TSTP Solution File: ARI688_1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI688_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 02:07:33 EDT 2024

% Result   : Theorem 3.90s 1.20s
% Output   : CNFRefutation 3.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI688_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n024.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 : Fri May  3 00:55:35 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running TFA theorem proving
% 0.20/0.48  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
% 3.90/1.20  % SZS status Started for theBenchmark.p
% 3.90/1.20  % SZS status Theorem for theBenchmark.p
% 3.90/1.20  
% 3.90/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.90/1.20  
% 3.90/1.20  ------  iProver source info
% 3.90/1.20  
% 3.90/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.90/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.90/1.20  git: non_committed_changes: false
% 3.90/1.20  
% 3.90/1.20  ------ Parsing...
% 3.90/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.90/1.20  
% 3.90/1.20  ------ Preprocessing... sup_sim: 2  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 
% 3.90/1.20  
% 3.90/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.90/1.20  
% 3.90/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.90/1.20  ------ Proving...
% 3.90/1.20  ------ Problem Properties 
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  clauses                                 27
% 3.90/1.20  conjectures                             0
% 3.90/1.20  EPR                                     10
% 3.90/1.20  Horn                                    24
% 3.90/1.20  unary                                   22
% 3.90/1.20  binary                                  2
% 3.90/1.20  lits                                    35
% 3.90/1.20  lits eq                                 18
% 3.90/1.20  fd_pure                                 0
% 3.90/1.20  fd_pseudo                               0
% 3.90/1.20  fd_cond                                 0
% 3.90/1.20  fd_pseudo_cond                          2
% 3.90/1.20  AC symbols                              2
% 3.90/1.20  
% 3.90/1.20  ------ Input Options Time Limit: Unbounded
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  ------ 
% 3.90/1.20  Current options:
% 3.90/1.20  ------ 
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  ------ Proving...
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  % SZS status Theorem for theBenchmark.p
% 3.90/1.20  
% 3.90/1.20  % SZS output start CNFRefutation for theBenchmark.p
% 3.90/1.20  
% 3.90/1.20  tff(f1,axiom,(
% 3.90/1.20    $product(98164184,x) = a),
% 3.90/1.20    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq1)).
% 3.90/1.20  
% 3.90/1.20  tff(f2,axiom,(
% 3.90/1.20    $product(6472,x) = b),
% 3.90/1.20    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq2)).
% 3.90/1.20  
% 3.90/1.20  tff(f3,conjecture,(
% 3.90/1.20    $sum($product(8,x),$product(-1,$difference($product(4353078,b),$product(287,a)))) = 0),
% 3.90/1.20    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 3.90/1.20  
% 3.90/1.20  tff(f4,negated_conjecture,(
% 3.90/1.20    ~$sum($product(8,x),$product(-1,$difference($product(4353078,b),$product(287,a)))) = 0),
% 3.90/1.20    inference(negated_conjecture,[],[f3])).
% 3.90/1.20  
% 3.90/1.20  tff(f5,plain,(
% 3.90/1.20    ~0 = $sum($product(8,x),$product(-1,$sum($product(4353078,b),$uminus($product(287,a)))))),
% 3.90/1.20    inference(theory_normalization,[],[f4])).
% 3.90/1.20  
% 3.90/1.20  tff(f6,plain,(
% 3.90/1.20    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.90/1.20    introduced(theory_axiom_138,[])).
% 3.90/1.20  
% 3.90/1.20  tff(f7,plain,(
% 3.90/1.20    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.90/1.20    introduced(theory_axiom_139,[])).
% 3.90/1.20  
% 3.90/1.20  tff(f17,plain,(
% 3.90/1.20    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 3.90/1.20    introduced(theory_axiom_138,[])).
% 3.90/1.20  
% 3.90/1.20  tff(f18,plain,(
% 3.90/1.20    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 3.90/1.20    introduced(theory_axiom_139,[])).
% 3.90/1.20  
% 3.90/1.20  tff(f21,plain,(
% 3.90/1.20    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 3.90/1.20    introduced(theory_axiom_153,[])).
% 3.90/1.20  
% 3.90/1.20  tff(f24,plain,(
% 3.90/1.20    0 != $sum($product(8,x),$product(-1,$sum($product(4353078,b),$uminus($product(287,a)))))),
% 3.90/1.20    inference(flattening,[],[f5])).
