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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM622+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 : n011.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 02:26:16 PM UTC 2026

% Result   : Theorem 144.28s 35.41s
% Output   : CNFRefutation 144.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  21 unt;   0 def)
%            Number of atoms       :  256 (  54 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  292 ( 113   ~; 114   |;  51   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 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  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :   91 (   0 sgn  81   !;  10   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( ~ ? [X1] : aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

fof(f9,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => X0 != slcrc0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).

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

fof(f47,axiom,
    ! [X0] :
      ( ( X0 != slcrc0
        & aSubsetOf0(X0,szNzAzT0) )
     => ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
    & szDzozmdt0(xe) = szNzAzT0
    & aFunction0(xe) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).

fof(f111,axiom,
    ( sdtlpdtrp0(xe,xn) = xp
    & aElementOf0(xn,szNzAzT0)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).

fof(f115,axiom,
    ( xx = sdtlpdtrp0(xe,xm)
    & aElementOf0(xm,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).

fof(f118,axiom,
    aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).

fof(f119,conjecture,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f120,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(negated_conjecture,[status(cth)],[f119]) ).

fof(f128,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(flattening,[],[f120]) ).

fof(f130,plain,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( ! [X1] : ~ aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | X0 != slcrc0 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | X0 != slcrc0 ),
    inference(flattening,[],[f133]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X1)
                | aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f188,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X0)
                | sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f189,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X0)
                | sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,X0) ) ) ),
    inference(flattening,[],[f188]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f248,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
    & szDzozmdt0(xe) = szNzAzT0
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f258,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) ) )
      & ( ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f259,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) ) )
      & ( ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(flattening,[],[f258]) ).

fof(f260,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) ) )
      & ( ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(rectify,[],[f259]) ).

fof(f261,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) ) )
      & ( aElementOf0(sK4(X0),X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f260]) ).

fof(f262,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,[],[f135]) ).

fof(f263,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,[],[f262]) ).

fof(f264,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,[],[f263]) ).

fof(f265,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))],[f264]) ).

fof(f283,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( ( szmzizndt0(X0) != X1
            | ( ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | sdtlseqdt0(X1,X2) )
              & aElementOf0(X1,X0) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ sdtlseqdt0(X1,X2) )
            | ~ aElementOf0(X1,X0)
            | X1 = szmzizndt0(X0) ) ) ),
    inference(nnf_transformation,[],[f189]) ).

fof(f284,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( ( szmzizndt0(X0) != X1
            | ( ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | sdtlseqdt0(X1,X2) )
              & aElementOf0(X1,X0) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ sdtlseqdt0(X1,X2) )
            | ~ aElementOf0(X1,X0)
            | X1 = szmzizndt0(X0) ) ) ),
    inference(flattening,[],[f283]) ).

fof(f285,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( ( szmzizndt0(X0) != X1
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | sdtlseqdt0(X1,X3) )
              & aElementOf0(X1,X0) ) )
          & ( ? [X2] :
                ( aElementOf0(X2,X0)
                & ~ sdtlseqdt0(X1,X2) )
            | ~ aElementOf0(X1,X0)
            | X1 = szmzizndt0(X0) ) ) ),
    inference(rectify,[],[f284]) ).

fof(f286,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( ( szmzizndt0(X0) != X1
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | sdtlseqdt0(X1,X3) )
              & aElementOf0(X1,X0) ) )
          & ( ( aElementOf0(sK10(X0,X1),X0)
              & ~ sdtlseqdt0(X1,sK10(X0,X1)) )
            | ~ aElementOf0(X1,X0)
            | X1 = szmzizndt0(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f285]) ).

fof(f323,plain,
    ! [X0] :
      ( slcrc0 != X0
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f327,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f328,plain,
    ! [X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | aElementOf0(X3,X0) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f367,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f396,plain,
    ! [X0,X1] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | szmzizndt0(X0) != X1
      | aElementOf0(X1,X0) ),
    inference(cnf_transformation,[],[f286]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | isCountable0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f486,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f503,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f534,plain,
    xp = sdtlpdtrp0(xe,xn),
    inference(cnf_transformation,[],[f111]) ).

fof(f535,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f542,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

fof(f545,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f118]) ).

fof(f546,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f128]) ).

fof(f547,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f323]) ).

fof(f549,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(equality_resolution,[],[f327]) ).

fof(f555,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | aElementOf0(szmzizndt0(X0),X0) ),
    inference(equality_resolution,[],[f396]) ).

tcf(c_51,plain,
    aSet0(slcrc0),
    inference(cnf_transformation,[],[f547]) ).

tcf(c_55,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(cnf_transformation,[],[f549]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( aSet0(X0)
      | ~ aSet0(X1)
      | ~ aSubsetOf0(X0,X1) ),
    inference(cnf_transformation,[],[f329]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElementOf0(X0,X2)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f328]) ).

tcf(c_94,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f367]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( aElementOf0(szmzizndt0(X0),X0)
      | ( X0 = slcrc0 )
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f555]) ).

tcf(c_213,plain,
    ! [X0: $i] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f486]) ).

tcf(c_214,plain,
    ! [X0: $i] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f485]) ).

tcf(c_233,plain,
    ! [X0: $i] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f503]) ).

tcf(c_263,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f535]) ).

tcf(c_264,plain,
    sdtlpdtrp0(xe,xn) = xp,
    inference(cnf_transformation,[],[f534]) ).

tcf(c_269,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f542]) ).

tcf(c_273,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f545]) ).

tcf(c_274,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f546]) ).

