!1) <=> p(elem!16))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(362,plain,
% 0.63/0.81 (p(X!1) <=> p(elem!16)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[361, 360])).
% 0.63/0.81 tff(363,assumption,(![Y: $i] : (p(X!1) <=> p(Y))), introduced(assumption)).
% 0.63/0.81 tff(364,assumption,(~(p(X!1) <=> p(tptp_fun_Y_0(Y!11)))), introduced(assumption)).
% 0.63/0.81 tff(365,plain,
% 0.63/0.81 ((~![Y: $i] : (p(X!1) <=> p(Y))) | (p(X!1) <=> p(tptp_fun_Y_0(Y!11)))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(366,plain,
% 0.63/0.81 ($false),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[365, 363, 364])).
% 0.63/0.81 tff(367,plain,((p(X!1) <=> p(tptp_fun_Y_0(Y!11))) | (~![Y: $i] : (p(X!1) <=> p(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.81 tff(368,plain,
% 0.63/0.81 (p(X!1) <=> p(tptp_fun_Y_0(Y!11))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[367, 363])).
% 0.63/0.81 tff(369,assumption,(~(p(X!1) <=> p(X!14))), introduced(assumption)).
% 0.63/0.81 tff(370,plain,
% 0.63/0.81 ((~![Y: $i] : (p(X!1) <=> p(Y))) | (p(X!1) <=> p(X!14))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(371,plain,
% 0.63/0.81 ($false),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[370, 363, 369])).
% 0.63/0.81 tff(372,plain,((p(X!1) <=> p(X!14)) | (~![Y: $i] : (p(X!1) <=> p(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.81 tff(373,plain,
% 0.63/0.81 (p(X!1) <=> p(X!14)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[372, 363])).
% 0.63/0.81 tff(374,assumption,(p(X!14)), introduced(assumption)).
% 0.63/0.81 tff(375,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(X!14))) | p(X!1) | (~p(X!14))),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(376,plain,
% 0.63/0.81 (p(X!1)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[375, 374, 373])).
% 0.63/0.81 tff(377,assumption,(![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))), introduced(assumption)).
% 0.63/0.81 tff(378,plain,
% 0.63/0.81 (p(X!1) <=> p(X!14)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[370, 363])).
% 0.63/0.81 tff(379,plain,
% 0.63/0.81 ((~![Y: $i] : (p(X!1) <=> p(Y))) | (p(X!1) <=> p(Y!11))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(380,plain,
% 0.63/0.81 (p(X!1) <=> p(Y!11)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[379, 363])).
% 0.63/0.81 tff(381,assumption,(~p(Y!11)), introduced(assumption)).
% 0.63/0.81 tff(382,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(Y!11))) | (~p(X!1)) | p(Y!11)),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(383,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(Y!11))) | (~p(X!1))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[382, 381])).
% 0.63/0.81 tff(384,plain,
% 0.63/0.81 (~p(X!1)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[383, 380])).
% 0.63/0.81 tff(385,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(X!14))) | p(X!1)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[375, 374])).
% 0.63/0.81 tff(386,plain,
% 0.63/0.81 ($false),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[385, 384, 378])).
% 0.63/0.81 tff(387,plain,((~![Y: $i] : (p(X!1) <=> p(Y))) | (~p(X!14)) | p(Y!11)), inference(lemma,lemma(discharge,[]))).
% 0.63/0.81 tff(388,plain,
% 0.63/0.81 (p(Y!11)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[387, 374, 363])).
% 0.63/0.81 tff(389,assumption,(p(tptp_fun_Y_0(Y!11))), introduced(assumption)).
% 0.63/0.81 tff(390,assumption,(p(Y!11)), introduced(assumption)).
% 0.63/0.81 tff(391,plain,
% 0.63/0.81 ((~((~p(Y!11)) <=> p(tptp_fun_Y_0(Y!11)))) | (~p(Y!11)) | (~p(tptp_fun_Y_0(Y!11)))),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(392,plain,
% 0.63/0.81 (~((~p(Y!11)) <=> p(tptp_fun_Y_0(Y!11)))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[391, 390, 389])).
% 0.63/0.81 tff(393,plain,
% 0.63/0.81 ((~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))) | ((~p(Y!11)) <=> p(tptp_fun_Y_0(Y!11)))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(394,plain,
% 0.63/0.81 ($false),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[393, 377, 392])).
% 0.63/0.81 tff(395,plain,((~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))) | (~p(Y!11)) | (~p(tptp_fun_Y_0(Y!11)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.81 tff(396,plain,
% 0.63/0.81 (~p(tptp_fun_Y_0(Y!11))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[395, 388, 377])).
% 0.63/0.81 tff(397,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(tptp_fun_Y_0(Y!11)))) | (~p(X!1)) | p(tptp_fun_Y_0(Y!11))),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(398,plain,
% 0.63/0.81 ($false),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[397, 396, 376, 368])).
% 0.63/0.81 tff(399,plain,((~p(X!14)) | (~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))) | (~![Y: $i] : (p(X!1) <=> p(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.81 tff(400,plain,
% 0.63/0.81 (~p(X!14)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[399, 340, 360])).
% 0.63/0.81 tff(401,plain,
% 0.63/0.81 (p(X!1) <=> p(X!14)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[372, 360])).
% 0.63/0.81 tff(402,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(X!14))) | (~p(X!1)) | p(X!14)),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(403,plain,
% 0.63/0.81 (~p(X!1)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[402, 401, 400])).
% 0.63/0.81 tff(404,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(elem!16))) | p(X!1) | (~p(elem!16))),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(405,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(elem!16))) | (~p(elem!16))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[404, 403])).
% 0.63/0.81 tff(406,plain,
% 0.63/0.81 (~p(elem!16)),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[405, 362])).
% 0.63/0.81 tff(407,plain,
% 0.63/0.81 ((~![Y: $i] : (p(X!1) <=> p(Y))) | (p(X!1) <=> p(tptp_fun_Y_0(elem!16)))),
% 0.63/0.81 inference(quant_inst,[status(thm)],[])).
% 0.63/0.81 tff(408,plain,
% 0.63/0.81 (p(X!1) <=> p(tptp_fun_Y_0(elem!16))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[407, 360])).
% 0.63/0.81 tff(409,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(tptp_fun_Y_0(elem!16)))) | p(X!1) | (~p(tptp_fun_Y_0(elem!16)))),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(410,plain,
% 0.63/0.81 ((~(p(X!1) <=> p(tptp_fun_Y_0(elem!16)))) | (~p(tptp_fun_Y_0(elem!16)))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[409, 403])).
% 0.63/0.81 tff(411,plain,
% 0.63/0.81 (~p(tptp_fun_Y_0(elem!16))),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[410, 408])).
% 0.63/0.81 tff(412,plain,
% 0.63/0.81 ((~((~p(elem!16)) <=> p(tptp_fun_Y_0(elem!16)))) | p(elem!16) | p(tptp_fun_Y_0(elem!16))),
% 0.63/0.81 inference(tautology,[status(thm)],[])).
% 0.63/0.81 tff(413,plain,
% 0.63/0.81 ($false),
% 0.63/0.81 inference(unit_resolution,[status(thm)],[412, 411, 406, 342])).
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s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))), inference(lemma,lemma(discharge,[]))).
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% 0.63/0.82 inference(unit_resolution,[status(thm)],[414, 239])).
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% 0.63/0.82 inference(tautology,[status(thm)],[])).
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% 0.63/0.82 inference(unit_resolution,[status(thm)],[416, 415])).
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% 0.63/0.82 inference(tautology,[status(thm)],[])).
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% 0.63/0.82 inference(unit_resolution,[status(thm)],[418, 417, 237])).
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% 0.63/0.82 inference(tautology,[status(thm)],[])).
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% 0.63/0.82 inference(unit_resolution,[status(thm)],[421, 419])).
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% 0.63/0.82 inference(tautology,[status(thm)],[])).
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% 0.63/0.82 inference(unit_resolution,[status(thm)],[423, 422, 420])).
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% 0.63/0.82 inference(tautology,[status(thm)],[])).
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% 0.63/0.82 inference(unit_resolution,[status(thm)],[425, 424])).
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% 0.63/0.82 inference(tautology,[status(thm)],[])).
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% 0.63/0.83 inference(unit_resolution,[status(thm)],[427, 415])).
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% 0.63/0.83 inference(unit_resolution,[status(thm)],[429, 428, 11])).
% 0.63/0.83 tff(431,plain,
% 0.63/0.83 (((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(432,plain,
% 0.63/0.83 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[431, 430])).
% 0.63/0.83 tff(433,assumption,((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))), introduced(assumption)).
% 0.63/0.83 tff(434,plain,
% 0.63/0.83 (((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))) | ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(435,plain,
% 0.63/0.83 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[434, 419])).
% 0.63/0.83 tff(436,plain,
% 0.63/0.83 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(437,plain,
% 0.63/0.83 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[436, 435, 433])).
% 0.63/0.83 tff(438,assumption,(![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))), introduced(assumption)).
% 0.63/0.83 tff(439,plain,
% 0.63/0.83 ((~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) | ((~q(X!2)) <=> q(tptp_fun_Y_5(X!2)))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(440,plain,
% 0.63/0.83 ((~q(X!2)) <=> q(tptp_fun_Y_5(X!2))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[439, 438])).
% 0.63/0.83 tff(441,assumption,(~q(X!2)), introduced(assumption)).
% 0.63/0.83 tff(442,plain,
% 0.63/0.83 ((~![Y: $i] : q(Y)) | q(X!2)),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(443,plain,
% 0.63/0.83 ($false),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[442, 441, 118])).
% 0.63/0.83 tff(444,plain,((~![Y: $i] : q(Y)) | q(X!2)), inference(lemma,lemma(discharge,[]))).
% 0.63/0.83 tff(445,plain,
% 0.63/0.83 (q(X!2)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[444, 118])).
% 0.63/0.83 tff(446,plain,
% 0.63/0.83 ((~((~q(X!2)) <=> q(tptp_fun_Y_5(X!2)))) | (~q(X!2)) | (~q(tptp_fun_Y_5(X!2)))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(447,plain,
% 0.63/0.83 ((~((~q(X!2)) <=> q(tptp_fun_Y_5(X!2)))) | (~q(tptp_fun_Y_5(X!2)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[446, 445])).
% 0.63/0.83 tff(448,plain,
% 0.63/0.83 (~q(tptp_fun_Y_5(X!2))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[447, 440])).
% 0.63/0.83 tff(449,plain,
% 0.63/0.83 ((~![Y: $i] : q(Y)) | q(tptp_fun_Y_5(X!2))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(450,plain,
% 0.63/0.83 ($false),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[449, 118, 448])).
% 0.63/0.83 tff(451,plain,((~![Y: $i] : q(Y)) | (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.83 tff(452,plain,
% 0.63/0.83 (~![Y: $i] : q(Y)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[451, 437])).
% 0.63/0.83 tff(453,assumption,(~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))), introduced(assumption)).
% 0.63/0.83 tff(454,plain,
% 0.63/0.83 ((~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) | ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(455,plain,
% 0.63/0.83 ($false),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[454, 438, 453])).
% 0.63/0.83 tff(456,plain,(((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))) | (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.83 tff(457,plain,
% 0.63/0.83 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[456, 437])).
% 0.63/0.83 tff(458,assumption,(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)), introduced(assumption)).
% 0.63/0.83 tff(459,assumption,(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))), introduced(assumption)).
% 0.63/0.83 tff(460,plain,
% 0.63/0.83 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | ![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(461,plain,
% 0.63/0.83 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[460, 459, 233])).
% 0.63/0.83 tff(462,assumption,(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))), introduced(assumption)).
% 0.63/0.83 tff(463,plain,
% 0.63/0.83 ((~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))) | ((~r(tptp_fun_Y_9(Y!3))) <=> r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3))))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(464,plain,
% 0.63/0.83 ((~r(tptp_fun_Y_9(Y!3))) <=> r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[463, 462])).
% 0.63/0.83 tff(465,assumption,(![X: $i] : (~r(X))), introduced(assumption)).
% 0.63/0.83 tff(466,assumption,(r(tptp_fun_Y_9(Y!3))), introduced(assumption)).
% 0.63/0.83 tff(467,plain,
% 0.63/0.83 ((~![X: $i] : (~r(X))) | (~r(tptp_fun_Y_9(Y!3)))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(468,plain,
% 0.63/0.83 ($false),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[467, 465, 466])).
% 0.63/0.83 tff(469,plain,((~r(tptp_fun_Y_9(Y!3))) | (~![X: $i] : (~r(X)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.83 tff(470,plain,
% 0.63/0.83 (~r(tptp_fun_Y_9(Y!3))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[469, 465])).
% 0.63/0.83 tff(471,plain,
% 0.63/0.83 ((~((~r(tptp_fun_Y_9(Y!3))) <=> r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3))))) | r(tptp_fun_Y_9(Y!3)) | r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3)))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(472,plain,
% 0.63/0.83 ((~((~r(tptp_fun_Y_9(Y!3))) <=> r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3))))) | r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[471, 470])).
% 0.63/0.83 tff(473,plain,
% 0.63/0.83 (r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[472, 464])).
% 0.63/0.83 tff(474,plain,
% 0.63/0.83 ((~![X: $i] : (~r(X))) | (~r(tptp_fun_Y_9(tptp_fun_Y_9(Y!3))))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(475,plain,
% 0.63/0.83 ($false),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[474, 465, 473])).
% 0.63/0.83 tff(476,plain,((~![X: $i] : (~r(X))) | (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.83 tff(477,plain,
% 0.63/0.83 (~![X: $i] : (~r(X))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[476, 461])).
% 0.63/0.83 tff(478,plain,
% 0.63/0.83 ((~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | ![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(479,plain,
% 0.63/0.83 (![Y: $i] : s(Y)),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[478, 477, 458])).
% 0.63/0.83 tff(480,assumption,(~s(tptp_fun_Y_13(X!10))), introduced(assumption)).
% 0.63/0.83 tff(481,assumption,(![Y: $i] : s(Y)), introduced(assumption)).
% 0.63/0.83 tff(482,plain,
% 0.63/0.83 ((~![Y: $i] : s(Y)) | s(tptp_fun_Y_13(X!10))),
% 0.63/0.83 inference(quant_inst,[status(thm)],[])).
% 0.63/0.83 tff(483,plain,
% 0.63/0.83 ($false),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[482, 481, 480])).
% 0.63/0.83 tff(484,plain,(s(tptp_fun_Y_13(X!10)) | (~![Y: $i] : s(Y))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.83 tff(485,plain,
% 0.63/0.83 (s(tptp_fun_Y_13(X!10))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[484, 479])).
% 0.63/0.83 tff(486,assumption,((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))), introduced(assumption)).
% 0.63/0.83 tff(487,assumption,(~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))), introduced(assumption)).
% 0.63/0.83 tff(488,plain,
% 0.63/0.83 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[421, 487])).
% 0.63/0.83 tff(489,assumption,(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))), introduced(assumption)).
% 0.63/0.83 tff(490,assumption,(~r(X!6)), introduced(assumption)).
% 0.63/0.83 tff(491,assumption,(~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))), introduced(assumption)).
% 0.63/0.83 tff(492,plain,
% 0.63/0.83 (((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))) | ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 0.63/0.83 inference(tautology,[status(thm)],[])).
% 0.63/0.83 tff(493,plain,
% 0.63/0.83 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[492, 491])).
% 0.63/0.83 tff(494,plain,
% 0.63/0.83 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[5, 491])).
% 0.63/0.83 tff(495,assumption,((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))), introduced(assumption)).
% 0.63/0.83 tff(496,assumption,(~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))), introduced(assumption)).
% 0.63/0.83 tff(497,plain,
% 0.63/0.83 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.83 inference(unit_resolution,[status(thm)],[14, 496])).
% 0.63/0.83 tff(498,assumption,((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))), introduced(assumption)).
% 0.63/0.83 tff(499,plain,
% 0.63/0.83 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | ![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(500,plain,
% 0.63/0.84 (![Y: $i] : (r(X!8) <=> r(Y))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[499, 498, 489])).
% 0.63/0.84 tff(501,assumption,(~(r(X!8) <=> r(tptp_fun_Y_9(X!6)))), introduced(assumption)).
% 0.63/0.84 tff(502,assumption,(![Y: $i] : (r(X!8) <=> r(Y))), introduced(assumption)).
% 0.63/0.84 tff(503,plain,
% 0.63/0.84 ((~![Y: $i] : (r(X!8) <=> r(Y))) | (r(X!8) <=> r(tptp_fun_Y_9(X!6)))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(504,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[503, 502, 501])).
% 0.63/0.84 tff(505,plain,((r(X!8) <=> r(tptp_fun_Y_9(X!6))) | (~![Y: $i] : (r(X!8) <=> r(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(506,plain,
% 0.63/0.84 (r(X!8) <=> r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[505, 500])).
% 0.63/0.84 tff(507,assumption,(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))), introduced(assumption)).
% 0.63/0.84 tff(508,plain,
% 0.63/0.84 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | ![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(509,plain,
% 0.63/0.84 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[508, 498, 507])).
% 0.63/0.84 tff(510,plain,
% 0.63/0.84 ((~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))) | ((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(511,plain,
% 0.63/0.84 ((~r(X!6)) <=> r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[510, 509])).
% 0.63/0.84 tff(512,plain,
% 0.63/0.84 (r(X!8) <=> r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[505, 502])).
% 0.63/0.84 tff(513,plain,
% 0.63/0.84 ((~r(X!6)) <=> r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[510, 462])).
% 0.63/0.84 tff(514,assumption,(r(X!6)), introduced(assumption)).
% 0.63/0.84 tff(515,plain,
% 0.63/0.84 ((~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))) | (~r(X!6)) | (~r(tptp_fun_Y_9(X!6)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(516,plain,
% 0.63/0.84 ((~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))) | (~r(tptp_fun_Y_9(X!6)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[515, 514])).
% 0.63/0.84 tff(517,plain,
% 0.63/0.84 (~r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[516, 513])).
% 0.63/0.84 tff(518,plain,
% 0.63/0.84 ((~![Y: $i] : (r(X!8) <=> r(Y))) | (r(X!8) <=> r(X!6))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(519,plain,
% 0.63/0.84 (r(X!8) <=> r(X!6)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[518, 502])).
% 0.63/0.84 tff(520,plain,
% 0.63/0.84 ((~(r(X!8) <=> r(X!6))) | r(X!8) | (~r(X!6))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(521,plain,
% 0.63/0.84 ((~(r(X!8) <=> r(X!6))) | r(X!8)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[520, 514])).
% 0.63/0.84 tff(522,plain,
% 0.63/0.84 (r(X!8)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[521, 519])).
% 0.63/0.84 tff(523,plain,
% 0.63/0.84 ((~(r(X!8) <=> r(tptp_fun_Y_9(X!6)))) | (~r(X!8)) | r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(524,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[523, 522, 517, 512])).
% 0.63/0.84 tff(525,plain,((~r(X!6)) | (~![Y: $i] : (r(X!8) <=> r(Y))) | (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(526,plain,
% 0.63/0.84 (~r(X!6)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[525, 500, 509])).
% 0.63/0.84 tff(527,plain,
% 0.63/0.84 ((~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))) | r(X!6) | r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(528,plain,
% 0.63/0.84 ((~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))) | r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[527, 526])).
% 0.63/0.84 tff(529,plain,
% 0.63/0.84 (r(tptp_fun_Y_9(X!6))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[528, 511])).
% 0.63/0.84 tff(530,plain,
% 0.63/0.84 (r(X!8) <=> r(X!6)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[518, 500])).
% 0.63/0.84 tff(531,plain,
% 0.63/0.84 ((~(r(X!8) <=> r(X!6))) | (~r(X!8)) | r(X!6)),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(532,plain,
% 0.63/0.84 ((~(r(X!8) <=> r(X!6))) | (~r(X!8))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[531, 526])).
% 0.63/0.84 tff(533,plain,
% 0.63/0.84 (~r(X!8)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[532, 530])).
% 0.63/0.84 tff(534,plain,
% 0.63/0.84 ((~(r(X!8) <=> r(tptp_fun_Y_9(X!6)))) | r(X!8) | (~r(tptp_fun_Y_9(X!6)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(535,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[534, 533, 529, 506])).
% 0.63/0.84 tff(536,plain,((~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(537,plain,
% 0.63/0.84 (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[536, 497, 489])).
% 0.63/0.84 tff(538,assumption,((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))), introduced(assumption)).
% 0.63/0.84 tff(539,assumption,(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))), introduced(assumption)).
% 0.63/0.84 tff(540,plain,
% 0.63/0.84 (((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(541,plain,
% 0.63/0.84 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[540, 496])).
% 0.63/0.84 tff(542,assumption,((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))), introduced(assumption)).
% 0.63/0.84 tff(543,plain,
% 0.63/0.84 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[460, 542, 459])).
% 0.63/0.84 tff(544,plain,
% 0.63/0.84 (~![X: $i] : (~r(X))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[476, 543])).
% 0.63/0.84 tff(545,assumption,(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))), introduced(assumption)).
% 0.63/0.84 tff(546,plain,
% 0.63/0.84 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | ![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(547,plain,
% 0.63/0.84 (![Y: $i] : (r(X!8) <=> r(Y))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[546, 542, 545])).
% 0.63/0.84 tff(548,plain,
% 0.63/0.84 (~r(X!6)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[525, 547, 543])).
% 0.63/0.84 tff(549,assumption,(s(Y!7)), introduced(assumption)).
% 0.63/0.84 tff(550,plain,
% 0.63/0.84 ((~((~s(Y!7)) | ![X: $i] : (~r(X)))) | (~s(Y!7)) | ![X: $i] : (~r(X))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(551,plain,
% 0.63/0.84 (~((~s(Y!7)) | ![X: $i] : (~r(X)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[550, 549, 234])).
% 0.63/0.84 tff(552,plain,
% 0.63/0.84 (((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))) | ((~s(Y!7)) | ![X: $i] : (~r(X)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(553,plain,
% 0.63/0.84 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[552, 551])).
% 0.63/0.84 tff(554,plain,
% 0.63/0.84 ((~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))) | ![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(555,plain,
% 0.63/0.84 (![Y: $i] : (q(X!4) <=> q(Y))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[554, 553, 539])).
% 0.63/0.84 tff(556,plain,
% 0.63/0.84 ((~(r(X!6) | (~s(Y!7)))) | r(X!6) | (~s(Y!7))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(557,plain,
% 0.63/0.84 (~(r(X!6) | (~s(Y!7)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[556, 549, 490])).
% 0.63/0.84 tff(558,plain,
% 0.63/0.84 (((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))) | (r(X!6) | (~s(Y!7)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(559,plain,
% 0.63/0.84 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[558, 557])).
% 0.63/0.84 tff(560,plain,
% 0.63/0.84 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(561,plain,
% 0.63/0.84 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[560, 559, 538])).
% 0.63/0.84 tff(562,assumption,(![Y: $i] : (q(X!4) <=> q(Y))), introduced(assumption)).
% 0.63/0.84 tff(563,assumption,(~(q(X!4) <=> q(tptp_fun_Y_5(Y!15)))), introduced(assumption)).
