TSTP Solution File: ITP325_1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : ITP325_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n024.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 04:18:44 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP325_1 : TPTP v8.1.0. Released v8.0.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Sep  1 07:22:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -o:<output-file> file to place output in.
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  tff(tptp_fun__fun_app_n__type, type, (
% 0.20/0.51     tptp_fun__fun_app_n_: ( 'A_a_b_vec_n_vec_fun$' * 'A$' ) > 'A_b_vec_n_vec$')).
% 0.20/0.51  tff(tptp_fun__fun_app_m__type, type, (
% 0.20/0.51     tptp_fun__fun_app_m_: ( 'A_a_fun$' * 'A$' ) > 'A$')).
% 0.20/0.51  tff(tptp_fun__fun_app_a__type, type, (
% 0.20/0.51     tptp_fun__fun_app_a_: ( 'B_a_fun$' * 'B$' ) > 'A$')).
% 0.20/0.51  tff(tptp_fun__j___type, type, (
% 0.20/0.51     tptp_fun__j__: 'B$')).
% 0.20/0.51  tff(tptp_fun__vec_nth___type, type, (
% 0.20/0.51     tptp_fun__vec_nth__: 'A_b_vec$' > 'B_a_fun$')).
% 0.20/0.51  tff(tptp_fun__fun_app_b__type, type, (
% 0.20/0.51     tptp_fun__fun_app_b_: ( 'N_a_b_vec_fun$' * 'N$' ) > 'A_b_vec$')).
% 0.20/0.51  tff(tptp_fun__i___type, type, (
% 0.20/0.51     tptp_fun__i__: 'N$')).
% 0.20/0.51  tff(tptp_fun__vec_nth_a__type, type, (
% 0.20/0.51     tptp_fun__vec_nth_a_: 'A_b_vec_n_vec$' > 'N_a_b_vec_fun$')).
% 0.20/0.51  tff(tptp_fun__interchange_A___type, type, (
% 0.20/0.51     tptp_fun__interchange_A__: 'A_b_vec_n_vec$')).
% 0.20/0.51  tff(tptp_fun__divide___type, type, (
% 0.20/0.51     tptp_fun__divide__: 'A$' > 'A_a_fun$')).
% 0.20/0.51  tff(tptp_fun__one___type, type, (
% 0.20/0.51     tptp_fun__one__: 'A$')).
% 0.20/0.51  tff(tptp_fun__mult_row___type, type, (
% 0.20/0.51     tptp_fun__mult_row__: ( 'A_b_vec_n_vec$' * 'N$' ) > 'A_a_b_vec_n_vec_fun$')).
% 0.20/0.51  tff(tptp_fun__a_a__type, type, (
% 0.20/0.51     tptp_fun__a_a_: 'A_b_vec_n_vec$')).
% 0.20/0.51  tff(1,axiom,(|'a$a'| = tptp_fun__fun_app_n_(tptp_fun__mult_row__(|'interchange_A$'|, |'i$'|), tptp_fun__fun_app_m_(tptp_fun__divide__(|'one$'|), tptp_fun__fun_app_a_(tptp_fun__vec_nth__(tptp_fun__fun_app_b_(tptp_fun__vec_nth_a_(|'interchange_A$'|), |'i$'|)), |'j$'|)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom105')).
% 0.20/0.51  tff(2,axiom,(~(|'a$a'| = tptp_fun__fun_app_n_(tptp_fun__mult_row__(|'interchange_A$'|, |'i$'|), tptp_fun__fun_app_m_(tptp_fun__divide__(|'one$'|), tptp_fun__fun_app_a_(tptp_fun__vec_nth__(tptp_fun__fun_app_b_(tptp_fun__vec_nth_a_(|'interchange_A$'|), |'i$'|)), |'j$'|))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conjecture104')).
% 0.20/0.51  tff(3,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[2, 1])).
% 0.20/0.51  % SZS output end Proof
%------------------------------------------------------------------------------