tcf(c_15953,plain,
    szmzizndt0(sdtlpdtrp0(xN,xn)) = sdtlpdtrp0(xe,xn),
    inference(superposition,[status(thm)],[c_263,c_233]) ).

tcf(c_15957,plain,
    ( aElementOf0(sdtlpdtrp0(xe,xn),sdtlpdtrp0(xN,xn))
    | ( sdtlpdtrp0(xN,xn) = slcrc0 )
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0) ),
    inference(superposition,[status(thm)],[c_15953,c_125]) ).

tcf(c_15979,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_213]) ).

tcf(c_15981,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
    | ~ aElementOf0(xm,szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_213]) ).

tcf(c_16297,plain,
    ! [X0: $i] :
      ( aSet0(sdtlpdtrp0(xN,xm))
      | ~ aSet0(X0)
      | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X0) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_16298,plain,
    ( aSet0(sdtlpdtrp0(xN,xm))
    | ~ aSet0(szNzAzT0)
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_16297]) ).

tcf(c_16299,plain,
    ( aElementOf0(sdtlpdtrp0(xe,xn),sdtlpdtrp0(xN,xn))
    | ( sdtlpdtrp0(xN,xn) = slcrc0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_15957,c_263,c_15957,c_15979]) ).

tcf(c_16301,plain,
    ( aElementOf0(xp,sdtlpdtrp0(xN,xn))
    | ( sdtlpdtrp0(xN,xn) = slcrc0 ) ),
    inference(superposition,[status(thm)],[c_264,c_16299]) ).

tcf(c_16310,plain,
    ! [X0: $i] :
      ( aElementOf0(xp,X0)
      | ( sdtlpdtrp0(xN,xn) = slcrc0 )
      | ~ aSet0(X0)
      | ~ aSubsetOf0(sdtlpdtrp0(xN,xn),X0) ),
    inference(superposition,[status(thm)],[c_16301,c_59]) ).

tcf(c_16314,plain,
    ( aElementOf0(xp,sdtlpdtrp0(xN,xm))
    | ( sdtlpdtrp0(xN,xn) = slcrc0 )
    | ~ aSet0(sdtlpdtrp0(xN,xm)) ),
    inference(superposition,[status(thm)],[c_273,c_16310]) ).

tcf(c_16316,plain,
    sdtlpdtrp0(xN,xn) = slcrc0,
    inference(global_subsumption_just,[status(thm)],[c_16314,c_94,c_269,c_274,c_15981,c_16298,c_16314]) ).

tcf(c_16325,plain,
    ( isCountable0(slcrc0)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(superposition,[status(thm)],[c_16316,c_214]) ).

tcf(c_16331,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16325,c_55,c_263,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM622+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.07/15.31  % CPULimit : 300
% 0.07/15.31  % WCLimit  : 300
% 0.07/15.31  % DateTime : Thu Sep 24 04:57:44 UTC 2026
% 0.07/15.31  % CPUTime  : 
% 0.07/15.31  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/15.34  Running first-order theorem proving
% 0.07/15.34  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
% 0.07/15.35  
% 0.07/15.35  % ======== iProver multi-core TPTP/SMT =========
% 0.07/15.35  
% 0.07/15.35  % Detected problem language: tptp
% 0.07/15.36  % Proving...
% 144.28/35.41  % SZS status Started for theBenchmark.p
% 144.28/35.41  % SZS status Theorem for theBenchmark.p
% 144.28/35.41  
% 144.28/35.41  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 144.28/35.41  
% 144.28/35.41  % ------  iProver source info
% 144.28/35.41  
% 144.28/35.41  % git: date: 2026-07-19 20:42:38 +0200
% 144.28/35.41  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 144.28/35.41  % git: non_committed_changes: false
% 144.28/35.41  
% 144.28/35.41  % ------ Parsing...
% 144.28/35.41  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 144.28/35.41  
% 144.28/35.41  % ------ 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 % 
% 144.28/35.41  
% 144.28/35.41  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 144.28/35.41  
% 144.28/35.41  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 144.28/35.41  % ------ Proving...
% 144.28/35.41  % ------ Problem Properties 
% 144.28/35.41  
% 144.28/35.41  % 
% 144.28/35.41  % clauses                               221
% 144.28/35.41  % conjectures                           1
% 144.28/35.41  % EPR                                   57
% 144.28/35.41  % Horn                                  182
% 144.28/35.41  % unary                                 63
% 144.28/35.41  % binary                                32
% 144.28/35.41  % lits                                  676
% 144.28/35.41  % lits eq                               111
% 144.28/35.41  % fd_pure                               0
% 144.28/35.41  % fd_pseudo                             0
% 144.28/35.41  % fd_cond                               10
% 144.28/35.41  % fd_pseudo_cond                        25
% 144.28/35.41  % AC symbols                            0
% 144.28/35.41  
% 144.28/35.41  % ------ Input Options Time Limit: Unbounded
% 144.28/35.41  
% 144.28/35.41  
% 144.28/35.41  % ------ 
% 144.28/35.41  % Current options:
% 144.28/35.41  % ------ 
% 144.28/35.41  
% 144.28/35.41  
% 144.28/35.41  % 
% 144.28/35.41  
% 144.28/35.41  % ------ Proving...
% 144.28/35.41  % 
% 144.28/35.41  
% 144.28/35.41  % ------ Proving...
% 144.28/35.41  % 
% 144.28/35.41  
% 144.28/35.41  % SZS status Theorem for theBenchmark.p
% 144.28/35.41  
% 144.28/35.41  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 144.28/35.41  
% 144.28/35.41  
%------------------------------------------------------------------------------