TSTP Solution File: SWC200+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC200+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:11:34 EDT 2024

% Result   : Theorem 91.34s 13.20s
% Output   : CNFRefutation 91.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f588)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ? [X4] :
                        ( ! [X5] :
                            ( ssItem(X5)
                           => ( X4 = X5
                              | ~ memberP(X0,X5) ) )
                        & ssItem(X4) )
                    | ~ singletonP(X2)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ? [X4] :
                          ( ! [X5] :
                              ( ssItem(X5)
                             => ( X4 = X5
                                | ~ memberP(X0,X5) ) )
                          & ssItem(X4) )
                      | ~ singletonP(X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f98,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f100,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( cons(X1,nil) = X0
            & ssItem(X1) ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ? [X5] :
                          ( X4 != X5
                          & memberP(X0,X5)
                          & ssItem(X5) )
                      | ~ ssItem(X4) )
                  & singletonP(X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ? [X5] :
                          ( X4 != X5
                          & memberP(X0,X5)
                          & ssItem(X5) )
                      | ~ ssItem(X4) )
                  & singletonP(X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f232,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f241,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X1] :
              ( cons(X1,nil) = X0
              & ssItem(X1) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f242,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ? [X2] :
              ( cons(X2,nil) = X0
              & ssItem(X2) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f241]) ).

fof(f243,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,nil) = X0
          & ssItem(X2) )
     => ( cons(sK10(X0),nil) = X0
        & ssItem(sK10(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f244,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( cons(X1,nil) != X0
              | ~ ssItem(X1) ) )
        & ( ( cons(sK10(X0),nil) = X0
            & ssItem(sK10(X0)) )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f242,f243]) ).

fof(f324,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f325,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f324]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ! [X4] :
                        ( ? [X5] :
                            ( X4 != X5
                            & memberP(X0,X5)
                            & ssItem(X5) )
                        | ~ ssItem(X4) )
                    & singletonP(X2)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ? [X5] :
                          ( X4 != X5
                          & memberP(sK53,X5)
                          & ssItem(X5) )
                      | ~ ssItem(X4) )
                  & singletonP(X2)
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ! [X4] :
                    ( ? [X5] :
                        ( X4 != X5
                        & memberP(sK53,X5)
                        & ssItem(X5) )
                    | ~ ssItem(X4) )
                & singletonP(X2)
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( ? [X5] :
                      ( X4 != X5
                      & memberP(sK53,X5)
                      & ssItem(X5) )
                  | ~ ssItem(X4) )
              & singletonP(X2)
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ! [X4] :
                ( ? [X5] :
                    ( X4 != X5
                    & memberP(sK53,X5)
                    & ssItem(X5) )
                | ~ ssItem(X4) )
            & singletonP(X2)
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ! [X4] :
              ( ? [X5] :
                  ( X4 != X5
                  & memberP(sK53,X5)
                  & ssItem(X5) )
              | ~ ssItem(X4) )
          & singletonP(sK55)
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ! [X4] :
            ( ? [X5] :
                ( X4 != X5
                & memberP(sK53,X5)
                & ssItem(X5) )
            | ~ ssItem(X4) )
        & singletonP(sK55)
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ! [X4] :
          ( ? [X5] :
              ( X4 != X5
              & memberP(sK53,X5)
              & ssItem(X5) )
          | ~ ssItem(X4) )
      & singletonP(sK55)
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ! [X4] :
      ( ? [X5] :
          ( X4 != X5
          & memberP(sK53,X5)
          & ssItem(X5) )
     => ( sK57(X4) != X4
        & memberP(sK53,sK57(X4))
        & ssItem(sK57(X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ! [X4] :
        ( ( sK57(X4) != X4
          & memberP(sK53,sK57(X4))
          & ssItem(sK57(X4)) )
        | ~ ssItem(X4) )
    & singletonP(sK55)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f222,f347,f346,f345,f344,f343]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f358,plain,
    ! [X0] :
      ( ssItem(sK10(X0))
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f359,plain,
    ! [X0] :
      ( cons(sK10(X0),nil) = X0
      | ~ singletonP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f441,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f468,plain,
    ! [X2,X0,X1] :
      ( memberP(X2,X0)
      | X0 = X1
      | ~ memberP(cons(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f325]) ).

fof(f471,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f548,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f348]) ).

fof(f553,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f348]) ).

fof(f554,plain,
    singletonP(sK55),
    inference(cnf_transformation,[],[f348]) ).

