TSTP Solution File: ITP345_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:30:42 EDT 2024
% Result : Theorem 2.37s 1.07s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.15 % Command : run_iprover %s %d THM
% 0.10/0.35 % Computer : n032.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Thu May 2 22:07:54 EDT 2024
% 0.10/0.35 % CPUTime :
% 0.16/0.43 Running TFA theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.37/1.07 % SZS status Started for theBenchmark.p
% 2.37/1.07 % SZS status Theorem for theBenchmark.p
% 2.37/1.07
% 2.37/1.07 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.37/1.07
% 2.37/1.07 ------ iProver source info
% 2.37/1.07
% 2.37/1.07 git: date: 2024-05-02 19:28:25 +0000
% 2.37/1.07 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.37/1.07 git: non_committed_changes: false
% 2.37/1.07
% 2.37/1.07 ------ Parsing...
% 2.37/1.07 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.37/1.07
% 2.37/1.07 ------ Preprocessing...
% 2.37/1.07
% 2.37/1.07 % SZS status Theorem for theBenchmark.p
% 2.37/1.07
% 2.37/1.07 % SZS output start CNFRefutation for theBenchmark.p
% 2.37/1.07
% 2.37/1.07 tff(f7,conjecture,(
% 2.37/1.07 ~'fun_app$d'('finite$','solution_set$'('a$','zero$')) <=> $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$'))))),
% 2.37/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture6)).
% 2.37/1.07
% 2.37/1.07 tff(f8,negated_conjecture,(
% 2.37/1.07 ~(~'fun_app$d'('finite$','solution_set$'('a$','zero$')) <=> $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))))),
% 2.37/1.07 inference(negated_conjecture,[],[f7])).
% 2.37/1.07
% 2.37/1.07 tff(f12,axiom,(
% 2.37/1.07 ! [X0 : 'A_n_vec_rows_vec$'] : ($less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0,'zero$')))) => ~'fun_app$d'('finite$','solution_set$'(X0,'zero$')))),
% 2.37/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom10)).
% 2.37/1.07
% 2.37/1.07 tff(f14,axiom,(
% 2.37/1.07 ! [X0 : 'A_n_vec_rows_vec$'] : (~'fun_app$d'('finite$','solution_set$'(X0,'zero$')) => $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0,'zero$')))))),
% 2.37/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom12)).
% 2.37/1.07
% 2.37/1.07 tff(f960,plain,(
% 2.37/1.07 ~'fun_app$d'('finite$','solution_set$'('a$','zero$')) <~> $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$'))))),
% 2.37/1.07 inference(ennf_transformation,[],[f8])).
% 2.37/1.07
% 2.37/1.07 tff(f962,plain,(
% 2.37/1.07 ! [X0 : 'A_n_vec_rows_vec$'] : (~'fun_app$d'('finite$','solution_set$'(X0,'zero$')) | ~$less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0,'zero$')))))),
% 2.37/1.07 inference(ennf_transformation,[],[f12])).
% 2.37/1.07
% 2.37/1.07 tff(f964,plain,(
% 2.37/1.07 ! [X0 : 'A_n_vec_rows_vec$'] : ($less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0,'zero$')))) | 'fun_app$d'('finite$','solution_set$'(X0,'zero$')))),
% 2.37/1.07 inference(ennf_transformation,[],[f14])).
% 2.37/1.07
% 2.37/1.07 tff(f1442,plain,(
% 2.37/1.07 (~$less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))) | 'fun_app$d'('finite$','solution_set$'('a$','zero$'))) & ($less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))) | ~'fun_app$d'('finite$','solution_set$'('a$','zero$')))),
% 2.37/1.07 inference(nnf_transformation,[],[f960])).
% 2.37/1.07
% 2.37/1.07 tff(f2033,plain,(
% 2.37/1.07 $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))) | ~'fun_app$d'('finite$','solution_set$'('a$','zero$'))),
% 2.37/1.07 inference(cnf_transformation,[],[f1442])).
% 2.37/1.07
% 2.37/1.07 tff(f2034,plain,(
% 2.37/1.07 ~$less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))) | 'fun_app$d'('finite$','solution_set$'('a$','zero$'))),
% 2.37/1.07 inference(cnf_transformation,[],[f1442])).
% 2.37/1.07
% 2.37/1.07 tff(f2038,plain,(
% 2.37/1.07 ( ! [X0 : 'A_n_vec_rows_vec$'] : (~'fun_app$d'('finite$','solution_set$'(X0,'zero$')) | ~$less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0,'zero$'))))) )),
% 2.37/1.07 inference(cnf_transformation,[],[f962])).
% 2.37/1.07
% 2.37/1.07 tff(f2040,plain,(
% 2.37/1.07 ( ! [X0 : 'A_n_vec_rows_vec$'] : ($less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0,'zero$')))) | 'fun_app$d'('finite$','solution_set$'(X0,'zero$'))) )),
% 2.37/1.07 inference(cnf_transformation,[],[f964])).
% 2.37/1.07
% 2.37/1.07 cnf(c_96,negated_conjecture,
% 2.37/1.07 (~$less_int(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$'))))|
% 2.37/1.07 'fun_app$d'('finite$','solution_set$'('a$','zero$'))),
% 2.37/1.07 inference(cnf_transformation,[],[f2034])).
% 2.37/1.07
% 2.37/1.07 cnf(c_97,negated_conjecture,
% 2.37/1.07 (~'fun_app$d'('finite$','solution_set$'('a$','zero$'))|$less_int(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$'))))),
% 2.37/1.07 inference(cnf_transformation,[],[f2033])).
% 2.37/1.07
% 2.37/1.07 cnf(c_101,plain,
% 2.37/1.07 (~$less_int(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0_34,'zero$'))))|
% 2.37/1.07 ~'fun_app$d'('finite$','solution_set$'(X0_34,'zero$'))),
% 2.37/1.07 inference(cnf_transformation,[],[f2038])).
% 2.37/1.07
% 2.37/1.07 cnf(c_103,plain,
% 2.37/1.07 ($less_int(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X0_34,'zero$'))))|
% 2.37/1.07 'fun_app$d'('finite$','solution_set$'(X0_34,'zero$'))),
% 2.37/1.07 inference(cnf_transformation,[],[f2040])).
% 2.37/1.07
% 2.37/1.07 cnf(c_1334,plain,
% 2.37/1.07 ($less_int(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$'))))|
% 2.37/1.07 'fun_app$d'('finite$','solution_set$'('a$','zero$'))),
% 2.37/1.07 inference(instantiation,[status(thm)],[c_103])).
% 2.37/1.07
% 2.37/1.07 cnf(c_1374,plain,
% 2.37/1.07 (~$less_int(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$'))))|
% 2.37/1.07 ~'fun_app$d'('finite$','solution_set$'('a$','zero$'))),
% 2.37/1.07 inference(instantiation,[status(thm)],[c_101])).
% 2.37/1.07
% 2.37/1.07 cnf(c_1482,plain,
% 2.37/1.07 ($false),
% 2.37/1.07 inference(prop_impl_just,[status(thm)],[c_1374,c_96,c_97,c_1334])).
% 2.37/1.07
% 2.37/1.07
% 2.37/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 2.37/1.07
% 2.37/1.07
%------------------------------------------------------------------------------