TSTP Solution File: ARI671_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI671_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   : Unsatisfiable 0.46s 1.13s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ARI671_1 : TPTP v8.1.2. Released v6.3.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 01:01:34 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running TFA theorem proving
% 0.20/0.46  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
% 0.46/1.13  % SZS status Started for theBenchmark.p
% 0.46/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.13  
% 0.46/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.13  
% 0.46/1.13  ------  iProver source info
% 0.46/1.13  
% 0.46/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.13  git: non_committed_changes: false
% 0.46/1.13  
% 0.46/1.13  ------ Parsing...
% 0.46/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.13  
% 0.46/1.13  ------ 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 
% 0.46/1.13  
% 0.46/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.13  
% 0.46/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.13  ------ Proving...
% 0.46/1.13  ------ Problem Properties 
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  clauses                                 20
% 0.46/1.13  conjectures                             0
% 0.46/1.13  EPR                                     5
% 0.46/1.13  Horn                                    17
% 0.46/1.13  unary                                   15
% 0.46/1.13  binary                                  2
% 0.46/1.13  lits                                    28
% 0.46/1.13  lits eq                                 16
% 0.46/1.13  fd_pure                                 0
% 0.46/1.13  fd_pseudo                               0
% 0.46/1.13  fd_cond                                 0
% 0.46/1.13  fd_pseudo_cond                          2
% 0.46/1.13  AC symbols                              2
% 0.46/1.13  
% 0.46/1.13  ------ Input Options Time Limit: Unbounded
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  ------ 
% 0.46/1.13  Current options:
% 0.46/1.13  ------ 
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  ------ Proving...
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.13  
% 0.46/1.13  % SZS output start CNFRefutation for theBenchmark.p
% 0.46/1.13  
% 0.46/1.13  tff(f1,axiom,(
% 0.46/1.13    $product(a,a) = 2),
% 0.46/1.13    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.46/1.13  
% 0.46/1.13  tff(f2,plain,(
% 0.46/1.13    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.46/1.13    introduced(theory_axiom_138,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f3,plain,(
% 0.46/1.13    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.46/1.13    introduced(theory_axiom_139,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f13,plain,(
% 0.46/1.13    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.46/1.13    introduced(theory_axiom_138,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f14,plain,(
% 0.46/1.13    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.46/1.13    introduced(theory_axiom_139,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f15,plain,(
% 0.46/1.13    ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.46/1.13    introduced(theory_axiom_140,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f17,plain,(
% 0.46/1.13    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 0.46/1.13    introduced(theory_axiom_153,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f18,plain,(
% 0.46/1.13    ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 0.46/1.13    introduced(theory_axiom_154,[])).
% 0.46/1.13  
% 0.46/1.13  tff(f20,plain,(
% 0.46/1.13    $product(a,a) = 2),
% 0.46/1.13    inference(cnf_transformation,[],[f1])).
% 0.46/1.13  
% 0.46/1.13  tff(f21,plain,(
% 0.46/1.13    ( ! [X2 : $int,X3 : $int,X0 : $int] : (0 = X0 | $product(X0,X2) != $product(X0,X3) | X2 = X3) )),
% 0.46/1.13    inference(equality_resolution,[],[f18])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_50,plain,
% 0.46/1.13      ($product_int(X0_3,X1_3) != $product_int(X0_3,X2_3)|X0_3 = 0|X1_3 = X2_3),
% 0.46/1.13      inference(cnf_transformation,[],[f21])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_51,plain,
% 0.46/1.13      ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.46/1.13      inference(cnf_transformation,[],[f17])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_53,plain,
% 0.46/1.13      ($product_int(X0_3,1) = X0_3),
% 0.46/1.13      inference(cnf_transformation,[],[f15])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_54,plain,
% 0.46/1.13      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.46/1.13      inference(cnf_transformation,[],[f14])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_55,plain,
% 0.46/1.13      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.46/1.13      inference(cnf_transformation,[],[f13])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_65,plain,
% 0.46/1.13      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.46/1.13      inference(cnf_transformation,[],[f3])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_66,plain,
% 0.46/1.13      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.46/1.13      inference(cnf_transformation,[],[f2])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_67,plain,
% 0.46/1.13      ($product_int(a,a) = 2),
% 0.46/1.13      inference(cnf_transformation,[],[f20])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_629,plain,
% 0.46/1.13      ($product_int(X0_3,X1_3) != X0_3|X0_3 = 0|X1_3 = 1),
% 0.46/1.13      inference(superposition,[status(thm)],[c_53,c_50])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_766,plain,
% 0.46/1.13      ($sum_int($product_int(a,X0_3),2) = $product_int(a,$sum_int(X0_3,a))),
% 0.46/1.13      inference(superposition,[status(thm)],[c_67,c_51])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_774,plain,
% 0.46/1.13      ($sum_int(2,$product_int(a,X0_3)) = $product_int(a,$sum_int(X0_3,a))),
% 0.46/1.13      inference(theory_normalisation,[status(thm)],[c_766,c_65,c_66,c_54,c_55])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_2414,plain,
% 0.46/1.13      (a != 2|a = 1|a = 0),
% 0.46/1.13      inference(superposition,[status(thm)],[c_67,c_629])).
% 0.46/1.13  
% 0.46/1.13  cnf(c_4894,plain,
% 0.46/1.13      ($false),
% 0.46/1.13      inference(smt_impl_just,[status(thm)],[c_2414,c_774])).
% 0.46/1.13  
% 0.46/1.13  
% 0.46/1.13  % SZS output end CNFRefutation for theBenchmark.p
% 0.46/1.13  
% 0.46/1.13  
%------------------------------------------------------------------------------