% 0.63/0.84 tff(564,plain,
% 0.63/0.84 ((~![Y: $i] : (q(X!4) <=> q(Y))) | (q(X!4) <=> q(tptp_fun_Y_5(Y!15)))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(565,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[564, 562, 563])).
% 0.63/0.84 tff(566,plain,((q(X!4) <=> q(tptp_fun_Y_5(Y!15))) | (~![Y: $i] : (q(X!4) <=> q(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(567,plain,
% 0.63/0.84 (q(X!4) <=> q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[566, 562])).
% 0.63/0.84 tff(568,plain,
% 0.63/0.84 ((~![Y: $i] : (q(X!4) <=> q(Y))) | (q(X!4) <=> q(Y!15))),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(569,plain,
% 0.63/0.84 (q(X!4) <=> q(Y!15)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[568, 562])).
% 0.63/0.84 tff(570,plain,
% 0.63/0.84 ((~(q(X!4) <=> q(Y!15))) | (~q(X!4)) | q(Y!15)),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(571,plain,
% 0.63/0.84 ((~(q(X!4) <=> q(Y!15))) | (~q(X!4))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[570, 119])).
% 0.63/0.84 tff(572,plain,
% 0.63/0.84 (~q(X!4)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[571, 569])).
% 0.63/0.84 tff(573,plain,
% 0.63/0.84 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[454, 438])).
% 0.63/0.84 tff(574,plain,
% 0.63/0.84 ((~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))) | q(Y!15) | q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(575,plain,
% 0.63/0.84 ((~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))) | q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[574, 119])).
% 0.63/0.84 tff(576,plain,
% 0.63/0.84 (q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[575, 573])).
% 0.63/0.84 tff(577,plain,
% 0.63/0.84 ((~(q(X!4) <=> q(tptp_fun_Y_5(Y!15)))) | q(X!4) | (~q(tptp_fun_Y_5(Y!15)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(578,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[577, 576, 572, 567])).
% 0.63/0.84 tff(579,plain,(q(Y!15) | (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) | (~![Y: $i] : (q(X!4) <=> q(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(580,plain,
% 0.63/0.84 (q(Y!15)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[579, 438, 562])).
% 0.63/0.84 tff(581,plain,
% 0.63/0.84 ((~(q(X!4) <=> q(Y!15))) | q(X!4) | (~q(Y!15))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(582,plain,
% 0.63/0.84 ((~(q(X!4) <=> q(Y!15))) | q(X!4)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[581, 580])).
% 0.63/0.84 tff(583,plain,
% 0.63/0.84 (q(X!4)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[582, 569])).
% 0.63/0.84 tff(584,plain,
% 0.63/0.84 ((~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))) | (~q(Y!15)) | (~q(tptp_fun_Y_5(Y!15)))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(585,plain,
% 0.63/0.84 ((~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))) | (~q(tptp_fun_Y_5(Y!15)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[584, 580])).
% 0.63/0.84 tff(586,plain,
% 0.63/0.84 (~q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[585, 573])).
% 0.63/0.84 tff(587,plain,
% 0.63/0.84 ((~(q(X!4) <=> q(tptp_fun_Y_5(Y!15)))) | (~q(X!4)) | q(tptp_fun_Y_5(Y!15))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(588,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[587, 586, 583, 567])).
% 0.63/0.84 tff(589,plain,((~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) | (~![Y: $i] : (q(X!4) <=> q(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(590,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[589, 561, 555])).
% 0.63/0.84 tff(591,plain,((~s(Y!7)) | (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))) | r(X!6) | ![X: $i] : (~r(X))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(592,plain,
% 0.63/0.84 (~s(Y!7)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[591, 548, 539, 538, 544])).
% 0.63/0.84 tff(593,plain,
% 0.63/0.84 ((r(X!6) | (~s(Y!7))) | s(Y!7)),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(594,plain,
% 0.63/0.84 (r(X!6) | (~s(Y!7))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[593, 592])).
% 0.63/0.84 tff(595,assumption,(r(X!6) | (~s(Y!7))), introduced(assumption)).
% 0.63/0.84 tff(596,plain,
% 0.63/0.84 (~s(Y!7)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[556, 490, 595])).
% 0.63/0.84 tff(597,assumption,(r(X!6) | ![Y: $i] : s(Y)), introduced(assumption)).
% 0.63/0.84 tff(598,plain,
% 0.63/0.84 ((~(r(X!6) | ![Y: $i] : s(Y))) | r(X!6) | ![Y: $i] : s(Y)),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(599,plain,
% 0.63/0.84 (![Y: $i] : s(Y)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[598, 490, 597])).
% 0.63/0.84 tff(600,plain,
% 0.63/0.84 ((~![Y: $i] : s(Y)) | s(Y!7)),
% 0.63/0.84 inference(quant_inst,[status(thm)],[])).
% 0.63/0.84 tff(601,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[600, 599, 596])).
% 0.63/0.84 tff(602,plain,(r(X!6) | (~(r(X!6) | (~s(Y!7)))) | (~(r(X!6) | ![Y: $i] : s(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(603,plain,
% 0.63/0.84 (~(r(X!6) | ![Y: $i] : s(Y))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[602, 594, 548])).
% 0.63/0.84 tff(604,plain,
% 0.63/0.84 ((r(X!6) | ![Y: $i] : s(Y)) | (~![Y: $i] : s(Y))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(605,plain,
% 0.63/0.84 (~![Y: $i] : s(Y)),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[604, 603])).
% 0.63/0.84 tff(606,plain,
% 0.63/0.84 (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[478, 605, 544])).
% 0.63/0.84 tff(607,plain,
% 0.63/0.84 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[425, 606])).
% 0.63/0.84 tff(608,plain,
% 0.63/0.84 (((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))) | (r(X!6) | ![Y: $i] : s(Y))),
% 0.63/0.84 inference(tautology,[status(thm)],[])).
% 0.63/0.84 tff(609,plain,
% 0.63/0.84 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[608, 603])).
% 0.63/0.84 tff(610,plain,
% 0.63/0.84 (![Y: $i] : (q(X!4) <=> q(Y))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[554, 609, 539])).
% 0.63/0.84 tff(611,plain,
% 0.63/0.84 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[589, 610])).
% 0.63/0.84 tff(612,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[560, 611, 607, 538])).
% 0.63/0.84 tff(613,plain,((~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.84 tff(614,plain,
% 0.63/0.84 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[613, 541, 539, 459, 538])).
% 0.63/0.84 tff(615,plain,
% 0.63/0.84 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[18, 614])).
% 0.63/0.84 tff(616,plain,
% 0.63/0.84 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[20, 614])).
% 0.63/0.84 tff(617,plain,
% 0.63/0.84 ($false),
% 0.63/0.84 inference(unit_resolution,[status(thm)],[230, 616, 615, 537])).
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% 0.63/0.85 tff(619,plain,
% 0.63/0.85 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[618, 494, 459, 493, 489])).
% 0.63/0.85 tff(620,plain,
% 0.63/0.85 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[418, 619, 495])).
% 0.63/0.85 tff(621,plain,
% 0.63/0.85 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[434, 620])).
% 0.63/0.85 tff(622,plain,
% 0.63/0.85 (![Y: $i] : (q(X!4) <=> q(Y))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[554, 433, 539])).
% 0.63/0.85 tff(623,assumption,((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))), introduced(assumption)).
% 0.63/0.85 tff(624,plain,
% 0.63/0.85 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[436, 433, 623])).
% 0.63/0.85 tff(625,plain,
% 0.63/0.85 ($false),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[589, 624, 622])).
% 0.63/0.85 tff(626,plain,((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | (~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.85 tff(627,plain,
% 0.63/0.85 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[626, 621, 494])).
% 0.63/0.85 tff(628,plain,
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% 0.63/0.85 tff(629,plain,
% 0.63/0.85 (r(X!6) | ![Y: $i] : s(Y)),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[608, 627])).
% 0.63/0.85 tff(630,assumption,((~s(Y!7)) | ![X: $i] : (~r(X))), introduced(assumption)).
% 0.63/0.85 tff(631,assumption,(~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))), introduced(assumption)).
% 0.63/0.85 tff(632,plain,
% 0.63/0.85 (r(X!6) | (~s(Y!7))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[558, 631])).
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% 0.63/0.85 (r(X!6)),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[602, 632, 597])).
% 0.63/0.85 tff(634,plain,
% 0.63/0.85 ((~![X: $i] : (~r(X))) | (~r(X!6))),
% 0.63/0.85 inference(quant_inst,[status(thm)],[])).
% 0.63/0.85 tff(635,plain,
% 0.63/0.85 ($false),
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% 0.63/0.85 tff(636,plain,((~![X: $i] : (~r(X))) | (~r(X!6))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.85 tff(637,plain,
% 0.63/0.85 (~![X: $i] : (~r(X))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[636, 633])).
% 0.63/0.85 tff(638,plain,
% 0.63/0.85 (~s(Y!7)),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[550, 637, 630])).
% 0.63/0.85 tff(639,plain,
% 0.63/0.85 (![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[425, 631])).
% 0.63/0.85 tff(640,plain,
% 0.63/0.85 (![Y: $i] : s(Y)),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[478, 637, 639])).
% 0.63/0.85 tff(641,plain,
% 0.63/0.85 ($false),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[600, 640, 638])).
% 0.63/0.85 tff(642,plain,(((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))) | (~(r(X!6) | ![Y: $i] : s(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.85 tff(643,plain,
% 0.63/0.85 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
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% 0.63/0.85 tff(644,plain,
% 0.63/0.85 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
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% 0.63/0.85 tff(645,plain,
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% 0.63/0.85 inference(unit_resolution,[status(thm)],[421, 620])).
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% 0.63/0.85 tff(649,plain,
% 0.63/0.85 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[648, 491, 459, 489])).
% 0.63/0.85 tff(650,plain,
% 0.63/0.85 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[416, 649])).
% 0.63/0.85 tff(651,assumption,((~r(X!6)) <=> r(tptp_fun_Y_9(X!6))), introduced(assumption)).
% 0.63/0.85 tff(652,plain,
% 0.63/0.85 ((~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))) | r(tptp_fun_Y_9(X!6))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[527, 490])).
% 0.63/0.85 tff(653,plain,
% 0.63/0.85 (r(tptp_fun_Y_9(X!6))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[652, 651])).
% 0.63/0.85 tff(654,plain,
% 0.63/0.85 ((~(r(X!8) <=> r(X!6))) | (~r(X!8))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[531, 490])).
% 0.63/0.85 tff(655,plain,
% 0.63/0.85 (~r(X!8)),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[654, 519])).
% 0.63/0.85 tff(656,plain,
% 0.63/0.85 ($false),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[534, 655, 653, 512])).
% 0.63/0.85 tff(657,plain,((~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))) | r(X!6) | (~![Y: $i] : (r(X!8) <=> r(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.85 tff(658,plain,
% 0.63/0.85 (~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[657, 548, 547])).
% 0.63/0.85 tff(659,plain,
% 0.63/0.85 ($false),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[510, 543, 658])).
% 0.63/0.85 tff(660,plain,((~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.63/0.85 tff(661,plain,
% 0.63/0.85 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[660, 541, 459])).
% 0.63/0.85 tff(662,plain,
% 0.63/0.85 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 0.63/0.85 inference(unit_resolution,[status(thm)],[18, 661])).
% 0.63/0.85 tff(663,plain,
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% 0.63/0.85 inference(unit_resolution,[status(thm)],[20, 661])).
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% 0.63/0.85 tff(666,plain,
% 0.63/0.85 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[665, 459, 489])).
% 0.73/0.85 tff(667,assumption,(~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))), introduced(assumption)).
% 0.73/0.85 tff(668,plain,
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% 0.73/0.85 inference(unit_resolution,[status(thm)],[18, 667])).
% 0.73/0.85 tff(669,plain,
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% 0.73/0.85 inference(unit_resolution,[status(thm)],[460, 668, 459])).
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% 0.73/0.85 tff(671,assumption,(~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))), introduced(assumption)).
% 0.73/0.85 tff(672,plain,
% 0.73/0.85 (r(X!6) | ![Y: $i] : s(Y)),
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% 0.73/0.85 inference(unit_resolution,[status(thm)],[602, 672, 490])).
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% 0.73/0.85 inference(unit_resolution,[status(thm)],[552, 671])).
% 0.73/0.85 tff(675,plain,
% 0.73/0.85 (~s(Y!7)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[550, 674, 234])).
% 0.73/0.85 tff(676,plain,
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% 0.73/0.85 tff(678,plain,
% 0.73/0.85 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[677, 670, 490])).
% 0.73/0.85 tff(679,plain,
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% 0.73/0.85 inference(unit_resolution,[status(thm)],[602, 632, 490])).
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% 0.73/0.85 tff(682,plain,(((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))) | ![X: $i] : (~r(X)) | r(X!6)), inference(lemma,lemma(discharge,[]))).
% 0.73/0.85 tff(683,plain,
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% 0.73/0.86 inference(tautology,[status(thm)],[])).
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% 0.73/0.86 inference(tautology,[status(thm)],[])).
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% 0.73/0.86 inference(unit_resolution,[status(thm)],[686, 669])).
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% 0.73/0.86 inference(unit_resolution,[status(thm)],[536, 687, 489])).
% 0.73/0.86 tff(689,plain,
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% 0.73/0.86 inference(unit_resolution,[status(thm)],[22, 688])).
% 0.73/0.86 tff(690,plain,
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% 0.73/0.86 inference(unit_resolution,[status(thm)],[216, 689, 685])).
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% 0.73/0.86 inference(unit_resolution,[status(thm)],[31, 690])).
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% 0.73/0.86 inference(tautology,[status(thm)],[])).
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s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.87 tff(706,plain,
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% 0.73/0.88 inference(unit_resolution,[status(thm)],[727, 702, 105, 104])).
% 0.73/0.88 tff(729,plain,
% 0.73/0.88 ($false),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[416, 728, 700])).
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% 0.73/0.88 tff(731,plain,
% 0.73/0.88 ($false),
% 0.73/0.88 inference(unit_resolution,[status(thm)],[730, 103, 101, 4, 237, 697])).
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% 0.73/0.88 inference(tautology,[status(thm)],[])).
% 0.73/0.88 tff(738,plain,
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% 0.73/0.88 inference(unit_resolution,[status(thm)],[737, 736, 716])).
% 0.73/0.88 tff(739,plain,
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% 0.73/0.88 tff(741,plain,
% 0.73/0.88 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))),
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% 0.76/0.89 tff(770,plain,
% 0.76/0.89 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 0.76/0.89 inference(unit_resolution,[status(thm)],[769, 490, 489, 459])).
% 0.76/0.89 tff(771,plain,
% 0.76/0.89 (![X: $i] : (~r(X))),
% 0.76/0.89 inference(unit_resolution,[status(thm)],[682, 631, 490])).
% 0.76/0.89 tff(772,plain,
% 0.76/0.89 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 0.76/0.89 inference(unit_resolution,[status(thm)],[476, 771])).
% 0.76/0.89 tff(773,plain,
% 0.76/0.89 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 0.76/0.89 inference(unit_resolution,[status(thm)],[460, 772, 459])).
% 0.76/0.89 tff(774,plain,
% 0.76/0.89 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[20, 773])).
% 0.76/0.90 tff(775,plain,
% 0.76/0.90 ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[230, 774, 770])).
% 0.76/0.90 tff(776,plain,
% 0.76/0.90 (![Y: $i] : (r(X!8) <=> r(Y))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[499, 775, 489])).
% 0.76/0.90 tff(777,assumption,(~(r(X!8) <=> r(Y!3))), introduced(assumption)).
% 0.76/0.90 tff(778,plain,
% 0.76/0.90 ((~![Y: $i] : (r(X!8) <=> r(Y))) | (r(X!8) <=> r(Y!3))),
% 0.76/0.90 inference(quant_inst,[status(thm)],[])).
% 0.76/0.90 tff(779,plain,
% 0.76/0.90 ($false),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[778, 502, 777])).
% 0.76/0.90 tff(780,plain,((r(X!8) <=> r(Y!3)) | (~![Y: $i] : (r(X!8) <=> r(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.76/0.90 tff(781,plain,
% 0.76/0.90 (r(X!8) <=> r(Y!3)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[780, 776])).
% 0.76/0.90 tff(782,plain,
% 0.76/0.90 (r(X!8) <=> r(tptp_fun_Y_9(X!6))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[505, 776])).
% 0.76/0.90 tff(783,plain,
% 0.76/0.90 (~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[657, 776, 490])).
% 0.76/0.90 tff(784,plain,
% 0.76/0.90 (((~r(X!6)) <=> r(tptp_fun_Y_9(X!6))) | r(X!6) | (~r(tptp_fun_Y_9(X!6)))),
% 0.76/0.90 inference(tautology,[status(thm)],[])).
% 0.76/0.90 tff(785,plain,
% 0.76/0.90 (~r(tptp_fun_Y_9(X!6))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[784, 783, 490])).
% 0.76/0.90 tff(786,plain,
% 0.76/0.90 (~r(X!8)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[523, 785, 782])).
% 0.76/0.90 tff(787,plain,
% 0.76/0.90 ((~(r(X!8) <=> r(Y!3))) | r(X!8) | (~r(Y!3))),
% 0.76/0.90 inference(tautology,[status(thm)],[])).
% 0.76/0.90 tff(788,plain,
% 0.76/0.90 ((~(r(X!8) <=> r(Y!3))) | (~r(Y!3))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[787, 786])).
% 0.76/0.90 tff(789,plain,
% 0.76/0.90 (~r(Y!3)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[788, 781])).
% 0.76/0.90 tff(790,plain,
% 0.76/0.90 (((~r(Y!3)) | ![X: $i] : (~q(X))) | r(Y!3)),
% 0.76/0.90 inference(tautology,[status(thm)],[])).
% 0.76/0.90 tff(791,plain,
% 0.76/0.90 ((~r(Y!3)) | ![X: $i] : (~q(X))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[790, 789])).
% 0.76/0.90 tff(792,plain,
% 0.76/0.90 ((q(X!2) | (~r(Y!3))) | r(Y!3)),
% 0.76/0.90 inference(tautology,[status(thm)],[])).
% 0.76/0.90 tff(793,plain,
% 0.76/0.90 (q(X!2) | (~r(Y!3))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[792, 789])).
% 0.76/0.90 tff(794,plain,
% 0.76/0.90 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[608, 679])).
% 0.76/0.90 tff(795,plain,
% 0.76/0.90 (![Y: $i] : (q(X!4) <=> q(Y))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[554, 794, 539])).
% 0.76/0.90 tff(796,plain,
% 0.76/0.90 (~s(Y!7)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[556, 632, 490])).
% 0.76/0.90 tff(797,assumption,(q(X!2) | (~r(Y!3))), introduced(assumption)).
% 0.76/0.90 tff(798,assumption,(q(X!2) | ![Y: $i] : r(Y)), introduced(assumption)).
% 0.76/0.90 tff(799,assumption,(~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))), introduced(assumption)).
% 0.76/0.90 tff(800,plain,
% 0.76/0.90 (q(X!2) | (~r(Y!3))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[247, 799])).
% 0.76/0.90 tff(801,plain,
% 0.76/0.90 (![X: $i] : (~q(X)) | ![Y: $i] : r(Y)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[255, 799])).
% 0.76/0.90 tff(802,plain,
% 0.76/0.90 (![X: $i] : (~q(X))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[266, 801, 257])).
% 0.76/0.90 tff(803,plain,
% 0.76/0.90 (~q(X!2)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[272, 802])).
% 0.76/0.90 tff(804,plain,
% 0.76/0.90 (~r(Y!3)),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[274, 803, 800])).
% 0.76/0.90 tff(805,plain,
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[278, 803, 798])).
% 0.76/0.90 tff(806,plain,
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[264, 805, 804])).
% 0.76/0.90 tff(807,plain,(((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y)))) | (~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X))))), inference(lemma,lemma(discharge,[]))).
% 0.76/0.90 tff(808,plain,
% 0.76/0.90 ((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y)))),
% 0.76/0.90 inference(unit_resolution,[status(thm)],[807, 798, 257])).
% 0.76/0.90 tff(809,plain,
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[286, 808, 241])).
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[284, 809])).
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% 0.76/0.90 inference(quant_inst,[status(thm)],[])).
% 0.76/0.90 tff(813,plain,
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[812, 811])).
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[816, 562])).
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% 0.76/0.90 inference(quant_inst,[status(thm)],[])).
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% 0.76/0.90 inference(tautology,[status(thm)],[])).
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% 0.76/0.90 tff(833,plain,((~p(tptp_fun_Y_0(X!14))) | (~![X: $i] : (~p(X)))), inference(lemma,lemma(discharge,[]))).
% 0.76/0.90 tff(834,plain,
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% 0.76/0.90 inference(tautology,[status(thm)],[])).
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% 0.76/0.90 inference(unit_resolution,[status(thm)],[836, 813])).
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% 0.76/0.90 inference(quant_inst,[status(thm)],[])).
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[191, 46, 187])).
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[874, 873])).
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[613, 875, 539, 459, 538])).
% 0.76/0.91 tff(877,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[20, 876])).
% 0.76/0.91 tff(878,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[18, 876])).
% 0.76/0.91 tff(879,assumption,(~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))), introduced(assumption)).
% 0.76/0.91 tff(880,plain,
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
% 0.76/0.91 tff(881,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[880, 879])).
% 0.76/0.91 tff(882,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[53, 881, 187])).
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[45, 882])).
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[172, 883, 24])).
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[230, 220, 24])).
% 0.76/0.91 tff(886,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[28, 879])).
% 0.76/0.91 tff(887,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[221, 886, 220])).
% 0.76/0.91 tff(888,plain,
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
% 0.76/0.91 tff(889,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[888, 887])).
% 0.76/0.91 tff(890,plain,
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
% 0.76/0.91 tff(891,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[890, 889, 885])).
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% 0.76/0.91 inference(tautology,[status(thm)],[])).
% 0.76/0.91 tff(893,plain,
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% 0.76/0.91 inference(unit_resolution,[status(thm)],[892, 891, 884])).
% 0.76/0.91 tff(894,plain,((![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))), inference(lemma,lemma(discharge,[]))).
% 0.76/0.92 tff(895,plain,
% 0.76/0.92 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))),
% 0.76/0.92 inference(unit_resolution,[status(thm)],[894, 878, 187, 877])).
% 0.76/0.92 tff(896,assumption,(~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))), introduced(assumption)).
% 0.76/0.92 tff(897,plain,
% 0.76/0.92 ((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))),
% 0.76/0.92 inference(unit_resolution,[status(thm)],[869, 896])).
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[136, 897, 187])).
% 0.76/0.92 tff(899,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[31, 898])).
% 0.76/0.92 tff(900,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[221, 899, 220])).
% 0.76/0.92 tff(901,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[42, 896])).
% 0.76/0.92 tff(902,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[172, 901, 24])).
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[892, 902])).
% 0.76/0.92 tff(904,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[890, 903, 885])).
% 0.76/0.92 tff(905,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[888, 904, 900])).
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% 0.76/0.92 tff(907,plain,
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% 0.76/0.92 inference(unit_resolution,[status(thm)],[906, 878, 187, 877])).
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% 0.81/0.94 tff(1010,plain,
% 0.81/0.94 (![Y: $i] : (s(X!12) <=> s(Y))),
% 0.81/0.94 inference(unit_resolution,[status(thm)],[1009, 791, 241, 774, 983, 770, 940])).
