TSTP Solution File: ITP296_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 : Sat Sep 17 04:18:38 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n003.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 : Thu Sep 1 07:16:09 EDT 2022
% 0.13/0.33 % 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.
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 % SZS output start Proof
% 0.20/0.55 tff(tptp_fun__fun_app_c__type, type, (
% 0.20/0.55 tptp_fun__fun_app_c_: ( 'ZF_set_bool_fun$' * 'ZF_set$' ) > $o)).
% 0.20/0.55 tff(tptp_fun__a___type, type, (
% 0.20/0.55 tptp_fun__a__: 'ZF_set$')).
% 0.20/0.55 tff(tptp_fun__member_a__type, type, (
% 0.20/0.55 tptp_fun__member_a_: 'ZF$' > 'ZF_set_bool_fun$')).
% 0.20/0.55 tff(tptp_fun__y___type, type, (
% 0.20/0.55 tptp_fun__y__: 'ZF$')).
% 0.20/0.55 tff(tptp_fun__fun_app_e__type, type, (
% 0.20/0.55 tptp_fun__fun_app_e_: ( 'ZF_set_ZF_fun$' * 'ZF_set$' ) > 'ZF$')).
% 0.20/0.55 tff(tptp_fun__fun_app_f__type, type, (
% 0.20/0.55 tptp_fun__fun_app_f_: ( 'ZF_ZF_set_fun$' * 'ZF$' ) > 'ZF_set$')).
% 0.20/0.55 tff(tptp_fun__f___type, type, (
% 0.20/0.55 tptp_fun__f__: 'ZF_ZF_set_fun$')).
% 0.20/0.55 tff(tptp_fun__implode___type, type, (
% 0.20/0.55 tptp_fun__implode__: 'ZF_set_ZF_fun$')).
% 0.20/0.55 tff(1,axiom,(tptp_fun__fun_app_c_(tptp_fun__member_a_(|'y$'|), |'a$'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom4')).
% 0.20/0.55 tff(2,plain,
% 0.20/0.55 ((~(tptp_fun__fun_app_c_(tptp_fun__member_a_(|'y$'|), |'a$'|) & (tptp_fun__fun_app_e_(|'implode$'|, tptp_fun__fun_app_f_(|'f$'|, |'y$'|)) = tptp_fun__fun_app_e_(|'implode$'|, tptp_fun__fun_app_f_(|'f$'|, |'y$'|))))) <=> (~tptp_fun__fun_app_c_(tptp_fun__member_a_(|'y$'|), |'a$'|))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(3,axiom,(~(tptp_fun__fun_app_c_(tptp_fun__member_a_(|'y$'|), |'a$'|) & (tptp_fun__fun_app_e_(|'implode$'|, tptp_fun__fun_app_f_(|'f$'|, |'y$'|)) = tptp_fun__fun_app_e_(|'implode$'|, tptp_fun__fun_app_f_(|'f$'|, |'y$'|))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conjecture3')).
% 0.20/0.55 tff(4,plain,
% 0.20/0.55 (~tptp_fun__fun_app_c_(tptp_fun__member_a_(|'y$'|), |'a$'|)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.55 tff(5,plain,
% 0.20/0.55 ($false),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.20/0.55 % SZS output end Proof
%------------------------------------------------------------------------------