TSTP Solution File: SEU303+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SEU303+2 : TPTP v8.1.2. Released v3.3.0.
% 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 03:05:24 EDT 2024

% Result   : Theorem 35.32s 5.70s
% Output   : CNFRefutation 35.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,axiom,
    ! [X0] :
      ( relation(X0)
     => relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).

fof(f288,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( finite(X0)
       => finite(relation_image(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_finset_1) ).

fof(f318,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( finite(relation_dom(X0))
       => finite(relation_rng(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).

fof(f319,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( finite(relation_dom(X0))
         => finite(relation_rng(X0)) ) ),
    inference(negated_conjecture,[],[f318]) ).

fof(f701,plain,
    ! [X0] :
      ( relation_rng(X0) = relation_image(X0,relation_dom(X0))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f277]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f288]) ).

fof(f718,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f717]) ).

fof(f763,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f319]) ).

fof(f764,plain,
    ? [X0] :
      ( ~ finite(relation_rng(X0))
      & finite(relation_dom(X0))
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f763]) ).

fof(f1571,plain,
    ( ? [X0] :
        ( ~ finite(relation_rng(X0))
        & finite(relation_dom(X0))
        & function(X0)
        & relation(X0) )
   => ( ~ finite(relation_rng(sK328))
      & finite(relation_dom(sK328))
      & function(sK328)
      & relation(sK328) ) ),
    introduced(choice_axiom,[]) ).

fof(f1572,plain,
    ( ~ finite(relation_rng(sK328))
    & finite(relation_dom(sK328))
    & function(sK328)
    & relation(sK328) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK328])],[f764,f1571]) ).

fof(f2552,plain,
    ! [X0] :
      ( relation_rng(X0) = relation_image(X0,relation_dom(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f701]) ).

fof(f2568,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f718]) ).

fof(f2610,plain,
    relation(sK328),
    inference(cnf_transformation,[],[f1572]) ).

fof(f2611,plain,
    function(sK328),
    inference(cnf_transformation,[],[f1572]) ).

fof(f2612,plain,
    finite(relation_dom(sK328)),
    inference(cnf_transformation,[],[f1572]) ).

fof(f2613,plain,
    ~ finite(relation_rng(sK328)),
    inference(cnf_transformation,[],[f1572]) ).

cnf(c_954,plain,
    ( ~ relation(X0)
    | relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
    inference(cnf_transformation,[],[f2552]) ).

cnf(c_970,plain,
    ( ~ finite(X0)
    | ~ function(X1)
    | ~ relation(X1)
    | finite(relation_image(X1,X0)) ),
    inference(cnf_transformation,[],[f2568]) ).

cnf(c_1012,negated_conjecture,
    ~ finite(relation_rng(sK328)),
    inference(cnf_transformation,[],[f2613]) ).

cnf(c_1013,negated_conjecture,
    finite(relation_dom(sK328)),
    inference(cnf_transformation,[],[f2612]) ).

cnf(c_1014,negated_conjecture,
    function(sK328),
    inference(cnf_transformation,[],[f2611]) ).

cnf(c_1015,negated_conjecture,
    relation(sK328),
    inference(cnf_transformation,[],[f2610]) ).

cnf(c_109008,plain,
    relation_dom(sK328) = sP11_iProver_def,
    definition ).

cnf(c_109009,plain,
    relation_rng(sK328) = sP12_iProver_def,
    definition ).

cnf(c_109010,negated_conjecture,
    relation(sK328),
    inference(demodulation,[status(thm)],[c_1015]) ).

cnf(c_109011,negated_conjecture,
    function(sK328),
    inference(demodulation,[status(thm)],[c_1014]) ).

cnf(c_109012,negated_conjecture,
    finite(sP11_iProver_def),
    inference(demodulation,[status(thm)],[c_1013,c_109008]) ).

cnf(c_109013,negated_conjecture,
    ~ finite(sP12_iProver_def),
    inference(demodulation,[status(thm)],[c_1012,c_109009]) ).

cnf(c_151012,plain,
    relation_image(sK328,relation_dom(sK328)) = relation_rng(sK328),
    inference(superposition,[status(thm)],[c_109010,c_954]) ).

cnf(c_151022,plain,
    relation_image(sK328,sP11_iProver_def) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_151012,c_109008,c_109009]) ).

cnf(c_179602,plain,
    ( ~ finite(sP11_iProver_def)
    | ~ function(sK328)
    | ~ relation(sK328)
    | finite(sP12_iProver_def) ),
    inference(superposition,[status(thm)],[c_151022,c_970]) ).

cnf(c_179604,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_179602,c_109013,c_109010,c_109011,c_109012]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU303+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 17:42:35 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.32/5.70  % SZS status Started for theBenchmark.p
% 35.32/5.70  % SZS status Theorem for theBenchmark.p
% 35.32/5.70  
% 35.32/5.70  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.32/5.70  
% 35.32/5.70  ------  iProver source info
% 35.32/5.70  
% 35.32/5.70  git: date: 2024-05-02 19:28:25 +0000
% 35.32/5.70  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.32/5.70  git: non_committed_changes: false
% 35.32/5.70  
% 35.32/5.70  ------ Parsing...
% 35.32/5.70  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 35.32/5.70  
% 35.32/5.70  ------ Preprocessing... sup_sim: 95  sf_s  rm: 12 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e 
% 35.32/5.70  
% 35.32/5.70  ------ Preprocessing... gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 35.32/5.70  
% 35.32/5.70  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 35.32/5.70  ------ Proving...
% 35.32/5.70  ------ Problem Properties 
% 35.32/5.70  
% 35.32/5.70  
% 35.32/5.70  clauses                                 1049
% 35.32/5.70  conjectures                             4
% 35.32/5.70  EPR                                     173
% 35.32/5.70  Horn                                    778
% 35.32/5.70  unary                                   138
% 35.32/5.70  binary                                  321
% 35.32/5.70  lits                                    3131
% 35.32/5.70  lits eq                                 467
% 35.32/5.70  fd_pure                                 0
% 35.32/5.70  fd_pseudo                               0
% 35.32/5.70  fd_cond                                 44
% 35.32/5.70  fd_pseudo_cond                          115
% 35.32/5.70  AC symbols                              0
% 35.32/5.70  
% 35.32/5.70  ------ Schedule dynamic 5 is on 
% 35.32/5.70  
% 35.32/5.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.32/5.70  
% 35.32/5.70  
% 35.32/5.70  ------ 
% 35.32/5.70  Current options:
% 35.32/5.70  ------ 
% 35.32/5.70  
% 35.32/5.70  
% 35.32/5.70  
% 35.32/5.70  
% 35.32/5.70  ------ Proving...
% 35.32/5.70  
% 35.32/5.70  
% 35.32/5.70  % SZS status Theorem for theBenchmark.p
% 35.32/5.70  
% 35.32/5.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.32/5.70  
% 35.32/5.70  
%------------------------------------------------------------------------------