TSTP Solution File: SYN347+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:54:54 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN347+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n006.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 02:44:53 EDT 2022
% 0.14/0.35 % 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.
% 0.21/0.40 % SZS status Theorem
% 0.21/0.40 % SZS output start Proof
% 0.21/0.40 tff(big_f_type, type, (
% 0.21/0.40 big_f: ( $i * $i ) > $o)).
% 0.21/0.40 tff(tptp_fun_Y_2_type, type, (
% 0.21/0.40 tptp_fun_Y_2: ( $i * $i ) > $i)).
% 0.21/0.40 tff(tptp_fun_Z2_0_type, type, (
% 0.21/0.40 tptp_fun_Z2_0: $i)).
% 0.21/0.40 tff(tptp_fun_Z1_1_type, type, (
% 0.21/0.40 tptp_fun_Z1_1: $i)).
% 0.21/0.40 tff(elem_3_type, type, (
% 0.21/0.40 elem_3: $i)).
% 0.21/0.40 tff(1,assumption,(~big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))), introduced(assumption)).
% 0.21/0.40 tff(2,plain,
% 0.21/0.40 ((~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))) <=> (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(3,plain,
% 0.21/0.40 ((~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : (((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)) | (big_f(Z1, Y) <=> big_f(Z2, Y)))) <=> (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(4,axiom,(~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : (((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)) | (big_f(Z1, Y) <=> big_f(Z2, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','church_46_17_3')).
% 0.21/0.40 tff(5,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.21/0.40 tff(6,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.21/0.40 tff(7,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.21/0.40 tff(8,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.21/0.40 tff(9,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[8, 2])).
% 0.21/0.40 tff(10,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.21/0.40 tff(11,plain,
% 0.21/0.40 (~![Z1: $i, Z2: $i] : ?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1, Y) <=> big_f(Z2, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1, Z2)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[10, 2])).
% 0.21/0.40 tff(12,plain,(
% 0.21/0.40 $oeq((~?[X1: $i, X2: $i] : ![Y: $i] : ((big_f(Z1!1, Y) <=> big_f(Z2!0, Y)) | ((big_f(X1, Y) <=> big_f(X2, Y)) <=> big_f(Z1!1, Z2!0)))), ![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0)))))),
% 0.21/0.40 inference(transitivity,[status(sab)],[11])).
% 0.21/0.40 tff(13,plain,
% 0.21/0.40 ((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~((big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | ((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(14,plain,
% 0.21/0.40 (~((big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | ((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0)))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.21/0.40 tff(15,plain,
% 0.21/0.40 (((big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | ((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0))) | (~(big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(16,plain,
% 0.21/0.41 (~(big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.21/0.41 tff(17,plain,
% 0.21/0.41 ((big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) | big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(18,plain,
% 0.21/0.41 (big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) | big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.21/0.41 tff(19,plain,
% 0.21/0.41 (big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[18, 1])).
% 0.21/0.41 tff(20,plain,
% 0.21/0.41 (((big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | ((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0))) | (~((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0)))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(21,plain,
% 0.21/0.41 (~((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[20, 14])).
% 0.21/0.41 tff(22,plain,
% 0.21/0.41 (((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3)))))) <=> ((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(23,plain,
% 0.21/0.41 ((~((big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))) | ((big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3))) <=> big_f(Z1!1, Z2!0)))) <=> (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(24,plain,
% 0.21/0.41 (((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~((big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))) | ((big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3))) <=> big_f(Z1!1, Z2!0))))) <=> ((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[23])).
% 0.21/0.41 tff(25,plain,
% 0.21/0.41 (((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~((big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))) | ((big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3))) <=> big_f(Z1!1, Z2!0))))) <=> ((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[24, 22])).
% 0.21/0.41 tff(26,plain,
% 0.21/0.41 ((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~((big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))) | ((big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(elem!3, tptp_fun_Y_2(elem!3, elem!3))) <=> big_f(Z1!1, Z2!0))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(27,plain,
% 0.21/0.41 ((~![X1: $i, X2: $i] : (~((big_f(Z1!1, tptp_fun_Y_2(X2, X1)) <=> big_f(Z2!0, tptp_fun_Y_2(X2, X1))) | ((big_f(X1, tptp_fun_Y_2(X2, X1)) <=> big_f(X2, tptp_fun_Y_2(X2, X1))) <=> big_f(Z1!1, Z2!0))))) | (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.21/0.41 tff(28,plain,
% 0.21/0.41 (~(big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[27, 12])).
% 0.21/0.41 tff(29,plain,
% 0.21/0.41 ((big_f(Z1!1, Z2!0) | (big_f(Z1!1, tptp_fun_Y_2(elem!3, elem!3)) <=> big_f(Z2!0, tptp_fun_Y_2(elem!3, elem!3)))) | (~big_f(Z1!1, Z2!0))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(30,plain,
% 0.21/0.41 (~big_f(Z1!1, Z2!0)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.21/0.41 tff(31,plain,
% 0.21/0.41 (((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0)) | (big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) | big_f(Z1!1, Z2!0)),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(32,plain,
% 0.21/0.41 (((big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) <=> big_f(Z1!1, Z2!0)) | (big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.21/0.41 tff(33,plain,
% 0.21/0.41 (big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[32, 21])).
% 0.21/0.41 tff(34,plain,
% 0.21/0.41 ((~(big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)))) | big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) | (~big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(35,plain,
% 0.21/0.41 (big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) | (~big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.21/0.41 tff(36,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[35, 19, 1])).
% 0.21/0.41 tff(37,plain,(big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(38,plain,
% 0.21/0.41 ((big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | (~big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) | (~big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(39,plain,
% 0.21/0.41 ((~big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))) | (~big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[38, 16])).
% 0.21/0.41 tff(40,plain,
% 0.21/0.41 (~big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[39, 37])).
% 0.21/0.41 tff(41,plain,
% 0.21/0.41 ((~(big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0)) <=> big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0)))) | (~big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(42,plain,
% 0.21/0.41 ((~big_f(Z2!0, tptp_fun_Y_2(Z1!1, Z2!0))) | big_f(Z1!1, tptp_fun_Y_2(Z1!1, Z2!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[41, 33])).
% 0.21/0.41 tff(43,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[42, 40, 37])).
% 0.21/0.41 % SZS output end Proof
%------------------------------------------------------------------------------