% 0.81/0.94 tff(1011,plain,
% 0.81/0.94 ((![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))) | (~![Y: $i] : (s(X!12) <=> s(Y)))),
% 0.81/0.94 inference(tautology,[status(thm)],[])).
% 0.81/0.94 tff(1012,plain,
% 0.81/0.94 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 0.81/0.94 inference(unit_resolution,[status(thm)],[1011, 1010])).
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% 0.81/0.94 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 0.81/0.94 inference(unit_resolution,[status(thm)],[195, 980])).
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% 0.81/0.94 tff(1017,plain,
% 0.81/0.94 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
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% 0.81/0.94 tff(1019,plain,
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% 0.81/0.94 inference(tautology,[status(thm)],[])).
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% 0.81/0.94 inference(quant_inst,[status(thm)],[])).
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% 0.81/0.94 inference(tautology,[status(thm)],[])).
% 0.81/0.94 tff(1029,plain,
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% 0.81/0.94 inference(unit_resolution,[status(thm)],[1028, 1027])).
% 0.81/0.94 tff(1030,plain,
% 0.81/0.94 (~s(tptp_fun_Y_13(Y!7))),
% 0.81/0.94 inference(unit_resolution,[status(thm)],[1029, 1025])).
% 0.81/0.94 tff(1031,plain,
% 0.81/0.94 ((~![Y: $i] : s(Y)) | s(tptp_fun_Y_13(Y!7))),
% 0.81/0.94 inference(quant_inst,[status(thm)],[])).
% 0.81/0.94 tff(1032,plain,
% 0.81/0.94 ($false),
% 0.81/0.94 inference(unit_resolution,[status(thm)],[1031, 599, 1030])).
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% 0.81/0.96 tff(1109,plain,
% 0.81/0.96 (q(Y!15)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1108, 1093, 650, 1056, 1018, 1092])).
% 0.81/0.96 tff(1110,plain,
% 0.81/0.96 ((~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))) | (~q(tptp_fun_Y_5(Y!15)))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[584, 1109])).
% 0.81/0.96 tff(1111,plain,
% 0.81/0.96 (~q(tptp_fun_Y_5(Y!15))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1110, 1019])).
% 0.81/0.96 tff(1112,plain,
% 0.81/0.96 (p(X!14) | (~q(Y!15))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[126, 1091])).
% 0.81/0.96 tff(1113,plain,
% 0.81/0.96 (p(X!14)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[128, 1109, 1112])).
% 0.81/0.96 tff(1114,plain,
% 0.81/0.96 ((p(X!14) | ![Y: $i] : q(Y)) | (~p(X!14))),
% 0.81/0.96 inference(tautology,[status(thm)],[])).
% 0.81/0.96 tff(1115,plain,
% 0.81/0.96 (p(X!14) | ![Y: $i] : q(Y)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1114, 1113])).
% 0.81/0.96 tff(1116,plain,
% 0.81/0.96 (![Y: $i] : q(Y)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[116, 1115, 1092])).
% 0.81/0.96 tff(1117,plain,
% 0.81/0.96 ((~![Y: $i] : q(Y)) | q(tptp_fun_Y_5(Y!15))),
% 0.81/0.96 inference(quant_inst,[status(thm)],[])).
% 0.81/0.96 tff(1118,plain,
% 0.81/0.96 ($false),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1117, 1116, 1111])).
% 0.81/0.96 tff(1119,plain,(((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))) | r(X!6) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.81/0.96 tff(1120,plain,
% 0.81/0.96 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1119, 490, 489, 459])).
% 0.81/0.96 tff(1121,plain,
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% 0.81/0.96 inference(unit_resolution,[status(thm)],[434, 487])).
% 0.81/0.96 tff(1122,assumption,(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))), introduced(assumption)).
% 0.81/0.96 tff(1123,plain,
% 0.81/0.96 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[682, 234, 490])).
% 0.81/0.96 tff(1124,plain,
% 0.81/0.96 (![Y: $i] : (q(X!4) <=> q(Y))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[423, 1123, 1122])).
% 0.81/0.96 tff(1125,plain,
% 0.81/0.96 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[677, 234, 490])).
% 0.81/0.96 tff(1126,plain,
% 0.81/0.96 (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[626, 1125, 623])).
% 0.81/0.96 tff(1127,plain,
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% 0.81/0.96 inference(unit_resolution,[status(thm)],[9, 1126, 1124])).
% 0.81/0.96 tff(1128,plain,(![X: $i] : (~r(X)) | (~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))) | r(X!6)), inference(lemma,lemma(discharge,[]))).
% 0.81/0.96 tff(1129,plain,
% 0.81/0.96 (![X: $i] : (~r(X))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1128, 1121, 488, 490])).
% 0.81/0.96 tff(1130,plain,
% 0.81/0.96 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[476, 1129])).
% 0.81/0.96 tff(1131,plain,
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% 0.81/0.96 inference(unit_resolution,[status(thm)],[460, 1130, 459])).
% 0.81/0.96 tff(1132,plain,
% 0.81/0.96 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[20, 1131])).
% 0.81/0.96 tff(1133,plain,
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% 0.81/0.96 inference(unit_resolution,[status(thm)],[230, 1132, 770])).
% 0.81/0.96 tff(1134,plain,
% 0.81/0.96 (![Y: $i] : (r(X!8) <=> r(Y))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[499, 1133, 489])).
% 0.81/0.96 tff(1135,plain,
% 0.81/0.96 (~((~r(X!6)) <=> r(tptp_fun_Y_9(X!6)))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[657, 502, 490])).
% 0.81/0.96 tff(1136,plain,
% 0.81/0.96 (~r(tptp_fun_Y_9(X!6))),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[784, 1135, 490])).
% 0.81/0.96 tff(1137,assumption,(r(Y!3)), introduced(assumption)).
% 0.81/0.96 tff(1138,plain,
% 0.81/0.96 (r(X!8) <=> r(Y!3)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[780, 502])).
% 0.81/0.96 tff(1139,plain,
% 0.81/0.96 (r(X!8)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[787, 1138, 1137])).
% 0.81/0.96 tff(1140,plain,
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% 0.81/0.96 inference(unit_resolution,[status(thm)],[523, 1139, 1136, 512])).
% 0.81/0.96 tff(1141,plain,((~![Y: $i] : (r(X!8) <=> r(Y))) | (~r(Y!3)) | r(X!6)), inference(lemma,lemma(discharge,[]))).
% 0.81/0.96 tff(1142,plain,
% 0.81/0.96 (~r(Y!3)),
% 0.81/0.96 inference(unit_resolution,[status(thm)],[1141, 1134, 490])).
% 0.81/0.96 tff(1143,plain,
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% 0.81/0.97 tff(1220,plain,
% 0.81/0.97 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))),
% 0.81/0.97 inference(unit_resolution,[status(thm)],[1219, 1132, 770, 1145, 1143, 490, 1121, 488])).
% 0.81/0.97 tff(1221,plain,
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% 0.81/0.97 inference(tautology,[status(thm)],[])).
% 0.81/0.97 tff(1222,plain,
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[1221, 1220, 1120])).
% 0.81/0.97 tff(1223,plain,
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% 0.81/0.97 inference(tautology,[status(thm)],[])).
% 0.81/0.97 tff(1224,plain,
% 0.81/0.97 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 0.81/0.97 inference(unit_resolution,[status(thm)],[1223, 1222])).
% 0.81/0.97 tff(1225,plain,
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[423, 1224, 488])).
% 0.81/0.97 tff(1226,assumption,(~(q(X!4) <=> q(X!2))), introduced(assumption)).
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% 0.81/0.97 tff(1228,plain,((q(X!4) <=> q(X!2)) | (~![Y: $i] : (q(X!4) <=> q(Y)))), inference(lemma,lemma(discharge,[]))).
% 0.81/0.97 tff(1229,plain,
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[894, 1233, 770, 1132])).
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[906, 1233, 770, 1132])).
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% 0.81/0.97 inference(tautology,[status(thm)],[])).
% 0.81/0.97 tff(1241,plain,
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[1240, 1224, 1239])).
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% 0.81/0.97 tff(1249,plain,
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[172, 1250, 24])).
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% 0.81/0.97 inference(unit_resolution,[status(thm)],[45, 1251])).
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% 0.81/0.97 tff(1256,assumption,(q(X!4) <=> q(Y!15)), introduced(assumption)).
% 0.81/0.97 tff(1257,assumption,(q(X!4) <=> q(X!2)), introduced(assumption)).
% 0.81/0.97 tff(1258,assumption,(p(X!14) | (~q(Y!15))), introduced(assumption)).
% 0.81/0.97 tff(1259,plain,
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% 0.81/0.97 tff(1262,plain,
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% 0.81/0.97 tff(1265,assumption,(~p(tptp_fun_Y_0(Y!11))), introduced(assumption)).
% 0.81/0.97 tff(1266,plain,
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% 0.81/0.97 tff(1268,plain,((~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))) | p(Y!11) | p(tptp_fun_Y_0(Y!11))), inference(lemma,lemma(discharge,[]))).
% 0.81/0.97 tff(1269,plain,
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% 0.81/0.99 tff(1322,plain,
% 0.81/0.99 (r(X!6)),
% 0.81/0.99 inference(unit_resolution,[status(thm)],[1321, 459, 236, 487])).
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[515, 513, 514])).
% 0.81/0.99 tff(1324,assumption,(![Y: $i] : r(Y)), introduced(assumption)).
% 0.81/0.99 tff(1325,plain,
% 0.81/0.99 ((~![Y: $i] : r(Y)) | r(tptp_fun_Y_9(X!6))),
% 0.81/0.99 inference(quant_inst,[status(thm)],[])).
% 0.81/0.99 tff(1326,plain,
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% 0.81/0.99 tff(1327,plain,((~![Y: $i] : r(Y)) | (~r(X!6)) | (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))))), inference(lemma,lemma(discharge,[]))).
% 0.81/0.99 tff(1328,plain,
% 0.81/0.99 (~![Y: $i] : r(Y)),
% 0.81/0.99 inference(unit_resolution,[status(thm)],[1327, 1322, 461])).
% 0.81/0.99 tff(1329,assumption,(~![Y: $i] : r(Y)), introduced(assumption)).
% 0.81/0.99 tff(1330,plain,
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% 0.81/0.99 inference(tautology,[status(thm)],[])).
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% 0.81/0.99 tff(1332,assumption,(s(tptp_fun_Y_13(X!10))), introduced(assumption)).
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% 0.81/0.99 inference(tautology,[status(thm)],[])).
% 0.81/0.99 tff(1335,plain,
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[1334, 685, 40])).
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% 0.81/0.99 inference(tautology,[status(thm)],[])).
% 0.81/0.99 tff(1337,plain,
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[158, 693, 30])).
% 0.81/0.99 tff(1339,plain,
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% 0.81/0.99 tff(1342,plain,
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[216, 685, 1341])).
% 0.81/0.99 tff(1343,plain,
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[31, 1342])).
% 0.81/0.99 tff(1344,plain,
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% 0.81/0.99 tff(1345,plain,
% 0.81/0.99 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
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% 0.81/0.99 tff(1346,plain,
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% 0.81/0.99 tff(1348,plain,
% 0.81/0.99 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[230, 1348, 16])).
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% 0.81/0.99 inference(tautology,[status(thm)],[])).
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[158, 1350, 26])).
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[42, 1355])).
% 0.81/0.99 tff(1357,plain,
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% 0.81/0.99 tff(1358,plain,
% 0.81/0.99 (((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))) | s(X!10) | (~s(tptp_fun_Y_13(X!10)))),
% 0.81/0.99 inference(tautology,[status(thm)],[])).
% 0.81/0.99 tff(1359,plain,
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% 0.81/0.99 inference(unit_resolution,[status(thm)],[1358, 1354, 1332])).
% 0.81/0.99 tff(1360,plain,
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% 0.81/0.99 tff(1362,plain,
% 0.81/0.99 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 0.81/0.99 inference(unit_resolution,[status(thm)],[1361, 1333, 1332, 16, 1331])).
% 0.81/0.99 tff(1363,plain,
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% 0.81/0.99 tff(1364,plain,
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% 0.81/0.99 tff(1367,plain,
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% 0.81/0.99 tff(1368,plain,
% 0.81/0.99 (q(tptp_fun_Y_5(Y!15))),
% 0.81/0.99 inference(unit_resolution,[status(thm)],[574, 1367, 486])).
% 0.81/0.99 tff(1369,plain,
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% 0.81/0.99 tff(1370,plain,
% 0.81/0.99 (p(X!14)),
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% 0.81/0.99 tff(1371,plain,
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% 0.81/1.00 tff(1378,plain,
% 0.81/1.00 (p(Y!11)),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[1377, 1328, 240, 486, 109, 485, 16])).
% 0.81/1.00 tff(1379,plain,
% 0.81/1.00 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[1358, 63, 1332])).
% 0.81/1.00 tff(1380,plain,
% 0.81/1.00 (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[69, 58])).
% 0.81/1.00 tff(1381,plain,
% 0.81/1.00 (![Y: $i] : (s(X!12) <=> s(Y))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[871, 1380, 16])).
% 0.81/1.00 tff(1382,plain,
% 0.81/1.00 ($false),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[208, 1381, 1379, 63])).
% 0.81/1.00 tff(1383,plain,((~![X: $i] : (~s(X))) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) | (~s(tptp_fun_Y_13(X!10)))), inference(lemma,lemma(discharge,[]))).
% 0.81/1.00 tff(1384,plain,
% 0.81/1.00 (~![X: $i] : (~s(X))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[1383, 485, 16])).
% 0.81/1.00 tff(1385,plain,
% 0.81/1.00 (~((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[73, 1384, 1378])).
% 0.81/1.00 tff(1386,plain,
% 0.81/1.00 ((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[160, 1385])).
% 0.81/1.00 tff(1387,plain,
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% 0.81/1.00 inference(unit_resolution,[status(thm)],[158, 1386, 26])).
% 0.81/1.00 tff(1388,plain,
% 0.81/1.00 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[692, 1387])).
% 0.81/1.00 tff(1389,plain,
% 0.81/1.00 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[214, 1388, 26])).
% 0.81/1.00 tff(1390,assumption,((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))), introduced(assumption)).
% 0.81/1.00 tff(1391,plain,
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% 0.81/1.00 tff(1392,plain,
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% 0.81/1.00 tff(1393,plain,
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% 0.81/1.00 tff(1394,plain,
% 0.81/1.00 (s(X!10)),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[83, 1393, 390])).
% 0.81/1.00 tff(1395,plain,
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% 0.81/1.00 inference(unit_resolution,[status(thm)],[62, 1394])).
% 0.81/1.00 tff(1396,plain,
% 0.81/1.00 (![Y: $i] : p(Y)),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[75, 1395, 1392])).
% 0.81/1.00 tff(1397,plain,
% 0.81/1.00 (p(tptp_fun_Y_0(X!14))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[956, 1396])).
% 0.81/1.00 tff(1398,plain,
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% 0.81/1.00 inference(unit_resolution,[status(thm)],[230, 16, 24])).
% 0.81/1.00 tff(1399,plain,
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% 0.81/1.00 inference(unit_resolution,[status(thm)],[158, 1399, 26])).
% 0.81/1.00 tff(1401,plain,
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% 0.81/1.00 inference(unit_resolution,[status(thm)],[45, 1400])).
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% 0.81/1.00 tff(1403,plain,
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% 0.81/1.00 tff(1404,plain,
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% 0.81/1.00 tff(1405,plain,
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% 0.81/1.00 inference(unit_resolution,[status(thm)],[833, 1404, 1397])).
% 0.81/1.00 tff(1406,plain,(((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) | ![Y: $i] : q(Y) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))) | (~p(Y!11)) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.00 tff(1407,plain,
% 0.88/1.00 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 0.88/1.00 inference(unit_resolution,[status(thm)],[1406, 1389, 16, 109, 1378, 1388])).
% 0.88/1.00 tff(1408,plain,
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% 0.88/1.00 inference(unit_resolution,[status(thm)],[195, 1407])).
% 0.88/1.00 tff(1409,plain,
% 0.88/1.00 (~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))),
% 0.88/1.00 inference(unit_resolution,[status(thm)],[216, 1389, 23])).
% 0.88/1.00 tff(1410,plain,
% 0.88/1.00 (s(X!10) | (~p(Y!11))),
% 0.88/1.00 inference(unit_resolution,[status(thm)],[34, 1409])).
% 0.88/1.00 tff(1411,plain,
% 0.88/1.00 (s(X!10)),
% 0.88/1.00 inference(unit_resolution,[status(thm)],[83, 1410, 1378])).
% 0.88/1.00 tff(1412,plain,
% 0.88/1.00 ($false),
% 0.88/1.00 inference(unit_resolution,[status(thm)],[89, 1411, 1408, 485])).
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| ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))) | (~((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))) | ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.01 tff(1414,plain,
% 0.88/1.01 ($false),
% 0.88/1.01 inference(unit_resolution,[status(thm)],[1413, 457, 452, 16, 239, 432, 426, 419])).
% 0.88/1.01 tff(1415,plain,((~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) | ![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.01 tff(1416,plain,
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% 0.88/1.01 inference(unit_resolution,[status(thm)],[1415, 10, 16, 8, 6])).
% 0.88/1.01 tff(1417,plain,
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% 0.88/1.01 inference(unit_resolution,[status(thm)],[665, 1416, 236])).
% 0.88/1.01 tff(1418,plain,
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% 0.88/1.01 inference(unit_resolution,[status(thm)],[431, 1417])).
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% 0.88/1.01 inference(unit_resolution,[status(thm)],[429, 1418, 6])).
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% 0.88/1.01 inference(unit_resolution,[status(thm)],[427, 1419])).
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% 0.88/1.01 inference(tautology,[status(thm)],[])).
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% 0.88/1.01 inference(unit_resolution,[status(thm)],[1421, 1416])).
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% 0.88/1.02 inference(unit_resolution,[status(thm)],[12, 6, 1462])).
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% 0.88/1.02 inference(unit_resolution,[status(thm)],[540, 1463])).
% 0.88/1.02 tff(1465,plain,
% 0.88/1.02 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | (~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.88/1.02 inference(tautology,[status(thm)],[])).
% 0.88/1.02 tff(1466,plain,
% 0.88/1.02 (~(r(X!6) | ![Y: $i] : s(Y))),
% 0.88/1.02 inference(unit_resolution,[status(thm)],[1465, 8, 630])).
% 0.88/1.02 tff(1467,plain,
% 0.88/1.02 ((r(X!6) | ![Y: $i] : s(Y)) | (~r(X!6))),
% 0.88/1.02 inference(tautology,[status(thm)],[])).
% 0.88/1.02 tff(1468,plain,
% 0.88/1.02 (~r(X!6)),
% 0.88/1.02 inference(unit_resolution,[status(thm)],[1467, 1466])).
% 0.88/1.02 tff(1469,plain,
% 0.88/1.02 (~![Y: $i] : (r(X!8) <=> r(Y))),
% 0.88/1.02 inference(unit_resolution,[status(thm)],[1141, 1468, 1137])).
% 0.88/1.02 tff(1470,plain,
% 0.88/1.02 ($false),
% 0.88/1.02 inference(unit_resolution,[status(thm)],[546, 1469, 1464, 542])).
% 0.88/1.02 tff(1471,plain,((![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~r(Y!3)) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.03 tff(1472,plain,
% 0.88/1.03 (~r(Y!3)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1471, 1461, 4, 233, 1422])).
% 0.88/1.03 tff(1473,plain,
% 0.88/1.03 ((~r(Y!3)) | ![X: $i] : (~q(X))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[790, 1472])).
% 0.88/1.03 tff(1474,plain,
% 0.88/1.03 ($false),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1108, 1473, 1456, 1451, 1420, 381, 1449])).
% 0.88/1.03 tff(1475,plain,((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | p(Y!11) | (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.03 tff(1476,plain,
% 0.88/1.03 (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1475, 381, 4, 16])).
% 0.88/1.03 tff(1477,plain,
% 0.88/1.03 ($false),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[167, 1339, 1337, 199])).
% 0.88/1.03 tff(1478,plain,(((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))) | s(X!10) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~(s(X!10) | (~p(Y!11))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.03 tff(1479,plain,
% 0.88/1.03 (s(X!10)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1478, 1476, 26, 1331])).
% 0.88/1.03 tff(1480,plain,
% 0.88/1.03 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[684, 1476])).
% 0.88/1.03 tff(1481,plain,
% 0.88/1.03 (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[216, 1480, 23])).
% 0.88/1.03 tff(1482,plain,
% 0.88/1.03 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[28, 1481])).
% 0.88/1.03 tff(1483,plain,
% 0.88/1.03 (s(X!12) <=> s(X!10)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[947, 182])).
% 0.88/1.03 tff(1484,plain,
% 0.88/1.03 (s(X!12) <=> s(Y!7)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[914, 182])).
% 0.88/1.03 tff(1485,plain,
% 0.88/1.03 (~s(X!12)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[916, 1484, 853])).
% 0.88/1.03 tff(1486,plain,
% 0.88/1.03 ($false),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[85, 1485, 1483, 59])).
% 0.88/1.03 tff(1487,plain,((~![Y: $i] : (s(X!12) <=> s(Y))) | (~s(X!10)) | s(Y!7)), inference(lemma,lemma(discharge,[]))).
% 0.88/1.03 tff(1488,plain,
% 0.88/1.03 (~![Y: $i] : (s(X!12) <=> s(Y))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1487, 596, 59])).
% 0.88/1.03 tff(1489,plain,
% 0.88/1.03 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[48, 1488, 38])).
% 0.88/1.03 tff(1490,plain,
% 0.88/1.03 (p(X!14) | (~q(Y!15))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[126, 1489])).
% 0.88/1.03 tff(1491,plain,
% 0.88/1.03 (~r(Y!3)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1141, 490, 502])).
% 0.88/1.03 tff(1492,plain,
% 0.88/1.03 ((~r(Y!3)) | ![X: $i] : (~q(X))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[790, 1491])).
% 0.88/1.03 tff(1493,plain,
% 0.88/1.03 (![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[106, 1489])).
% 0.88/1.03 tff(1494,plain,
% 0.88/1.03 (q(Y!15)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1108, 1493, 438, 241, 381, 1492])).
% 0.88/1.03 tff(1495,plain,
% 0.88/1.03 (~![Y: $i] : q(Y)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[451, 438])).
% 0.88/1.03 tff(1496,plain,
% 0.88/1.03 (~(p(X!14) | ![Y: $i] : q(Y))),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[116, 1493, 1495])).
% 0.88/1.03 tff(1497,plain,
% 0.88/1.03 (~p(X!14)),
% 0.88/1.03 inference(unit_resolution,[status(thm)],[1114, 1496])).
% 0.88/1.03 tff(1498,plain,
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% 0.88/1.05 tff(1592,plain,
% 0.88/1.05 (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[266, 1591, 1584])).
% 0.88/1.05 tff(1593,plain,
% 0.88/1.05 ($false),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[255, 1592, 1579])).
% 0.88/1.05 tff(1594,plain,((![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.05 tff(1595,plain,
% 0.88/1.05 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[1594, 16])).
