TSTP Solution File: NUM918_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM918_1 : TPTP v8.1.2. Released v5.0.0.
% 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 02:51:05 EDT 2024

% Result   : Theorem 2.97s 1.17s
% Output   : CNFRefutation 2.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUM918_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 19:41:35 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  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
% 2.97/1.17  % SZS status Started for theBenchmark.p
% 2.97/1.17  % SZS status Theorem for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.97/1.17  
% 2.97/1.17  ------  iProver source info
% 2.97/1.17  
% 2.97/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.97/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.97/1.17  git: non_committed_changes: false
% 2.97/1.17  
% 2.97/1.17  ------ Parsing...
% 2.97/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.97/1.17  
% 2.97/1.17  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.97/1.17  
% 2.97/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.97/1.17  
% 2.97/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.97/1.17  ------ Proving...
% 2.97/1.17  ------ Problem Properties 
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  clauses                                 13
% 2.97/1.17  conjectures                             1
% 2.97/1.17  EPR                                     4
% 2.97/1.17  Horn                                    11
% 2.97/1.17  unary                                   9
% 2.97/1.17  binary                                  2
% 2.97/1.17  lits                                    19
% 2.97/1.17  lits eq                                 8
% 2.97/1.17  fd_pure                                 0
% 2.97/1.17  fd_pseudo                               0
% 2.97/1.17  fd_cond                                 0
% 2.97/1.17  fd_pseudo_cond                          1
% 2.97/1.17  AC symbols                              1
% 2.97/1.17  
% 2.97/1.17  ------ Input Options Time Limit: Unbounded
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  ------ 
% 2.97/1.17  Current options:
% 2.97/1.17  ------ 
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  ------ Proving...
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  % SZS status Theorem for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  % SZS output start CNFRefutation for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  tff(f1,conjecture,(
% 2.97/1.17    ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $difference(X2,X0) = X1),
% 2.97/1.17    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 2.97/1.17  
% 2.97/1.17  tff(f2,negated_conjecture,(
% 2.97/1.17    ~! [X0 : $int,X1 : $int] : ? [X2 : $int] : $difference(X2,X0) = X1),
% 2.97/1.17    inference(negated_conjecture,[],[f1])).
% 2.97/1.17  
% 2.97/1.17  tff(f3,plain,(
% 2.97/1.17    ~! [X0 : $int,X1 : $int] : ? [X2 : $int] : $sum(X2,$uminus(X0)) = X1),
% 2.97/1.17    inference(theory_normalization,[],[f2])).
% 2.97/1.17  
% 2.97/1.17  tff(f4,plain,(
% 2.97/1.17    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.97/1.17    introduced(theory_axiom_138,[])).
% 2.97/1.17  
% 2.97/1.17  tff(f5,plain,(
% 2.97/1.17    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.97/1.17    introduced(theory_axiom_139,[])).
% 2.97/1.17  
% 2.97/1.17  tff(f6,plain,(
% 2.97/1.17    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 2.97/1.17    introduced(theory_axiom_140,[])).
% 2.97/1.17  
% 2.97/1.17  tff(f8,plain,(
% 2.97/1.17    ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 2.97/1.17    introduced(theory_axiom_143,[])).
% 2.97/1.17  
% 2.97/1.17  tff(f16,plain,(
% 2.97/1.17    ? [X0 : $int,X1 : $int] : ! [X2 : $int] : $sum(X2,$uminus(X0)) != X1),
% 2.97/1.17    inference(ennf_transformation,[],[f3])).
% 2.97/1.17  
% 2.97/1.17  tff(f17,plain,(
% 2.97/1.17    ? [X0 : $int,X1 : $int] : ! [X2 : $int] : $sum(X2,$uminus(X0)) != X1 => ! [X2 : $int] : sK1 != $sum(X2,$uminus(sK0))),
% 2.97/1.17    introduced(choice_axiom,[])).
% 2.97/1.17  
% 2.97/1.17  tff(f18,plain,(
% 2.97/1.17    ! [X2 : $int] : sK1 != $sum(X2,$uminus(sK0))),
% 2.97/1.17    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17])).
% 2.97/1.17  
% 2.97/1.17  tff(f19,plain,(
% 2.97/1.17    ( ! [X2 : $int] : (sK1 != $sum(X2,$uminus(sK0))) )),
% 2.97/1.17    inference(cnf_transformation,[],[f18])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_56,plain,
% 2.97/1.17      ($sum_int(X0_3,$uminus_int(X0_3)) = 0),
% 2.97/1.17      inference(cnf_transformation,[],[f8])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_58,plain,
% 2.97/1.17      ($sum_int(X0_3,0) = X0_3),
% 2.97/1.17      inference(cnf_transformation,[],[f6])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_59,plain,
% 2.97/1.17      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.97/1.17      inference(cnf_transformation,[],[f5])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_60,plain,
% 2.97/1.17      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.97/1.17      inference(cnf_transformation,[],[f4])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_61,negated_conjecture,
% 2.97/1.17      ($sum_int(X0_3,$uminus_int(sK0)) != sK1),
% 2.97/1.17      inference(cnf_transformation,[],[f19])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_467,plain,
% 2.97/1.17      ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 2.97/1.17      inference(superposition,[status(thm)],[c_59,c_60])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_490,plain,
% 2.97/1.17      ($sum_int($uminus_int(sK0),X0_3) != sK1),
% 2.97/1.17      inference(superposition,[status(thm)],[c_60,c_61])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_590,plain,
% 2.97/1.17      ($sum_int(X0_3,$sum_int($uminus_int(sK0),X1_3)) != sK1),
% 2.97/1.17      inference(superposition,[status(thm)],[c_467,c_490])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_600,plain,
% 2.97/1.17      ($sum_int(X0_3,0) != sK1),
% 2.97/1.17      inference(superposition,[status(thm)],[c_56,c_590])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_605,plain,
% 2.97/1.17      (X0_3 != sK1),
% 2.97/1.17      inference(light_normalisation,[status(thm)],[c_600,c_58])).
% 2.97/1.17  
% 2.97/1.17  cnf(c_607,plain,
% 2.97/1.17      ($false),
% 2.97/1.17      inference(equality_resolution,[status(thm)],[c_605])).
% 2.97/1.17  
% 2.97/1.17  
% 2.97/1.17  % SZS output end CNFRefutation for theBenchmark.p
% 2.97/1.17  
% 2.97/1.17  
%------------------------------------------------------------------------------