TSTP Solution File: ARI177_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI177_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 2.55s 1.02s
% Output   : CNFRefutation 2.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : ARI177_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Fri May  3 01:15:53 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.13/0.38  Running TFA theorem proving
% 0.13/0.38  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
% 2.55/1.02  % SZS status Started for theBenchmark.p
% 2.55/1.02  % SZS status Theorem for theBenchmark.p
% 2.55/1.02  
% 2.55/1.02  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.55/1.02  
% 2.55/1.02  ------  iProver source info
% 2.55/1.02  
% 2.55/1.02  git: date: 2024-05-02 19:28:25 +0000
% 2.55/1.02  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.55/1.02  git: non_committed_changes: false
% 2.55/1.02  
% 2.55/1.02  ------ Parsing...
% 2.55/1.02  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.55/1.02  
% 2.55/1.02  ------ 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 
% 2.55/1.02  
% 2.55/1.02  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.55/1.02  
% 2.55/1.02  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.55/1.02  ------ Proving...
% 2.55/1.02  ------ Problem Properties 
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  clauses                                 22
% 2.55/1.02  conjectures                             1
% 2.55/1.02  EPR                                     7
% 2.55/1.02  Horn                                    19
% 2.55/1.02  unary                                   17
% 2.55/1.02  binary                                  2
% 2.55/1.02  lits                                    30
% 2.55/1.02  lits eq                                 16
% 2.55/1.02  fd_pure                                 0
% 2.55/1.02  fd_pseudo                               0
% 2.55/1.02  fd_cond                                 0
% 2.55/1.02  fd_pseudo_cond                          2
% 2.55/1.02  AC symbols                              2
% 2.55/1.02  
% 2.55/1.02  ------ Input Options Time Limit: Unbounded
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  ------ 
% 2.55/1.02  Current options:
% 2.55/1.02  ------ 
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  ------ Proving...
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  % SZS status Theorem for theBenchmark.p
% 2.55/1.02  
% 2.55/1.02  % SZS output start CNFRefutation for theBenchmark.p
% 2.55/1.02  
% 2.55/1.02  tff(f1,conjecture,(
% 2.55/1.02    ! [X0 : $int,X1 : $int] : $sum($product(4,X0),$product(6,X1)) != 21),
% 2.55/1.02    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 2.55/1.02  
% 2.55/1.02  tff(f2,negated_conjecture,(
% 2.55/1.02    ~! [X0 : $int,X1 : $int] : $sum($product(4,X0),$product(6,X1)) != 21),
% 2.55/1.02    inference(negated_conjecture,[],[f1])).
% 2.55/1.02  
% 2.55/1.02  tff(f3,plain,(
% 2.55/1.02    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.55/1.02    introduced(theory_axiom_138,[])).
% 2.55/1.02  
% 2.55/1.02  tff(f4,plain,(
% 2.55/1.02    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.55/1.02    introduced(theory_axiom_139,[])).
% 2.55/1.02  
% 2.55/1.02  tff(f14,plain,(
% 2.55/1.02    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 2.55/1.02    introduced(theory_axiom_138,[])).
% 2.55/1.02  
% 2.55/1.02  tff(f15,plain,(
% 2.55/1.02    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 2.55/1.02    introduced(theory_axiom_139,[])).
% 2.55/1.02  
% 2.55/1.02  tff(f21,plain,(
% 2.55/1.02    ? [X0 : $int,X1 : $int] : $sum($product(4,X0),$product(6,X1)) = 21),
% 2.55/1.02    inference(ennf_transformation,[],[f2])).
% 2.55/1.02  
% 2.55/1.02  tff(f22,plain,(
% 2.55/1.02    ? [X0 : $int,X1 : $int] : $sum($product(4,X0),$product(6,X1)) = 21 => 21 = $sum($product(4,sK0),$product(6,sK1))),
% 2.55/1.02    introduced(choice_axiom,[])).
% 2.55/1.02  
% 2.55/1.02  tff(f23,plain,(
% 2.55/1.02    21 = $sum($product(4,sK0),$product(6,sK1))),
% 2.55/1.02    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22])).
% 2.55/1.02  
% 2.55/1.02  tff(f24,plain,(
% 2.55/1.02    21 = $sum($product(4,sK0),$product(6,sK1))),
% 2.55/1.02    inference(cnf_transformation,[],[f23])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_54,plain,
% 2.55/1.02      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 2.55/1.02      inference(cnf_transformation,[],[f15])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_55,plain,
% 2.55/1.02      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 2.55/1.02      inference(cnf_transformation,[],[f14])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_65,plain,
% 2.55/1.02      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 2.55/1.02      inference(cnf_transformation,[],[f4])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_66,plain,
% 2.55/1.02      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 2.55/1.02      inference(cnf_transformation,[],[f3])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_67,negated_conjecture,
% 2.55/1.02      ($sum_int($product_int(4,sK0),$product_int(6,sK1)) = 21),
% 2.55/1.02      inference(cnf_transformation,[],[f24])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_87,negated_conjecture,
% 2.55/1.02      ($sum_int($product_int(sK0,4),$product_int(sK1,6)) = 21),
% 2.55/1.02      inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_1026,plain,
% 2.55/1.02      ($sum_int($product_int(sK0,4),$sum_int($product_int(sK1,6),X0_3)) = $sum_int(21,X0_3)),
% 2.55/1.02      inference(superposition,[status(thm)],[c_87,c_65])).
% 2.55/1.02  
% 2.55/1.02  cnf(c_4878,plain,($false),inference(smt_impl_just,[status(thm)],[c_1026])).
% 2.55/1.02  
% 2.55/1.02  
% 2.55/1.02  % SZS output end CNFRefutation for theBenchmark.p
% 2.55/1.02  
% 2.55/1.02  
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