TSTP Solution File: ARI705_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ARI705_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Wed Aug 30 17:41:48 EDT 2023

% Result   : Theorem 0.74s 1.19s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI705_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 18:03:43 EDT 2023
% 0.15/0.35  % 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 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.74/1.19  % SZS status Started for theBenchmark.p
% 0.74/1.19  % SZS status Theorem for theBenchmark.p
% 0.74/1.19  
% 0.74/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.74/1.19  
% 0.74/1.19  ------  iProver source info
% 0.74/1.19  
% 0.74/1.19  git: date: 2023-05-31 18:12:56 +0000
% 0.74/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.74/1.19  git: non_committed_changes: false
% 0.74/1.19  git: last_make_outside_of_git: false
% 0.74/1.19  
% 0.74/1.19  ------ Parsing...
% 0.74/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.74/1.19  
% 0.74/1.19  ------ Preprocessing...
% 0.74/1.19  
% 0.74/1.19  % SZS status Theorem for theBenchmark.p
% 0.74/1.19  
% 0.74/1.19  % SZS output start CNFRefutation for theBenchmark.p
% 0.74/1.19  
% 0.74/1.19  tff(f1,axiom,(
% 0.74/1.19    $product(d,d) = $sum($product(d,d),a)),
% 0.74/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq)).
% 0.74/1.19  
% 0.74/1.19  tff(f2,conjecture,(
% 0.74/1.19    $product($product($product($product(d,c),a),b),2) = 0),
% 0.74/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.74/1.19  
% 0.74/1.19  tff(f3,negated_conjecture,(
% 0.74/1.19    ~$product($product($product($product(d,c),a),b),2) = 0),
% 0.74/1.19    inference(negated_conjecture,[],[f2])).
% 0.74/1.19  
% 0.74/1.19  tff(f4,plain,(
% 0.74/1.19    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.74/1.19    introduced(theory_axiom_138,[])).
% 0.74/1.19  
% 0.74/1.19  tff(f5,plain,(
% 0.74/1.19    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.74/1.19    introduced(theory_axiom_139,[])).
% 0.74/1.19  
% 0.74/1.19  tff(f15,plain,(
% 0.74/1.19    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.74/1.19    introduced(theory_axiom_138,[])).
% 0.74/1.19  
% 0.74/1.19  tff(f16,plain,(
% 0.74/1.19    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.74/1.19    introduced(theory_axiom_139,[])).
% 0.74/1.19  
% 0.74/1.19  tff(f18,plain,(
% 0.74/1.19    ( ! [X0 : $int] : (0 = $product(X0,0)) )),
% 0.74/1.19    introduced(theory_axiom_152,[])).
% 0.74/1.19  
% 0.74/1.19  tff(f22,plain,(
% 0.74/1.19    $product($product($product($product(d,c),a),b),2) != 0),
% 0.74/1.19    inference(flattening,[],[f3])).
% 0.74/1.19  
% 0.74/1.19  tff(f23,plain,(
% 0.74/1.19    $product(d,d) = $sum($product(d,d),a)),
% 0.74/1.19    inference(cnf_transformation,[],[f1])).
% 0.74/1.19  
% 0.74/1.19  tff(f24,plain,(
% 0.74/1.19    $product($product($product($product(d,c),a),b),2) != 0),
% 0.74/1.19    inference(cnf_transformation,[],[f22])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_52,plain,
% 0.74/1.19      ($product_int(X0_3,0) = 0),
% 0.74/1.19      inference(cnf_transformation,[],[f18])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_54,plain,
% 0.74/1.19      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.74/1.19      inference(cnf_transformation,[],[f16])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_55,plain,
% 0.74/1.19      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.74/1.19      inference(cnf_transformation,[],[f15])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_65,plain,
% 0.74/1.19      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.74/1.19      inference(cnf_transformation,[],[f5])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_66,plain,
% 0.74/1.19      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.74/1.19      inference(cnf_transformation,[],[f4])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_67,plain,
% 0.74/1.19      ($sum_int($product_int(d,d),a) = $product_int(d,d)),
% 0.74/1.19      inference(cnf_transformation,[],[f23])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_68,negated_conjecture,
% 0.74/1.19      ($product_int($product_int($product_int($product_int(d,c),a),b),2) != 0),
% 0.74/1.19      inference(cnf_transformation,[],[f24])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_86,plain,
% 0.74/1.19      ($sum_int(a,$product_int(d,d)) = $product_int(d,d)),
% 0.74/1.19      inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_87,negated_conjecture,
% 0.74/1.19      ($product_int(d,$product_int(a,$product_int(c,$product_int(b,2)))) != 0),
% 0.74/1.19      inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_191,plain,
% 0.74/1.19      (a = 0),
% 0.74/1.19      inference(smt_theory_normalisation,[status(thm)],[c_86])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_209,plain,
% 0.74/1.19      ($product_int(d,$product_int(a,$product_int(c,b))) != 0),
% 0.74/1.19      inference(smt_theory_normalisation,[status(thm)],[c_87])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_210,plain,
% 0.74/1.19      ($product_int(d,$product_int(0,$product_int(c,b))) != 0),
% 0.74/1.19      inference(light_normalisation,[status(thm)],[c_209,c_191])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_211,plain,
% 0.74/1.19      ($product_int(c,$product_int(b,0)) != 0),
% 0.74/1.19      inference(ac_demodulation,[status(thm)],[c_210,c_52,c_65,c_66,c_54,c_55])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_212,plain,
% 0.74/1.19      ($product_int(b,0) != 0),
% 0.74/1.19      inference(ac_demodulation,[status(thm)],[c_211,c_52,c_65,c_66,c_54,c_55])).
% 0.74/1.19  
% 0.74/1.19  cnf(c_213,plain,
% 0.74/1.19      ($false),
% 0.74/1.19      inference(ac_demodulation,[status(thm)],[c_212,c_52,c_65,c_66,c_54,c_55])).
% 0.74/1.19  
% 0.74/1.19  
% 0.74/1.19  % SZS output end CNFRefutation for theBenchmark.p
% 0.74/1.19  
% 0.74/1.19  
%------------------------------------------------------------------------------