fof(f555,plain,
    ! [X4] :
      ( ssItem(sK57(X4))
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f556,plain,
    ! [X4] :
      ( memberP(sK53,sK57(X4))
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f557,plain,
    ! [X4] :
      ( sK57(X4) != X4
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f558,plain,
    ! [X4] :
      ( memberP(sK55,sK57(X4))
      | ~ ssItem(X4) ),
    inference(definition_unfolding,[],[f556,f553]) ).

fof(f560,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f548,f553]) ).

cnf(c_49,plain,
    ( ~ ssItem(X0)
    | ~ ssItem(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f350]) ).

cnf(c_50,plain,
    ( ~ neq(X0,X0)
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f588]) ).

cnf(c_59,plain,
    ( ~ ssList(X0)
    | ~ singletonP(X0)
    | cons(sK10(X0),nil) = X0 ),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_60,plain,
    ( ~ ssList(X0)
    | ~ singletonP(X0)
    | ssItem(sK10(X0)) ),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_170,plain,
    ( ~ memberP(cons(X0,X1),X2)
    | ~ ssItem(X0)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | X0 = X2
    | memberP(X1,X2) ),
    inference(cnf_transformation,[],[f468]) ).

cnf(c_171,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f471]) ).

cnf(c_246,negated_conjecture,
    ( sK57(X0) != X0
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_247,negated_conjecture,
    ( ~ ssItem(X0)
    | memberP(sK55,sK57(X0)) ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_248,negated_conjecture,
    ( ~ ssItem(X0)
    | ssItem(sK57(X0)) ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_249,negated_conjecture,
    singletonP(sK55),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_253,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_435,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_439,plain,
    ( X0 != X1
    | X2 != X3
    | ~ memberP(X1,X3)
    | memberP(X0,X2) ),
    theory(equality) ).

cnf(c_487,plain,
    ( ~ ssList(sK55)
    | ~ singletonP(sK55)
    | ssItem(sK10(sK55)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_492,plain,
    ( ~ ssList(sK55)
    | ~ singletonP(sK55)
    | cons(sK10(sK55),nil) = sK55 ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_804,plain,
    ( sK57(sK10(sK55)) != sK10(sK55)
    | ~ ssItem(sK10(sK55)) ),
    inference(instantiation,[status(thm)],[c_246]) ).

cnf(c_805,plain,
    ( ~ ssItem(sK10(sK55))
    | ssItem(sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_248]) ).

cnf(c_806,plain,
    ( ~ ssItem(sK10(sK55))
    | memberP(sK55,sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_247]) ).

cnf(c_2057,plain,
    ( sK57(sK10(sK55)) != X0
    | sK10(sK55) != X0
    | sK57(sK10(sK55)) = sK10(sK55) ),
    inference(instantiation,[status(thm)],[c_435]) ).

cnf(c_2075,plain,
    ( ~ ssItem(sK57(sK10(sK55)))
    | ~ ssItem(X0)
    | X0 = sK57(sK10(sK55))
    | neq(X0,sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_6775,plain,
    ( ~ ssItem(sK57(sK10(sK55)))
    | sK57(sK10(sK55)) = sK57(sK10(sK55))
    | neq(sK57(sK10(sK55)),sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_2075]) ).

cnf(c_6777,plain,
    ( ~ neq(sK57(sK10(sK55)),sK57(sK10(sK55)))
    | ~ ssItem(sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_9504,plain,
    ( sK57(sK10(sK55)) != sK57(sK10(sK55))
    | sK10(sK55) != sK57(sK10(sK55))
    | sK57(sK10(sK55)) = sK10(sK55) ),
    inference(instantiation,[status(thm)],[c_2057]) ).

cnf(c_48153,plain,
    ( X0 != sK55
    | X1 != sK57(X2)
    | ~ memberP(sK55,sK57(X2))
    | memberP(X0,X1) ),
    inference(instantiation,[status(thm)],[c_439]) ).

cnf(c_51051,plain,
    ( ~ memberP(cons(X0,X1),sK57(X2))
    | ~ ssItem(sK57(X2))
    | ~ ssItem(X0)
    | ~ ssList(X1)
    | X0 = sK57(X2)
    | memberP(X1,sK57(X2)) ),
    inference(instantiation,[status(thm)],[c_170]) ).

