TSTP Solution File: ARI174_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI174_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 02:06:24 EDT 2024

% Result   : Theorem 2.83s 1.16s
% Output   : CNFRefutation 2.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ARI174_1 : TPTP v8.1.2. Released v5.0.0.
% 0.14/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 01:05:03 EDT 2024
% 0.14/0.35  % 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
% 2.83/1.16  % SZS status Started for theBenchmark.p
% 2.83/1.16  % SZS status Theorem for theBenchmark.p
% 2.83/1.16  
% 2.83/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.83/1.16  
% 2.83/1.16  ------  iProver source info
% 2.83/1.16  
% 2.83/1.16  git: date: 2024-05-02 19:28:25 +0000
% 2.83/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.83/1.16  git: non_committed_changes: false
% 2.83/1.16  
% 2.83/1.16  ------ Parsing...
% 2.83/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.83/1.16  
% 2.83/1.16  ------ 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 
% 2.83/1.16  
% 2.83/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.83/1.16  
% 2.83/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.83/1.16  ------ Proving...
% 2.83/1.16  ------ Problem Properties 
% 2.83/1.16  
% 2.83/1.16  
% 2.83/1.16  clauses                                 22
% 2.83/1.16  conjectures                             1
% 2.83/1.16  EPR                                     7
% 2.83/1.16  Horn                                    19
% 2.83/1.16  unary                                   17
% 2.83/1.16  binary                                  2
% 2.83/1.16  lits                                    30
% 2.83/1.16  lits eq                                 16
% 2.83/1.16  fd_pure                                 0
% 2.83/1.16  fd_pseudo                               0
% 2.83/1.16  fd_cond                                 0
% 2.83/1.16  fd_pseudo_cond                          2
% 2.83/1.16  AC symbols                              2
% 2.83/1.16  
% 2.83/1.16  ------ Input Options Time Limit: Unbounded
% 2.83/1.16  
% 2.83/1.16  
% 2.83/1.16  ------ 
% 2.83/1.16  Current options:
% 2.83/1.16  ------ 
% 2.83/1.16  
% 2.83/1.16  
% 2.83/1.16  
% 2.83/1.16  
% 2.83/1.16  ------ Proving...
% 2.83/1.16  
% 2.83/1.16  
% 2.83/1.16  % SZS status Theorem for theBenchmark.p
% 2.83/1.16  
% 2.83/1.16  % SZS output start CNFRefutation for theBenchmark.p
% 2.83/1.16  
% 2.83/1.16  tff(f1,conjecture,(
% 2.83/1.16    ? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 24),
% 2.83/1.16    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 2.83/1.16  
% 2.83/1.16  tff(f2,negated_conjecture,(
% 2.83/1.16    ~? [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) = 24),
% 2.83/1.16    inference(negated_conjecture,[],[f1])).
% 2.83/1.16  
% 2.83/1.16  tff(f3,plain,(
% 2.83/1.16    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.83/1.16    introduced(theory_axiom_138,[])).
% 2.83/1.16  
% 2.83/1.16  tff(f4,plain,(
% 2.83/1.16    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.83/1.16    introduced(theory_axiom_139,[])).
% 2.83/1.16  
% 2.83/1.16  tff(f14,plain,(
% 2.83/1.16    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.83/1.17    introduced(theory_axiom_138,[])).
% 2.83/1.17  
% 2.83/1.17  tff(f15,plain,(
% 2.83/1.17    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.83/1.17    introduced(theory_axiom_139,[])).
% 2.83/1.17  
% 2.83/1.17  tff(f17,plain,(
% 2.83/1.17    ( ! [X0 : $int] : (0 = $product(X0,0)) )),
% 2.83/1.17    introduced(theory_axiom_152,[])).
% 2.83/1.17  
% 2.83/1.17  tff(f21,plain,(
% 2.83/1.17    ! [X0 : $int,X1 : $int] : $sum($product(3,X0),$product(5,X1)) != 24),
% 2.83/1.17    inference(ennf_transformation,[],[f2])).
% 2.83/1.17  
% 2.83/1.17  tff(f22,plain,(
% 2.83/1.17    ( ! [X0 : $int,X1 : $int] : ($sum($product(3,X0),$product(5,X1)) != 24) )),
% 2.83/1.17    inference(cnf_transformation,[],[f21])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_52,plain,
% 2.83/1.17      ($product_int(X0_3,0) = 0),
% 2.83/1.17      inference(cnf_transformation,[],[f17])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_54,plain,
% 2.83/1.17      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.83/1.17      inference(cnf_transformation,[],[f15])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_55,plain,
% 2.83/1.17      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.83/1.17      inference(cnf_transformation,[],[f14])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_65,plain,
% 2.83/1.17      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.83/1.17      inference(cnf_transformation,[],[f4])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_66,plain,
% 2.83/1.17      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.83/1.17      inference(cnf_transformation,[],[f3])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_67,negated_conjecture,
% 2.83/1.17      ($sum_int($product_int(3,X0_3),$product_int(5,X1_3)) != 24),
% 2.83/1.17      inference(cnf_transformation,[],[f22])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_650,plain,
% 2.83/1.17      ($sum_int($product_int(3,X0_3),0) != 24),
% 2.83/1.17      inference(superposition,[status(thm)],[c_52,c_67])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_651,plain,
% 2.83/1.17      ($sum_int(0,$product_int(3,X0_3)) != 24),
% 2.83/1.17      inference(theory_normalisation,[status(thm)],[c_650,c_65,c_66,c_54,c_55])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_718,plain,
% 2.83/1.17      (X0_3 != 8),
% 2.83/1.17      inference(smt_theory_normalisation,[status(thm)],[c_651])).
% 2.83/1.17  
% 2.83/1.17  cnf(c_720,plain,
% 2.83/1.17      ($false),
% 2.83/1.17      inference(equality_resolution,[status(thm)],[c_718])).
% 2.83/1.17  
% 2.83/1.17  
% 2.83/1.17  % SZS output end CNFRefutation for theBenchmark.p
% 2.83/1.17  
% 2.83/1.17  
%------------------------------------------------------------------------------