TSTP Solution File: SYN413+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:55:13 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Sep 5 03:04:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.20/0.57 % SZS status Theorem
% 0.20/0.57 % SZS output start Proof
% 0.20/0.57 tff(f_type, type, (
% 0.20/0.57 f: ( $i * $i ) > $o)).
% 0.20/0.57 tff(tptp_fun_Y_1_type, type, (
% 0.20/0.57 tptp_fun_Y_1: $i > $i)).
% 0.20/0.57 tff(tptp_fun_V_0_type, type, (
% 0.20/0.57 tptp_fun_V_0: $i)).
% 0.20/0.57 tff(1,assumption,(~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))), introduced(assumption)).
% 0.20/0.57 tff(2,plain,
% 0.20/0.57 (^[Z: $i, X: $i] : refl((f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X)))) <=> (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X)))))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(3,plain,
% 0.20/0.57 (![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X)))) <=> ![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.57 tff(4,plain,
% 0.20/0.57 (^[Z: $i, X: $i] : rewrite((f(X, tptp_fun_Y_1(Z)) <=> (f(X, Z) & (~f(X, X)))) <=> (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X)))))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(5,plain,
% 0.20/0.57 (![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (f(X, Z) & (~f(X, X)))) <=> ![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.57 tff(6,plain,
% 0.20/0.57 (![Z: $i] : ![X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (f(X, Z) & (~f(X, X)))) <=> ![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (f(X, Z) & (~f(X, X))))),
% 0.20/0.57 inference(pull_quant,[status(thm)],[])).
% 0.20/0.57 tff(7,plain,
% 0.20/0.57 (![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X)))) <=> ![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(8,plain,
% 0.20/0.57 ((~(![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X)))) => (~?[V: $i] : ![U: $i] : f(U, V)))) <=> (~((~?[V: $i] : ![U: $i] : f(U, V)) | (~![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X)))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(9,axiom,(~(![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X)))) => (~?[V: $i] : ![U: $i] : f(U, V)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','kalish256')).
% 0.20/0.57 tff(10,plain,
% 0.20/0.57 (~((~?[V: $i] : ![U: $i] : f(U, V)) | (~![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X))))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.20/0.57 tff(11,plain,
% 0.20/0.57 (![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X))))),
% 0.20/0.57 inference(or_elim,[status(thm)],[10])).
% 0.20/0.57 tff(12,plain,
% 0.20/0.57 (![Z: $i] : ?[Y: $i] : ![X: $i] : (f(X, Y) <=> (f(X, Z) & (~f(X, X))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.20/0.57 tff(13,plain,(
% 0.20/0.57 ![Z: $i] : ![X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (f(X, Z) & (~f(X, X))))),
% 0.20/0.57 inference(skolemize,[status(sab)],[12])).
% 0.20/0.57 tff(14,plain,
% 0.20/0.57 (![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (f(X, Z) & (~f(X, X))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.20/0.57 tff(15,plain,
% 0.20/0.57 (![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[14, 5])).
% 0.20/0.57 tff(16,plain,
% 0.20/0.57 (![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[15, 3])).
% 0.20/0.57 tff(17,plain,
% 0.20/0.57 ((~![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))) | (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(18,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[17, 16, 1])).
% 0.20/0.57 tff(19,plain,(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.57 tff(20,assumption,(~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))), introduced(assumption)).
% 0.20/0.57 tff(21,plain,
% 0.20/0.57 ((~![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))) | (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(22,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[21, 16, 20])).
% 0.20/0.57 tff(23,plain,(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.57 tff(24,assumption,(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))), introduced(assumption)).
% 0.20/0.57 tff(25,plain,
% 0.20/0.57 (((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(26,plain,
% 0.20/0.57 ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.20/0.57 tff(27,plain,
% 0.20/0.57 ((~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))) | (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(28,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[27, 26, 24, 23])).