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% 0.88/1.05 tff(1597,plain,
% 0.88/1.05 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[416, 1596])).
% 0.88/1.05 tff(1598,plain,
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% 0.88/1.05 inference(unit_resolution,[status(thm)],[427, 1596])).
% 0.88/1.05 tff(1599,plain,
% 0.88/1.05 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[1424, 1])).
% 0.88/1.05 tff(1600,plain,
% 0.88/1.05 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[418, 237, 495])).
% 0.88/1.05 tff(1601,plain,
% 0.88/1.05 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[12, 237, 1462])).
% 0.88/1.05 tff(1602,plain,
% 0.88/1.05 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[492, 1601])).
% 0.88/1.05 tff(1603,plain,
% 0.88/1.05 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[626, 1121, 539])).
% 0.88/1.05 tff(1604,plain,
% 0.88/1.05 (r(X!6) | ![Y: $i] : s(Y)),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[608, 1603])).
% 0.88/1.05 tff(1605,plain,
% 0.88/1.05 ((~s(Y!7)) | ![X: $i] : (~r(X))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[552, 1603])).
% 0.88/1.05 tff(1606,plain,
% 0.88/1.05 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[642, 1605, 1604])).
% 0.88/1.05 tff(1607,plain,
% 0.88/1.05 (![Y: $i] : (q(X!4) <=> q(Y))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[423, 1606, 488])).
% 0.88/1.05 tff(1608,plain,
% 0.88/1.05 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[560, 1606, 538])).
% 0.88/1.05 tff(1609,plain,
% 0.88/1.05 ($false),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[589, 1608, 1607])).
% 0.88/1.05 tff(1610,plain,(((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))) | (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.05 tff(1611,plain,
% 0.88/1.05 ($false),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[1610, 1602, 1600, 539])).
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% 0.88/1.05 tff(1613,plain,
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% 0.88/1.05 inference(unit_resolution,[status(thm)],[1612, 3, 495, 539])).
% 0.88/1.05 tff(1614,plain,
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% 0.88/1.05 inference(unit_resolution,[status(thm)],[665, 1613, 489])).
% 0.88/1.05 tff(1615,plain,
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% 0.88/1.06 inference(unit_resolution,[status(thm)],[431, 1614])).
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% 0.88/1.06 inference(unit_resolution,[status(thm)],[1426, 1615, 1599])).
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% 0.88/1.06 inference(unit_resolution,[status(thm)],[429, 1615, 1617])).
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% 0.88/1.06 inference(unit_resolution,[status(thm)],[492, 1618])).
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% 0.88/1.06 inference(unit_resolution,[status(thm)],[1610, 1619, 1616, 539])).
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$i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.06 tff(1622,plain,
% 0.88/1.06 ($false),
% 0.88/1.06 inference(unit_resolution,[status(thm)],[1621, 1598, 1597, 539, 489, 1])).
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% 0.88/1.07 inference(unit_resolution,[status(thm)],[1623, 1, 236, 1595])).
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% 0.88/1.07 tff(1628,plain,
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% 0.88/1.07 (((~s(Y!7)) | ![X: $i] : (~r(X))) | s(Y!7)),
% 0.88/1.07 inference(tautology,[status(thm)],[])).
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% 0.88/1.07 inference(unit_resolution,[status(thm)],[1630, 1629])).
% 0.88/1.07 tff(1632,plain,
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% 0.88/1.07 inference(unit_resolution,[status(thm)],[284, 1270])).
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% 0.88/1.07 inference(unit_resolution,[status(thm)],[421, 1640])).
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% 0.88/1.07 inference(unit_resolution,[status(thm)],[423, 1651, 1650])).
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% 0.88/1.07 tff(1655,plain,
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% 0.88/1.07 tff(1656,plain,
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% 0.88/1.08 tff(1658,plain,
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% 0.88/1.08 inference(unit_resolution,[status(thm)],[1657, 1637, 1261, 489, 542, 1597, 1598, 539])).
% 0.88/1.08 tff(1659,plain,
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% 0.88/1.08 inference(unit_resolution,[status(thm)],[1612, 1658, 1597, 539])).
% 0.88/1.08 tff(1660,plain,
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% 0.88/1.08 inference(unit_resolution,[status(thm)],[540, 1659])).
% 0.88/1.08 tff(1661,plain,
% 0.88/1.08 (![Y: $i] : (r(X!8) <=> r(Y))),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[546, 1660, 542])).
% 0.88/1.08 tff(1662,plain,
% 0.88/1.08 (r(X!8) <=> r(Y!3)),
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% 0.88/1.08 tff(1663,plain,
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% 0.88/1.08 inference(unit_resolution,[status(thm)],[1436, 1661])).
% 0.88/1.08 tff(1664,assumption,(~r(Y!3)), introduced(assumption)).
% 0.88/1.08 tff(1665,plain,
% 0.88/1.08 (q(X!2) | (~r(Y!3))),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[792, 1664])).
% 0.88/1.08 tff(1666,plain,
% 0.88/1.08 (~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[292, 240, 1271])).
% 0.88/1.08 tff(1667,plain,
% 0.88/1.08 ((~r(Y!3)) | ![X: $i] : (~q(X))),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[253, 1666])).
% 0.88/1.08 tff(1668,assumption,(r(X!8) <=> r(X!6)), introduced(assumption)).
% 0.88/1.08 tff(1669,assumption,(r(X!8) <=> r(Y!3)), introduced(assumption)).
% 0.88/1.08 tff(1670,plain,
% 0.88/1.08 (~r(X!8)),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[1502, 1664, 1669])).
% 0.88/1.08 tff(1671,plain,
% 0.88/1.08 (~r(X!6)),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[520, 1670, 1668])).
% 0.88/1.08 tff(1672,plain,
% 0.88/1.08 (~(r(X!6) | ![Y: $i] : s(Y))),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[602, 1671, 595])).
% 0.88/1.08 tff(1673,plain,
% 0.88/1.08 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 0.88/1.08 inference(unit_resolution,[status(thm)],[608, 1672])).
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% 0.95/1.08 inference(unit_resolution,[status(thm)],[1683, 1658, 1634])).
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% 0.95/1.09 inference(tautology,[status(thm)],[])).
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% 0.95/1.09 inference(unit_resolution,[status(thm)],[1685, 1684])).
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% 0.95/1.09 inference(unit_resolution,[status(thm)],[429, 1686, 1598])).
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% 0.95/1.09 inference(unit_resolution,[status(thm)],[492, 1687])).
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% 0.95/1.09 inference(unit_resolution,[status(thm)],[1694, 109, 630, 108, 381, 1258, 539, 595, 542, 489])).
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% 0.95/1.09 inference(unit_resolution,[status(thm)],[414, 241])).
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% 0.95/1.10 inference(unit_resolution,[status(thm)],[414, 1695])).
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% 0.95/1.11 inference(unit_resolution,[status(thm)],[1119, 1756, 489, 491])).
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% 0.95/1.11 inference(unit_resolution,[status(thm)],[431, 1757])).
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% 0.95/1.11 inference(unit_resolution,[status(thm)],[1426, 1758, 1700])).
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% 0.95/1.11 inference(unit_resolution,[status(thm)],[1424, 1759])).
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% 0.95/1.11 inference(unit_resolution,[status(thm)],[414, 1760])).
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% 0.95/1.12 inference(unit_resolution,[status(thm)],[416, 1761])).
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% 0.95/1.12 inference(unit_resolution,[status(thm)],[1612, 1762, 1752, 539])).
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% 0.95/1.12 inference(unit_resolution,[status(thm)],[540, 1763])).
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% 0.95/1.12 inference(unit_resolution,[status(thm)],[245, 1760, 1765])).
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% 0.95/1.12 tff(1772,plain,
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% 0.95/1.12 inference(unit_resolution,[status(thm)],[272, 1750])).
% 0.95/1.12 tff(1774,plain,
% 0.95/1.12 (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 0.95/1.12 inference(unit_resolution,[status(thm)],[12, 11, 237])).
% 0.95/1.12 tff(1775,plain,
% 0.95/1.12 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 0.95/1.12 inference(unit_resolution,[status(thm)],[2, 1774])).
% 0.95/1.12 tff(1776,assumption,((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))), introduced(assumption)).
% 0.95/1.12 tff(1777,plain,
% 0.95/1.12 (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 0.95/1.12 inference(unit_resolution,[status(thm)],[429, 11, 1776])).
% 0.95/1.12 tff(1778,plain,
% 0.95/1.12 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[427, 1777])).
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: q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[281, 1778, 1775])).
% 0.95/1.13 tff(1782,plain,
% 0.95/1.13 (![Y: $i] : (p(X!1) <=> p(Y))),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[359, 1781])).
% 0.95/1.13 tff(1783,plain,
% 0.95/1.13 (~p(X!14)),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[387, 363, 381])).
% 0.95/1.13 tff(1784,plain,
% 0.95/1.13 (p(X!1)),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[715, 368, 389])).
% 0.95/1.13 tff(1785,plain,
% 0.95/1.13 ($false),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[402, 1784, 373, 1783])).
% 0.95/1.13 tff(1786,plain,((~![Y: $i] : (p(X!1) <=> p(Y))) | (~p(tptp_fun_Y_0(Y!11))) | p(Y!11)), inference(lemma,lemma(discharge,[]))).
% 0.95/1.13 tff(1787,plain,
% 0.95/1.13 (~p(tptp_fun_Y_0(Y!11))),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[1786, 1782, 381])).
% 0.95/1.13 tff(1788,plain,
% 0.95/1.13 ($false),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[1268, 1787, 1780, 381])).
% 0.95/1.13 tff(1789,plain,((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | p(Y!11) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 0.95/1.13 tff(1790,plain,
% 0.95/1.13 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[1789, 1639, 381, 11])).
% 0.95/1.13 tff(1791,plain,
% 0.95/1.13 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 0.95/1.13 inference(unit_resolution,[status(thm)],[431, 1790])).
% 0.95/1.13 tff(1792,plain,
% 0.95/1.13 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
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% 0.95/1.14 inference(unit_resolution,[status(thm)],[249, 1748])).
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% 0.95/1.14 inference(unit_resolution,[status(thm)],[431, 1810])).
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% 0.95/1.15 inference(unit_resolution,[status(thm)],[414, 1813])).
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% 0.95/1.15 inference(unit_resolution,[status(thm)],[520, 1827, 1817, 1807])).
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% 0.95/1.17 inference(unit_resolution,[status(thm)],[359, 1896])).
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% 0.95/1.17 inference(unit_resolution,[status(thm)],[243, 1897])).
% 0.95/1.17 tff(1899,plain,
% 0.95/1.17 (~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))),
% 0.95/1.17 inference(unit_resolution,[status(thm)],[245, 1898, 240])).
% 0.95/1.17 tff(1900,plain,
% 1.04/1.17 (q(X!2) | (~r(Y!3))),
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% 1.04/1.17 inference(unit_resolution,[status(thm)],[274, 1900, 1137])).
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% 1.04/1.17 inference(unit_resolution,[status(thm)],[110, 1902, 109])).
% 1.04/1.17 tff(1904,plain,
% 1.04/1.17 ((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[106, 1903])).
% 1.04/1.17 tff(1905,plain,
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% 1.04/1.17 inference(unit_resolution,[status(thm)],[48, 1904, 38])).
% 1.04/1.17 tff(1906,plain,
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% 1.04/1.17 inference(unit_resolution,[status(thm)],[1487, 1905, 59])).
% 1.04/1.17 tff(1907,plain,
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% 1.04/1.17 inference(unit_resolution,[status(thm)],[550, 1906, 234])).
% 1.04/1.17 tff(1908,plain,
% 1.04/1.17 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[552, 1907])).
% 1.04/1.17 tff(1909,plain,
% 1.04/1.17 (![Y: $i] : (q(X!4) <=> q(Y))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[554, 1908, 539])).
% 1.04/1.17 tff(1910,plain,
% 1.04/1.17 (q(X!4) <=> q(X!2)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[1228, 1909])).
% 1.04/1.17 tff(1911,plain,
% 1.04/1.17 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[1011, 1905])).
% 1.04/1.17 tff(1912,plain,
% 1.04/1.17 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[149, 1911, 59, 39])).
% 1.04/1.17 tff(1913,plain,
% 1.04/1.17 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[102, 1912])).
% 1.04/1.17 tff(1914,plain,
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% 1.04/1.17 inference(unit_resolution,[status(thm)],[124, 1913, 1902])).
% 1.04/1.17 tff(1915,plain,
% 1.04/1.17 (q(X!4) <=> q(Y!15)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[816, 1909])).
% 1.04/1.17 tff(1916,plain,
% 1.04/1.17 (~q(X!4)),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[570, 1915, 1914])).
% 1.04/1.17 tff(1917,plain,
% 1.04/1.17 ($false),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[825, 1916, 1910, 1901])).
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% 1.04/1.17 tff(1919,plain,
% 1.04/1.17 (~p(tptp_fun_Y_0(Y!11))),
% 1.04/1.17 inference(unit_resolution,[status(thm)],[1918, 109, 1137, 234, 1844, 1833, 240, 1843, 1595, 381])).
% 1.04/1.17 tff(1920,plain,
% 1.04/1.17 (~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))),
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% 1.04/1.18 inference(unit_resolution,[status(thm)],[807, 1924, 1927])).
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% 1.04/1.18 inference(unit_resolution,[status(thm)],[245, 1928, 240])).
% 1.04/1.18 tff(1930,plain,
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% 1.04/1.18 inference(unit_resolution,[status(thm)],[243, 1929])).
% 1.04/1.18 tff(1931,plain,
% 1.04/1.18 (![Y: $i] : (p(X!1) <=> p(Y))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[359, 1930])).
% 1.04/1.18 tff(1932,plain,
% 1.04/1.18 (~p(X!14)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[387, 1931, 381])).
% 1.04/1.18 tff(1933,plain,
% 1.04/1.18 (~(p(X!14) | ![Y: $i] : q(Y))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[112, 1932, 109])).
% 1.04/1.18 tff(1934,plain,
% 1.04/1.18 ((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[100, 1933])).
% 1.04/1.18 tff(1935,plain,
% 1.04/1.18 (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[149, 1934, 1844, 1833])).
% 1.04/1.18 tff(1936,plain,
% 1.04/1.18 (~![Y: $i] : (s(X!12) <=> s(Y))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[1011, 1935])).
% 1.04/1.18 tff(1937,plain,
% 1.04/1.18 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[48, 1936, 1843])).
% 1.04/1.18 tff(1938,plain,
% 1.04/1.18 (p(X!14) | (~q(Y!15))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[126, 1937])).
% 1.04/1.18 tff(1939,plain,
% 1.04/1.18 (~q(Y!15)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[128, 1938, 1932])).
% 1.04/1.18 tff(1940,plain,
% 1.04/1.18 (~s(tptp_fun_Y_13(X!10))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[1361, 1934, 1333, 16, 1331])).
% 1.04/1.18 tff(1941,plain,
% 1.04/1.18 (~![Y: $i] : s(Y)),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[484, 1940])).
% 1.04/1.18 tff(1942,plain,
% 1.04/1.18 (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[478, 1941, 234])).
% 1.04/1.18 tff(1943,plain,
% 1.04/1.18 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[425, 1942])).
% 1.04/1.18 tff(1944,plain,
% 1.04/1.18 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[560, 1943, 538])).
% 1.04/1.18 tff(1945,plain,
% 1.04/1.18 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[456, 1944])).
% 1.04/1.18 tff(1946,plain,
% 1.04/1.18 ($false),
% 1.04/1.18 inference(unit_resolution,[status(thm)],[574, 1945, 1939, 1926])).
% 1.04/1.18 tff(1947,plain,(![Y: $i] : q(Y) | (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ![X: $i] : (~r(X)) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) | p(Y!11) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))) | (~r(Y!3))), inference(lemma,lemma(discharge,[]))).
% 1.04/1.19 tff(1948,plain,
% 1.04/1.19 (![Y: $i] : q(Y)),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[1947, 1895, 538, 16, 381, 1836, 1894])).
% 1.04/1.19 tff(1949,plain,
% 1.04/1.19 (q(X!2)),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[444, 1948])).
% 1.04/1.19 tff(1950,plain,
% 1.04/1.19 (~![X: $i] : (~q(X))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[272, 1949])).
% 1.04/1.19 tff(1951,plain,
% 1.04/1.19 (~((~r(Y!3)) | ![X: $i] : (~q(X)))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[259, 1950, 1894])).
% 1.04/1.19 tff(1952,plain,
% 1.04/1.19 ((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[253, 1951])).
% 1.04/1.19 tff(1953,plain,
% 1.04/1.19 (~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[292, 1952, 1836])).
% 1.04/1.19 tff(1954,plain,
% 1.04/1.19 ((~((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | 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((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[290, 1953])).
% 1.04/1.19 tff(1955,plain,
% 1.04/1.19 (![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[339, 1954])).
% 1.04/1.19 tff(1956,plain,
% 1.04/1.19 (p(tptp_fun_Y_0(Y!11))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[1268, 1955, 381])).
% 1.04/1.19 tff(1957,plain,
% 1.04/1.19 (q(Y!15)),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[122, 1948])).
% 1.04/1.19 tff(1958,plain,
% 1.04/1.19 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[451, 1948])).
% 1.04/1.19 tff(1959,plain,
% 1.04/1.19 (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[560, 1958, 538])).
% 1.04/1.19 tff(1960,plain,
% 1.04/1.19 (![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[425, 1959])).
% 1.04/1.19 tff(1961,plain,
% 1.04/1.19 (![Y: $i] : s(Y)),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[478, 1960, 1895])).
% 1.04/1.19 tff(1962,plain,
% 1.04/1.19 (s(tptp_fun_Y_13(X!10))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[484, 1961])).
% 1.04/1.19 tff(1963,plain,
% 1.04/1.19 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[1347, 1962, 1830, 26, 1331, 23])).
% 1.04/1.19 tff(1964,plain,
% 1.04/1.19 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[102, 1963])).
% 1.04/1.19 tff(1965,plain,
% 1.04/1.19 (![X: $i] : (~p(X))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[124, 1964, 1957])).
% 1.04/1.19 tff(1966,plain,
% 1.04/1.19 ($false),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[1098, 1965, 1956])).
% 1.04/1.19 tff(1967,plain,((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | p(Y!11) | (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | 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| (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.04/1.19 tff(1968,plain,
% 1.04/1.19 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[1967, 493, 381, 16, 1835, 1752])).
% 1.04/1.19 tff(1969,plain,
% 1.04/1.19 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[416, 1968])).
% 1.04/1.20 tff(1970,plain,
% 1.04/1.20 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1610, 493, 1595])).
% 1.04/1.20 tff(1971,plain,
% 1.04/1.20 (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[414, 1969])).
% 1.04/1.20 tff(1972,plain,
% 1.04/1.20 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1424, 1971])).
% 1.04/1.20 tff(1973,plain,
% 1.04/1.20 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1426, 1972, 1970])).
% 1.04/1.20 tff(1974,plain,
% 1.04/1.20 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[431, 1973])).
% 1.04/1.20 tff(1975,plain,
% 1.04/1.20 (r(X!6)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[769, 1974, 236, 1830])).
% 1.04/1.20 tff(1976,plain,
% 1.04/1.20 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[460, 1974, 233])).
% 1.04/1.20 tff(1977,plain,
% 1.04/1.20 (~![Y: $i] : r(Y)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1327, 1976, 1975])).
% 1.04/1.20 tff(1978,plain,
% 1.04/1.20 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1610, 538, 539])).
% 1.04/1.20 tff(1979,plain,
% 1.04/1.20 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1426, 1699, 1978])).
% 1.04/1.20 tff(1980,plain,
% 1.04/1.20 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[431, 1979])).
% 1.04/1.20 tff(1981,plain,
% 1.04/1.20 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[460, 1980, 542])).
% 1.04/1.20 tff(1982,plain,
% 1.04/1.20 (~![X: $i] : (~r(X))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[476, 1981])).
% 1.04/1.20 tff(1983,plain,
% 1.04/1.20 (s(X!10)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1478, 667, 30, 1331])).
% 1.04/1.20 tff(1984,plain,
% 1.04/1.20 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[28, 1342])).
% 1.04/1.20 tff(1985,plain,
% 1.04/1.20 (r(X!6)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[769, 1980, 489, 667])).
% 1.04/1.20 tff(1986,plain,
% 1.04/1.20 ((r(X!6) | (~s(Y!7))) | (~r(X!6))),
% 1.04/1.20 inference(tautology,[status(thm)],[])).
% 1.04/1.20 tff(1987,plain,
% 1.04/1.20 (r(X!6) | (~s(Y!7))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1986, 1985])).
% 1.04/1.20 tff(1988,plain,
% 1.04/1.20 (~s(Y!7)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[550, 630, 234])).
% 1.04/1.20 tff(1989,plain,
% 1.04/1.20 (~![Y: $i] : (s(X!12) <=> s(Y))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1487, 1988, 59])).
% 1.04/1.20 tff(1990,plain,
% 1.04/1.20 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[48, 1989, 38])).
% 1.04/1.20 tff(1991,plain,
% 1.04/1.20 (p(X!14) | (~q(Y!15))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[126, 1990])).
% 1.04/1.20 tff(1992,plain,
% 1.04/1.20 (![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[106, 1990])).
% 1.04/1.20 tff(1993,plain,
% 1.04/1.20 ($false),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1742, 1992, 1991, 542, 489, 539, 109, 381, 595, 630])).
% 1.04/1.20 tff(1994,plain,((~((~s(Y!7)) | ![X: $i] : (~r(X)))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))) | ![Y: $i] : q(Y) | p(Y!11) | (~(r(X!6) | (~s(Y!7)))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~s(X!10)) | ![X: $i] : (~r(X))), inference(lemma,lemma(discharge,[]))).
% 1.04/1.20 tff(1995,plain,
% 1.04/1.20 (~((~s(Y!7)) | ![X: $i] : (~r(X)))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1994, 109, 489, 539, 542, 381, 1987, 1984, 1983, 1982])).
% 1.04/1.20 tff(1996,plain,
% 1.04/1.20 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[552, 1995])).
% 1.04/1.20 tff(1997,plain,
% 1.04/1.20 (![Y: $i] : (q(X!4) <=> q(Y))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[554, 1996, 539])).
% 1.04/1.20 tff(1998,plain,
% 1.04/1.20 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[589, 1997])).
% 1.04/1.20 tff(1999,plain,
% 1.04/1.20 (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[560, 1998, 538])).
% 1.04/1.20 tff(2000,plain,
% 1.04/1.20 (![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[425, 1999])).
% 1.04/1.20 tff(2001,plain,
% 1.04/1.20 (![Y: $i] : s(Y)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[478, 2000, 1982])).
% 1.04/1.20 tff(2002,plain,
% 1.04/1.20 (s(tptp_fun_Y_13(X!10))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[484, 2001])).
% 1.04/1.20 tff(2003,plain,
% 1.04/1.20 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[1347, 2002, 667, 30, 1331, 1341])).
% 1.04/1.20 tff(2004,plain,
% 1.04/1.20 (p(X!14) | ![Y: $i] : q(Y)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[100, 2003])).
% 1.04/1.20 tff(2005,plain,
% 1.04/1.20 (p(X!14)),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[112, 2004, 109])).
