TSTP Solution File: ARI586_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ARI586_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 02:07:19 EDT 2024

% Result   : Theorem 7.59s 1.62s
% Output   : CNFRefutation 7.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI586_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 01:19:18 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running TFA theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.59/1.62  % SZS status Started for theBenchmark.p
% 7.59/1.62  % SZS status Theorem for theBenchmark.p
% 7.59/1.62  
% 7.59/1.62  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.59/1.62  
% 7.59/1.62  ------  iProver source info
% 7.59/1.62  
% 7.59/1.62  git: date: 2024-05-02 19:28:25 +0000
% 7.59/1.62  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.59/1.62  git: non_committed_changes: false
% 7.59/1.62  
% 7.59/1.62  ------ Parsing...
% 7.59/1.62  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.59/1.62  
% 7.59/1.62  ------ 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 
% 7.59/1.62  
% 7.59/1.62  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.59/1.62  
% 7.59/1.62  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.59/1.62  ------ Proving...
% 7.59/1.62  ------ Problem Properties 
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  clauses                                 21
% 7.59/1.62  conjectures                             2
% 7.59/1.62  EPR                                     6
% 7.59/1.62  Horn                                    18
% 7.59/1.62  unary                                   15
% 7.59/1.62  binary                                  3
% 7.59/1.62  lits                                    30
% 7.59/1.62  lits eq                                 15
% 7.59/1.62  fd_pure                                 0
% 7.59/1.62  fd_pseudo                               0
% 7.59/1.62  fd_cond                                 0
% 7.59/1.62  fd_pseudo_cond                          2
% 7.59/1.62  AC symbols                              2
% 7.59/1.62  
% 7.59/1.62  ------ Input Options Time Limit: Unbounded
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  ------ 
% 7.59/1.62  Current options:
% 7.59/1.62  ------ 
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  ------ Proving...
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  % SZS status Theorem for theBenchmark.p
% 7.59/1.62  
% 7.59/1.62  % SZS output start CNFRefutation for theBenchmark.p
% 7.59/1.62  
% 7.59/1.62  tff(f1,conjecture,(
% 7.59/1.62    ! [X0 : $int] : ($less(0,X0) => ? [X1 : $int] : ($less(X1,$product(X0,3)) & $less(X0,X1)))),
% 7.59/1.62    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_Y_between_X_and_3X)).
% 7.59/1.62  
% 7.59/1.62  tff(f2,negated_conjecture,(
% 7.59/1.62    ~! [X0 : $int] : ($less(0,X0) => ? [X1 : $int] : ($less(X1,$product(X0,3)) & $less(X0,X1)))),
% 7.59/1.62    inference(negated_conjecture,[],[f1])).
% 7.59/1.62  
% 7.59/1.62  tff(f8,plain,(
% 7.59/1.62    ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 7.59/1.62    introduced(theory_axiom_145,[])).
% 7.59/1.62  
% 7.59/1.62  tff(f9,plain,(
% 7.59/1.62    ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 7.59/1.62    introduced(theory_axiom_146,[])).
% 7.59/1.62  
% 7.59/1.62  tff(f10,plain,(
% 7.59/1.62    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 7.59/1.62    introduced(theory_axiom_147,[])).
% 7.59/1.62  
% 7.59/1.62  tff(f12,plain,(
% 7.59/1.62    ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 7.59/1.62    introduced(theory_axiom_150,[])).
% 7.59/1.62  
% 7.59/1.62  tff(f20,plain,(
% 7.59/1.62    ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 7.59/1.62    introduced(theory_axiom_164,[])).
% 7.59/1.62  
% 7.59/1.62  tff(f21,plain,(
% 7.59/1.62    ? [X0 : $int] : (! [X1 : $int] : (~$less(X1,$product(X0,3)) | ~$less(X0,X1)) & $less(0,X0))),
% 7.59/1.62    inference(ennf_transformation,[],[f2])).
% 7.59/1.62  
% 7.59/1.62  tff(f22,plain,(
% 7.59/1.62    ? [X0 : $int] : (! [X1 : $int] : (~$less(X1,$product(X0,3)) | ~$less(X0,X1)) & $less(0,X0)) => (! [X1 : $int] : (~$less(X1,$product(sK0,3)) | ~$less(sK0,X1)) & $less(0,sK0))),
% 7.59/1.62    introduced(choice_axiom,[])).
% 7.59/1.62  
% 7.59/1.62  tff(f23,plain,(
% 7.59/1.62    ! [X1 : $int] : (~$less(X1,$product(sK0,3)) | ~$less(sK0,X1)) & $less(0,sK0)),
% 7.59/1.62    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22])).
% 7.59/1.62  
% 7.59/1.62  tff(f24,plain,(
% 7.59/1.62    $less(0,sK0)),
% 7.59/1.62    inference(cnf_transformation,[],[f23])).