% 3.90/1.20  
% 3.90/1.20  tff(f25,plain,(
% 3.90/1.20    $product(98164184,x) = a),
% 3.90/1.20    inference(cnf_transformation,[],[f1])).
% 3.90/1.20  
% 3.90/1.20  tff(f26,plain,(
% 3.90/1.20    $product(6472,x) = b),
% 3.90/1.20    inference(cnf_transformation,[],[f2])).
% 3.90/1.20  
% 3.90/1.20  tff(f27,plain,(
% 3.90/1.20    0 != $sum($product(8,x),$product(-1,$sum($product(4353078,b),$uminus($product(287,a)))))),
% 3.90/1.20    inference(cnf_transformation,[],[f24])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_51,plain,
% 3.90/1.20      ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.90/1.20      inference(cnf_transformation,[],[f21])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_54,plain,
% 3.90/1.20      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 3.90/1.20      inference(cnf_transformation,[],[f18])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_55,plain,
% 3.90/1.20      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 3.90/1.20      inference(cnf_transformation,[],[f17])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_65,plain,
% 3.90/1.20      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.90/1.20      inference(cnf_transformation,[],[f7])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_66,plain,
% 3.90/1.20      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.90/1.20      inference(cnf_transformation,[],[f6])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_67,plain,
% 3.90/1.20      ($product_int(98164184,x) = a),
% 3.90/1.20      inference(cnf_transformation,[],[f25])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_68,plain,
% 3.90/1.20      ($product_int(6472,x) = b),
% 3.90/1.20      inference(cnf_transformation,[],[f26])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_69,negated_conjecture,
% 3.90/1.20      ($sum_int($product_int(8,x),$product_int(-1,$sum_int($product_int(4353078,b),$uminus_int($product_int(287,a))))) != 0),
% 3.90/1.20      inference(cnf_transformation,[],[f27])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_92,plain,
% 3.90/1.20      ($product_int(x,98164184) = a),
% 3.90/1.20      inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_93,plain,
% 3.90/1.20      ($product_int(x,6472) = b),
% 3.90/1.20      inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_94,negated_conjecture,
% 3.90/1.20      ($sum_int($product_int(x,8),$product_int(-1,$sum_int($product_int(b,4353078),$uminus_int($product_int(a,287))))) != 0),
% 3.90/1.20      inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_239,plain,
% 3.90/1.20      ($sum_int($product_int(8,x),$sum_int($product_int(-4353078,b),$product_int(287,a))) != 0),
% 3.90/1.20      inference(smt_theory_normalisation,[status(thm)],[c_94])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_240,plain,
% 3.90/1.20      ($sum_int($product_int(x,8),$sum_int($product_int(a,287),$product_int(b,-4353078))) != 0),
% 3.90/1.20      inference(theory_normalisation,[status(thm)],[c_239,c_65,c_66,c_54,c_55])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_1106,plain,
% 3.90/1.20      ($sum_int($product_int(x,X0_3),a) = $product_int(x,$sum_int(X0_3,98164184))),
% 3.90/1.20      inference(superposition,[status(thm)],[c_92,c_51])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_1107,plain,
% 3.90/1.20      ($sum_int($product_int(x,X0_3),b) = $product_int(x,$sum_int(X0_3,6472))),
% 3.90/1.20      inference(superposition,[status(thm)],[c_93,c_51])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_1119,plain,
% 3.90/1.20      ($sum_int(b,$product_int(x,X0_3)) = $product_int(x,$sum_int(X0_3,6472))),
% 3.90/1.20      inference(theory_normalisation,
% 3.90/1.20                [status(thm)],
% 3.90/1.20                [c_1107,c_65,c_66,c_54,c_55])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_1120,plain,
% 3.90/1.20      ($sum_int(a,$product_int(x,X0_3)) = $product_int(x,$sum_int(X0_3,98164184))),
% 3.90/1.20      inference(theory_normalisation,
% 3.90/1.20                [status(thm)],
% 3.90/1.20                [c_1106,c_65,c_66,c_54,c_55])).
% 3.90/1.20  
% 3.90/1.20  cnf(c_4105,plain,
% 3.90/1.20      ($false),
% 3.90/1.20      inference(smt_impl_just,[status(thm)],[c_1120,c_1119,c_240])).
% 3.90/1.20  
% 3.90/1.20  
% 3.90/1.20  % SZS output end CNFRefutation for theBenchmark.p
% 3.90/1.20  
% 3.90/1.20  
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