cnf(c_51342,plain,
    ( sK57(X0) != sK57(X0)
    | X1 != sK55
    | ~ memberP(sK55,sK57(X0))
    | memberP(X1,sK57(X0)) ),
    inference(instantiation,[status(thm)],[c_48153]) ).

cnf(c_54812,plain,
    ( ~ memberP(cons(X0,X1),sK57(sK10(sK55)))
    | ~ ssItem(sK57(sK10(sK55)))
    | ~ ssItem(X0)
    | ~ ssList(X1)
    | X0 = sK57(sK10(sK55))
    | memberP(X1,sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_51051]) ).

cnf(c_56613,plain,
    ( cons(sK10(sK55),nil) != sK55
    | sK57(X0) != sK57(X0)
    | ~ memberP(sK55,sK57(X0))
    | memberP(cons(sK10(sK55),nil),sK57(X0)) ),
    inference(instantiation,[status(thm)],[c_51342]) ).

cnf(c_63517,plain,
    ( cons(sK10(sK55),nil) != sK55
    | sK57(sK10(sK55)) != sK57(sK10(sK55))
    | ~ memberP(sK55,sK57(sK10(sK55)))
    | memberP(cons(sK10(sK55),nil),sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_56613]) ).

cnf(c_66336,plain,
    ( ~ memberP(nil,sK57(X0))
    | ~ ssItem(sK57(X0)) ),
    inference(instantiation,[status(thm)],[c_171]) ).

cnf(c_124553,plain,
    ( ~ memberP(cons(sK10(sK55),nil),sK57(sK10(sK55)))
    | ~ ssItem(sK57(sK10(sK55)))
    | ~ ssItem(sK10(sK55))
    | ~ ssList(nil)
    | sK10(sK55) = sK57(sK10(sK55))
    | memberP(nil,sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_54812]) ).

cnf(c_148427,plain,
    ( ~ memberP(nil,sK57(sK10(sK55)))
    | ~ ssItem(sK57(sK10(sK55))) ),
    inference(instantiation,[status(thm)],[c_66336]) ).

cnf(c_148428,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_148427,c_124553,c_63517,c_9504,c_6777,c_6775,c_804,c_805,c_806,c_492,c_487,c_141,c_249,c_253]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC200+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n022.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 23:28:42 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 91.34/13.20  % SZS status Started for theBenchmark.p
% 91.34/13.20  % SZS status Theorem for theBenchmark.p
% 91.34/13.20  
% 91.34/13.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 91.34/13.20  
% 91.34/13.20  ------  iProver source info
% 91.34/13.20  
% 91.34/13.20  git: date: 2024-05-02 19:28:25 +0000
% 91.34/13.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 91.34/13.20  git: non_committed_changes: false
% 91.34/13.20  
% 91.34/13.20  ------ Parsing...
% 91.34/13.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 91.34/13.20  
% 91.34/13.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 91.34/13.20  
% 91.34/13.20  ------ Preprocessing...
% 91.34/13.20  
% 91.34/13.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 91.34/13.20  ------ Proving...
% 91.34/13.20  ------ Problem Properties 
% 91.34/13.20  
% 91.34/13.20  
% 91.34/13.20  clauses                                 199
% 91.34/13.20  conjectures                             6
% 91.34/13.20  EPR                                     65
% 91.34/13.20  Horn                                    129
% 91.34/13.20  unary                                   19
% 91.34/13.20  binary                                  51
% 91.34/13.20  lits                                    660
% 91.34/13.20  lits eq                                 81
% 91.34/13.20  fd_pure                                 0
% 91.34/13.20  fd_pseudo                               0
% 91.34/13.20  fd_cond                                 21
% 91.34/13.20  fd_pseudo_cond                          16
% 91.34/13.20  AC symbols                              0
% 91.34/13.20  
% 91.34/13.20  ------ Input Options Time Limit: Unbounded
% 91.34/13.20  
% 91.34/13.20  
% 91.34/13.20  ------ 
% 91.34/13.20  Current options:
% 91.34/13.20  ------ 
% 91.34/13.20  
% 91.34/13.20  
% 91.34/13.20  
% 91.34/13.20  
% 91.34/13.20  ------ Proving...
% 91.34/13.20  
% 91.34/13.20  
% 91.34/13.20  % SZS status Theorem for theBenchmark.p
% 91.34/13.20  
% 91.34/13.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 91.34/13.20  
% 91.34/13.20  
%------------------------------------------------------------------------------