TSTP Solution File: ITP327_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP327_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : Fri May 3 02:30:39 EDT 2024
% Result : Theorem 4.16s 1.20s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 13 equ)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 72 ( 72 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 3 ( 1 sgn 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(f119,conjecture,
'zero$' = 'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture118) ).
tff(f120,negated_conjecture,
( ~ 'zero$' = 'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) ),
inference(negated_conjecture,[],[f119]) ).
tff(f121,axiom,
'zero$' = 'fun_app$d'('vec_nth$b'('xa$'),'i$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom119) ).
tff(f144,axiom,
! [X0: 'A$'] : ( 'zero$' = 'fun_app$m'('fun_app$n'('times$e',X0),'zero$') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom142) ).
tff(f763,plain,
'zero$' != 'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')),
inference(flattening,[],[f120]) ).
tff(f1918,plain,
'zero$' != 'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')),
inference(cnf_transformation,[],[f763]) ).
tff(f1919,plain,
'zero$' = 'fun_app$d'('vec_nth$b'('xa$'),'i$'),
inference(cnf_transformation,[],[f121]) ).
tff(f1942,plain,
! [X0: 'A$'] : ( 'zero$' = 'fun_app$m'('fun_app$n'('times$e',X0),'zero$') ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_257,negated_conjecture,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) != 'zero$',
inference(cnf_transformation,[],[f1918]) ).
cnf(c_258,plain,
'fun_app$d'('vec_nth$b'('xa$'),'i$') = 'zero$',
inference(cnf_transformation,[],[f1919]) ).
cnf(c_280,plain,
'fun_app$m'('fun_app$n'('times$e',X0_51),'zero$') = 'zero$',
inference(cnf_transformation,[],[f1942]) ).
cnf(c_8965,plain,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'zero$') != 'zero$',
inference(light_normalisation,[status(thm)],[c_257,c_258]) ).
cnf(c_8966,plain,
'zero$' != 'zero$',
inference(demodulation,[status(thm)],[c_8965,c_280]) ).
cnf(c_8967,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_8966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP327_1 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:09:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.16/1.20 % SZS status Started for theBenchmark.p
% 4.16/1.20 % SZS status Theorem for theBenchmark.p
% 4.16/1.20
% 4.16/1.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.16/1.20
% 4.16/1.20 ------ iProver source info
% 4.16/1.20
% 4.16/1.20 git: date: 2024-05-02 19:28:25 +0000
% 4.16/1.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.16/1.20 git: non_committed_changes: false
% 4.16/1.20
% 4.16/1.20 ------ Parsing...
% 4.16/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 4.16/1.20
% 4.16/1.20
% 4.16/1.20 ------ Preprocessing...
% 4.16/1.20
% 4.16/1.20 % SZS status Theorem for theBenchmark.p
% 4.16/1.20
% 4.16/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.20
% 4.16/1.20
%------------------------------------------------------------------------------