TSTP Solution File: DAT070_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : DAT070_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 22:15:33 EDT 2023

% Result   : Theorem 2.12s 1.19s
% Output   : CNFRefutation 2.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT070_1 : TPTP v8.1.2. Released v5.5.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n009.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 : Thu Aug 24 14:40:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.49  Running TFA theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.12/1.19  % SZS status Started for theBenchmark.p
% 2.12/1.19  % SZS status Theorem for theBenchmark.p
% 2.12/1.19  
% 2.12/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.12/1.19  
% 2.12/1.19  ------  iProver source info
% 2.12/1.19  
% 2.12/1.19  git: date: 2023-05-31 18:12:56 +0000
% 2.12/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.12/1.19  git: non_committed_changes: false
% 2.12/1.19  git: last_make_outside_of_git: false
% 2.12/1.19  
% 2.12/1.19  ------ Parsing...
% 2.12/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.12/1.19  
% 2.12/1.19  ------ 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 
% 2.12/1.19  
% 2.12/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.12/1.19  
% 2.12/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.12/1.19  ------ Proving...
% 2.12/1.19  ------ Problem Properties 
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  clauses                                 31
% 2.12/1.19  conjectures                             2
% 2.12/1.19  EPR                                     7
% 2.12/1.19  Horn                                    26
% 2.12/1.19  unary                                   20
% 2.12/1.19  binary                                  7
% 2.12/1.19  lits                                    46
% 2.12/1.19  lits eq                                 24
% 2.12/1.19  fd_pure                                 0
% 2.12/1.19  fd_pseudo                               0
% 2.12/1.19  fd_cond                                 0
% 2.12/1.19  fd_pseudo_cond                          5
% 2.12/1.19  AC symbols                              1
% 2.12/1.19  
% 2.12/1.19  ------ Input Options Time Limit: Unbounded
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  ------ 
% 2.12/1.19  Current options:
% 2.12/1.19  ------ 
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  ------ Proving...
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  % SZS status Theorem for theBenchmark.p
% 2.12/1.19  
% 2.12/1.19  % SZS output start CNFRefutation for theBenchmark.p
% 2.12/1.19  
% 2.12/1.19  tff(f3,axiom,(
% 2.12/1.19    ! [X2 : $int,X1 : heap,X0 : $int] : ($sum(1,length(X1)) != X0 => sel(app(X1,X2),X0) = sel(X1,X0))),
% 2.12/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_3)).
% 2.12/1.19  
% 2.12/1.19  tff(f15,conjecture,(
% 2.12/1.19    ! [X2 : $int,X0 : $int,X1 : heap] : (~$less(X0,$sum(1,length(X1))) | sel(app(X1,X2),X0) = sel(X1,X0))),
% 2.12/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',th_5)).
% 2.12/1.19  
% 2.12/1.19  tff(f16,negated_conjecture,(
% 2.12/1.19    ~! [X2 : $int,X0 : $int,X1 : heap] : (~$less(X0,$sum(1,length(X1))) | sel(app(X1,X2),X0) = sel(X1,X0))),
% 2.12/1.19    inference(negated_conjecture,[],[f15])).
% 2.12/1.19  
% 2.12/1.19  tff(f22,plain,(
% 2.12/1.19    ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 2.12/1.19    introduced(theory_axiom_145,[])).
% 2.12/1.19  
% 2.12/1.19  tff(f30,plain,(
% 2.12/1.19    ! [X0 : $int,X1 : heap,X2 : $int] : ($sum(1,length(X1)) != X2 => sel(app(X1,X0),X2) = sel(X1,X2))),
% 2.12/1.19    inference(rectify,[],[f3])).
% 2.12/1.19  
% 2.12/1.19  tff(f41,plain,(
% 2.12/1.19    ~! [X0 : $int,X1 : $int,X2 : heap] : (~$less(X1,$sum(1,length(X2))) | sel(app(X2,X0),X1) = sel(X2,X1))),
% 2.12/1.19    inference(rectify,[],[f16])).
