TSTP Solution File: ARI653_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI653_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 02:07:28 EDT 2024

% Result   : Unsatisfiable 0.51s 1.18s
% Output   : CNFRefutation 1.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ARI653_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri May  3 00:58:19 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.23/0.50  Running TFA theorem proving
% 0.23/0.50  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
% 0.51/1.18  % SZS status Started for theBenchmark.p
% 0.51/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.18  
% 0.51/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.51/1.18  
% 0.51/1.18  ------  iProver source info
% 0.51/1.18  
% 0.51/1.18  git: date: 2024-05-02 19:28:25 +0000
% 0.51/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.51/1.18  git: non_committed_changes: false
% 0.51/1.18  
% 0.51/1.18  ------ Parsing...
% 0.51/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.51/1.18  
% 0.51/1.18  ------ Preprocessing... sup_sim: 3  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 
% 0.51/1.18  
% 0.51/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.51/1.18  
% 0.51/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.51/1.18  ------ Proving...
% 0.51/1.18  ------ Problem Properties 
% 0.51/1.18  
% 0.51/1.18  
% 0.51/1.18  clauses                                 23
% 0.51/1.18  conjectures                             0
% 0.51/1.18  EPR                                     9
% 0.51/1.18  Horn                                    20
% 0.51/1.18  unary                                   18
% 0.51/1.18  binary                                  2
% 0.51/1.18  lits                                    31
% 0.51/1.18  lits eq                                 15
% 0.51/1.18  fd_pure                                 0
% 0.51/1.18  fd_pseudo                               0
% 0.51/1.18  fd_cond                                 0
% 0.51/1.18  fd_pseudo_cond                          2
% 0.51/1.18  AC symbols                              2
% 0.51/1.18  
% 0.51/1.18  ------ Input Options Time Limit: Unbounded
% 0.51/1.18  
% 0.51/1.18  
% 0.51/1.18  ------ 
% 0.51/1.18  Current options:
% 0.51/1.18  ------ 
% 0.51/1.18  
% 0.51/1.18  
% 0.51/1.18  
% 0.51/1.18  
% 0.51/1.18  ------ Proving...
% 0.51/1.18  
% 0.51/1.18  
% 0.51/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 0.51/1.18  
% 0.51/1.18  % SZS output start CNFRefutation for theBenchmark.p
% 0.51/1.18  
% 0.51/1.18  tff(f1,axiom,(
% 0.51/1.18    $greatereq(6,$product(7,a))),
% 0.51/1.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.51/1.18  
% 0.51/1.18  tff(f2,axiom,(
% 0.51/1.18    $lesseq(1,$product(5,a))),
% 0.51/1.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001)).
% 0.51/1.18  
% 0.51/1.18  tff(f3,plain,(
% 0.51/1.18    ~$less(6,$product(7,a))),
% 0.51/1.18    inference(theory_normalization,[],[f1])).
% 0.51/1.18  
% 0.51/1.18  tff(f4,plain,(
% 0.51/1.18    ~$less($product(5,a),1)),
% 0.51/1.18    inference(theory_normalization,[],[f2])).
% 0.51/1.18  
% 0.51/1.18  tff(f5,plain,(
% 0.51/1.18    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.51/1.18    introduced(theory_axiom_138,[])).
% 0.51/1.18  
% 0.51/1.18  tff(f6,plain,(
% 0.51/1.18    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.51/1.18    introduced(theory_axiom_139,[])).
% 0.51/1.18  
% 0.51/1.18  tff(f7,plain,(
% 0.51/1.18    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.51/1.18    introduced(theory_axiom_140,[])).
% 0.51/1.18  
% 0.51/1.18  tff(f14,plain,(
% 0.51/1.18    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.51/1.18    introduced(theory_axiom_150,[])).
% 0.51/1.18  
% 0.51/1.18  tff(f16,plain,(
% 0.51/1.18    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.51/1.18    introduced(theory_axiom_138,[])).
% 0.51/1.18  
% 0.51/1.18  tff(f17,plain,(
% 0.51/1.18    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.51/1.18    introduced(theory_axiom_139,[])).
% 0.51/1.18  
% 0.51/1.18  tff(f23,plain,(
% 0.51/1.18    ~$less(6,$product(7,a))),
% 0.51/1.18    inference(cnf_transformation,[],[f3])).
% 0.51/1.18  
% 0.51/1.18  tff(f24,plain,(
% 0.51/1.18    ~$less($product(5,a),1)),
% 0.51/1.18    inference(cnf_transformation,[],[f4])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_54,plain,
% 0.51/1.18      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.51/1.18      inference(cnf_transformation,[],[f17])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_55,plain,
% 0.51/1.18      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.51/1.18      inference(cnf_transformation,[],[f16])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_57,plain,
% 0.51/1.18      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 0.51/1.18      inference(cnf_transformation,[],[f14])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_64,plain,
% 0.51/1.18      ($sum_int(X0_3,0) = X0_3),
% 0.51/1.18      inference(cnf_transformation,[],[f7])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_65,plain,
% 0.51/1.18      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.51/1.18      inference(cnf_transformation,[],[f6])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_66,plain,
% 0.51/1.18      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.51/1.18      inference(cnf_transformation,[],[f5])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_67,plain,
% 0.51/1.18      (~$less_int(6,$product_int(7,a))),
% 0.51/1.18      inference(cnf_transformation,[],[f23])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_68,plain,
% 0.51/1.18      (~$less_int($product_int(5,a),1)),
% 0.51/1.18      inference(cnf_transformation,[],[f24])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_88,plain,
% 0.51/1.18      (~$less_int(6,$product_int(a,7))),
% 0.51/1.18      inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_89,plain,
% 0.51/1.18      (~$less_int($product_int(a,5),1)),
% 0.51/1.18      inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 0.51/1.18  
% 0.51/1.18  cnf(c_197,plain,
% 0.51/1.18      (~$less_int(a,1)),
% 0.51/1.18      inference(smt_theory_normalisation,[status(thm)],[c_89])).
% 1.50/1.18  
% 1.50/1.18  cnf(c_198,plain,
% 1.50/1.18      (~$less_int(0,a)),
% 1.50/1.18      inference(smt_theory_normalisation,[status(thm)],[c_88])).
% 1.50/1.18  
% 1.50/1.18  cnf(c_723,plain,
% 1.50/1.18      ($sum_int(0,X0_3) = X0_3),
% 1.50/1.18      inference(superposition,[status(thm)],[c_66,c_64])).
% 1.50/1.18  
% 1.50/1.18  cnf(c_735,plain,
% 1.50/1.18      ($less_int(X0_3,1)|$less_int(0,X0_3)),
% 1.50/1.18      inference(superposition,[status(thm)],[c_723,c_57])).
% 1.50/1.18  
% 1.50/1.18  cnf(c_749,plain,
% 1.50/1.18      ($less_int(0,a)),
% 1.50/1.18      inference(superposition,[status(thm)],[c_735,c_197])).
% 1.50/1.18  
% 1.50/1.18  cnf(c_750,plain,
% 1.50/1.18      ($false),
% 1.50/1.18      inference(forward_subsumption_resolution,[status(thm)],[c_749,c_198])).
% 1.50/1.18  
% 1.50/1.18  
% 1.50/1.18  % SZS output end CNFRefutation for theBenchmark.p
% 1.50/1.18  
% 1.50/1.18  
%------------------------------------------------------------------------------