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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM609+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:26:12 PM UTC 2026

% Result   : Theorem 18.33s 3.34s
% Output   : CNFRefutation 18.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   75 (  28 unt;   2 def)
%            Number of atoms       :  286 (  38 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  343 ( 132   ~; 131   |;  64   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :  115 (   0 sgn 109   !;   6   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aSet0(X0) )
     => ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X3 != X1
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

fof(f96,axiom,
    ( isCountable0(xO)
    & aSet0(xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).

fof(f101,axiom,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).

fof(f103,axiom,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

fof(f104,axiom,
    ( xP = sdtmndt0(xQ,szmzizndt0(xQ))
    & aSet0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).

fof(f106,axiom,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).

fof(f107,conjecture,
    aSubsetOf0(xP,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f108,negated_conjecture,
    ~ aSubsetOf0(xP,xQ),
    inference(negated_conjecture,[status(cth)],[f107]) ).

fof(f116,plain,
    ~ aSubsetOf0(xP,xQ),
    inference(flattening,[],[f108]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | aElement0(X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X1)
                | aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X3 != X1
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
            & aSet0(X2) ) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( X3 != X1
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
            & aSet0(X2) ) ) ),
    inference(flattening,[],[f133]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X2] :
                  ( ~ aElementOf0(X2,X1)
                  | aElementOf0(X2,X0) )
              & aSet0(X1) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X1)
                & ~ aElementOf0(X2,X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X2] :
                  ( ~ aElementOf0(X2,X1)
                  | aElementOf0(X2,X0) )
              & aSet0(X1) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X1)
                & ~ aElementOf0(X2,X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(flattening,[],[f250]) ).

fof(f252,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | aElementOf0(X3,X0) )
              & aSet0(X1) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X1)
                & ~ aElementOf0(X2,X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(rectify,[],[f251]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | aElementOf0(X3,X0) )
              & aSet0(X1) ) )
          & ( ( aElementOf0(sK5(X0,X1),X1)
              & ~ aElementOf0(sK5(X0,X1),X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f252]) ).

fof(f260,plain,
    ! [X1,X0] :
      ( ~ sP3(X1,X0)
      | ! [X2] :
          ( ( sdtmndt0(X0,X1) != X2
            | sP2(X2,X0,X1) )
          & ( ~ sP2(X2,X0,X1)
            | X2 = sdtmndt0(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f244]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( ~ sP3(X0,X1)
      | ! [X2] :
          ( ( sdtmndt0(X1,X0) != X2
            | sP2(X2,X1,X0) )
          & ( ~ sP2(X2,X1,X0)
            | sdtmndt0(X1,X0) = X2 ) ) ),
    inference(rectify,[],[f260]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(X1,X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | aElementOf0(sK5(X0,X1),X1)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(sK5(X0,X1),X0)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f336,plain,
    ! [X2,X0,X1] :
      ( ~ sP3(X0,X1)
      | sdtmndt0(X1,X0) != X2
      | sP2(X2,X1,X0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | sP3(X1,X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f355,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f503,plain,
    aSet0(xO),
    inference(cnf_transformation,[],[f96]) ).

fof(f511,plain,
    aSubsetOf0(xQ,szNzAzT0),
    inference(cnf_transformation,[],[f101]) ).

fof(f513,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f103]) ).

fof(f514,plain,
    xP = sdtmndt0(xQ,szmzizndt0(xQ)),
    inference(cnf_transformation,[],[f104]) ).

fof(f515,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f104]) ).

fof(f517,plain,
    aElementOf0(xp,xO),
    inference(cnf_transformation,[],[f106]) ).

fof(f518,plain,
    ~ aSubsetOf0(xP,xQ),
    inference(cnf_transformation,[],[f116]) ).

fof(f524,plain,
    ! [X0,X1] :
      ( ~ sP3(X0,X1)
      | sP2(sdtmndt0(X1,X0),X1,X0) ),
    inference(equality_resolution,[],[f336]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( aElement0(X0)
      | ~ aSet0(X1)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( aSubsetOf0(X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0)
      | ~ aElementOf0(sK5(X0,X1),X0) ),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( aSubsetOf0(X0,X1)
      | aElementOf0(sK5(X1,X0),X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( aSet0(X0)
      | ~ aSet0(X1)
      | ~ aSubsetOf0(X0,X1) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i] :
      ( sP2(sdtmndt0(X1,X0),X1,X0)
      | ~ sP3(X0,X1) ),
    inference(cnf_transformation,[],[f524]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i] :
      ( sP3(X0,X1)
      | ~ aSet0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f347]) ).

tcf(c_94,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f355]) ).

tcf(c_242,plain,
    aSet0(xO),
    inference(cnf_transformation,[],[f503]) ).

tcf(c_251,plain,
    aSubsetOf0(xQ,szNzAzT0),
    inference(cnf_transformation,[],[f511]) ).

tcf(c_253,plain,
    szmzizndt0(xQ) = xp,
    inference(cnf_transformation,[],[f513]) ).

tcf(c_254,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f515]) ).