% 1.04/1.20 tff(2006,plain,
% 1.04/1.20 (~![Y: $i] : (p(X!1) <=> p(Y))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[387, 2005, 381])).
% 1.04/1.20 tff(2007,plain,
% 1.04/1.20 (~((~((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : 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: q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[359, 2006])).
% 1.04/1.20 tff(2008,plain,
% 1.04/1.20 ((~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[249, 2007])).
% 1.08/1.20 tff(2009,plain,
% 1.08/1.20 (~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[251, 2008, 241])).
% 1.08/1.20 tff(2010,plain,
% 1.08/1.20 (~![Y: $i] : r(Y)),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[1327, 1981, 1985])).
% 1.08/1.20 tff(2011,plain,
% 1.08/1.20 (q(X!4) <=> q(X!2)),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[1228, 1997])).
% 1.08/1.20 tff(2012,plain,
% 1.08/1.20 (q(X!4) <=> q(Y!15)),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[816, 1997])).
% 1.08/1.20 tff(2013,plain,
% 1.08/1.20 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[102, 2003])).
% 1.08/1.20 tff(2014,plain,
% 1.08/1.20 (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[116, 2004, 109])).
% 1.08/1.20 tff(2015,plain,
% 1.08/1.20 (~![X: $i] : (~p(X))),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[1154, 2014])).
% 1.08/1.20 tff(2016,plain,
% 1.08/1.20 (~q(Y!15)),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[124, 2015, 2013])).
% 1.08/1.20 tff(2017,plain,
% 1.08/1.20 (~q(X!4)),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[570, 2016, 2012])).
% 1.08/1.20 tff(2018,plain,
% 1.08/1.20 (~q(X!2)),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[825, 2017, 2011])).
% 1.08/1.20 tff(2019,plain,
% 1.08/1.20 (~(q(X!2) | ![Y: $i] : r(Y))),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[278, 2018, 2010])).
% 1.08/1.20 tff(2020,plain,
% 1.08/1.20 ($false),
% 1.08/1.20 inference(unit_resolution,[status(thm)],[276, 2019, 2009])).
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(~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> 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% 1.08/1.21 tff(2022,plain,
% 1.08/1.21 (![Y: $i] : q(Y)),
% 1.08/1.21 inference(unit_resolution,[status(thm)],[2021, 1969, 381, 1830, 26, 23, 493, 1595, 236, 233])).
% 1.08/1.21 tff(2023,plain,
% 1.08/1.21 (q(X!2)),
% 1.08/1.21 inference(unit_resolution,[status(thm)],[444, 2022])).
% 1.08/1.21 tff(2024,plain,
% 1.08/1.21 (~![X: $i] : (~q(X))),
% 1.08/1.21 inference(unit_resolution,[status(thm)],[272, 2023])).
% 1.08/1.21 tff(2025,plain,
% 1.08/1.21 (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))),
% 1.08/1.21 inference(unit_resolution,[status(thm)],[262, 2024, 1977])).
% 1.08/1.21 tff(2026,plain,
% 1.08/1.21 ((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y)))),
% 1.08/1.21 inference(unit_resolution,[status(thm)],[255, 2025])).
% 1.08/1.21 tff(2027,plain,
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% 1.08/1.21 inference(unit_resolution,[status(thm)],[286, 2026, 1969])).
% 1.08/1.21 tff(2028,plain,
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% 1.08/1.22 inference(tautology,[status(thm)],[])).
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% 1.08/1.22 inference(unit_resolution,[status(thm)],[2065, 13])).
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% 1.08/1.22 inference(unit_resolution,[status(thm)],[251, 2079, 2068])).
% 1.08/1.22 tff(2081,plain,
% 1.08/1.22 ($false),
% 1.08/1.22 inference(unit_resolution,[status(thm)],[249, 2080, 2064])).
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(~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.08/1.23 tff(2083,plain,
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% 1.08/1.23 inference(unit_resolution,[status(thm)],[2082, 109, 381, 39, 539, 542, 38, 59, 489, 11])).
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% 1.10/1.24 tff(2120,plain,
% 1.10/1.24 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.10/1.24 inference(unit_resolution,[status(thm)],[2119, 234, 2101, 38, 258, 59, 381, 539, 489, 542, 11])).
% 1.10/1.24 tff(2121,plain,
% 1.10/1.24 (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))),
% 1.10/1.25 inference(unit_resolution,[status(thm)],[414, 2120])).
% 1.10/1.25 tff(2122,plain,
% 1.10/1.25 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.10/1.25 inference(unit_resolution,[status(thm)],[416, 2121])).
% 1.10/1.25 tff(2123,plain,
% 1.10/1.25 ((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.10/1.25 inference(unit_resolution,[status(thm)],[427, 2121])).
% 1.10/1.25 tff(2124,plain,
% 1.10/1.25 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.10/1.25 inference(unit_resolution,[status(thm)],[429, 2123, 11])).
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% 1.10/1.26 inference(unit_resolution,[status(thm)],[431, 2145])).
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% 1.10/1.26 inference(unit_resolution,[status(thm)],[429, 2146, 2043])).
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% 1.10/1.26 inference(unit_resolution,[status(thm)],[427, 2147])).
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% 1.10/1.27 tff(2205,plain,
% 1.10/1.27 (r(X!6)),
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% 1.10/1.27 tff(2210,plain,
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% 1.10/1.27 inference(tautology,[status(thm)],[])).
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% 1.10/1.27 inference(unit_resolution,[status(thm)],[2211, 487])).
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% 1.10/1.27 inference(unit_resolution,[status(thm)],[1612, 2212, 1462, 539])).
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% 1.10/1.27 inference(unit_resolution,[status(thm)],[540, 2213])).
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% 1.10/1.28 tff(2224,plain,
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% 1.10/1.28 inference(unit_resolution,[status(thm)],[1502, 2224, 2222, 2216])).
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% 1.10/1.28 tff(2227,plain,
% 1.10/1.28 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[2226, 2205, 2210, 233, 2189, 1462, 1595, 2209])).
% 1.10/1.28 tff(2228,plain,
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% 1.10/1.28 inference(unit_resolution,[status(thm)],[1426, 2227, 2197])).
% 1.10/1.28 tff(2229,plain,
% 1.10/1.28 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[431, 2228])).
% 1.10/1.28 tff(2230,plain,
% 1.10/1.28 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[460, 2229, 233])).
% 1.10/1.28 tff(2231,plain,
% 1.10/1.28 (~![Y: $i] : r(Y)),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[1327, 2230, 2205])).
% 1.10/1.28 tff(2232,plain,
% 1.10/1.28 (![X: $i] : (~q(X))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[262, 2231, 2196])).
% 1.10/1.28 tff(2233,plain,
% 1.10/1.28 (~q(tptp_fun_Y_5(Y!15))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[1073, 2232])).
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% 1.10/1.28 inference(unit_resolution,[status(thm)],[665, 2229, 236])).
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% 1.10/1.29 inference(unit_resolution,[status(thm)],[339, 2261])).
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% 1.10/1.29 inference(unit_resolution,[status(thm)],[431, 2273])).
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% 1.10/1.29 inference(unit_resolution,[status(thm)],[12, 2277, 1462])).
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% 1.10/1.29 inference(unit_resolution,[status(thm)],[12, 2291, 3])).
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% 1.10/1.29 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[492, 2292])).
% 1.10/1.29 tff(2294,plain,
% 1.10/1.29 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[560, 2293, 2270])).
% 1.10/1.29 tff(2295,plain,
% 1.10/1.29 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[456, 2294])).
% 1.10/1.29 tff(2296,plain,
% 1.10/1.29 ($false),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[574, 2295, 2290, 2258])).
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% 1.10/1.30 tff(2298,plain,
% 1.10/1.30 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[2297, 234, 109, 16])).
% 1.10/1.30 tff(2299,plain,
% 1.10/1.30 (~![X: $i] : (~s(X))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1383, 1332, 16])).
% 1.10/1.30 tff(2300,plain,
% 1.10/1.30 (~((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[73, 2299, 2172])).
% 1.10/1.30 tff(2301,plain,
% 1.10/1.30 ((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[160, 2300])).
% 1.10/1.30 tff(2302,plain,
% 1.10/1.30 (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[158, 2301, 26])).
% 1.10/1.30 tff(2303,plain,
% 1.10/1.30 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[692, 2302])).
% 1.10/1.30 tff(2304,plain,
% 1.10/1.30 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[214, 2303, 26])).
% 1.10/1.30 tff(2305,plain,
% 1.10/1.30 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1406, 2304, 16, 2172, 109, 2303])).
% 1.10/1.30 tff(2306,plain,
% 1.10/1.30 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[195, 2305])).
% 1.10/1.30 tff(2307,plain,
% 1.10/1.30 (~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[216, 2304, 23])).
% 1.10/1.30 tff(2308,plain,
% 1.10/1.30 (s(X!10) | (~p(Y!11))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[34, 2307])).
% 1.10/1.30 tff(2309,plain,
% 1.10/1.30 (s(X!10)),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[83, 2308, 2172])).
% 1.10/1.30 tff(2310,plain,
% 1.10/1.30 ($false),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[89, 2309, 2306, 1332])).
% 1.10/1.30 tff(2311,plain,((~s(tptp_fun_Y_13(X!10))) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))) | ![Y: $i] : q(Y)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.30 tff(2312,plain,
% 1.10/1.30 (~s(tptp_fun_Y_13(X!10))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[2311, 109, 16])).
% 1.10/1.30 tff(2313,plain,
% 1.10/1.30 (~![Y: $i] : s(Y)),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[484, 2312])).
% 1.10/1.30 tff(2314,plain,
% 1.10/1.30 (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[478, 234, 2313])).
% 1.10/1.30 tff(2315,plain,
% 1.10/1.30 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[425, 2314])).
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% 1.10/1.30 inference(unit_resolution,[status(thm)],[414, 2298])).
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% 1.10/1.30 inference(unit_resolution,[status(thm)],[427, 2316])).
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% 1.10/1.30 inference(unit_resolution,[status(thm)],[416, 2316])).
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% 1.10/1.30 inference(tautology,[status(thm)],[])).
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% 1.10/1.32 inference(unit_resolution,[status(thm)],[2384, 234, 16, 109])).
% 1.10/1.32 tff(2386,plain,
% 1.10/1.32 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[418, 2385, 2318])).
% 1.19/1.32 tff(2387,plain,
% 1.19/1.32 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[665, 2386, 236])).
% 1.19/1.32 tff(2388,plain,
% 1.19/1.32 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[431, 2387])).
% 1.19/1.32 tff(2389,plain,
% 1.19/1.32 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[429, 2388, 2317])).
% 1.19/1.32 tff(2390,plain,
% 1.19/1.32 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[492, 2389])).
% 1.19/1.32 tff(2391,plain,
% 1.19/1.32 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[560, 2390, 2315])).
% 1.19/1.32 tff(2392,plain,
% 1.19/1.32 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[1020, 2391])).
% 1.19/1.32 tff(2393,plain,
% 1.19/1.32 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[626, 2392, 1595])).
% 1.19/1.32 tff(2394,plain,
% 1.19/1.32 ((~s(Y!7)) | ![X: $i] : (~r(X))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[552, 2393])).
% 1.19/1.32 tff(2395,plain,
% 1.19/1.32 (~s(Y!7)),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[550, 2394, 234])).
% 1.19/1.32 tff(2396,plain,
% 1.19/1.32 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[456, 2391])).
% 1.19/1.32 tff(2397,plain,
% 1.19/1.32 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[540, 2386])).
% 1.19/1.32 tff(2398,plain,
% 1.19/1.32 (![Y: $i] : (r(X!8) <=> r(Y))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[546, 2397, 233])).
% 1.19/1.32 tff(2399,plain,
% 1.19/1.32 (r(X!8) <=> r(Y!3)),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[780, 2398])).
% 1.19/1.32 tff(2400,plain,
% 1.19/1.32 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[434, 2199])).
% 1.19/1.32 tff(2401,plain,
% 1.19/1.32 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[418, 2400, 495])).
% 1.19/1.32 tff(2402,plain,
% 1.19/1.32 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[665, 2401, 489])).
% 1.19/1.32 tff(2403,plain,
% 1.19/1.32 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[682, 490, 234])).
% 1.19/1.32 tff(2404,plain,
% 1.19/1.32 (![Y: $i] : (q(X!4) <=> q(Y))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[554, 2198, 539])).
% 1.19/1.32 tff(2405,plain,
% 1.19/1.32 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[589, 2404])).
% 1.19/1.32 tff(2406,plain,
% 1.19/1.32 (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[560, 2405, 2403])).
% 1.19/1.32 tff(2407,plain,
% 1.19/1.32 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[492, 2406])).
% 1.19/1.32 tff(2408,plain,
% 1.19/1.32 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[429, 2407, 1617])).
% 1.19/1.32 tff(2409,plain,
% 1.19/1.32 ($false),
% 1.19/1.32 inference(unit_resolution,[status(thm)],[431, 2408, 2402])).
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% 1.19/1.33 inference(unit_resolution,[status(thm)],[339, 2441])).
% 1.19/1.33 tff(2443,plain,
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% 1.19/1.34 inference(unit_resolution,[status(thm)],[290, 2442])).
% 1.19/1.34 tff(2444,plain,
% 1.19/1.34 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[102, 2432])).
% 1.19/1.34 tff(2445,plain,
% 1.19/1.34 (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[116, 2433, 109])).
% 1.19/1.34 tff(2446,plain,
% 1.19/1.34 (~![X: $i] : (~p(X))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[1154, 2445])).
% 1.19/1.34 tff(2447,plain,
% 1.19/1.34 (~q(Y!15)),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[124, 2446, 2444])).
% 1.19/1.34 tff(2448,plain,
% 1.19/1.34 (q(tptp_fun_Y_5(Y!15))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[574, 2447, 2396])).
% 1.19/1.34 tff(2449,plain,
% 1.19/1.34 (~![X: $i] : (~q(X))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[1073, 2448])).
% 1.19/1.34 tff(2450,plain,
% 1.19/1.34 (~((~r(Y!3)) | ![X: $i] : (~q(X)))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[259, 2449, 2414])).
% 1.19/1.34 tff(2451,plain,
% 1.19/1.34 ((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[253, 2450])).
% 1.19/1.34 tff(2452,plain,
% 1.19/1.34 ($false),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[292, 2451, 2443, 2298])).
% 1.19/1.34 tff(2453,plain,(![X: $i] : (~r(X)) | ![Y: $i] : q(Y) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.34 tff(2454,plain,
% 1.19/1.34 (![X: $i] : (~r(X))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[2453, 109, 16])).
% 1.19/1.34 tff(2455,plain,
% 1.19/1.34 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[476, 2454])).
% 1.19/1.34 tff(2456,plain,
% 1.19/1.34 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[460, 2455, 233])).
% 1.19/1.34 tff(2457,plain,
% 1.19/1.34 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[431, 2456])).
% 1.19/1.34 tff(2458,plain,
% 1.19/1.34 (~r(X!6)),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[636, 2454])).
% 1.19/1.34 tff(2459,plain,
% 1.19/1.34 (~(r(X!6) | ![Y: $i] : s(Y))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[598, 2458, 2313])).
% 1.19/1.34 tff(2460,plain,
% 1.19/1.34 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[608, 2459])).
% 1.19/1.34 tff(2461,plain,
% 1.19/1.34 (~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[626, 2460, 1595])).
% 1.19/1.34 tff(2462,plain,
% 1.19/1.34 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
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% 1.19/1.34 inference(unit_resolution,[status(thm)],[416, 2467])).
% 1.19/1.34 tff(2477,plain,
% 1.19/1.34 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[418, 2476, 2462])).
% 1.19/1.34 tff(2478,plain,
% 1.19/1.34 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[540, 2477])).
% 1.19/1.34 tff(2479,plain,
% 1.19/1.34 (![Y: $i] : (r(X!8) <=> r(Y))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[546, 2478, 233])).
% 1.19/1.34 tff(2480,plain,
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% 1.19/1.34 inference(unit_resolution,[status(thm)],[1141, 2479, 2458])).
% 1.19/1.34 tff(2481,plain,
% 1.19/1.34 (q(X!2) | (~r(Y!3))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[792, 2480])).
% 1.19/1.34 tff(2482,plain,
% 1.19/1.34 ((~r(Y!3)) | ![X: $i] : (~q(X))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[790, 2480])).
% 1.19/1.34 tff(2483,plain,
% 1.19/1.34 (~![Y: $i] : r(Y)),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[1867, 2482, 2481])).
% 1.19/1.34 tff(2484,plain,
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% 1.19/1.34 tff(2486,plain,
% 1.19/1.34 (~(q(X!2) | ![Y: $i] : r(Y))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[278, 2485, 1329])).
% 1.19/1.34 tff(2487,plain,
% 1.19/1.34 ((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X))))),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[276, 2486])).
% 1.19/1.34 tff(2488,plain,
% 1.19/1.34 ($false),
% 1.19/1.34 inference(unit_resolution,[status(thm)],[292, 2487, 2415, 240])).
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% 1.19/1.35 tff(2490,plain,
% 1.19/1.35 (s(X!10)),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[2489, 2464, 2483, 2475, 2474, 109, 26, 23, 2312, 2172])).
% 1.19/1.35 tff(2491,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[1487, 2490, 2473])).
% 1.19/1.35 tff(2492,plain,
% 1.19/1.35 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[871, 2491, 16])).
% 1.19/1.35 tff(2493,plain,
% 1.19/1.35 ((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[981, 2492])).
% 1.19/1.35 tff(2494,plain,
% 1.19/1.35 ((~s(X!10)) <=> s(tptp_fun_Y_13(X!10))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[2358, 2490, 2312])).
% 1.19/1.35 tff(2495,plain,
% 1.19/1.35 (~![X: $i] : (~s(X))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[62, 2490])).
% 1.19/1.35 tff(2496,plain,
% 1.19/1.35 (~((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[73, 2495, 2172])).
% 1.19/1.35 tff(2497,plain,
% 1.19/1.35 ((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[160, 2496])).
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[158, 2497, 26])).
% 1.19/1.35 tff(2499,plain,
% 1.19/1.35 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[42, 2498])).
% 1.19/1.35 tff(2500,plain,
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% 1.19/1.35 tff(2501,plain,
% 1.19/1.35 (p(X!14) | ![Y: $i] : q(Y)),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[100, 2500])).
% 1.19/1.35 tff(2502,plain,
% 1.19/1.35 (p(X!14)),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[112, 2501, 109])).
% 1.19/1.35 tff(2503,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[692, 2498])).
% 1.19/1.35 tff(2504,plain,
% 1.19/1.35 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[214, 2503, 26])).
% 1.19/1.35 tff(2505,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[216, 2504, 23])).
% 1.19/1.35 tff(2506,plain,
% 1.19/1.35 (![X: $i] : (~s(X)) | ![Y: $i] : p(Y)),
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% 1.19/1.35 tff(2507,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[75, 2506, 2495])).
% 1.19/1.35 tff(2508,plain,
% 1.19/1.35 (p(tptp_fun_Y_0(X!14))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[956, 2507])).
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% 1.19/1.35 (~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[1311, 2508, 2502])).
% 1.19/1.35 tff(2510,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[339, 2509])).
% 1.19/1.35 tff(2511,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[290, 2510])).
% 1.19/1.35 tff(2512,plain,
% 1.19/1.35 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[102, 2500])).
% 1.19/1.35 tff(2513,plain,
% 1.19/1.35 (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[116, 2501, 109])).
% 1.19/1.35 tff(2514,plain,
% 1.19/1.35 (~![X: $i] : (~p(X))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[1154, 2513])).
% 1.19/1.35 tff(2515,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[124, 2514, 2512])).
% 1.19/1.35 tff(2516,plain,
% 1.19/1.35 (~q(X!4)),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[570, 2515, 2474])).
% 1.19/1.35 tff(2517,plain,
% 1.19/1.35 (~q(X!2)),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[825, 2516, 2475])).
% 1.19/1.35 tff(2518,plain,
% 1.19/1.35 (~(q(X!2) | ![Y: $i] : r(Y))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[278, 2517, 2483])).
% 1.19/1.35 tff(2519,plain,
% 1.19/1.35 ((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X))))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[276, 2518])).
% 1.19/1.35 tff(2520,plain,
% 1.19/1.35 ($false),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[292, 2519, 2511, 2464])).
% 1.19/1.35 tff(2521,plain,(![Y: $i] : q(Y) | ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.35 tff(2522,plain,
% 1.19/1.35 (![Y: $i] : q(Y)),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[2521, 16])).
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% 1.19/1.35 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[451, 2522])).
% 1.19/1.35 tff(2524,plain,
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% 1.19/1.35 inference(unit_resolution,[status(thm)],[122, 2522])).
% 1.19/1.35 tff(2525,plain,
% 1.19/1.35 ((~p(Y!11)) | ![X: $i] : (~s(X))),
% 1.19/1.35 inference(unit_resolution,[status(thm)],[160, 2336])).
% 1.19/1.35 tff(2526,plain,
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% 1.19/1.36 (q(X!2) | ![Y: $i] : r(Y)),
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% 1.19/1.36 inference(tautology,[status(thm)],[])).
% 1.19/1.36 tff(2563,plain,
% 1.19/1.36 ((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))),
% 1.19/1.36 inference(unit_resolution,[status(thm)],[2562, 1])).
% 1.19/1.36 tff(2564,assumption,((~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))) | (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))), introduced(assumption)).
% 1.19/1.36 tff(2565,plain,
% 1.19/1.36 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[1623, 1, 489, 539])).
% 1.19/1.37 tff(2566,plain,
% 1.19/1.37 (~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[286, 2565, 2564])).
% 1.19/1.37 tff(2567,plain,
% 1.19/1.37 (![X: $i] : (~q(X)) | ![Y: $i] : r(Y)),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[255, 2566])).
% 1.19/1.37 tff(2568,plain,
% 1.19/1.37 (![Y: $i] : r(Y)),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[262, 2567, 258])).
% 1.19/1.37 tff(2569,plain,
% 1.19/1.37 (~((~s(Y!7)) | ![X: $i] : (~r(X)))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[550, 234, 549])).
% 1.19/1.37 tff(2570,plain,
% 1.19/1.37 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[552, 2569])).
% 1.19/1.37 tff(2571,plain,
% 1.19/1.37 (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[2280, 2570, 489, 2197, 1462, 539])).
% 1.19/1.37 tff(2572,plain,
% 1.19/1.37 (r(X!6)),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[682, 2571, 234])).
% 1.19/1.37 tff(2573,plain,
% 1.19/1.37 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[1327, 2572, 1324])).
% 1.19/1.37 tff(2574,plain,
% 1.19/1.37 (~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[626, 2570, 539])).
% 1.19/1.37 tff(2575,plain,
% 1.19/1.37 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[434, 2574])).
% 1.19/1.37 tff(2576,plain,
% 1.19/1.37 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[1426, 2575, 2197])).
% 1.19/1.37 tff(2577,plain,
% 1.19/1.37 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[431, 2576])).
% 1.19/1.37 tff(2578,plain,
% 1.19/1.37 ($false),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[460, 2577, 2573, 542])).
