TSTP Solution File: ARI607_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ARI607_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 17:41:28 EDT 2023

% Result   : Theorem 145.03s 19.18s
% Output   : CNFRefutation 145.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ARI607_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n027.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 : Tue Aug 29 18:24:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running TFA theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 145.03/19.18  % SZS status Started for theBenchmark.p
% 145.03/19.18  % SZS status Theorem for theBenchmark.p
% 145.03/19.18  
% 145.03/19.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 145.03/19.18  
% 145.03/19.18  ------  iProver source info
% 145.03/19.18  
% 145.03/19.18  git: date: 2023-05-31 18:12:56 +0000
% 145.03/19.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 145.03/19.18  git: non_committed_changes: false
% 145.03/19.18  git: last_make_outside_of_git: false
% 145.03/19.18  
% 145.03/19.18  ------ Parsing...
% 145.03/19.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 145.03/19.18  
% 145.03/19.18  ------ 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 
% 145.03/19.18  
% 145.03/19.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 145.03/19.18  
% 145.03/19.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 145.03/19.18  ------ Proving...
% 145.03/19.18  ------ Problem Properties 
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  clauses                                 18
% 145.03/19.18  conjectures                             10
% 145.03/19.18  EPR                                     8
% 145.03/19.18  Horn                                    16
% 145.03/19.18  unary                                   13
% 145.03/19.18  binary                                  3
% 145.03/19.18  lits                                    25
% 145.03/19.18  lits eq                                 7
% 145.03/19.18  fd_pure                                 0
% 145.03/19.18  fd_pseudo                               0
% 145.03/19.18  fd_cond                                 0
% 145.03/19.18  fd_pseudo_cond                          1
% 145.03/19.18  AC symbols                              1
% 145.03/19.18  
% 145.03/19.18  ------ Input Options Time Limit: Unbounded
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  ------ 
% 145.03/19.18  Current options:
% 145.03/19.18  ------ 
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  ------ Proving...
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  % SZS status Theorem for theBenchmark.p
% 145.03/19.18  
% 145.03/19.18  % SZS output start CNFRefutation for theBenchmark.p
% 145.03/19.18  
% 145.03/19.18  tff(f1,conjecture,(
% 145.03/19.18    ! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $lesseq(f(X0),f(X1))) => $lesseq($sum(f(2),f(5)),$sum(f(7),f(3)))),
% 145.03/19.18    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_mon_implies_f2plusf5_gt_f7plusf3)).
% 145.03/19.18  
% 145.03/19.18  tff(f2,negated_conjecture,(
% 145.03/19.18    ~(! [X0 : $int,X1 : $int] : ($lesseq(X0,X1) => $lesseq(f(X0),f(X1))) => $lesseq($sum(f(2),f(5)),$sum(f(7),f(3))))),
% 145.03/19.18    inference(negated_conjecture,[],[f1])).
% 145.03/19.18  
% 145.03/19.18  tff(f3,plain,(
% 145.03/19.18    ~(! [X0 : $int,X1 : $int] : (~$less(X1,X0) => ~$less(f(X1),f(X0))) => ~$less($sum(f(7),f(3)),$sum(f(2),f(5))))),
% 145.03/19.18    inference(theory_normalization,[],[f2])).
% 145.03/19.18  
% 145.03/19.18  tff(f9,plain,(
% 145.03/19.18    ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 145.03/19.18    introduced(theory_axiom_145,[])).
% 145.03/19.18  
% 145.03/19.18  tff(f10,plain,(
% 145.03/19.18    ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 145.03/19.18    introduced(theory_axiom_146,[])).
% 145.03/19.18  
% 145.03/19.18  tff(f13,plain,(
% 145.03/19.18    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 145.03/19.18    introduced(theory_axiom_150,[])).
% 145.03/19.18  
% 145.03/19.18  tff(f16,plain,(
% 145.03/19.18    $less($sum(f(7),f(3)),$sum(f(2),f(5))) & ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0))),
% 145.03/19.18    inference(ennf_transformation,[],[f3])).
% 145.03/19.18  
% 145.03/19.18  tff(f17,plain,(
% 145.03/19.18    ( ! [X0 : $int,X1 : $int] : (~$less(f(X1),f(X0)) | $less(X1,X0)) )),
% 145.03/19.18    inference(cnf_transformation,[],[f16])).
% 145.03/19.18  
% 145.03/19.18  tff(f18,plain,(
% 145.03/19.18    $less($sum(f(7),f(3)),$sum(f(2),f(5)))),
% 145.03/19.18    inference(cnf_transformation,[],[f16])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_51,negated_conjecture,
% 145.03/19.18      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 145.03/19.18      inference(cnf_transformation,[],[f13])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_54,plain,
% 145.03/19.18      (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 145.03/19.18      inference(cnf_transformation,[],[f10])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_55,plain,
% 145.03/19.18      (~$less_int(X0_3,X0_3)),
% 145.03/19.18      inference(cnf_transformation,[],[f9])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_61,negated_conjecture,
% 145.03/19.18      ($less_int($sum_int(f(7),f(3)),$sum_int(f(2),f(5)))),
% 145.03/19.18      inference(cnf_transformation,[],[f18])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_62,negated_conjecture,
% 145.03/19.18      (~$less_int(f(X0_3),f(X1_3))|$less_int(X0_3,X1_3)),
% 145.03/19.18      inference(cnf_transformation,[],[f17])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_65,plain,($less_int(2,3)),theory(arith)).
% 145.03/19.18  
% 145.03/19.18  cnf(c_67,plain,($less_int(5,7)),theory(arith)).
% 145.03/19.18  
% 145.03/19.18  cnf(c_100379,plain,
% 145.03/19.18      ($less_int(f(X0_3),$sum_int(f(X1_3),1))|$less_int(X1_3,X0_3)),
% 145.03/19.18      inference(superposition,[status(thm)],[c_51,c_62])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_100405,plain,
% 145.03/19.18      (~$less_int(3,X0_3)|$less_int(2,X0_3)),
% 145.03/19.18      inference(superposition,[status(thm)],[c_65,c_54])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_100407,plain,
% 145.03/19.18      (~$less_int(7,X0_3)|$less_int(5,X0_3)),
% 145.03/19.18      inference(superposition,[status(thm)],[c_67,c_54])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_100794,plain,
% 145.03/19.18      ($less_int(f(X0_3),$sum_int(f(3),1))|$less_int(2,X0_3)),
% 145.03/19.18      inference(superposition,[status(thm)],[c_100379,c_100405])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_100796,plain,
% 145.03/19.18      ($less_int(f(X0_3),$sum_int(f(7),1))|$less_int(5,X0_3)),
% 145.03/19.18      inference(superposition,[status(thm)],[c_100379,c_100407])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_104058,plain,
% 145.03/19.18      ($less_int(f(5),$sum_int(f(7),1))),
% 145.03/19.18      inference(superposition,[status(thm)],[c_100796,c_55])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_104086,plain,
% 145.03/19.18      ($less_int(f(2),$sum_int(f(3),1))),
% 145.03/19.18      inference(superposition,[status(thm)],[c_100794,c_55])).
% 145.03/19.18  
% 145.03/19.18  cnf(c_192982,plain,
% 145.03/19.18      ($false),
% 145.03/19.18      inference(smt_impl_just,[status(thm)],[c_104086,c_104058,c_61])).
% 145.03/19.18  
% 145.03/19.18  
% 145.03/19.18  % SZS output end CNFRefutation for theBenchmark.p
% 145.03/19.18  
% 145.03/19.18  
%------------------------------------------------------------------------------