TSTP Solution File: ARI529_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ARI529_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.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 17:41:13 EDT 2023

% Result   : Theorem 1.12s 1.18s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI529_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n029.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 18:36:42 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
% 1.12/1.18  % SZS status Started for theBenchmark.p
% 1.12/1.18  % SZS status Theorem for theBenchmark.p
% 1.12/1.18  
% 1.12/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.12/1.18  
% 1.12/1.18  ------  iProver source info
% 1.12/1.18  
% 1.12/1.18  git: date: 2023-05-31 18:12:56 +0000
% 1.12/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.12/1.18  git: non_committed_changes: false
% 1.12/1.18  git: last_make_outside_of_git: false
% 1.12/1.18  
% 1.12/1.18  ------ Parsing...
% 1.12/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.12/1.18  
% 1.12/1.18  ------ Preprocessing...
% 1.12/1.18  
% 1.12/1.18  % SZS status Theorem for theBenchmark.p
% 1.12/1.18  
% 1.12/1.18  % SZS output start CNFRefutation for theBenchmark.p
% 1.12/1.18  
% 1.12/1.18  tff(f1,conjecture,(
% 1.12/1.18    $less($to_int($difference(10.0,0.0001)),$product($to_int(11/2),2))),
% 1.12/1.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_types_problem_34)).
% 1.12/1.18  
% 1.12/1.18  tff(f2,negated_conjecture,(
% 1.12/1.18    ~$less($to_int($difference(10.0,0.0001)),$product($to_int(11/2),2))),
% 1.12/1.18    inference(negated_conjecture,[],[f1])).
% 1.12/1.18  
% 1.12/1.18  tff(f3,plain,(
% 1.12/1.18    ~$less($to_int($sum(10.0,$uminus(0.0001))),$product($to_int(11/2),2))),
% 1.12/1.18    inference(theory_normalization,[],[f2])).
% 1.12/1.18  
% 1.12/1.18  tff(f4,plain,(
% 1.12/1.18    ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.12/1.18    introduced(theory_axiom_138,[])).
% 1.12/1.18  
% 1.12/1.18  tff(f5,plain,(
% 1.12/1.18    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 1.12/1.18    introduced(theory_axiom_139,[])).
% 1.12/1.18  
% 1.12/1.18  tff(f15,plain,(
% 1.12/1.18    ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 1.12/1.18    introduced(theory_axiom_138,[])).
% 1.12/1.18  
% 1.12/1.18  tff(f16,plain,(
% 1.12/1.18    ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 1.12/1.18    introduced(theory_axiom_139,[])).
% 1.12/1.18  
% 1.12/1.18  tff(f22,plain,(
% 1.12/1.18    ( ! [X0 : $real,X1 : $real] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.12/1.18    introduced(theory_axiom_138,[])).
% 1.12/1.18  
% 1.12/1.18  tff(f23,plain,(
% 1.12/1.18    ( ! [X2 : $real,X0 : $real,X1 : $real] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 1.12/1.18    introduced(theory_axiom_139,[])).
% 1.12/1.18  
% 1.12/1.18  tff(f33,plain,(
% 1.12/1.18    ~$less($to_int($sum(10.0,$uminus(0.0001))),$product($to_int(11/2),2))),
% 1.12/1.18    inference(flattening,[],[f3])).
% 1.12/1.18  
% 1.12/1.18  tff(f34,plain,(
% 1.12/1.18    ~$less($to_int($sum(10.0,$uminus(0.0001))),$product($to_int(11/2),2))),
% 1.12/1.18    inference(cnf_transformation,[],[f33])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_58,plain,
% 1.12/1.18      ($sum_real($sum_real(X0_2,X1_2),X2_2) = $sum_real(X0_2,$sum_real(X1_2,X2_2))),
% 1.12/1.18      inference(cnf_transformation,[],[f23])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_59,plain,
% 1.12/1.18      ($sum_real(X0_2,X1_2) = $sum_real(X1_2,X0_2)),
% 1.12/1.18      inference(cnf_transformation,[],[f22])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_65,plain,
% 1.12/1.18      ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 1.12/1.18      inference(cnf_transformation,[],[f16])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_66,plain,
% 1.12/1.18      ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 1.12/1.18      inference(cnf_transformation,[],[f15])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_76,plain,
% 1.12/1.18      ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 1.12/1.18      inference(cnf_transformation,[],[f5])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_77,plain,
% 1.12/1.18      ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 1.12/1.18      inference(cnf_transformation,[],[f4])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_78,negated_conjecture,
% 1.12/1.18      (~$less_int($to_int_real($sum_real(10.0,$uminus_real(0.0001))),$product_int($to_int_rat(11/2),2))),
% 1.12/1.18      inference(cnf_transformation,[],[f34])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_108,negated_conjecture,
% 1.12/1.18      (~$less_int($to_int_real($sum_real(10.0,$uminus_real(0.0001))),$product_int(2,$to_int_rat(11/2)))),
% 1.12/1.18      inference(theory_normalisation,
% 1.12/1.18                [status(thm)],
% 1.12/1.18                [c_78,c_65,c_66,c_76,c_77,c_58,c_59])).
% 1.12/1.18  
% 1.12/1.18  cnf(c_295,plain,
% 1.12/1.18      ($false),
% 1.12/1.18      inference(smt_theory_normalisation,[status(thm)],[c_108])).
% 1.12/1.18  
% 1.12/1.18  
% 1.12/1.18  % SZS output end CNFRefutation for theBenchmark.p
% 1.12/1.18  
% 1.12/1.18  
%------------------------------------------------------------------------------