% 1.19/1.37 tff(2579,plain,(![X: $i] : (~r(X)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~![Y: $i] : r(Y)) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))) | (~s(Y!7))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.37 tff(2580,plain,
% 1.19/1.37 (![X: $i] : (~r(X))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[2579, 2568, 542, 1599, 489, 3, 539, 549])).
% 1.19/1.37 tff(2581,plain,
% 1.19/1.37 ((~s(Y!7)) | ![X: $i] : (~r(X))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[1460, 2580])).
% 1.19/1.37 tff(2582,plain,
% 1.19/1.37 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[1771, 2581, 539, 542, 1753, 489, 798, 2563])).
% 1.19/1.37 tff(2583,plain,
% 1.19/1.37 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[12, 2582, 3])).
% 1.19/1.37 tff(2584,plain,
% 1.19/1.37 (~((~r(Y!3)) | ![X: $i] : (~q(X)))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[807, 2566, 798])).
% 1.19/1.37 tff(2585,plain,
% 1.19/1.37 (r(Y!3)),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[790, 2584])).
% 1.19/1.37 tff(2586,plain,
% 1.19/1.37 (~r(X!6)),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[636, 2580])).
% 1.19/1.37 tff(2587,plain,
% 1.19/1.37 (~![Y: $i] : (r(X!8) <=> r(Y))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[1141, 2586, 2585])).
% 1.19/1.37 tff(2588,plain,
% 1.19/1.37 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[546, 2587, 542])).
% 1.19/1.37 tff(2589,plain,
% 1.19/1.37 ($false),
% 1.19/1.37 inference(unit_resolution,[status(thm)],[540, 2588, 2583])).
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(~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.37 tff(2591,plain,
% 1.19/1.37 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[2590, 233, 1595, 2523, 236, 2561, 2549, 2560, 2558])).
% 1.19/1.38 tff(2592,plain,
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% 1.19/1.38 inference(unit_resolution,[status(thm)],[414, 2591])).
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% 1.19/1.38 inference(unit_resolution,[status(thm)],[427, 2592])).
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% 1.19/1.38 inference(unit_resolution,[status(thm)],[416, 2592])).
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% 1.19/1.38 inference(unit_resolution,[status(thm)],[418, 2575, 495])).
% 1.19/1.38 tff(2601,plain,
% 1.19/1.38 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[540, 2600])).
% 1.19/1.38 tff(2602,plain,
% 1.19/1.38 (![Y: $i] : (r(X!8) <=> r(Y))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[546, 2601, 542])).
% 1.19/1.38 tff(2603,plain,
% 1.19/1.38 (r(X!8) <=> r(X!6)),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[1436, 2602])).
% 1.19/1.38 tff(2604,plain,
% 1.19/1.38 (r(X!8) <=> r(Y!3)),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[780, 2602])).
% 1.19/1.38 tff(2605,plain,
% 1.19/1.38 (~r(X!8)),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[1502, 2604, 1664])).
% 1.19/1.38 tff(2606,plain,
% 1.19/1.38 ($false),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[520, 2605, 2603, 2599])).
% 1.19/1.38 tff(2607,plain,(![X: $i] : (~r(X)) | r(Y!3) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~s(Y!7))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.38 tff(2608,plain,
% 1.19/1.38 (![X: $i] : (~r(X))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[2607, 2598, 233, 2594, 1595, 236, 2593, 2549])).
% 1.19/1.38 tff(2609,plain,
% 1.19/1.38 (~r(X!6)),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[636, 2608])).
% 1.19/1.38 tff(2610,plain,
% 1.19/1.38 (~(r(X!6) | (~s(Y!7)))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[556, 2609, 2549])).
% 1.19/1.38 tff(2611,plain,
% 1.19/1.38 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[558, 2610])).
% 1.19/1.38 tff(2612,plain,
% 1.19/1.38 (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[560, 2611, 2523])).
% 1.19/1.38 tff(2613,plain,
% 1.19/1.38 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[476, 2608])).
% 1.19/1.38 tff(2614,plain,
% 1.19/1.38 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[460, 2613, 233])).
% 1.19/1.38 tff(2615,plain,
% 1.19/1.38 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[431, 2614])).
% 1.19/1.38 tff(2616,plain,
% 1.19/1.38 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[429, 2615, 2593])).
% 1.19/1.38 tff(2617,plain,
% 1.19/1.38 ($false),
% 1.19/1.38 inference(unit_resolution,[status(thm)],[492, 2616, 2612])).
% 1.19/1.38 tff(2618,plain,((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))), inference(lemma,lemma(discharge,[]))).
% 1.19/1.39 tff(2619,plain,
% 1.19/1.39 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.19/1.39 inference(unit_resolution,[status(thm)],[536, 2618])).
% 1.19/1.39 tff(2620,plain,
% 1.19/1.39 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.19/1.39 inference(unit_resolution,[status(thm)],[2619, 15])).
% 1.19/1.39 tff(2621,plain,
% 1.19/1.39 (((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.26/1.39 inference(tautology,[status(thm)],[])).
% 1.26/1.39 tff(2622,plain,
% 1.26/1.39 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[2621, 2620])).
% 1.26/1.39 tff(2623,plain,
% 1.26/1.39 (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[429, 2622, 11])).
% 1.26/1.39 tff(2624,plain,
% 1.26/1.39 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[427, 2623])).
% 1.26/1.39 tff(2625,plain,
% 1.26/1.39 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | ![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[508, 2618])).
% 1.26/1.39 tff(2626,plain,
% 1.26/1.39 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[2625, 15])).
% 1.26/1.39 tff(2627,plain,
% 1.26/1.39 (~![X: $i] : (~r(X))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[476, 2626])).
% 1.26/1.39 tff(2628,plain,
% 1.26/1.39 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[1426, 2622, 1599])).
% 1.26/1.39 tff(2629,plain,
% 1.26/1.39 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[434, 2628])).
% 1.26/1.39 tff(2630,plain,
% 1.26/1.39 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[421, 2628])).
% 1.26/1.39 tff(2631,plain,
% 1.26/1.39 (r(X!6)),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[1128, 2630, 2629, 2627])).
% 1.26/1.39 tff(2632,plain,
% 1.26/1.39 (~![Y: $i] : r(Y)),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[1327, 2631, 2626])).
% 1.26/1.39 tff(2633,assumption,(~![Y: $i] : (r(X!8) <=> r(Y))), introduced(assumption)).
% 1.26/1.39 tff(2634,plain,
% 1.26/1.39 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[499, 2633, 498])).
% 1.26/1.39 tff(2635,plain,
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% 1.26/1.39 inference(unit_resolution,[status(thm)],[2621, 2634])).
% 1.26/1.39 tff(2636,plain,
% 1.26/1.39 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[546, 2633, 542])).
% 1.26/1.39 tff(2637,plain,
% 1.26/1.39 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[540, 2636])).
% 1.26/1.39 tff(2638,plain,
% 1.26/1.39 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[1789, 2637, 381, 2635])).
% 1.26/1.39 tff(2639,plain,
% 1.26/1.39 ((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[1641, 2638])).
% 1.26/1.39 tff(2640,plain,
% 1.26/1.39 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[5, 2638])).
% 1.26/1.39 tff(2641,plain,
% 1.26/1.39 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[1426, 2635, 2197])).
% 1.26/1.39 tff(2642,plain,
% 1.26/1.39 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[421, 2641])).
% 1.26/1.39 tff(2643,plain,
% 1.26/1.39 (![Y: $i] : (q(X!4) <=> q(Y))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[423, 2642, 697])).
% 1.26/1.39 tff(2644,plain,
% 1.26/1.39 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[12, 2637, 1462])).
% 1.26/1.39 tff(2645,plain,
% 1.26/1.39 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[492, 2644])).
% 1.26/1.39 tff(2646,plain,
% 1.26/1.39 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[560, 2645, 697])).
% 1.26/1.39 tff(2647,plain,
% 1.26/1.39 ($false),
% 1.26/1.39 inference(unit_resolution,[status(thm)],[589, 2646, 2643])).
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% 1.26/1.40 tff(2649,plain,
% 1.26/1.40 (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.26/1.40 inference(unit_resolution,[status(thm)],[2648, 2197, 2633, 1462, 542, 498])).
% 1.26/1.40 tff(2650,plain,
% 1.26/1.40 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.26/1.40 inference(unit_resolution,[status(thm)],[1426, 2197, 2635])).
% 1.26/1.40 tff(2651,plain,
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% 1.26/1.40 inference(unit_resolution,[status(thm)],[434, 2650])).
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% 1.26/1.40 (r(X!6) | ![Y: $i] : s(Y)),
% 1.26/1.40 inference(unit_resolution,[status(thm)],[608, 2652])).
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% 1.26/1.40 inference(unit_resolution,[status(thm)],[552, 2652])).
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% 1.26/1.40 ($false),
% 1.26/1.40 inference(unit_resolution,[status(thm)],[642, 2654, 2653, 2649])).
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% 1.26/1.40 tff(2657,plain,
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% 1.26/1.40 inference(unit_resolution,[status(thm)],[2656, 2640, 2633, 2639, 542, 498])).
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% 1.26/1.40 inference(unit_resolution,[status(thm)],[1424, 2657])).
% 1.26/1.40 tff(2659,plain,
% 1.26/1.40 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.26/1.40 inference(unit_resolution,[status(thm)],[2322, 2657])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[281, 2661, 2658])).
% 1.26/1.41 tff(2665,plain,
% 1.26/1.41 (![Y: $i] : (p(X!1) <=> p(Y))),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[359, 2664])).
% 1.26/1.41 tff(2666,plain,
% 1.26/1.41 (~p(tptp_fun_Y_0(Y!11))),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[1786, 2665, 381])).
% 1.26/1.41 tff(2667,plain,
% 1.26/1.41 ($false),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[1268, 2666, 2663, 381])).
% 1.26/1.41 tff(2668,plain,(![Y: $i] : (r(X!8) <=> r(Y)) | p(Y!11) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.26/1.41 tff(2669,plain,
% 1.26/1.41 (![Y: $i] : (r(X!8) <=> r(Y))),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[2668, 381, 542, 498])).
% 1.26/1.41 tff(2670,plain,
% 1.26/1.41 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[874, 2669])).
% 1.26/1.41 tff(2671,plain,
% 1.26/1.41 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[660, 2670, 542])).
% 1.26/1.41 tff(2672,plain,
% 1.26/1.41 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.26/1.41 inference(unit_resolution,[status(thm)],[431, 2671])).
% 1.26/1.41 tff(2673,plain,
% 1.26/1.41 ((![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) | (~![Y: $i] : (r(X!8) <=> r(Y)))),
% 1.26/1.41 inference(tautology,[status(thm)],[])).
% 1.26/1.41 tff(2674,plain,
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[2673, 2669])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[536, 2674, 498])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[14, 2675])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[1789, 2676, 381, 2672])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[5, 2677])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[492, 2677])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[1610, 2679, 2678])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[1426, 2680, 2672])).
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% 1.26/1.41 inference(unit_resolution,[status(thm)],[1424, 2681])).
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% 1.26/1.42 inference(unit_resolution,[status(thm)],[281, 2684, 2682])).
% 1.26/1.42 tff(2688,plain,
% 1.26/1.42 (![Y: $i] : (p(X!1) <=> p(Y))),
% 1.26/1.42 inference(unit_resolution,[status(thm)],[359, 2687])).
% 1.26/1.42 tff(2689,plain,
% 1.26/1.42 (~p(tptp_fun_Y_0(Y!11))),
% 1.26/1.42 inference(unit_resolution,[status(thm)],[1786, 2688, 381])).
% 1.26/1.42 tff(2690,plain,
% 1.26/1.42 ($false),
% 1.26/1.42 inference(unit_resolution,[status(thm)],[1268, 2689, 2686, 381])).
% 1.26/1.42 tff(2691,plain,(p(Y!11) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.26/1.42 tff(2692,plain,
% 1.26/1.42 (p(Y!11) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.26/1.42 inference(unit_resolution,[status(thm)],[2691, 2618])).
% 1.26/1.42 tff(2693,plain,
% 1.26/1.42 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.26/1.43 inference(unit_resolution,[status(thm)],[2692, 381])).
% 1.26/1.43 tff(2694,plain,
% 1.26/1.43 ((![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))) | ((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.26/1.43 inference(tautology,[status(thm)],[])).
% 1.26/1.43 tff(2695,plain,
% 1.26/1.43 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.26/1.43 inference(unit_resolution,[status(thm)],[2694, 2693])).
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% 1.26/1.43 inference(unit_resolution,[status(thm)],[1424, 2703])).
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% 1.26/1.43 inference(unit_resolution,[status(thm)],[1426, 2704, 1776])).
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% 1.26/1.43 inference(unit_resolution,[status(thm)],[421, 2705])).
% 1.26/1.43 tff(2707,plain,
% 1.26/1.43 ($false),
% 1.26/1.43 inference(unit_resolution,[status(thm)],[423, 2706, 2700, 420])).
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% 1.26/1.43 tff(2709,plain,
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% 1.26/1.43 inference(unit_resolution,[status(thm)],[2708, 490, 420, 381, 11])).
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% 1.26/1.43 inference(unit_resolution,[status(thm)],[2621, 2709])).
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% 1.26/1.43 inference(unit_resolution,[status(thm)],[665, 2710, 2695])).
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% 1.26/1.44 tff(2736,plain,((![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))), inference(lemma,lemma(discharge,[]))).
% 1.26/1.44 tff(2737,plain,
% 1.26/1.44 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[2736, 71, 24, 220])).
% 1.26/1.44 tff(2738,plain,
% 1.26/1.44 (![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[894, 879, 24, 220])).
% 1.26/1.44 tff(2739,plain,
% 1.26/1.44 (~![X: $i] : (~s(X))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[69, 2738])).
% 1.26/1.44 tff(2740,plain,
% 1.26/1.44 (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[79, 2739, 71])).
% 1.26/1.44 tff(2741,plain,
% 1.26/1.44 (s(X!10) | ![Y: $i] : p(Y)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[165, 887])).
% 1.26/1.44 tff(2742,plain,
% 1.26/1.44 (![Y: $i] : p(Y)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[167, 2741, 199])).
% 1.26/1.44 tff(2743,plain,
% 1.26/1.44 ($false),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[1336, 2742, 2740])).
% 1.26/1.44 tff(2744,plain,((![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))) | s(X!10) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.26/1.44 tff(2745,plain,
% 1.26/1.44 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[2744, 199, 71, 220, 24])).
% 1.26/1.44 tff(2746,plain,
% 1.26/1.44 (![Y: $i] : (s(X!12) <=> s(Y))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[179, 2745, 2737])).
% 1.26/1.44 tff(2747,plain,
% 1.26/1.44 ($false),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[208, 2746, 2731, 199])).
% 1.26/1.44 tff(2748,plain,(s(X!10) | (~s(tptp_fun_Y_13(X!10))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.26/1.44 tff(2749,plain,
% 1.26/1.44 (s(X!10)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[2748, 2728, 1333, 2730, 2729])).
% 1.26/1.44 tff(2750,plain,
% 1.26/1.44 (~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[89, 2749, 2728])).
% 1.26/1.44 tff(2751,plain,
% 1.26/1.44 (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[195, 2750])).
% 1.26/1.44 tff(2752,plain,
% 1.26/1.44 (~![X: $i] : (~s(X))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[62, 2749])).
% 1.26/1.44 tff(2753,plain,
% 1.26/1.44 (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[79, 2752, 1333])).
% 1.26/1.44 tff(2754,plain,
% 1.26/1.44 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[36, 2753])).
% 1.26/1.44 tff(2755,plain,
% 1.26/1.44 (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[172, 2754, 2729])).
% 1.26/1.44 tff(2756,plain,
% 1.26/1.44 ((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[45, 2755])).
% 1.26/1.44 tff(2757,plain,
% 1.26/1.44 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[53, 2756, 2751])).
% 1.26/1.44 tff(2758,plain,
% 1.26/1.44 (p(X!14) | (~q(Y!15))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[126, 2757])).
% 1.26/1.44 tff(2759,plain,
% 1.26/1.44 (~![Y: $i] : q(Y)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[451, 2722])).
% 1.26/1.44 tff(2760,plain,
% 1.26/1.44 (![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[106, 2757])).
% 1.26/1.44 tff(2761,plain,
% 1.26/1.44 (~(p(X!14) | ![Y: $i] : q(Y))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[116, 2760, 2759])).
% 1.26/1.44 tff(2762,plain,
% 1.26/1.44 (~p(X!14)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[1114, 2761])).
% 1.26/1.44 tff(2763,plain,
% 1.26/1.44 (~q(Y!15)),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[128, 2762, 2758])).
% 1.26/1.44 tff(2764,plain,
% 1.26/1.44 (q(tptp_fun_Y_5(Y!15))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[574, 2763, 2723])).
% 1.26/1.44 tff(2765,plain,
% 1.26/1.44 (~![X: $i] : (~q(X))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[1073, 2764])).
% 1.26/1.44 tff(2766,plain,
% 1.26/1.44 (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[262, 2765, 2720])).
% 1.26/1.44 tff(2767,plain,
% 1.26/1.44 (![X: $i] : (~p(X))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[110, 2760, 2759])).
% 1.26/1.44 tff(2768,plain,
% 1.26/1.44 (~p(tptp_fun_Y_0(Y!11))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[1098, 2767])).
% 1.26/1.44 tff(2769,plain,
% 1.26/1.44 (~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[1268, 2768, 381])).
% 1.26/1.44 tff(2770,plain,
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% 1.26/1.44 inference(unit_resolution,[status(thm)],[339, 2769])).
% 1.26/1.44 tff(2771,plain,
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% 1.26/1.44 inference(unit_resolution,[status(thm)],[284, 2770])).
% 1.26/1.44 tff(2772,plain,
% 1.26/1.44 (~((~(q(X!2) | (~r(Y!3)))) | (~(![X: $i] : (~q(X)) | ![Y: $i] : r(Y))))),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[286, 2771, 2702])).
% 1.26/1.44 tff(2773,plain,
% 1.26/1.44 ($false),
% 1.26/1.44 inference(unit_resolution,[status(thm)],[255, 2772, 2766])).
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% 1.26/1.45 tff(2775,plain,
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[2774, 381, 420, 433, 11])).
% 1.26/1.45 tff(2776,plain,
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[2621, 2775])).
% 1.26/1.45 tff(2777,plain,
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[499, 2618])).
% 1.26/1.45 tff(2778,plain,
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% 1.26/1.45 tff(2782,plain,
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[1502, 2781, 2779])).
% 1.26/1.45 tff(2783,plain,
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[665, 2776, 2695])).
% 1.26/1.45 tff(2784,plain,
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[12, 2783, 11])).
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[2, 2784])).
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[414, 2785])).
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[416, 2786])).
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% 1.26/1.45 inference(unit_resolution,[status(thm)],[418, 2787, 2783])).
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% 1.26/1.45 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.26/1.45 inference(unit_resolution,[status(thm)],[434, 2788])).
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% 1.26/1.45 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.26/1.45 inference(unit_resolution,[status(thm)],[436, 2789, 433])).
% 1.26/1.45 tff(2791,plain,
% 1.26/1.45 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 1.26/1.45 inference(unit_resolution,[status(thm)],[456, 2790])).
% 1.26/1.45 tff(2792,plain,
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% 1.26/1.46 inference(unit_resolution,[status(thm)],[290, 2818])).
% 1.26/1.46 tff(2820,plain,
% 1.26/1.46 (~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[292, 2819, 2785])).
% 1.26/1.46 tff(2821,plain,
% 1.26/1.46 ($false),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[253, 2820, 2814])).
% 1.26/1.46 tff(2822,plain,(p(Y!11) | ![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.26/1.46 tff(2823,plain,
% 1.26/1.46 (p(Y!11)),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[2822, 420, 433, 11])).
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% 1.26/1.46 (~![Y: $i] : (r(X!8) <=> r(Y))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[2673, 2620])).
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% 1.26/1.46 inference(unit_resolution,[status(thm)],[546, 2824, 2072])).
% 1.26/1.46 tff(2826,plain,
% 1.26/1.46 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[18, 2825])).
% 1.26/1.46 tff(2827,plain,
% 1.26/1.46 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[20, 2825])).
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% 1.26/1.46 tff(2829,plain,
% 1.26/1.46 (![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[425, 2828])).
% 1.26/1.46 tff(2830,plain,
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% 1.26/1.46 inference(unit_resolution,[status(thm)],[478, 2829, 2627])).
% 1.26/1.46 tff(2831,plain,
% 1.26/1.46 (s(tptp_fun_Y_13(X!10))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[484, 2830])).
% 1.26/1.46 tff(2832,assumption,((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))), introduced(assumption)).
% 1.26/1.46 tff(2833,plain,
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% 1.26/1.46 inference(unit_resolution,[status(thm)],[172, 2826, 2832])).
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% 1.26/1.46 inference(unit_resolution,[status(thm)],[935, 2833])).
% 1.26/1.46 tff(2835,plain,
% 1.26/1.46 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[214, 2834, 2826])).
% 1.26/1.46 tff(2836,plain,
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% 1.26/1.46 inference(unit_resolution,[status(thm)],[221, 2835, 2827])).
% 1.26/1.46 tff(2837,plain,
% 1.26/1.46 ((~p(Y!11)) | ![X: $i] : (~s(X))),
% 1.26/1.46 inference(unit_resolution,[status(thm)],[160, 2836])).
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% 1.26/1.46 tff(2840,plain,
% 1.26/1.46 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.33/1.46 inference(unit_resolution,[status(thm)],[2839, 199, 420, 2328, 11])).
% 1.33/1.46 tff(2841,plain,
% 1.33/1.46 (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))),
% 1.33/1.46 inference(unit_resolution,[status(thm)],[414, 2840])).
% 1.33/1.46 tff(2842,plain,
% 1.33/1.46 ((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.33/1.46 inference(unit_resolution,[status(thm)],[427, 2841])).
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% 1.34/1.48 inference(unit_resolution,[status(thm)],[284, 2892])).
% 1.34/1.48 tff(2894,plain,
% 1.34/1.48 ($false),
% 1.34/1.48 inference(unit_resolution,[status(thm)],[286, 2893, 2881, 2624])).
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% 1.34/1.49 inference(unit_resolution,[status(thm)],[874, 2957])).
% 1.34/1.49 tff(2959,plain,
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% 1.34/1.49 inference(unit_resolution,[status(thm)],[660, 2958, 542])).
% 1.34/1.49 tff(2960,plain,
% 1.34/1.49 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.34/1.49 inference(unit_resolution,[status(thm)],[431, 2959])).
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% 1.34/1.49 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.34/1.49 inference(unit_resolution,[status(thm)],[1426, 2960, 2197])).
% 1.34/1.49 tff(2962,plain,
% 1.34/1.49 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.34/1.49 inference(unit_resolution,[status(thm)],[2673, 2957])).
% 1.34/1.49 tff(2963,plain,
% 1.34/1.49 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.34/1.49 inference(unit_resolution,[status(thm)],[2619, 2962])).
% 1.34/1.49 tff(2964,plain,
% 1.34/1.49 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.34/1.49 inference(unit_resolution,[status(thm)],[14, 2963])).
% 1.34/1.50 tff(2965,plain,
% 1.34/1.50 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[1612, 2964, 1462, 2955])).