% 7.59/1.62  
% 7.59/1.62  tff(f25,plain,(
% 7.59/1.62    ( ! [X1 : $int] : (~$less(X1,$product(sK0,3)) | ~$less(sK0,X1)) )),
% 7.59/1.62    inference(cnf_transformation,[],[f23])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_49,plain,
% 7.59/1.62      (~$less_int(X0_3,$sum_int(X1_3,1))|~$less_int(X1_3,X0_3)),
% 7.59/1.62      inference(cnf_transformation,[],[f20])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_57,plain,
% 7.59/1.62      ($less_int(X0_3,$sum_int(X1_3,1))|$less_int(X1_3,X0_3)),
% 7.59/1.62      inference(cnf_transformation,[],[f12])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_59,plain,
% 7.59/1.62      (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 7.59/1.62      inference(cnf_transformation,[],[f10])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_60,plain,
% 7.59/1.62      (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 7.59/1.62      inference(cnf_transformation,[],[f9])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_61,plain,
% 7.59/1.62      (~$less_int(X0_3,X0_3)),
% 7.59/1.62      inference(cnf_transformation,[],[f8])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_67,negated_conjecture,
% 7.59/1.62      (~$less_int(X0_3,$product_int(sK0,3))|~$less_int(sK0,X0_3)),
% 7.59/1.62      inference(cnf_transformation,[],[f25])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_68,negated_conjecture,
% 7.59/1.62      ($less_int(0,sK0)),
% 7.59/1.62      inference(cnf_transformation,[],[f24])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_71,plain,
% 7.59/1.62      (~$less_int(0,0)),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_61])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_81,plain,
% 7.59/1.62      (0 = 0|$less_int(0,0)),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_59])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_367,plain,(X0_3 != X1_3|X2_3 != X1_3|X2_3 = X0_3),theory(equality)).
% 7.59/1.62  
% 7.59/1.62  cnf(c_371,plain,
% 7.59/1.62      (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 7.59/1.62      theory(equality)).
% 7.59/1.62  
% 7.59/1.62  cnf(c_713,plain,
% 7.59/1.62      ($less_int(X0_3,$sum_int(X0_3,1))),
% 7.59/1.62      inference(superposition,[status(thm)],[c_57,c_61])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_833,plain,
% 7.59/1.62      (~$less_int(sK0,X0_3)|$product_int(sK0,3) = X0_3|$less_int($product_int(sK0,3),X0_3)),
% 7.59/1.62      inference(superposition,[status(thm)],[c_59,c_67])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_857,plain,
% 7.59/1.62      (~$less_int(sK0,X0_3)|$less_int(0,X0_3)),
% 7.59/1.62      inference(superposition,[status(thm)],[c_68,c_60])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_904,plain,
% 7.59/1.62      (~$less_int(sK0,0)|$less_int(0,0)),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_857])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_976,plain,
% 7.59/1.62      (X0_3 != 0|X1_3 != sK0|~$less_int(0,sK0)|$less_int(X0_3,X1_3)),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_371])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_977,plain,
% 7.59/1.62      (0 != sK0|0 != 0|~$less_int(0,sK0)|$less_int(0,0)),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_976])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_992,plain,
% 7.59/1.62      (~$less_int(X0_3,$product_int(sK0,3))|~$less_int(sK0,$sum_int(X0_3,1))|
% 7.59/1.62      $sum_int(X0_3,1) = $product_int(sK0,3)),
% 7.59/1.62      inference(superposition,[status(thm)],[c_833,c_49])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_1155,plain,
% 7.59/1.62      (X0_3 != X1_3|sK0 != X1_3|X0_3 = sK0),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_367])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_1156,plain,
% 7.59/1.62      (sK0 != 0|0 != 0|0 = sK0),
% 7.59/1.62      inference(instantiation,[status(thm)],[c_1155])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_1163,plain,
% 7.59/1.62      (~$less_int(sK0,$sum_int(X0_3,1))|$sum_int(X0_3,1) = $product_int(sK0,3)|
% 7.59/1.62      $product_int(sK0,3) = X0_3|$less_int($product_int(sK0,3),X0_3)),
% 7.59/1.62      inference(superposition,[status(thm)],[c_59,c_992])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_2284,plain,
% 7.59/1.62      ($sum_int(sK0,1) = $product_int(sK0,3)|$product_int(sK0,3) = sK0|
% 7.59/1.62      $less_int($product_int(sK0,3),sK0)),
% 7.59/1.62      inference(superposition,[status(thm)],[c_713,c_1163])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_14758,plain,
% 7.59/1.62      (sK0 = 0|$less_int(sK0,0)),
% 7.59/1.62      inference(smt_theory_normalisation,[status(thm)],[c_2284])).
% 7.59/1.62  
% 7.59/1.62  cnf(c_14759,plain,
% 7.59/1.62      ($false),
% 7.59/1.62      inference(prop_impl_just,
% 7.59/1.62                [status(thm)],
% 7.59/1.62                [c_14758,c_1156,c_977,c_904,c_81,c_71,c_68])).
% 7.59/1.62  
% 7.59/1.62  
% 7.59/1.62  % SZS output end CNFRefutation for theBenchmark.p
% 7.59/1.62  
% 7.59/1.62  
%------------------------------------------------------------------------------