TSTP Solution File: ARI667_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI667_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n013.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 02:07:30 EDT 2024

% Result   : Theorem 3.39s 1.10s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : ARI667_1 : TPTP v8.1.2. Released v6.3.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n013.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 00:56:34 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running TFA theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.39/1.10  % SZS status Started for theBenchmark.p
% 3.39/1.10  % SZS status Theorem for theBenchmark.p
% 3.39/1.10  
% 3.39/1.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.39/1.10  
% 3.39/1.10  ------  iProver source info
% 3.39/1.10  
% 3.39/1.10  git: date: 2024-05-02 19:28:25 +0000
% 3.39/1.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.39/1.10  git: non_committed_changes: false
% 3.39/1.10  
% 3.39/1.10  ------ Parsing...
% 3.39/1.10  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.39/1.10  
% 3.39/1.10  ------ 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 
% 3.39/1.10  
% 3.39/1.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.39/1.10  
% 3.39/1.10  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.39/1.10  ------ Proving...
% 3.39/1.10  ------ Problem Properties 
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  clauses                                 25
% 3.39/1.10  conjectures                             2
% 3.39/1.10  EPR                                     8
% 3.39/1.10  Horn                                    22
% 3.39/1.10  unary                                   20
% 3.39/1.10  binary                                  2
% 3.39/1.10  lits                                    33
% 3.39/1.10  lits eq                                 16
% 3.39/1.10  fd_pure                                 0
% 3.39/1.10  fd_pseudo                               0
% 3.39/1.10  fd_cond                                 0
% 3.39/1.10  fd_pseudo_cond                          2
% 3.39/1.10  AC symbols                              2
% 3.39/1.10  
% 3.39/1.10  ------ Input Options Time Limit: Unbounded
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  ------ 
% 3.39/1.10  Current options:
% 3.39/1.10  ------ 
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  ------ Proving...
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  % SZS status Theorem for theBenchmark.p
% 3.39/1.10  
% 3.39/1.10  % SZS output start CNFRefutation for theBenchmark.p
% 3.39/1.10  
% 3.39/1.10  tff(f1,axiom,(
% 3.39/1.10    $sum($product(11,a),$product(7,b)) = 1),
% 3.39/1.10    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 3.39/1.10  
% 3.39/1.10  tff(f2,conjecture,(
% 3.39/1.10    $greatereq(-40,$product(a,b)) | $lesseq(-6,$product(a,b))),
% 3.39/1.10    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001)).
% 3.39/1.10  
% 3.39/1.10  tff(f3,negated_conjecture,(
% 3.39/1.10    ~($greatereq(-40,$product(a,b)) | $lesseq(-6,$product(a,b)))),
% 3.39/1.10    inference(negated_conjecture,[],[f2])).
% 3.39/1.10  
% 3.39/1.10  tff(f4,plain,(
% 3.39/1.10    ~(~$less(-40,$product(a,b)) | ~$less($product(a,b),-6))),
% 3.39/1.10    inference(theory_normalization,[],[f3])).
% 3.39/1.10  
% 3.39/1.10  tff(f5,plain,(
% 3.39/1.10    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.39/1.10    introduced(theory_axiom_138,[])).
% 3.39/1.10  
% 3.39/1.10  tff(f6,plain,(
% 3.39/1.10    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.39/1.10    introduced(theory_axiom_139,[])).
% 3.39/1.10  
% 3.39/1.10  tff(f16,plain,(
% 3.39/1.10    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.39/1.10    introduced(theory_axiom_138,[])).
% 3.39/1.10  
% 3.39/1.10  tff(f17,plain,(
% 3.39/1.10    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.39/1.10    introduced(theory_axiom_139,[])).
% 3.39/1.10  
% 3.39/1.10  tff(f23,plain,(
% 3.39/1.10    $less(-40,$product(a,b)) & $less($product(a,b),-6)),
% 3.39/1.10    inference(ennf_transformation,[],[f4])).
% 3.39/1.10  
% 3.39/1.10  tff(f24,plain,(
% 3.39/1.10    $sum($product(11,a),$product(7,b)) = 1),
% 3.39/1.10    inference(cnf_transformation,[],[f1])).
% 3.39/1.10  
% 3.39/1.10  tff(f25,plain,(
% 3.39/1.10    $less($product(a,b),-6)),
% 3.39/1.10    inference(cnf_transformation,[],[f23])).
% 3.39/1.10  
% 3.39/1.10  tff(f26,plain,(
% 3.39/1.10    $less(-40,$product(a,b))),
% 3.39/1.10    inference(cnf_transformation,[],[f23])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_54,plain,
% 3.39/1.10      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.39/1.10      inference(cnf_transformation,[],[f17])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_55,plain,
% 3.39/1.10      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.39/1.10      inference(cnf_transformation,[],[f16])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_65,plain,
% 3.39/1.10      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.39/1.10      inference(cnf_transformation,[],[f6])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_66,plain,
% 3.39/1.10      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.39/1.10      inference(cnf_transformation,[],[f5])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_67,plain,
% 3.39/1.10      ($sum_int($product_int(11,a),$product_int(7,b)) = 1),
% 3.39/1.10      inference(cnf_transformation,[],[f24])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_68,negated_conjecture,
% 3.39/1.10      ($less_int(-40,$product_int(a,b))),
% 3.39/1.10      inference(cnf_transformation,[],[f26])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_69,negated_conjecture,
% 3.39/1.10      ($less_int($product_int(a,b),-6)),
% 3.39/1.10      inference(cnf_transformation,[],[f25])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_90,plain,
% 3.39/1.10      ($sum_int($product_int(a,11),$product_int(b,7)) = 1),
% 3.39/1.10      inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_1125,plain,
% 3.39/1.10      ($sum_int($product_int(a,11),$sum_int($product_int(b,7),X0_3)) = $sum_int(1,X0_3)),
% 3.39/1.10      inference(superposition,[status(thm)],[c_90,c_65])).
% 3.39/1.10  
% 3.39/1.10  cnf(c_5708,plain,
% 3.39/1.10      ($false),
% 3.39/1.10      inference(smt_impl_just,[status(thm)],[c_1125,c_69,c_68])).
% 3.39/1.10  
% 3.39/1.10  
% 3.39/1.10  % SZS output end CNFRefutation for theBenchmark.p
% 3.39/1.10  
% 3.39/1.10  
%------------------------------------------------------------------------------