% 1.34/1.50 tff(2966,plain,
% 1.34/1.50 ($false),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[2211, 2965, 2961])).
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% 1.34/1.50 tff(2968,plain,
% 1.34/1.50 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[2967, 3, 1599])).
% 1.34/1.50 tff(2969,plain,
% 1.34/1.50 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[2694, 2968])).
% 1.34/1.50 tff(2970,plain,
% 1.34/1.50 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[1426, 1776, 2197])).
% 1.34/1.50 tff(2971,plain,
% 1.34/1.50 (~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[1610, 2970, 2955])).
% 1.34/1.50 tff(2972,plain,
% 1.34/1.50 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))),
% 1.34/1.50 inference(unit_resolution,[status(thm)],[492, 2971])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[429, 2972, 1776])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[427, 2973])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[2211, 2970])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[1612, 2975, 1462, 2955])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[14, 2976])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[2625, 2977])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[434, 2970])).
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% 1.34/1.50 inference(unit_resolution,[status(thm)],[18, 2984])).
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% 1.38/1.52 tff(3020,plain,
% 1.38/1.52 ((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[3019, 381, 241, 1329, 1257, 1256])).
% 1.38/1.52 tff(3021,plain,
% 1.38/1.52 (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[136, 3020, 2994])).
% 1.38/1.52 tff(3022,plain,
% 1.38/1.52 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[31, 3021])).
% 1.38/1.52 tff(3023,plain,
% 1.38/1.52 (~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[221, 3022, 220])).
% 1.38/1.52 tff(3024,plain,
% 1.38/1.52 (s(X!10) | ![Y: $i] : p(Y)),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[165, 3023])).
% 1.38/1.52 tff(3025,plain,
% 1.38/1.52 (![Y: $i] : p(Y)),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[167, 3024, 199])).
% 1.38/1.52 tff(3026,plain,
% 1.38/1.52 (![X: $i] : (~s(X)) | ![Y: $i] : p(Y)),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[1336, 3025])).
% 1.38/1.52 tff(3027,plain,
% 1.38/1.52 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[888, 3023])).
% 1.38/1.52 tff(3028,plain,
% 1.38/1.52 ((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[890, 2618])).
% 1.38/1.52 tff(3029,plain,
% 1.38/1.52 (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[3028, 3027])).
% 1.38/1.52 tff(3030,plain,
% 1.38/1.52 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[892, 3029])).
% 1.38/1.52 tff(3031,plain,
% 1.38/1.52 ($false),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[1334, 3030, 3026, 1331])).
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% 1.38/1.52 tff(3033,plain,
% 1.38/1.52 (p(Y!11)),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[3032, 2974, 2991, 199, 2983, 2990, 2989, 2985])).
% 1.38/1.52 tff(3034,plain,
% 1.38/1.52 (~(s(X!10) | (~p(Y!11)))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[83, 3033, 199])).
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% 1.38/1.52 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[34, 3034])).
% 1.38/1.52 tff(3036,plain,
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% 1.38/1.52 inference(unit_resolution,[status(thm)],[172, 3035, 2985])).
% 1.38/1.52 tff(3037,plain,
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% 1.38/1.52 inference(unit_resolution,[status(thm)],[935, 3036])).
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% 1.38/1.52 inference(unit_resolution,[status(thm)],[214, 3037, 2985])).
% 1.38/1.52 tff(3039,plain,
% 1.38/1.52 (~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[221, 3038, 2991])).
% 1.38/1.52 tff(3040,plain,
% 1.38/1.52 ((~p(Y!11)) | ![X: $i] : (~s(X))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[160, 3039])).
% 1.38/1.52 tff(3041,plain,
% 1.38/1.52 (![X: $i] : (~s(X))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[73, 3040, 3033])).
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% 1.38/1.52 (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[69, 3041])).
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% 1.38/1.52 inference(unit_resolution,[status(thm)],[284, 3063])).
% 1.38/1.52 tff(3065,plain,
% 1.38/1.52 ($false),
% 1.38/1.52 inference(unit_resolution,[status(thm)],[286, 3064, 3053, 2974])).
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% 1.38/1.53 tff(3067,plain,
% 1.38/1.53 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.38/1.53 inference(unit_resolution,[status(thm)],[3066, 3, 199, 1599])).
% 1.38/1.53 tff(3068,plain,
% 1.38/1.53 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.38/1.53 inference(unit_resolution,[status(thm)],[2621, 3067])).
% 1.38/1.53 tff(3069,plain,
% 1.38/1.53 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.53 inference(unit_resolution,[status(thm)],[665, 3068, 2969])).
% 1.40/1.53 tff(3070,plain,
% 1.40/1.53 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.40/1.53 inference(unit_resolution,[status(thm)],[12, 3069, 3])).
% 1.40/1.53 tff(3071,plain,
% 1.40/1.53 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.53 inference(unit_resolution,[status(thm)],[492, 3070])).
% 1.40/1.53 tff(3072,plain,
% 1.40/1.53 (r(X!6)),
% 1.40/1.53 inference(unit_resolution,[status(thm)],[1119, 3070, 2969, 3068])).
% 1.40/1.53 tff(3073,plain,
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% 1.40/1.53 inference(unit_resolution,[status(thm)],[18, 2968])).
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% 1.40/1.53 inference(unit_resolution,[status(thm)],[20, 2968])).
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% 1.40/1.54 ($false),
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% 1.40/1.54 tff(3150,plain,
% 1.40/1.54 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.40/1.54 inference(unit_resolution,[status(thm)],[3149, 199])).
% 1.40/1.54 tff(3151,plain,
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% 1.40/1.55 inference(unit_resolution,[status(thm)],[414, 3150])).
% 1.40/1.55 tff(3152,plain,
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% 1.40/1.56 inference(unit_resolution,[status(thm)],[3159, 2618])).
% 1.40/1.56 tff(3161,plain,
% 1.40/1.56 (![Y: $i] : (r(X!8) <=> r(Y))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[3160, 542, 240, 2343, 2344])).
% 1.40/1.56 tff(3162,plain,
% 1.40/1.56 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[874, 3161])).
% 1.40/1.56 tff(3163,plain,
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% 1.40/1.56 inference(unit_resolution,[status(thm)],[660, 3162, 542])).
% 1.40/1.56 tff(3164,plain,
% 1.40/1.56 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[431, 3163])).
% 1.40/1.56 tff(3165,plain,
% 1.40/1.56 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[429, 3164, 2343])).
% 1.40/1.56 tff(3166,plain,
% 1.40/1.56 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[2673, 3161])).
% 1.40/1.56 tff(3167,plain,
% 1.40/1.56 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[2619, 3166])).
% 1.40/1.56 tff(3168,plain,
% 1.40/1.56 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[14, 3167])).
% 1.40/1.56 tff(3169,plain,
% 1.40/1.56 (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[1612, 3168, 2344, 2955])).
% 1.40/1.56 tff(3170,plain,
% 1.40/1.56 ($false),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[1641, 3169, 3165])).
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% 1.40/1.56 tff(3172,plain,
% 1.40/1.56 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[3171, 3150])).
% 1.40/1.56 tff(3173,plain,
% 1.40/1.56 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[20, 3172])).
% 1.40/1.56 tff(3174,plain,
% 1.40/1.56 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[18, 3172])).
% 1.40/1.56 tff(3175,plain,
% 1.40/1.56 (~s(tptp_fun_Y_13(X!10))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[2748, 2730, 199, 1333, 2729])).
% 1.40/1.56 tff(3176,plain,
% 1.40/1.56 (~![Y: $i] : s(Y)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[484, 3175])).
% 1.40/1.56 tff(3177,plain,
% 1.40/1.56 (~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[64, 3175, 199])).
% 1.40/1.56 tff(3178,plain,
% 1.40/1.56 (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[195, 3177])).
% 1.40/1.56 tff(3179,plain,
% 1.40/1.56 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[2736, 2729, 1333, 2730])).
% 1.40/1.56 tff(3180,plain,
% 1.40/1.56 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[2744, 2730, 199, 1333, 2729])).
% 1.40/1.56 tff(3181,plain,
% 1.40/1.56 (![Y: $i] : (s(X!12) <=> s(Y))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[179, 3180, 3179])).
% 1.40/1.56 tff(3182,plain,
% 1.40/1.56 (s(X!12) <=> s(Y!7)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[914, 3181])).
% 1.40/1.56 tff(3183,plain,
% 1.40/1.56 (s(X!12) <=> s(tptp_fun_Y_13(X!10))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[184, 3181])).
% 1.40/1.56 tff(3184,plain,
% 1.40/1.56 (~s(X!12)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[92, 3183, 3175])).
% 1.40/1.56 tff(3185,plain,
% 1.40/1.56 (~s(Y!7)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[1040, 3184, 3182])).
% 1.40/1.56 tff(3186,assumption,(~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))), introduced(assumption)).
% 1.40/1.56 tff(3187,plain,
% 1.40/1.56 (s(X!10) | ![Y: $i] : p(Y)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[165, 3186])).
% 1.40/1.56 tff(3188,plain,
% 1.40/1.56 (![Y: $i] : p(Y)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[167, 3187, 199])).
% 1.40/1.56 tff(3189,plain,
% 1.40/1.56 (![X: $i] : (~s(X)) | ![Y: $i] : p(Y)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[1336, 3188])).
% 1.40/1.56 tff(3190,plain,
% 1.40/1.56 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[888, 3186])).
% 1.40/1.56 tff(3191,plain,
% 1.40/1.56 (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[3028, 3190])).
% 1.40/1.56 tff(3192,plain,
% 1.40/1.56 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[892, 3191])).
% 1.40/1.56 tff(3193,plain,
% 1.40/1.56 ($false),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[1334, 3192, 3189, 40])).
% 1.40/1.56 tff(3194,plain,(((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))) | (~(s(X!10) | (~p(Y!11)))) | s(X!10)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.56 tff(3195,plain,
% 1.40/1.56 ((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[3194, 1331, 199])).
% 1.40/1.56 tff(3196,plain,
% 1.40/1.56 (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[221, 3195, 2730])).
% 1.40/1.56 tff(3197,plain,
% 1.40/1.56 ((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[31, 3196])).
% 1.40/1.56 tff(3198,plain,
% 1.40/1.56 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[136, 3197, 3178])).
% 1.40/1.56 tff(3199,plain,
% 1.40/1.56 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[102, 3198])).
% 1.40/1.56 tff(3200,assumption,(~![Y: $i] : s(Y)), introduced(assumption)).
% 1.40/1.56 tff(3201,plain,
% 1.40/1.56 (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[478, 234, 3200])).
% 1.40/1.56 tff(3202,plain,
% 1.40/1.56 ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[425, 3201])).
% 1.40/1.56 tff(3203,plain,
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% 1.40/1.56 inference(unit_resolution,[status(thm)],[1195, 109, 2729, 2730, 853, 187])).
% 1.40/1.56 tff(3204,plain,
% 1.40/1.56 (p(X!14) | ![Y: $i] : q(Y)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[100, 3203])).
% 1.40/1.56 tff(3205,plain,
% 1.40/1.56 (p(X!14)),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[112, 3204, 109])).
% 1.40/1.56 tff(3206,plain,
% 1.40/1.56 (~![Y: $i] : (p(X!1) <=> p(Y))),
% 1.40/1.56 inference(unit_resolution,[status(thm)],[387, 3205, 381])).
% 1.40/1.56 tff(3207,plain,
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% 1.40/1.57 tff(3232,plain,
% 1.40/1.57 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[3231, 3215, 3211, 697, 2344, 2343, 234, 2695])).
% 1.40/1.57 tff(3233,plain,
% 1.40/1.57 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2621, 3232])).
% 1.40/1.57 tff(3234,plain,
% 1.40/1.57 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[429, 3233, 2343])).
% 1.40/1.57 tff(3235,plain,
% 1.40/1.57 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[492, 3234])).
% 1.40/1.57 tff(3236,plain,
% 1.40/1.57 (![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[560, 3235, 697])).
% 1.40/1.57 tff(3237,plain,
% 1.40/1.57 ((~q(Y!15)) <=> q(tptp_fun_Y_5(Y!15))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[456, 3236])).
% 1.40/1.57 tff(3238,plain,
% 1.40/1.57 (~((~r(Y!3)) | ![X: $i] : (~q(X)))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[1181, 3237, 240, 2730, 853, 109, 3203, 2729])).
% 1.40/1.57 tff(3239,plain,
% 1.40/1.57 (~![X: $i] : (~q(X))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[1707, 3238])).
% 1.40/1.57 tff(3240,plain,
% 1.40/1.57 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[1020, 3236])).
% 1.40/1.57 tff(3241,plain,
% 1.40/1.57 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[626, 3240, 2955])).
% 1.40/1.57 tff(3242,plain,
% 1.40/1.57 (r(X!6)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[677, 3241, 234])).
% 1.40/1.57 tff(3243,plain,
% 1.40/1.57 ((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.40/1.58 inference(unit_resolution,[status(thm)],[1641, 3234])).
% 1.40/1.58 tff(3244,plain,
% 1.40/1.58 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.40/1.58 inference(unit_resolution,[status(thm)],[1612, 3243, 2344, 2955])).
% 1.40/1.58 tff(3245,plain,
% 1.40/1.58 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.40/1.58 inference(unit_resolution,[status(thm)],[14, 3244])).
% 1.40/1.58 tff(3246,plain,
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% 1.40/1.59 inference(unit_resolution,[status(thm)],[476, 3274])).
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% 1.40/1.59 inference(unit_resolution,[status(thm)],[2625, 3275])).
% 1.40/1.59 tff(3277,plain,
% 1.40/1.59 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[14, 3276])).
% 1.40/1.59 tff(3278,plain,
% 1.40/1.59 (r(X!6) | (~s(Y!7))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[593, 3185])).
% 1.40/1.59 tff(3279,plain,
% 1.40/1.59 (![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[1238, 3274])).
% 1.40/1.59 tff(3280,plain,
% 1.40/1.59 (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[1240, 3279, 3278])).
% 1.40/1.59 tff(3281,plain,
% 1.40/1.59 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[1223, 3280])).
% 1.40/1.59 tff(3282,plain,
% 1.40/1.59 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[1610, 3281, 2955])).
% 1.40/1.59 tff(3283,plain,
% 1.40/1.59 ($false),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[418, 3282, 3277, 3152])).
% 1.40/1.59 tff(3284,plain,(p(Y!11) | s(X!10)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.59 tff(3285,plain,
% 1.40/1.59 (p(Y!11)),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[3284, 199])).
% 1.40/1.59 tff(3286,plain,
% 1.40/1.59 (~(s(X!10) | (~p(Y!11)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[83, 3285, 199])).
% 1.40/1.59 tff(3287,plain,
% 1.40/1.59 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[34, 3286])).
% 1.40/1.59 tff(3288,plain,
% 1.40/1.59 (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[172, 3174, 3287])).
% 1.40/1.59 tff(3289,plain,
% 1.40/1.59 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[935, 3288])).
% 1.40/1.59 tff(3290,plain,
% 1.40/1.59 ((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[214, 3289, 3174])).
% 1.40/1.59 tff(3291,plain,
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% 1.40/1.59 inference(unit_resolution,[status(thm)],[221, 3290, 3173])).
% 1.40/1.59 tff(3292,plain,
% 1.40/1.59 (s(X!10) | ![Y: $i] : p(Y)),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[165, 3291])).
% 1.40/1.59 tff(3293,plain,
% 1.40/1.59 (![Y: $i] : p(Y)),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[167, 3292, 199])).
% 1.40/1.59 tff(3294,plain,
% 1.40/1.59 (p(tptp_fun_Y_0(X!14))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[956, 3293])).
% 1.40/1.59 tff(3295,plain,
% 1.40/1.59 (~![X: $i] : (~p(X))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[833, 3294])).
% 1.40/1.59 tff(3296,plain,
% 1.40/1.59 ((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[45, 3288])).
% 1.40/1.59 tff(3297,plain,
% 1.40/1.59 ((~p(Y!11)) | ![X: $i] : (~s(X))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[160, 3291])).
% 1.40/1.59 tff(3298,plain,
% 1.40/1.59 (![X: $i] : (~s(X))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[73, 3297, 3285])).
% 1.40/1.59 tff(3299,plain,
% 1.40/1.59 (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[69, 3298])).
% 1.40/1.59 tff(3300,plain,
% 1.40/1.59 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[53, 3299, 3296])).
% 1.40/1.59 tff(3301,plain,
% 1.40/1.59 (![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[106, 3300])).
% 1.40/1.59 tff(3302,plain,
% 1.40/1.59 (![Y: $i] : q(Y)),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[110, 3301, 3295])).
% 1.40/1.59 tff(3303,plain,
% 1.40/1.59 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[451, 3302])).
% 1.40/1.59 tff(3304,plain,
% 1.40/1.59 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[1223, 631])).
% 1.40/1.59 tff(3305,plain,
% 1.40/1.59 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[1610, 3304, 2955])).
% 1.40/1.59 tff(3306,plain,
% 1.40/1.59 (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[418, 3305, 3152])).
% 1.40/1.59 tff(3307,plain,
% 1.40/1.59 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[540, 3306])).
% 1.40/1.59 tff(3308,plain,
% 1.40/1.59 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[14, 3306])).
% 1.40/1.59 tff(3309,plain,
% 1.40/1.59 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[2619, 3308])).
% 1.40/1.59 tff(3310,plain,
% 1.40/1.59 (~![Y: $i] : (r(X!8) <=> r(Y))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[2673, 3309])).
% 1.40/1.59 tff(3311,plain,
% 1.40/1.59 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[546, 3310, 3307])).
% 1.40/1.59 tff(3312,plain,
% 1.40/1.59 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[20, 3311])).
% 1.40/1.59 tff(3313,plain,
% 1.40/1.59 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.40/1.59 inference(unit_resolution,[status(thm)],[18, 3311])).
% 1.40/1.59 tff(3314,plain,
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% 1.40/1.59 inference(unit_resolution,[status(thm)],[484, 680])).
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% 1.40/1.60 inference(unit_resolution,[status(thm)],[339, 3335])).
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% 1.40/1.60 inference(unit_resolution,[status(thm)],[290, 3336])).
% 1.40/1.60 tff(3338,plain,
% 1.40/1.60 (~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[292, 3337, 3150])).
% 1.40/1.60 tff(3339,plain,
% 1.40/1.60 ((~r(Y!3)) | ![X: $i] : (~q(X))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[253, 3338])).
% 1.40/1.60 tff(3340,plain,
% 1.40/1.60 (~r(Y!3)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[259, 3339, 3331])).
% 1.40/1.60 tff(3341,plain,
% 1.40/1.60 (r(X!8) <=> r(Y!3)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[780, 3328])).
% 1.40/1.60 tff(3342,plain,
% 1.40/1.60 (~r(X!8)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1502, 3341, 3340])).
% 1.40/1.60 tff(3343,plain,
% 1.40/1.60 ($false),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[520, 3342, 3329, 3327])).
% 1.40/1.60 tff(3344,plain,(![X: $i] : (~r(X)) | s(X!10)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.60 tff(3345,plain,
% 1.40/1.60 (![X: $i] : (~r(X))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[3344, 199])).
% 1.40/1.60 tff(3346,plain,
% 1.40/1.60 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[476, 3345])).
% 1.40/1.60 tff(3347,plain,
% 1.40/1.60 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[2625, 3346])).
% 1.40/1.60 tff(3348,plain,
% 1.40/1.60 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[14, 3347])).
% 1.40/1.60 tff(3349,plain,
% 1.40/1.60 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[42, 3288])).
% 1.40/1.60 tff(3350,plain,
% 1.40/1.60 (![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y)))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[2744, 3297, 199, 3173, 3174])).
% 1.40/1.60 tff(3351,plain,
% 1.40/1.60 (![Y: $i] : (s(X!12) <=> s(Y))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[179, 3350, 3349])).
% 1.40/1.60 tff(3352,plain,
% 1.40/1.60 (s(X!12) <=> s(Y!7)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[914, 3351])).
% 1.40/1.60 tff(3353,plain,
% 1.40/1.60 (~s(tptp_fun_Y_13(X!10))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[2748, 3297, 199, 3173, 3174])).
% 1.40/1.60 tff(3354,plain,
% 1.40/1.60 (s(X!12) <=> s(tptp_fun_Y_13(X!10))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[184, 3351])).
% 1.40/1.60 tff(3355,plain,
% 1.40/1.60 (~s(X!12)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[92, 3354, 3353])).
% 1.40/1.60 tff(3356,plain,
% 1.40/1.60 (~s(Y!7)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1040, 3355, 3352])).
% 1.40/1.60 tff(3357,plain,
% 1.40/1.60 (r(X!6) | (~s(Y!7))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[593, 3356])).
% 1.40/1.60 tff(3358,plain,
% 1.40/1.60 (![X: $i] : (~r(X)) | ![Y: $i] : s(Y)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1238, 3345])).
% 1.40/1.60 tff(3359,plain,
% 1.40/1.60 (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1240, 3358, 3357])).
% 1.40/1.60 tff(3360,plain,
% 1.40/1.60 ((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1223, 3359])).
% 1.40/1.60 tff(3361,plain,
% 1.40/1.60 ((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1610, 3360, 2955])).
% 1.40/1.60 tff(3362,plain,
% 1.40/1.60 ($false),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[418, 3361, 3348, 3152])).
% 1.40/1.60 tff(3363,plain,(s(X!10)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.60 tff(3364,plain,
% 1.40/1.60 (~![X: $i] : (~s(X))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[62, 3363])).
% 1.40/1.60 tff(3365,plain,
% 1.40/1.60 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[665, 496, 2695])).
% 1.40/1.60 tff(3366,plain,
% 1.40/1.60 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[2621, 3365])).
% 1.40/1.60 tff(3367,plain,
% 1.40/1.60 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[2625, 497])).
% 1.40/1.60 tff(3368,plain,
% 1.40/1.60 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[626, 1121, 2955])).
% 1.40/1.60 tff(3369,plain,
% 1.40/1.60 ((~s(Y!7)) | ![X: $i] : (~r(X))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[552, 3368])).
% 1.40/1.60 tff(3370,plain,
% 1.40/1.60 (~s(Y!7)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[550, 3369, 234])).
% 1.40/1.60 tff(3371,plain,
% 1.40/1.60 (~![Y: $i] : (s(X!12) <=> s(Y))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1487, 3370, 3363])).
% 1.40/1.60 tff(3372,plain,
% 1.40/1.60 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1221, 3304, 2955])).
% 1.40/1.60 tff(3373,plain,
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% 1.40/1.60 inference(unit_resolution,[status(thm)],[1641, 3372])).
% 1.40/1.60 tff(3374,plain,
% 1.40/1.60 (r(X!6)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[682, 631, 234])).
% 1.40/1.60 tff(3375,plain,
% 1.40/1.60 (~((~s(X!10)) <=> s(tptp_fun_Y_13(X!10)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[89, 3314, 3363])).
% 1.40/1.60 tff(3376,plain,
% 1.40/1.60 (~![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[195, 3375])).
% 1.40/1.60 tff(3377,plain,
% 1.40/1.60 ((![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))) | ((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))),
% 1.40/1.60 inference(tautology,[status(thm)],[])).
