TSTP Solution File: DAT081_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : DAT081_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 22:15:36 EDT 2023

% Result   : Theorem 0.48s 1.15s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : DAT081_1 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 14:46:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  Running TFA theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.15  % SZS status Started for theBenchmark.p
% 0.48/1.15  % SZS status Theorem for theBenchmark.p
% 0.48/1.15  
% 0.48/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.15  
% 0.48/1.15  ------  iProver source info
% 0.48/1.15  
% 0.48/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.15  git: non_committed_changes: false
% 0.48/1.15  git: last_make_outside_of_git: false
% 0.48/1.15  
% 0.48/1.15  ------ Parsing...
% 0.48/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.48/1.15  
% 0.48/1.15  ------ 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 
% 0.48/1.15  
% 0.48/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.15  
% 0.48/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.15  ------ Proving...
% 0.48/1.15  ------ Problem Properties 
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  clauses                                 38
% 0.48/1.15  conjectures                             1
% 0.48/1.15  EPR                                     6
% 0.48/1.15  Horn                                    26
% 0.48/1.15  unary                                   20
% 0.48/1.15  binary                                  7
% 0.48/1.15  lits                                    68
% 0.48/1.15  lits eq                                 31
% 0.48/1.15  fd_pure                                 0
% 0.48/1.15  fd_pseudo                               0
% 0.48/1.15  fd_cond                                 3
% 0.48/1.15  fd_pseudo_cond                          2
% 0.48/1.15  AC symbols                              1
% 0.48/1.15  
% 0.48/1.15  ------ Input Options Time Limit: Unbounded
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  ------ 
% 0.48/1.15  Current options:
% 0.48/1.15  ------ 
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  ------ Proving...
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  % SZS status Theorem for theBenchmark.p
% 0.48/1.15  
% 0.48/1.15  % SZS output start CNFRefutation for theBenchmark.p
% 0.48/1.15  
% 0.48/1.15  tff(f9,axiom,(
% 0.48/1.15    ! [X0 : $int] : 0 = count(X0,nil)),
% 0.48/1.15    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a)).
% 0.48/1.15  
% 0.48/1.15  tff(f14,axiom,(
% 0.48/1.15    ! [X5 : $int,X1 : list] : (in(X5,X1) <=> $greater(count(X5,X1),0))),
% 0.48/1.15    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_8)).
% 0.48/1.15  
% 0.48/1.15  tff(f15,conjecture,(
% 0.48/1.15    ! [X7 : $int] : ~in(X7,nil)),
% 0.48/1.15    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 0.48/1.15  
% 0.48/1.15  tff(f16,negated_conjecture,(
% 0.48/1.15    ~! [X7 : $int] : ~in(X7,nil)),
% 0.48/1.15    inference(negated_conjecture,[],[f15])).
% 0.48/1.15  
% 0.48/1.15  tff(f18,plain,(
% 0.48/1.15    ! [X5 : $int,X1 : list] : (in(X5,X1) <=> $less(0,count(X5,X1)))),
% 0.48/1.15    inference(theory_normalization,[],[f14])).
% 0.48/1.15  
% 0.48/1.15  tff(f24,plain,(
% 0.48/1.15    ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.48/1.15    introduced(theory_axiom_145,[])).
% 0.48/1.15  
% 0.48/1.15  tff(f39,plain,(
% 0.48/1.15    ! [X0 : $int,X1 : list] : (in(X0,X1) <=> $less(0,count(X0,X1)))),
% 0.48/1.15    inference(rectify,[],[f18])).
% 0.48/1.15  
% 0.48/1.15  tff(f40,plain,(
% 0.48/1.15    ~! [X0 : $int] : ~in(X0,nil)),
% 0.48/1.15    inference(rectify,[],[f16])).
% 0.48/1.15  
% 0.48/1.15  tff(f43,plain,(
% 0.48/1.15    ? [X0 : $int] : in(X0,nil)),
% 0.48/1.15    inference(ennf_transformation,[],[f40])).
% 0.48/1.15  
% 0.48/1.15  tff(f55,plain,(
% 0.48/1.15    ! [X0 : $int,X1 : list] : ((in(X0,X1) | ~$less(0,count(X0,X1))) & ($less(0,count(X0,X1)) | ~in(X0,X1)))),
% 0.48/1.15    inference(nnf_transformation,[],[f39])).
% 0.48/1.15  
% 0.48/1.15  tff(f56,plain,(
% 0.48/1.15    ? [X0 : $int] : in(X0,nil) => in(sK6,nil)),
% 0.48/1.15    introduced(choice_axiom,[])).
% 0.48/1.15  
% 0.48/1.15  tff(f57,plain,(
% 0.48/1.15    in(sK6,nil)),
% 0.48/1.15    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f43,f56])).
% 0.48/1.15  
% 0.48/1.15  tff(f76,plain,(
% 0.48/1.15    ( ! [X0 : $int] : (0 = count(X0,nil)) )),
% 0.48/1.15    inference(cnf_transformation,[],[f9])).
% 0.48/1.15  
% 0.48/1.15  tff(f81,plain,(
% 0.48/1.15    ( ! [X0 : $int,X1 : list] : ($less(0,count(X0,X1)) | ~in(X0,X1)) )),
% 0.48/1.15    inference(cnf_transformation,[],[f55])).
% 0.48/1.15  
% 0.48/1.15  tff(f83,plain,(
% 0.48/1.15    in(sK6,nil)),
% 0.48/1.15    inference(cnf_transformation,[],[f57])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_55,plain,
% 0.48/1.15      (~$less_int(X0_3,X0_3)),
% 0.48/1.15      inference(cnf_transformation,[],[f24])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_79,plain,(count(X0_3,nil) = 0),inference(cnf_transformation,[],[f76])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_85,plain,
% 0.48/1.15      (~in(X0_3,X0_13)|$less_int(0,count(X0_3,X0_13))),
% 0.48/1.15      inference(cnf_transformation,[],[f81])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_86,negated_conjecture,
% 0.48/1.15      (in(sK6,nil)),
% 0.48/1.15      inference(cnf_transformation,[],[f83])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_1563,plain,
% 0.48/1.15      (~in(X0_3,nil)|$less_int(0,0)),
% 0.48/1.15      inference(superposition,[status(thm)],[c_79,c_85])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_1565,plain,
% 0.48/1.15      (~in(X0_3,nil)),
% 0.48/1.15      inference(forward_subsumption_resolution,[status(thm)],[c_1563,c_55])).
% 0.48/1.15  
% 0.48/1.15  cnf(c_1566,plain,
% 0.48/1.15      ($false),
% 0.48/1.15      inference(backward_subsumption_resolution,[status(thm)],[c_86,c_1565])).
% 0.48/1.15  
% 0.48/1.15  
% 0.48/1.15  % SZS output end CNFRefutation for theBenchmark.p
% 0.48/1.15  
% 0.48/1.15  
%------------------------------------------------------------------------------