% 0.20/0.57 tff(29,plain,(~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.57 tff(30,plain,
% 0.20/0.57 (^[U: $i] : refl(f(U, V!0) <=> f(U, V!0))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(31,plain,
% 0.20/0.57 (![U: $i] : f(U, V!0) <=> ![U: $i] : f(U, V!0)),
% 0.20/0.57 inference(quant_intro,[status(thm)],[30])).
% 0.20/0.57 tff(32,plain,
% 0.20/0.57 (?[V: $i] : ![U: $i] : f(U, V) <=> ?[V: $i] : ![U: $i] : f(U, V)),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(33,plain,
% 0.20/0.57 (?[V: $i] : ![U: $i] : f(U, V)),
% 0.20/0.57 inference(or_elim,[status(thm)],[10])).
% 0.20/0.57 tff(34,plain,
% 0.20/0.57 (?[V: $i] : ![U: $i] : f(U, V)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.20/0.57 tff(35,plain,(
% 0.20/0.57 $oeq(![U: $i] : f(U, V!0), ![U: $i] : f(U, V!0))),
% 0.20/0.57 inference(transitivity,[status(sab)],[34])).
% 0.20/0.57 tff(36,plain,
% 0.20/0.57 (![U: $i] : f(U, V!0)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[35, 31])).
% 0.20/0.57 tff(37,plain,
% 0.20/0.57 ((~![U: $i] : f(U, V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(38,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.20/0.57 tff(39,plain,
% 0.20/0.57 ((~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(40,plain,
% 0.20/0.57 ((~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.20/0.57 tff(41,plain,
% 0.20/0.57 (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[40, 29])).
% 0.20/0.57 tff(42,plain,
% 0.20/0.57 ((~![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))) | (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0)) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(43,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0)) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[42, 16])).
% 0.20/0.57 tff(44,plain,
% 0.20/0.57 ((~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0)) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0)) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(45,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0)) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), V!0)) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.20/0.57 tff(46,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[45, 41])).
% 0.20/0.57 tff(47,plain,
% 0.20/0.57 ((~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(48,plain,
% 0.20/0.57 (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[47, 46, 29])).
% 0.20/0.57 tff(49,plain,
% 0.20/0.57 ((~![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))) | (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(50,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[49, 16])).
% 0.20/0.57 tff(51,plain,
% 0.20/0.57 ((~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0))) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(52,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0))) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(V!0))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.20/0.57 tff(53,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[52, 48])).
% 0.20/0.57 tff(54,plain,
% 0.20/0.57 ((~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(55,plain,
% 0.20/0.57 (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[54, 53, 29])).
% 0.20/0.57 tff(56,plain,
% 0.20/0.57 ((~![Z: $i, X: $i] : (f(X, tptp_fun_Y_1(Z)) <=> (~((~f(X, Z)) | f(X, X))))) | (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(57,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[56, 16])).
% 0.20/0.57 tff(58,plain,
% 0.20/0.57 ((~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(59,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(V!0)))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.20/0.57 tff(60,plain,
% 0.20/0.57 (f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[59, 55])).
% 0.20/0.57 tff(61,plain,
% 0.20/0.57 ((~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(62,plain,
% 0.20/0.57 (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[61, 29, 60])).
% 0.20/0.57 tff(63,plain,
% 0.20/0.57 ((~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(64,plain,
% 0.20/0.57 ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[63, 29, 23])).
% 0.20/0.57 tff(65,plain,
% 0.20/0.57 ((~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))) | (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(66,plain,
% 0.20/0.57 (~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[65, 64, 29])).
% 0.20/0.57 tff(67,plain,
% 0.20/0.57 ((~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | ((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))),
% 0.20/0.57 inference(tautology,[status(thm)],[])).
% 0.20/0.57 tff(68,plain,
% 0.20/0.57 (~(f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) <=> (~((~f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))) | f(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0))))), tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(tptp_fun_Y_1(V!0)))))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[67, 66, 62])).
% 0.20/0.57 tff(69,plain,
% 0.20/0.57 ($false),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[68, 19])).
% 0.20/0.57 % SZS output end Proof
%------------------------------------------------------------------------------