% 1.40/1.60 tff(3378,plain,
% 1.40/1.60 (![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[3377, 631])).
% 1.40/1.60 tff(3379,plain,
% 1.40/1.60 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))),
% 1.40/1.60 inference(tautology,[status(thm)],[])).
% 1.40/1.60 tff(3380,plain,
% 1.40/1.60 (~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[3379, 3305, 3378])).
% 1.40/1.60 tff(3381,plain,
% 1.40/1.60 (((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))) | ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 1.40/1.60 inference(tautology,[status(thm)],[])).
% 1.40/1.60 tff(3382,plain,
% 1.40/1.60 ((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[3381, 3380])).
% 1.40/1.60 tff(3383,plain,
% 1.40/1.60 (![Y: $i] : (q(X!4) <=> q(Y))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[554, 3382, 2955])).
% 1.40/1.60 tff(3384,plain,
% 1.40/1.60 (q(X!4) <=> q(Y!15)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[816, 3383])).
% 1.40/1.60 tff(3385,plain,
% 1.40/1.60 (q(X!4) <=> q(X!2)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1228, 3383])).
% 1.40/1.60 tff(3386,assumption,((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y)))))))), introduced(assumption)).
% 1.40/1.60 tff(3387,plain,
% 1.40/1.60 (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[79, 1333, 3364])).
% 1.40/1.60 tff(3388,plain,
% 1.40/1.60 ((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[36, 3387])).
% 1.40/1.60 tff(3389,plain,
% 1.40/1.60 (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[172, 2729, 3388])).
% 1.40/1.60 tff(3390,plain,
% 1.40/1.60 ((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[45, 3389])).
% 1.40/1.60 tff(3391,plain,
% 1.40/1.60 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[53, 3390, 187])).
% 1.40/1.60 tff(3392,plain,
% 1.40/1.60 (![X: $i] : (~p(X)) | ![Y: $i] : q(Y)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[106, 3391])).
% 1.40/1.60 tff(3393,plain,
% 1.40/1.60 (p(X!14) | (~q(Y!15))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[126, 3391])).
% 1.40/1.60 tff(3394,plain,
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% 1.40/1.60 inference(unit_resolution,[status(thm)],[1426, 3366, 3386])).
% 1.40/1.60 tff(3395,plain,
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% 1.40/1.60 inference(unit_resolution,[status(thm)],[1424, 3394])).
% 1.40/1.60 tff(3396,plain,
% 1.40/1.60 (~![Y: $i] : r(Y)),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[1327, 3367, 514])).
% 1.40/1.60 tff(3397,plain,
% 1.40/1.60 (~(q(X!2) | ![Y: $i] : r(Y))),
% 1.40/1.60 inference(unit_resolution,[status(thm)],[278, 1263, 1329])).
% 1.40/1.60 tff(3398,plain,
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% 1.40/1.60 inference(unit_resolution,[status(thm)],[276, 1272, 3397])).
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% 1.40/1.61 inference(unit_resolution,[status(thm)],[359, 3407])).
% 1.40/1.61 tff(3409,plain,
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% 1.40/1.61 inference(unit_resolution,[status(thm)],[243, 3408])).
% 1.40/1.61 tff(3410,plain,
% 1.40/1.61 ($false),
% 1.40/1.61 inference(unit_resolution,[status(thm)],[245, 3409, 3404, 3395])).
% 1.40/1.61 tff(3411,plain,(((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | p(Y!11) | (~(p(X!14) | (~q(Y!15)))) | (~(q(X!4) <=> q(X!2))) | (~(q(X!4) <=> q(Y!15))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))) | (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~r(X!6))), inference(lemma,lemma(discharge,[]))).
% 1.40/1.61 tff(3412,plain,
% 1.40/1.61 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.40/1.61 inference(unit_resolution,[status(thm)],[3411, 381, 3393, 1257, 1256, 3392, 3386, 514])).
% 1.40/1.61 tff(3413,plain,
% 1.40/1.61 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.40/1.61 inference(unit_resolution,[status(thm)],[1612, 3412, 1462, 2955])).
% 1.40/1.61 tff(3414,plain,
% 1.40/1.61 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.40/1.61 inference(unit_resolution,[status(thm)],[416, 3413])).
% 1.40/1.61 tff(3415,plain,
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% 1.40/1.62 inference(unit_resolution,[status(thm)],[414, 3414])).
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% 1.40/1.62 inference(unit_resolution,[status(thm)],[1424, 3415])).
% 1.40/1.62 tff(3417,plain,
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% 1.40/1.62 inference(unit_resolution,[status(thm)],[1426, 3416, 3386])).
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% 1.40/1.62 inference(unit_resolution,[status(thm)],[2621, 3417])).
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% 1.40/1.62 inference(unit_resolution,[status(thm)],[387, 3434, 381])).
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% 1.49/1.62 inference(unit_resolution,[status(thm)],[359, 3435])).
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% 1.49/1.63 inference(unit_resolution,[status(thm)],[249, 3436])).
% 1.49/1.63 tff(3438,plain,
% 1.49/1.63 ($false),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[251, 3437, 3432, 3414])).
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% 1.49/1.63 tff(3440,plain,
% 1.49/1.63 (p(Y!11)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[3439, 3385, 3384, 3374, 3305, 3373, 3376])).
% 1.49/1.63 tff(3441,plain,
% 1.49/1.63 (~((~p(Y!11)) | ![X: $i] : (~s(X)))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[73, 3440, 3364])).
% 1.49/1.63 tff(3442,plain,
% 1.49/1.63 ((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[160, 3441])).
% 1.49/1.63 tff(3443,plain,
% 1.49/1.63 (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[2619, 497])).
% 1.49/1.63 tff(3444,plain,
% 1.49/1.63 ((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[2621, 3443])).
% 1.49/1.63 tff(3445,plain,
% 1.49/1.63 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[1426, 3444, 3386])).
% 1.49/1.63 tff(3446,plain,
% 1.49/1.63 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[1424, 3445])).
% 1.49/1.63 tff(3447,assumption,((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X))))), introduced(assumption)).
% 1.49/1.63 tff(3448,plain,
% 1.49/1.63 (~![Y: $i] : (r(X!8) <=> r(Y))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[2673, 3443])).
% 1.49/1.63 tff(3449,plain,
% 1.49/1.63 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[546, 3448, 541])).
% 1.49/1.63 tff(3450,plain,
% 1.49/1.63 ((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[20, 3449])).
% 1.49/1.63 tff(3451,plain,
% 1.49/1.63 (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[221, 3450, 3447])).
% 1.49/1.63 tff(3452,plain,
% 1.49/1.63 ((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[31, 3451])).
% 1.49/1.63 tff(3453,plain,
% 1.49/1.63 (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[136, 3452, 187])).
% 1.49/1.63 tff(3454,plain,
% 1.49/1.63 ((~q(Y!15)) | ![X: $i] : (~p(X))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[102, 3453])).
% 1.49/1.63 tff(3455,plain,
% 1.49/1.63 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[18, 3449])).
% 1.49/1.63 tff(3456,plain,
% 1.49/1.63 (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[214, 3451, 3455])).
% 1.49/1.63 tff(3457,plain,
% 1.49/1.63 ((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[935, 3456])).
% 1.49/1.63 tff(3458,plain,
% 1.49/1.63 (~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[172, 3457, 3455])).
% 1.49/1.63 tff(3459,plain,
% 1.49/1.63 (![X: $i] : (~s(X)) | ![Y: $i] : p(Y)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[36, 3458])).
% 1.49/1.63 tff(3460,plain,
% 1.49/1.63 (![Y: $i] : p(Y)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[75, 3459, 3364])).
% 1.49/1.63 tff(3461,plain,
% 1.49/1.63 (p(tptp_fun_Y_0(X!14))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[956, 3460])).
% 1.49/1.63 tff(3462,plain,
% 1.49/1.63 (~![X: $i] : (~p(X))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[833, 3461])).
% 1.49/1.63 tff(3463,plain,
% 1.49/1.63 (~q(Y!15)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[124, 3462, 3454])).
% 1.49/1.63 tff(3464,plain,
% 1.49/1.63 (~q(X!4)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[570, 3463, 1256])).
% 1.49/1.63 tff(3465,plain,
% 1.49/1.63 (~q(X!2)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[825, 3464, 1257])).
% 1.49/1.63 tff(3466,plain,
% 1.49/1.63 (~(q(X!2) | ![Y: $i] : r(Y))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[278, 3465, 3396])).
% 1.49/1.63 tff(3467,plain,
% 1.49/1.63 ((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X))))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[276, 3466])).
% 1.49/1.63 tff(3468,plain,
% 1.49/1.63 (p(X!14) | ![Y: $i] : q(Y)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[100, 3453])).
% 1.49/1.63 tff(3469,plain,
% 1.49/1.63 (~![Y: $i] : q(Y)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[122, 3463])).
% 1.49/1.63 tff(3470,plain,
% 1.49/1.63 (p(X!14)),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[112, 3469, 3468])).
% 1.49/1.63 tff(3471,plain,
% 1.49/1.63 (~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))),
% 1.49/1.63 inference(unit_resolution,[status(thm)],[1311, 3470, 3461])).
% 1.49/1.63 tff(3472,plain,
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% 1.49/1.63 inference(unit_resolution,[status(thm)],[339, 3471])).
% 1.49/1.63 tff(3473,plain,
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% 1.49/1.64 inference(unit_resolution,[status(thm)],[290, 3472])).
% 1.49/1.64 tff(3474,plain,
% 1.49/1.64 ($false),
% 1.49/1.64 inference(unit_resolution,[status(thm)],[292, 3473, 3467, 3446])).
% 1.49/1.64 tff(3475,plain,(((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | (~(q(X!4) <=> q(X!2))) | (~(q(X!4) <=> q(Y!15))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))) | (~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~r(X!6))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.64 tff(3476,plain,
% 1.49/1.64 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.49/1.64 inference(unit_resolution,[status(thm)],[3475, 3385, 3384, 3376, 3442, 3305, 3374])).
% 1.49/1.64 tff(3477,plain,
% 1.49/1.64 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.49/1.64 inference(unit_resolution,[status(thm)],[1612, 3476, 3373, 2955])).
% 1.49/1.64 tff(3478,plain,
% 1.49/1.64 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.49/1.64 inference(unit_resolution,[status(thm)],[416, 3477])).
% 1.49/1.64 tff(3479,plain,
% 1.49/1.64 (~((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))),
% 1.49/1.64 inference(unit_resolution,[status(thm)],[414, 3478])).
% 1.49/1.64 tff(3480,plain,
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% 1.49/1.64 inference(unit_resolution,[status(thm)],[1424, 3479])).
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% 1.49/1.64 inference(unit_resolution,[status(thm)],[2621, 3481])).
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% 1.49/1.65 inference(unit_resolution,[status(thm)],[339, 3510])).
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% 1.49/1.65 inference(unit_resolution,[status(thm)],[284, 3511])).
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% 1.49/1.65 inference(unit_resolution,[status(thm)],[429, 3522, 1776])).
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% 1.49/1.65 inference(unit_resolution,[status(thm)],[427, 3523])).
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% 1.49/1.65 inference(unit_resolution,[status(thm)],[3019, 3524, 381, 3520, 3518, 3517])).
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% 1.49/1.65 ($false),
% 1.49/1.65 inference(unit_resolution,[status(thm)],[142, 3525, 3371, 3179])).
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% 1.49/1.65 inference(unit_resolution,[status(thm)],[3527, 3366, 234, 381, 3367])).
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: q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))))))),
% 1.49/1.66 inference(unit_resolution,[status(thm)],[359, 3552])).
% 1.49/1.66 tff(3554,plain,
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% 1.49/1.66 inference(unit_resolution,[status(thm)],[243, 3553])).
% 1.49/1.66 tff(3555,plain,
% 1.49/1.66 ($false),
% 1.49/1.66 inference(unit_resolution,[status(thm)],[245, 3554, 3549, 3530])).
% 1.49/1.66 tff(3556,plain,(((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))) | p(Y!11) | ![X: $i] : (~r(X))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.66 tff(3557,plain,
% 1.49/1.66 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.49/1.67 inference(unit_resolution,[status(thm)],[3556, 381, 234])).
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% 1.49/1.68 tff(3594,plain,
% 1.49/1.68 ((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.49/1.68 inference(unit_resolution,[status(thm)],[3593, 381, 234])).
% 1.49/1.68 tff(3595,plain,
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% 1.49/1.68 inference(unit_resolution,[status(thm)],[414, 3594])).
% 1.49/1.68 tff(3596,plain,
% 1.49/1.68 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.49/1.68 inference(unit_resolution,[status(thm)],[416, 3595])).
% 1.49/1.68 tff(3597,plain,
% 1.49/1.68 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.49/1.68 inference(unit_resolution,[status(thm)],[418, 3596, 3557])).
% 1.49/1.68 tff(3598,plain,
% 1.49/1.68 ((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.49/1.68 inference(unit_resolution,[status(thm)],[434, 3597])).
% 1.49/1.68 tff(3599,plain,
% 1.49/1.68 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 1.49/1.68 inference(unit_resolution,[status(thm)],[626, 3598, 2955])).
% 1.49/1.68 tff(3600,plain,
% 1.49/1.68 ((~s(Y!7)) | ![X: $i] : (~r(X))),
% 1.49/1.68 inference(unit_resolution,[status(thm)],[552, 3599])).
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% 1.49/1.68 inference(unit_resolution,[status(thm)],[359, 3607])).
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% 1.49/1.68 inference(unit_resolution,[status(thm)],[243, 3608])).
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% 1.49/1.68 inference(unit_resolution,[status(thm)],[427, 3595])).
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% 1.49/1.69 inference(unit_resolution,[status(thm)],[1612, 3596, 3557, 2955])).
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% 1.49/1.69 inference(unit_resolution,[status(thm)],[1641, 3611])).
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% 1.49/1.70 inference(unit_resolution,[status(thm)],[339, 3678])).
% 1.49/1.70 tff(3680,plain,
% 1.49/1.70 ($false),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[284, 3679, 3664])).
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% 1.49/1.70 tff(3682,plain,
% 1.49/1.70 (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[3681, 3, 234, 1599])).
% 1.49/1.70 tff(3683,plain,
% 1.49/1.70 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[2621, 3682])).
% 1.49/1.70 tff(3684,plain,
% 1.49/1.70 (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[2280, 3683, 3515, 3, 1599, 2955])).
% 1.49/1.70 tff(3685,plain,
% 1.49/1.70 ((~s(Y!7)) | ![X: $i] : (~r(X))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[552, 3684])).
% 1.49/1.70 tff(3686,plain,
% 1.49/1.70 (~s(Y!7)),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[550, 3685, 234])).
% 1.49/1.70 tff(3687,plain,
% 1.49/1.70 (~![Y: $i] : (s(X!12) <=> s(Y))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[1487, 3686, 3363])).
% 1.49/1.70 tff(3688,plain,
% 1.49/1.70 (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[48, 3687, 3648])).
% 1.49/1.70 tff(3689,plain,
% 1.49/1.70 ((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X))))))))))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[18, 3645])).
% 1.49/1.70 tff(3690,plain,
% 1.49/1.70 (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))),
% 1.49/1.70 inference(unit_resolution,[status(thm)],[214, 3647, 3689])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[414, 3706])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[427, 3707])).
% 1.57/1.71 tff(3709,plain,
% 1.57/1.71 (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))),
% 1.57/1.71 inference(unit_resolution,[status(thm)],[3171, 3706])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[18, 3709])).
% 1.57/1.71 tff(3711,plain,
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[20, 3709])).
% 1.57/1.71 tff(3712,plain,
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[221, 3711, 3644])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[214, 3712, 3710])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[416, 3707])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[2694, 3709])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[434, 3723])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[418, 3724, 495])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[665, 3725, 459])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[554, 433, 2955])).
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% 1.57/1.71 (~![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X)))),
% 1.57/1.71 inference(unit_resolution,[status(thm)],[589, 3727])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[560, 3728, 697])).
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% 1.57/1.71 inference(unit_resolution,[status(thm)],[492, 3729])).
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[429, 3730, 1617])).
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% 1.57/1.72 tff(3734,plain,
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[560, 3741, 3515])).
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[429, 3743, 3708])).
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[2621, 3744])).
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% 1.57/1.72 (![Y: $i] : (r(X!8) <=> r(Y))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[2777, 3745])).
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% 1.57/1.72 (r(X!8) <=> r(Y!3)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[780, 3746])).
% 1.57/1.72 tff(3748,plain,
% 1.57/1.72 (q(X!2)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[444, 3740])).
% 1.57/1.72 tff(3749,plain,
% 1.57/1.72 (~![X: $i] : (~q(X))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[272, 3748])).
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% 1.57/1.72 (p(X!14) | (~q(Y!15))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[126, 3738])).
% 1.57/1.72 tff(3751,plain,
% 1.57/1.72 (q(Y!15)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[122, 3740])).
% 1.57/1.72 tff(3752,plain,
% 1.57/1.72 (p(X!14)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[128, 3751, 3750])).
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% 1.57/1.72 (~![X: $i] : ((~p(X)) <=> p(tptp_fun_Y_0(X)))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[1311, 3752, 3718])).
% 1.57/1.72 tff(3754,plain,
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[339, 3753])).
% 1.57/1.72 tff(3755,plain,
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[290, 3754])).
% 1.57/1.72 tff(3756,plain,
% 1.57/1.72 (~((~(q(X!2) | ![Y: $i] : r(Y))) | (~((~r(Y!3)) | ![X: $i] : (~q(X)))))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[292, 3755, 3706])).
% 1.57/1.72 tff(3757,plain,
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% 1.57/1.72 inference(unit_resolution,[status(thm)],[253, 3756])).
% 1.57/1.72 tff(3758,plain,
% 1.57/1.72 (~r(Y!3)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[259, 3757, 3749])).
% 1.57/1.72 tff(3759,plain,
% 1.57/1.72 (r(X!6)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[677, 3734, 234])).
% 1.57/1.72 tff(3760,plain,
% 1.57/1.72 (r(X!8) <=> r(X!6)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[1436, 3746])).
% 1.57/1.72 tff(3761,plain,
% 1.57/1.72 (r(X!8)),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[520, 3760, 3759])).
% 1.57/1.72 tff(3762,plain,
% 1.57/1.72 ($false),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[1502, 3761, 3758, 3747])).
% 1.57/1.72 tff(3763,plain,(![X: $i] : (~r(X))), inference(lemma,lemma(discharge,[]))).
% 1.57/1.72 tff(3764,plain,
% 1.57/1.72 (~![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X)))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[476, 3763])).
% 1.57/1.72 tff(3765,plain,
% 1.57/1.72 (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[2625, 3764])).
% 1.57/1.72 tff(3766,plain,
% 1.57/1.72 ((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.57/1.72 inference(unit_resolution,[status(thm)],[14, 3765])).
% 1.57/1.72 tff(3767,plain,
% 1.57/1.72 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[1612, 3766, 2955])).
% 1.57/1.73 tff(3768,plain,
% 1.57/1.73 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[3767, 3])).
% 1.57/1.73 tff(3769,assumption,(~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))), introduced(assumption)).
% 1.57/1.73 tff(3770,plain,
% 1.57/1.73 (![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[431, 3769])).
% 1.57/1.73 tff(3771,plain,
% 1.57/1.73 (![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[2621, 3769])).
% 1.57/1.73 tff(3772,plain,
% 1.57/1.73 (~r(X!6)),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[636, 3763])).
% 1.57/1.73 tff(3773,plain,
% 1.57/1.73 (((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[1119, 3772])).
% 1.57/1.73 tff(3774,plain,
% 1.57/1.73 ((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[3773, 3771, 3770])).
% 1.57/1.73 tff(3775,plain,
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% 1.57/1.73 inference(unit_resolution,[status(thm)],[12, 3766])).
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% 1.57/1.73 inference(unit_resolution,[status(thm)],[3775, 3774])).
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% 1.57/1.73 inference(unit_resolution,[status(thm)],[2, 3776])).
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% 1.57/1.73 inference(unit_resolution,[status(thm)],[1321, 3772])).
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% 1.57/1.73 inference(unit_resolution,[status(thm)],[3778, 3770, 3771])).
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% 1.57/1.73 inference(unit_resolution,[status(thm)],[418, 3766])).
% 1.57/1.73 tff(3781,plain,
% 1.57/1.73 (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.57/1.73 inference(unit_resolution,[status(thm)],[3780, 3779])).
% 1.57/1.73 tff(3782,plain,
% 1.57/1.73 ((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[416, 3781])).
% 1.57/1.74 tff(3783,plain,
% 1.57/1.74 ($false),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[414, 3782, 3777])).
% 1.57/1.74 tff(3784,plain,((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.57/1.74 tff(3785,plain,
% 1.57/1.74 (~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[1426, 1599, 3784])).
% 1.57/1.74 tff(3786,plain,
% 1.57/1.74 ($false),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[2211, 3785, 3768])).
% 1.57/1.74 tff(3787,plain,((~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.57/1.74 tff(3788,plain,
% 1.57/1.74 (~((~((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))) | (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[414, 3787])).
% 1.57/1.74 tff(3789,plain,
% 1.57/1.74 ((~((~((~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[416, 3788])).
% 1.57/1.74 tff(3790,plain,
% 1.57/1.74 (~((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[3767, 3789])).
% 1.57/1.74 tff(3791,plain,
% 1.57/1.74 ((~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))) | (~((~(![Y: $i] : (r(X!8) <=> r(Y)) | (~((~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))))))))))) | (~(![X: $i] : ((~r(X)) <=> r(tptp_fun_Y_9(X))) | (~((~((~((~(s(X!10) | (~p(Y!11)))) | (~(![X: $i] : (~s(X)) | ![Y: $i] : p(Y))))) | (~((~((~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X))))) | (~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))))))))) | (~((~((~(s(X!10) | ![Y: $i] : p(Y))) | (~((~p(Y!11)) | ![X: $i] : (~s(X)))))) | (~((~(![Y: $i] : (s(X!12) <=> s(Y)) | (~((~(p(X!14) | (~q(Y!15)))) | (~(![X: $i] : (~p(X)) | ![Y: $i] : q(Y))))))) | (~((~((~(p(X!14) | ![Y: $i] : q(Y))) | (~((~q(Y!15)) | ![X: $i] : (~p(X)))))) | ![X: $i] : ((~s(X)) <=> s(tptp_fun_Y_13(X)))))))))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[427, 3788])).
% 1.57/1.74 tff(3792,plain,
% 1.57/1.74 (~((~((~((~(r(X!6) | (~s(Y!7)))) | (~(![X: $i] : (~r(X)) | ![Y: $i] : s(Y))))) | ![X: $i] : ((~q(X)) <=> q(tptp_fun_Y_5(X))))) | (~(![Y: $i] : (q(X!4) <=> q(Y)) | (~((~(r(X!6) | ![Y: $i] : s(Y))) | (~((~s(Y!7)) | ![X: $i] : (~r(X)))))))))),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[429, 3791, 3784])).
% 1.57/1.74 tff(3793,plain,
% 1.57/1.74 ($false),
% 1.57/1.74 inference(unit_resolution,[status(thm)],[1641, 3792, 3790])).
% 1.57/1.74 % SZS output end Proof
%------------------------------------------------------------------------------