TSTP Solution File: ARI298_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI298_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 02:06:43 EDT 2024

% Result   : Theorem 0.46s 1.15s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ARI298_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n014.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 01:02:02 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  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
% 0.46/1.15  % SZS status Started for theBenchmark.p
% 0.46/1.15  % SZS status Theorem for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15  
% 0.46/1.15  ------  iProver source info
% 0.46/1.15  
% 0.46/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15  git: non_committed_changes: false
% 0.46/1.15  
% 0.46/1.15  ------ Parsing...
% 0.46/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing...
% 0.46/1.15  
% 0.46/1.15  % SZS status Theorem for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  % SZS output start CNFRefutation for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  tff(f1,conjecture,(
% 0.46/1.15    ! [X0 : $rat] : ($product(5/8,X0) = 1/4 => 2/5 = X0)),
% 0.46/1.15    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_15)).
% 0.46/1.15  
% 0.46/1.15  tff(f2,negated_conjecture,(
% 0.46/1.15    ~! [X0 : $rat] : ($product(5/8,X0) = 1/4 => 2/5 = X0)),
% 0.46/1.15    inference(negated_conjecture,[],[f1])).
% 0.46/1.15  
% 0.46/1.15  tff(f3,plain,(
% 0.46/1.15    ( ! [X0 : $rat,X1 : $rat] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.46/1.15    introduced(theory_axiom_138,[])).
% 0.46/1.15  
% 0.46/1.15  tff(f4,plain,(
% 0.46/1.15    ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.46/1.16    introduced(theory_axiom_139,[])).
% 0.46/1.16  
% 0.46/1.16  tff(f14,plain,(
% 0.46/1.16    ( ! [X0 : $rat,X1 : $rat] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.46/1.16    introduced(theory_axiom_138,[])).
% 0.46/1.16  
% 0.46/1.16  tff(f15,plain,(
% 0.46/1.16    ( ! [X2 : $rat,X0 : $rat,X1 : $rat] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.46/1.16    introduced(theory_axiom_139,[])).
% 0.46/1.16  
% 0.46/1.16  tff(f20,plain,(
% 0.46/1.16    ? [X0 : $rat] : (2/5 != X0 & $product(5/8,X0) = 1/4)),
% 0.46/1.16    inference(ennf_transformation,[],[f2])).
% 0.46/1.16  
% 0.46/1.16  tff(f21,plain,(
% 0.46/1.16    ? [X0 : $rat] : (2/5 != X0 & $product(5/8,X0) = 1/4) => (2/5 != sK0 & 1/4 = $product(5/8,sK0))),
% 0.46/1.16    introduced(choice_axiom,[])).
% 0.46/1.16  
% 0.46/1.16  tff(f22,plain,(
% 0.46/1.16    2/5 != sK0 & 1/4 = $product(5/8,sK0)),
% 0.46/1.16    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21])).
% 0.46/1.16  
% 0.46/1.16  tff(f23,plain,(
% 0.46/1.16    1/4 = $product(5/8,sK0)),
% 0.46/1.16    inference(cnf_transformation,[],[f22])).
% 0.46/1.16  
% 0.46/1.16  tff(f24,plain,(
% 0.46/1.16    2/5 != sK0),
% 0.46/1.16    inference(cnf_transformation,[],[f22])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_53,plain,
% 0.46/1.16      ($product_rat($product_rat(X0_4,X1_4),X2_4) = $product_rat(X0_4,$product_rat(X1_4,X2_4))),
% 0.46/1.16      inference(cnf_transformation,[],[f15])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_54,plain,
% 0.46/1.16      ($product_rat(X0_4,X1_4) = $product_rat(X1_4,X0_4)),
% 0.46/1.16      inference(cnf_transformation,[],[f14])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_64,plain,
% 0.46/1.16      ($sum_rat($sum_rat(X0_4,X1_4),X2_4) = $sum_rat(X0_4,$sum_rat(X1_4,X2_4))),
% 0.46/1.16      inference(cnf_transformation,[],[f4])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_65,plain,
% 0.46/1.16      ($sum_rat(X0_4,X1_4) = $sum_rat(X1_4,X0_4)),
% 0.46/1.16      inference(cnf_transformation,[],[f3])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_66,negated_conjecture,
% 0.46/1.16      (sK0 != 2/5),
% 0.46/1.16      inference(cnf_transformation,[],[f24])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_67,negated_conjecture,
% 0.46/1.16      ($product_rat(5/8,sK0) = 1/4),
% 0.46/1.16      inference(cnf_transformation,[],[f23])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_83,negated_conjecture,
% 0.46/1.16      ($product_rat(sK0,5/8) = 1/4),
% 0.46/1.16      inference(theory_normalisation,[status(thm)],[c_67,c_53,c_54,c_64,c_65])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_138,plain,
% 0.46/1.16      (sK0 = 2/5),
% 0.46/1.16      inference(smt_theory_normalisation,[status(thm)],[c_83])).
% 0.46/1.16  
% 0.46/1.16  cnf(c_139,plain,
% 0.46/1.16      ($false),
% 0.46/1.16      inference(forward_subsumption_resolution,[status(thm)],[c_138,c_66])).
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  % SZS output end CNFRefutation for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  
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