tcf(c_255,plain,
    sdtmndt0(xQ,szmzizndt0(xQ)) = xP,
    inference(cnf_transformation,[],[f514]) ).

tcf(c_257,plain,
    aElementOf0(xp,xO),
    inference(cnf_transformation,[],[f517]) ).

tcf(c_258,negated_conjecture,
    ~ aSubsetOf0(xP,xQ),
    inference(cnf_transformation,[],[f518]) ).

tcf(c_1764,plain,
    sdtmndt0(xQ,xp) = xP,
    inference(light_normalisation,[status(thm)],[c_255,c_253]) ).

tcf(c_3055,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP2(sdtmndt0(X3,X1),X3,X1)
      | ~ aSet0(X2)
      | ~ aElement0(X0)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_87,c_77]) ).

tcf(c_3056,plain,
    ! [X0: $i,X1: $i] :
      ( sP2(sdtmndt0(X1,X0),X1,X0)
      | ~ aSet0(X1)
      | ~ aElement0(X0) ),
    inference(unflattening,[status(thm)],[c_3055]) ).

tcf(c_15245,negated_conjecture,
    ~ aSubsetOf0(xP,xQ),
    inference(demodulation,[status(thm)],[c_258]) ).

tcf(c_18365,plain,
    ( aElement0(xp)
    | ~ aSet0(xO) ),
    inference(superposition,[status(thm)],[c_257,c_49]) ).

tcf(c_18366,plain,
    aElement0(xp),
    inference(forward_subsumption_resolution,[status(thm)],[c_18365,c_242]) ).

tcf(c_18426,plain,
    ( aSet0(xQ)
    | ~ aSet0(szNzAzT0) ),
    inference(superposition,[status(thm)],[c_251,c_58]) ).

tcf(c_18428,plain,
    aSet0(xQ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18426,c_94]) ).

tcf(c_46116,plain,
    ( sP2(xP,xQ,xp)
    | ~ aSet0(xQ)
    | ~ aElement0(xp) ),
    inference(superposition,[status(thm)],[c_1764,c_3056]) ).

tcf(c_46154,plain,
    sP2(xP,xQ,xp),
    inference(forward_subsumption_resolution,[status(thm)],[c_46116,c_18428,c_18366]) ).

fof(f243,definition,
    ! [X2,X0,X1] :
      ( sP2(X2,X0,X1)
    <=> ( ! [X3] :
            ( aElementOf0(X3,X2)
          <=> ( X3 != X1
              & aElementOf0(X3,X0)
              & aElement0(X3) ) )
        & aSet0(X2) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f244,definition,
    ! [X1,X0] :
      ( ~ sP3(X1,X0)
      | ! [X2] :
          ( X2 = sdtmndt0(X0,X1)
        <=> sP2(X2,X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aSet0(X0)
      | sP3(X1,X0) ),
    inference(definition_folding,[],[f134,f244,f243]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP2(X2,X0,X1)
        | ( ! [X3] :
              ( ( ~ aElementOf0(X3,X2)
                | ( X3 != X1
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
              & ( X1 = X3
                | ~ aElementOf0(X3,X0)
                | ~ aElement0(X3)
                | aElementOf0(X3,X2) ) )
          & aSet0(X2) ) )
      & ( ? [X3] :
            ( ( aElementOf0(X3,X2)
              | ( X3 != X1
                & aElementOf0(X3,X0)
                & aElement0(X3) ) )
            & ( ~ aElementOf0(X3,X2)
              | X1 = X3
              | ~ aElementOf0(X3,X0)
              | ~ aElement0(X3) ) )
        | ~ aSet0(X2)
        | sP2(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f243]) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( ( ~ sP2(X2,X0,X1)
        | ( ! [X3] :
              ( ( ~ aElementOf0(X3,X2)
                | ( X3 != X1
                  & aElementOf0(X3,X0)
                  & aElement0(X3) ) )
              & ( X1 = X3
                | ~ aElementOf0(X3,X0)
                | ~ aElement0(X3)
                | aElementOf0(X3,X2) ) )
          & aSet0(X2) ) )
      & ( ? [X3] :
            ( ( aElementOf0(X3,X2)
              | ( X3 != X1
                & aElementOf0(X3,X0)
                & aElement0(X3) ) )
            & ( ~ aElementOf0(X3,X2)
              | X1 = X3
              | ~ aElementOf0(X3,X0)
              | ~ aElement0(X3) ) )
        | ~ aSet0(X2)
        | sP2(X2,X0,X1) ) ),
    inference(flattening,[],[f262]) ).

fof(f264,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP2(X0,X1,X2)
        | ( ! [X4] :
              ( ( ~ aElementOf0(X4,X0)
                | ( X2 != X4
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
              & ( X2 = X4
                | ~ aElementOf0(X4,X1)
                | ~ aElement0(X4)
                | aElementOf0(X4,X0) ) )
          & aSet0(X0) ) )
      & ( ? [X3] :
            ( ( aElementOf0(X3,X0)
              | ( X2 != X3
                & aElementOf0(X3,X1)
                & aElement0(X3) ) )
            & ( ~ aElementOf0(X3,X0)
              | X2 = X3
              | ~ aElementOf0(X3,X1)
              | ~ aElement0(X3) ) )
        | ~ aSet0(X0)
        | sP2(X0,X1,X2) ) ),
    inference(rectify,[],[f263]) ).

