TSTP Solution File: NUM894_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM894_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 02:51:02 EDT 2024

% Result   : Theorem 1.29s 1.17s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM894_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n003.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 : Thu May  2 19:42:20 EDT 2024
% 0.13/0.35  % 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
% 1.29/1.17  % SZS status Started for theBenchmark.p
% 1.29/1.17  % SZS status Theorem for theBenchmark.p
% 1.29/1.17  
% 1.29/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.29/1.17  
% 1.29/1.17  ------  iProver source info
% 1.29/1.17  
% 1.29/1.17  git: date: 2024-05-02 19:28:25 +0000
% 1.29/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.29/1.17  git: non_committed_changes: false
% 1.29/1.17  
% 1.29/1.17  ------ Parsing...
% 1.29/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.29/1.17  
% 1.29/1.17  ------ 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 
% 1.29/1.17  
% 1.29/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.29/1.17  
% 1.29/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.29/1.17  ------ Proving...
% 1.29/1.17  ------ Problem Properties 
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  clauses                                 14
% 1.29/1.17  conjectures                             2
% 1.29/1.17  EPR                                     5
% 1.29/1.17  Horn                                    12
% 1.29/1.17  unary                                   10
% 1.29/1.17  binary                                  2
% 1.29/1.17  lits                                    20
% 1.29/1.17  lits eq                                 7
% 1.29/1.17  fd_pure                                 0
% 1.29/1.17  fd_pseudo                               0
% 1.29/1.17  fd_cond                                 0
% 1.29/1.17  fd_pseudo_cond                          1
% 1.29/1.17  AC symbols                              1
% 1.29/1.17  
% 1.29/1.17  ------ Input Options Time Limit: Unbounded
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  ------ 
% 1.29/1.17  Current options:
% 1.29/1.17  ------ 
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  ------ Proving...
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  % SZS status Theorem for theBenchmark.p
% 1.29/1.17  
% 1.29/1.17  % SZS output start CNFRefutation for theBenchmark.p
% 1.29/1.17  
% 1.29/1.17  tff(f1,conjecture,(
% 1.29/1.17    ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) => $lesseq(X1,X0))),
% 1.29/1.17    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_successor)).
% 1.29/1.17  
% 1.29/1.17  tff(f2,negated_conjecture,(
% 1.29/1.17    ~! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) => $lesseq(X1,X0))),
% 1.29/1.17    inference(negated_conjecture,[],[f1])).
% 1.29/1.17  
% 1.29/1.17  tff(f3,plain,(
% 1.29/1.17    ~! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) => ~$less(X0,X1))),
% 1.29/1.17    inference(theory_normalization,[],[f2])).
% 1.29/1.17  
% 1.29/1.17  tff(f15,plain,(
% 1.29/1.17    ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 1.29/1.17    introduced(theory_axiom_164,[])).
% 1.29/1.17  
% 1.29/1.17  tff(f16,plain,(
% 1.29/1.17    ? [X0 : $int,X1 : $int] : ($less(X0,X1) & $less(X1,$sum(X0,1)))),
% 1.29/1.17    inference(ennf_transformation,[],[f3])).
% 1.29/1.17  
% 1.29/1.17  tff(f17,plain,(
% 1.29/1.17    ? [X0 : $int,X1 : $int] : ($less(X0,X1) & $less(X1,$sum(X0,1))) => ($less(sK0,sK1) & $less(sK1,$sum(sK0,1)))),
% 1.29/1.17    introduced(choice_axiom,[])).
% 1.29/1.17  
% 1.29/1.17  tff(f18,plain,(
% 1.29/1.17    $less(sK0,sK1) & $less(sK1,$sum(sK0,1))),
% 1.29/1.17    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17])).
% 1.29/1.17  
% 1.29/1.17  tff(f19,plain,(
% 1.29/1.17    $less(sK1,$sum(sK0,1))),
% 1.29/1.17    inference(cnf_transformation,[],[f18])).
% 1.29/1.17  
% 1.29/1.17  tff(f20,plain,(
% 1.29/1.17    $less(sK0,sK1)),
% 1.29/1.17    inference(cnf_transformation,[],[f18])).
% 1.29/1.17  
% 1.29/1.17  cnf(c_49,plain,
% 1.29/1.17      (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 1.29/1.17      inference(cnf_transformation,[],[f15])).
% 1.29/1.17  
% 1.29/1.17  cnf(c_61,negated_conjecture,
% 1.29/1.17      ($less_int(sK0,sK1)),
% 1.29/1.17      inference(cnf_transformation,[],[f20])).
% 1.29/1.17  
% 1.29/1.17  cnf(c_62,negated_conjecture,
% 1.29/1.17      ($less_int(sK1,$sum_int(sK0,1))),
% 1.29/1.17      inference(cnf_transformation,[],[f19])).
% 1.29/1.17  
% 1.29/1.17  cnf(c_617,plain,
% 1.29/1.17      (~$less_int(sK1,$sum_int(sK0,1))|~$less_int(sK0,sK1)),
% 1.29/1.17      inference(instantiation,[status(thm)],[c_49])).
% 1.29/1.17  
% 1.29/1.17  cnf(c_618,plain,
% 1.29/1.17      ($false),
% 1.29/1.17      inference(prop_impl_just,[status(thm)],[c_617,c_62,c_61])).
% 1.29/1.17  
% 1.29/1.17  
% 1.29/1.17  % SZS output end CNFRefutation for theBenchmark.p
% 1.29/1.17  
% 1.29/1.17  
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