% 2.12/1.19  
% 2.12/1.19  tff(f43,plain,(
% 2.12/1.19    ! [X0 : $int,X1 : heap,X2 : $int] : (sel(app(X1,X0),X2) = sel(X1,X2) | $sum(1,length(X1)) = X2)),
% 2.12/1.19    inference(ennf_transformation,[],[f30])).
% 2.12/1.19  
% 2.12/1.19  tff(f46,plain,(
% 2.12/1.19    ? [X0 : $int,X1 : $int,X2 : heap] : ($less(X1,$sum(1,length(X2))) & sel(app(X2,X0),X1) != sel(X2,X1))),
% 2.12/1.19    inference(ennf_transformation,[],[f41])).
% 2.12/1.19  
% 2.12/1.19  tff(f51,plain,(
% 2.12/1.19    ? [X0 : $int,X1 : $int,X2 : heap] : ($less(X1,$sum(1,length(X2))) & sel(app(X2,X0),X1) != sel(X2,X1)) => ($less(sK1,$sum(1,length(sK2))) & sel(app(sK2,sK0),sK1) != sel(sK2,sK1))),
% 2.12/1.19    introduced(choice_axiom,[])).
% 2.12/1.19  
% 2.12/1.19  tff(f52,plain,(
% 2.12/1.19    $less(sK1,$sum(1,length(sK2))) & sel(app(sK2,sK0),sK1) != sel(sK2,sK1)),
% 2.12/1.19    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f51])).
% 2.12/1.19  
% 2.12/1.19  tff(f55,plain,(
% 2.12/1.19    ( ! [X2 : $int,X0 : $int,X1 : heap] : (sel(app(X1,X0),X2) = sel(X1,X2) | $sum(1,length(X1)) = X2) )),
% 2.12/1.19    inference(cnf_transformation,[],[f43])).
% 2.12/1.19  
% 2.12/1.19  tff(f71,plain,(
% 2.12/1.19    sel(app(sK2,sK0),sK1) != sel(sK2,sK1)),
% 2.12/1.19    inference(cnf_transformation,[],[f52])).
% 2.12/1.19  
% 2.12/1.19  tff(f72,plain,(
% 2.12/1.19    $less(sK1,$sum(1,length(sK2)))),
% 2.12/1.19    inference(cnf_transformation,[],[f52])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_55,plain,
% 2.12/1.19      (~$less_int(X0_3,X0_3)),
% 2.12/1.19      inference(cnf_transformation,[],[f22])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_63,plain,
% 2.12/1.19      (sel(app(X0_13,X0_3),X1_3) = sel(X0_13,X1_3)|$sum_int(1,length(X0_13)) = X1_3),
% 2.12/1.19      inference(cnf_transformation,[],[f55])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_78,negated_conjecture,
% 2.12/1.19      ($less_int(sK1,$sum_int(1,length(sK2)))),
% 2.12/1.19      inference(cnf_transformation,[],[f72])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_79,negated_conjecture,
% 2.12/1.19      (sel(app(sK2,sK0),sK1) != sel(sK2,sK1)),
% 2.12/1.19      inference(cnf_transformation,[],[f71])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_2168,plain,
% 2.12/1.19      ($sum_int(1,length(sK2)) = sK1),
% 2.12/1.19      inference(superposition,[status(thm)],[c_63,c_79])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_2179,plain,
% 2.12/1.19      ($less_int(sK1,sK1)),
% 2.12/1.19      inference(demodulation,[status(thm)],[c_78,c_2168])).
% 2.12/1.19  
% 2.12/1.19  cnf(c_2180,plain,
% 2.12/1.19      ($false),
% 2.12/1.19      inference(forward_subsumption_resolution,[status(thm)],[c_2179,c_55])).
% 2.12/1.19  
% 2.12/1.19  
% 2.12/1.19  % SZS output end CNFRefutation for theBenchmark.p
% 2.12/1.19  
% 2.12/1.19  
%------------------------------------------------------------------------------