TSTP Solution File: NUM560+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:49:56 EDT 2024

% Result   : Theorem 0.44s 1.13s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f68,conjecture,
    ( ( ! [X0] :
          ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
        <=> ( xy = sdtlpdtrp0(xF,X0)
            & aElementOf0(X0,szDzozmdt0(xF)) ) )
      & aSet0(sdtlbdtrb0(xF,xy)) )
   => ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
      | ! [X0] :
          ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
         => aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f69,negated_conjecture,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
          <=> ( xy = sdtlpdtrp0(xF,X0)
              & aElementOf0(X0,szDzozmdt0(xF)) ) )
        & aSet0(sdtlbdtrb0(xF,xy)) )
     => ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
        | ! [X0] :
            ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
           => aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
    inference(negated_conjecture,[],[f68]) ).

fof(f77,plain,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
          <=> ( xy = sdtlpdtrp0(xF,X0)
              & aElementOf0(X0,szDzozmdt0(xF)) ) )
        & aSet0(sdtlbdtrb0(xF,xy)) )
     => ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
        | ! [X1] :
            ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
           => aElementOf0(X1,szDzozmdt0(xF)) ) ) ),
    inference(rectify,[],[f69]) ).

fof(f168,plain,
    ( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
    & ? [X1] :
        ( ~ aElementOf0(X1,szDzozmdt0(xF))
        & aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
    & ! [X0] :
        ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
      <=> ( xy = sdtlpdtrp0(xF,X0)
          & aElementOf0(X0,szDzozmdt0(xF)) ) )
    & aSet0(sdtlbdtrb0(xF,xy)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f169,plain,
    ( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
    & ? [X1] :
        ( ~ aElementOf0(X1,szDzozmdt0(xF))
        & aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
    & ! [X0] :
        ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
      <=> ( xy = sdtlpdtrp0(xF,X0)
          & aElementOf0(X0,szDzozmdt0(xF)) ) )
    & aSet0(sdtlbdtrb0(xF,xy)) ),
    inference(flattening,[],[f168]) ).

fof(f237,plain,
    ( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
    & ? [X1] :
        ( ~ aElementOf0(X1,szDzozmdt0(xF))
        & aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
    & ! [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
          | xy != sdtlpdtrp0(xF,X0)
          | ~ aElementOf0(X0,szDzozmdt0(xF)) )
        & ( ( xy = sdtlpdtrp0(xF,X0)
            & aElementOf0(X0,szDzozmdt0(xF)) )
          | ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
    & aSet0(sdtlbdtrb0(xF,xy)) ),
    inference(nnf_transformation,[],[f169]) ).

fof(f238,plain,
    ( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
    & ? [X1] :
        ( ~ aElementOf0(X1,szDzozmdt0(xF))
        & aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
    & ! [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
          | xy != sdtlpdtrp0(xF,X0)
          | ~ aElementOf0(X0,szDzozmdt0(xF)) )
        & ( ( xy = sdtlpdtrp0(xF,X0)
            & aElementOf0(X0,szDzozmdt0(xF)) )
          | ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
    & aSet0(sdtlbdtrb0(xF,xy)) ),
    inference(flattening,[],[f237]) ).

fof(f239,plain,
    ( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
    & ? [X0] :
        ( ~ aElementOf0(X0,szDzozmdt0(xF))
        & aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
          | xy != sdtlpdtrp0(xF,X1)
          | ~ aElementOf0(X1,szDzozmdt0(xF)) )
        & ( ( xy = sdtlpdtrp0(xF,X1)
            & aElementOf0(X1,szDzozmdt0(xF)) )
          | ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
    & aSet0(sdtlbdtrb0(xF,xy)) ),
    inference(rectify,[],[f238]) ).

fof(f240,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,szDzozmdt0(xF))
        & aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
   => ( ~ aElementOf0(sK17,szDzozmdt0(xF))
      & aElementOf0(sK17,sdtlbdtrb0(xF,xy)) ) ),
    introduced(choice_axiom,[]) ).

fof(f241,plain,
    ( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
    & ~ aElementOf0(sK17,szDzozmdt0(xF))
    & aElementOf0(sK17,sdtlbdtrb0(xF,xy))
    & ! [X1] :
        ( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
          | xy != sdtlpdtrp0(xF,X1)
          | ~ aElementOf0(X1,szDzozmdt0(xF)) )
        & ( ( xy = sdtlpdtrp0(xF,X1)
            & aElementOf0(X1,szDzozmdt0(xF)) )
          | ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
    & aSet0(sdtlbdtrb0(xF,xy)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f239,f240]) ).

fof(f367,plain,
    ! [X1] :
      ( aElementOf0(X1,szDzozmdt0(xF))
      | ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f370,plain,
    aElementOf0(sK17,sdtlbdtrb0(xF,xy)),
    inference(cnf_transformation,[],[f241]) ).

fof(f371,plain,
    ~ aElementOf0(sK17,szDzozmdt0(xF)),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_174,negated_conjecture,
    ~ aElementOf0(sK17,szDzozmdt0(xF)),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_175,negated_conjecture,
    aElementOf0(sK17,sdtlbdtrb0(xF,xy)),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_178,negated_conjecture,
    ( ~ aElementOf0(X0,sdtlbdtrb0(xF,xy))
    | aElementOf0(X0,szDzozmdt0(xF)) ),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_12165,plain,
    szDzozmdt0(xF) = sP1_iProver_def,
    definition ).

cnf(c_12167,negated_conjecture,
    ( ~ aElementOf0(X0,sP0_iProver_def)
    | aElementOf0(X0,sP1_iProver_def) ),
    inference(demodulation,[status(thm)],[c_178,c_12165]) ).

cnf(c_12170,negated_conjecture,
    aElementOf0(sK17,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_175]) ).

cnf(c_12171,negated_conjecture,
    ~ aElementOf0(sK17,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_174]) ).

cnf(c_14210,plain,
    aElementOf0(sK17,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_12170,c_12167]) ).

cnf(c_14211,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_14210,c_12171]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 19:39:43 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 0.44/1.13  % SZS status Started for theBenchmark.p
% 0.44/1.13  % SZS status Theorem for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13  
% 0.44/1.13  ------  iProver source info
% 0.44/1.13  
% 0.44/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13  git: non_committed_changes: false
% 0.44/1.13  
% 0.44/1.13  ------ Parsing...
% 0.44/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.13  ------ Proving...
% 0.44/1.13  ------ Problem Properties 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  clauses                                 130
% 0.44/1.13  conjectures                             7
% 0.44/1.13  EPR                                     35
% 0.44/1.13  Horn                                    97
% 0.44/1.13  unary                                   17
% 0.44/1.13  binary                                  21
% 0.44/1.13  lits                                    442
% 0.44/1.13  lits eq                                 67
% 0.44/1.13  fd_pure                                 0
% 0.44/1.13  fd_pseudo                               0
% 0.44/1.13  fd_cond                                 10
% 0.44/1.13  fd_pseudo_cond                          21
% 0.44/1.13  AC symbols                              0
% 0.44/1.13  
% 0.44/1.13  ------ Schedule dynamic 5 is on 
% 0.44/1.13  
% 0.44/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ 
% 0.44/1.13  Current options:
% 0.44/1.13  ------ 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Proving...
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  % SZS status Theorem for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13  
% 0.44/1.13  
%------------------------------------------------------------------------------