TSTP Solution File: ITP334_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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 : n007.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 02:30:40 EDT 2024

% Result   : Theorem 6.34s 1.64s
% Output   : CNFRefutation 6.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.10/0.34  % Computer : n007.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Thu May  2 21:41:35 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.16/0.44  Running TFA theorem proving
% 0.16/0.44  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
% 6.34/1.64  % SZS status Started for theBenchmark.p
% 6.34/1.64  % SZS status Theorem for theBenchmark.p
% 6.34/1.64  
% 6.34/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.34/1.64  
% 6.34/1.64  ------  iProver source info
% 6.34/1.64  
% 6.34/1.64  git: date: 2024-05-02 19:28:25 +0000
% 6.34/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.34/1.64  git: non_committed_changes: false
% 6.34/1.64  
% 6.34/1.64  ------ Parsing...
% 6.34/1.64  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 6.34/1.64  
% 6.34/1.64  ------ Preprocessing...
% 6.34/1.64  
% 6.34/1.64  % SZS status Theorem for theBenchmark.p
% 6.34/1.64  
% 6.34/1.64  % SZS output start CNFRefutation for theBenchmark.p
% 6.34/1.64  
% 6.34/1.64  tff(f8,conjecture,(
% 6.34/1.64    (~$less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) => $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$')))) & ($less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) => $less(0,'fun_app$h'('of_nat$','card$'('top$'))))),
% 6.34/1.64    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture7)).
% 6.34/1.64  
% 6.34/1.64  tff(f9,negated_conjecture,(
% 6.34/1.64    ~((~$less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) => $less($difference('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)),'fun_app$h'('of_nat$','card$'('top$')))) & ($less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) => $less(0,'fun_app$h'('of_nat$','card$'('top$')))))),
% 6.34/1.64    inference(negated_conjecture,[],[f8])).
% 6.34/1.64  
% 6.34/1.64  tff(f591,axiom,(
% 6.34/1.64    $less(0,'fun_app$h'('of_nat$','card$'('top$')))),
% 6.34/1.64    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom589)).
% 6.34/1.64  
% 6.34/1.64  tff(f625,plain,(
% 6.34/1.64    ~((~$less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) => $less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$')))) & ($less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)) => $less(0,'fun_app$h'('of_nat$','card$'('top$')))))),
% 6.34/1.64    inference(theory_normalization,[],[f9])).
% 6.34/1.64  
% 6.34/1.64  tff(f964,plain,(
% 6.34/1.64    (~$less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) & ~$less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))) | (~$less(0,'fun_app$h'('of_nat$','card$'('top$'))) & $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1)))),
% 6.34/1.64    inference(ennf_transformation,[],[f625])).
% 6.34/1.64  
% 6.34/1.64  tff(f1999,plain,(
% 6.34/1.64    ~$less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) | $less('fun_app$h'('of_nat$','card$'('top$')),$sum(0,1))),
% 6.34/1.64    inference(cnf_transformation,[],[f964])).
% 6.34/1.64  
% 6.34/1.64  tff(f2000,plain,(
% 6.34/1.64    ~$less($sum('fun_app$h'('of_nat$','card$'('top$')),$uminus($sum(0,1))),'fun_app$h'('of_nat$','card$'('top$'))) | ~$less(0,'fun_app$h'('of_nat$','card$'('top$')))),
% 6.34/1.64    inference(cnf_transformation,[],[f964])).
% 6.34/1.64  
% 6.34/1.64  tff(f3099,plain,(
% 6.34/1.64    $less(0,'fun_app$h'('of_nat$','card$'('top$')))),
% 6.34/1.64    inference(cnf_transformation,[],[f591])).
% 6.34/1.64  
% 6.34/1.64  cnf(c_74,negated_conjecture,
% 6.34/1.64      (~$less_int($sum_int('fun_app$h'('of_nat$','card$'('top$')),$uminus_int($sum_int(0,1))),'fun_app$h'('of_nat$','card$'('top$')))|
% 6.34/1.64      ~$less_int(0,'fun_app$h'('of_nat$','card$'('top$')))),
% 6.34/1.64      inference(cnf_transformation,[],[f2000])).
% 6.34/1.64  
% 6.34/1.64  cnf(c_75,negated_conjecture,
% 6.34/1.64      (~$less_int($sum_int('fun_app$h'('of_nat$','card$'('top$')),$uminus_int($sum_int(0,1))),'fun_app$h'('of_nat$','card$'('top$')))|
% 6.34/1.64      $less_int('fun_app$h'('of_nat$','card$'('top$')),$sum_int(0,1))),
% 6.34/1.64      inference(cnf_transformation,[],[f1999])).
% 6.34/1.64  
% 6.34/1.64  cnf(c_1019,plain,
% 6.34/1.64      ($less_int(0,'fun_app$h'('of_nat$','card$'('top$')))),
% 6.34/1.64      inference(cnf_transformation,[],[f3099])).
% 6.34/1.64  
% 6.34/1.64  cnf(c_1449,negated_conjecture,
% 6.34/1.64      (~$less_int($sum_int('fun_app$h'('of_nat$','card$'('top$')),$uminus_int($sum_int(0,1))),'fun_app$h'('of_nat$','card$'('top$')))),
% 6.34/1.64      inference(global_subsumption_just,[status(thm)],[c_75,c_1019,c_74])).
% 6.34/1.64  
% 6.34/1.64  cnf(c_6860,plain,
% 6.34/1.64      ($false),
% 6.34/1.64      inference(smt_theory_normalisation,[status(thm)],[c_1449])).
% 6.34/1.64  
% 6.34/1.64  
% 6.34/1.64  % SZS output end CNFRefutation for theBenchmark.p
% 6.34/1.64  
% 6.34/1.64  
%------------------------------------------------------------------------------