fof(f265,plain,
    ! [X0,X1,X2] :
      ( ( ~ sP2(X0,X1,X2)
        | ( ! [X4] :
              ( ( ~ aElementOf0(X4,X0)
                | ( X2 != X4
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
              & ( X2 = X4
                | ~ aElementOf0(X4,X1)
                | ~ aElement0(X4)
                | aElementOf0(X4,X0) ) )
          & aSet0(X0) ) )
      & ( ( ( aElementOf0(sK7(X0,X1,X2),X0)
            | ( sK7(X0,X1,X2) != X2
              & aElementOf0(sK7(X0,X1,X2),X1)
              & aElement0(sK7(X0,X1,X2)) ) )
          & ( ~ aElementOf0(sK7(X0,X1,X2),X0)
            | sK7(X0,X1,X2) = X2
            | ~ aElementOf0(sK7(X0,X1,X2),X1)
            | ~ aElement0(sK7(X0,X1,X2)) ) )
        | ~ aSet0(X0)
        | sP2(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f264]) ).

fof(f339,plain,
    ! [X2,X0,X1,X4] :
      ( ~ sP2(X0,X1,X2)
      | ~ aElementOf0(X4,X0)
      | aElementOf0(X4,X1) ),
    inference(cnf_transformation,[],[f265]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( aElementOf0(X3,X1)
      | ~ aElementOf0(X3,X0)
      | ~ sP2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f339]) ).

tcf(c_46324,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,xQ)
      | ~ aElementOf0(X0,xP) ),
    inference(superposition,[status(thm)],[c_46154,c_85]) ).

tcf(c_46549,plain,
    ! [X0: $i] :
      ( aSubsetOf0(xP,X0)
      | aElementOf0(sK5(X0,xP),xQ)
      | ~ aSet0(xP)
      | ~ aSet0(X0) ),
    inference(superposition,[status(thm)],[c_57,c_46324]) ).

tcf(c_46587,plain,
    ! [X0: $i] :
      ( aSubsetOf0(xP,X0)
      | aElementOf0(sK5(X0,xP),xQ)
      | ~ aSet0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_46549,c_254]) ).

tcf(c_47972,plain,
    ( aSubsetOf0(xP,xQ)
    | ~ aSet0(xP)
    | ~ aSet0(xQ) ),
    inference(superposition,[status(thm)],[c_46587,c_56]) ).

tcf(c_47976,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_47972,c_15245,c_254,c_18428]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM609+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 04:56:03 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 18.33/3.34  % SZS status Started for theBenchmark.p
% 18.33/3.34  % SZS status Theorem for theBenchmark.p
% 18.33/3.34  
% 18.33/3.34  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.33/3.34  
% 18.33/3.34  % ------  iProver source info
% 18.33/3.34  
% 18.33/3.34  % git: date: 2026-07-19 20:42:38 +0200
% 18.33/3.34  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.33/3.34  % git: non_committed_changes: false
% 18.33/3.34  
% 18.33/3.34  % ------ Parsing...
% 18.33/3.34  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 18.33/3.34  
% 18.33/3.34  % ------ Preprocessing... sup_sim: 3  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 % 
% 18.33/3.34  
% 18.33/3.34  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 18.33/3.34  
% 18.33/3.34  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 18.33/3.34  % ------ Proving...
% 18.33/3.34  % ------ Problem Properties 
% 18.33/3.34  
% 18.33/3.34  % 
% 18.33/3.34  % clauses                               205
% 18.33/3.34  % conjectures                           1
% 18.33/3.34  % EPR                                   51
% 18.33/3.34  % Horn                                  166
% 18.33/3.34  % unary                                 47
% 18.33/3.34  % binary                                32
% 18.33/3.34  % lits                                  660
% 18.33/3.34  % lits eq                               106
% 18.33/3.34  % fd_pure                               0
% 18.33/3.34  % fd_pseudo                             0
% 18.33/3.34  % fd_cond                               10
% 18.33/3.34  % fd_pseudo_cond                        25
% 18.33/3.34  % AC symbols                            0
% 18.33/3.34  
% 18.33/3.34  % ------ Schedule dynamic 5 is on 
% 18.33/3.34  
% 18.33/3.34  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.33/3.34  
% 18.33/3.34  
% 18.33/3.34  % ------ 
% 18.33/3.34  % Current options:
% 18.33/3.34  % ------ 
% 18.33/3.34  
% 18.33/3.34  
% 18.33/3.34  % 
% 18.33/3.34  
% 18.33/3.34  % ------ Proving...
% 18.33/3.34  % 
% 18.33/3.34  
% 18.33/3.34  % SZS status Theorem for theBenchmark.p
% 18.33/3.34  
% 18.33/3.34  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.33/3.34  
% 18.33/3.34  
%------------------------------------------------------------------------------