↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM604+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.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 02:26:11 PM UTC 2026

% Result   : Theorem 4.81s 2.19s
% Output   : CNFRefutation 4.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   78 (  24 unt;   0 def)
%            Number of atoms       :  251 (  52 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  285 ( 112   ~; 109   |;  50   &)
%                                         (   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    :   13 (  13 usr;   7 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/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

fof(f9,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => X0 != slcrc0 ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefMin) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__4660) ).

fof(f99,axiom,
    ( sdtlpdtrp0(xe,xi) = xx
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).

fof(f100,axiom,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).

fof(f101,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f102,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(negated_conjecture,[status(cth)],[f101]) ).

fof(f103,plain,
    ~ aElementOf0(xx,xS),
    inference(flattening,[],[f102]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f131,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) )
    & szDzozmdt0(xe) = szNzAzT0
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X1)
                | aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f189,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(f190,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( X1 = szmzizndt0(X0)
        <=> ( ! [X2] :
                ( ~ aElementOf0(X2,X0)
                | sdtlseqdt0(X1,X2) )
            & aElementOf0(X1,X0) ) ) ),
    inference(flattening,[],[f189]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | X0 != slcrc0 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f212,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | X0 != slcrc0 ),
    inference(flattening,[],[f211]) ).

fof(f213,plain,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( ! [X1] : ~ aElementOf0(X1,X0)
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f242,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,[],[f150]) ).

fof(f243,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,[],[f242]) ).

fof(f244,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,[],[f243]) ).

fof(f245,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ~ aSubsetOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X1)
                  | aElementOf0(X3,X0) )
              & aSet0(X1) ) )
          & ( ( aElementOf0(sK11(X0,X1),X1)
              & ~ aElementOf0(sK11(X0,X1),X0) )
            | ~ aSet0(X1)
            | aSubsetOf0(X1,X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f244]) ).

fof(f260,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,[],[f190]) ).

fof(f261,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,[],[f260]) ).

fof(f262,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,[],[f261]) ).

fof(f263,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ! [X1] :
          ( ( szmzizndt0(X0) != X1
            | ( ! [X3] :
                  ( ~ aElementOf0(X3,X0)
                  | sdtlseqdt0(X1,X3) )
              & aElementOf0(X1,X0) ) )
          & ( ( aElementOf0(sK19(X0,X1),X0)
              & ~ sdtlseqdt0(X1,sK19(X0,X1)) )
            | ~ aElementOf0(X1,X0)
            | X1 = szmzizndt0(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f262]) ).

fof(f274,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) ) )
      & ( ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(nnf_transformation,[],[f213]) ).

fof(f275,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X1] : ~ aElementOf0(X1,X0)
          & aSet0(X0) ) )
      & ( ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(flattening,[],[f274]) ).

fof(f276,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) ) )
      & ( ? [X1] : aElementOf0(X1,X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(rectify,[],[f275]) ).

fof(f277,plain,
    ! [X0] :
      ( ( slcrc0 != X0
        | ( ! [X2] : ~ aElementOf0(X2,X0)
          & aSet0(X0) ) )
      & ( aElementOf0(sK22(X0),X0)
        | ~ aSet0(X0)
        | X0 = slcrc0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f276]) ).

fof(f296,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f313,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | isCountable0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f314,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f348,plain,
    xx = sdtlpdtrp0(xe,xi),
    inference(cnf_transformation,[],[f99]) ).

fof(f349,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f99]) ).

fof(f350,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(cnf_transformation,[],[f100]) ).

fof(f351,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f103]) ).

fof(f360,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f364,plain,
    ! [X3,X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0)
      | ~ aElementOf0(X3,X1)
      | aElementOf0(X3,X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aSubsetOf0(X1,X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f419,plain,
    ! [X0,X1] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | szmzizndt0(X0) != X1
      | aElementOf0(X1,X0) ),
    inference(cnf_transformation,[],[f263]) ).

fof(f452,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f212]) ).

fof(f455,plain,
    ! [X0] :
      ( slcrc0 != X0
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f277]) ).

fof(f494,plain,
    ! [X0] :
      ( slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0)
      | aElementOf0(szmzizndt0(X0),X0) ),
    inference(equality_resolution,[],[f419]) ).

fof(f503,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(equality_resolution,[],[f452]) ).

fof(f504,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f455]) ).

tcf(c_52,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f296]) ).

tcf(c_70,plain,
    ! [X0: $i] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_71,plain,
    ! [X0: $i] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_90,plain,
    ! [X0: $i] :
      ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f331]) ).

tcf(c_105,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f349]) ).

tcf(c_106,plain,
    sdtlpdtrp0(xe,xi) = xx,
    inference(cnf_transformation,[],[f348]) ).

tcf(c_107,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(cnf_transformation,[],[f350]) ).

tcf(c_108,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f351]) ).

tcf(c_116,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f360]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i] :
      ( aSet0(X0)
      | ~ aSet0(X1)
      | ~ aSubsetOf0(X0,X1) ),
    inference(cnf_transformation,[],[f365]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElementOf0(X0,X2)
      | ~ aSet0(X2)
      | ~ aSubsetOf0(X1,X2)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f364]) ).

tcf(c_177,plain,
    ! [X0: $i] :
      ( aElementOf0(szmzizndt0(X0),X0)
      | ( X0 = slcrc0 )
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f494]) ).

tcf(c_209,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(cnf_transformation,[],[f503]) ).

tcf(c_212,plain,
    aSet0(slcrc0),
    inference(cnf_transformation,[],[f504]) ).

tcf(c_372,plain,
    ~ isCountable0(slcrc0),
    inference(global_subsumption_just,[status(thm)],[c_209,c_212,c_209]) ).

tcf(c_24122,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(superposition,[status(thm)],[c_52,c_123]) ).

tcf(c_24128,plain,
    aSet0(xS),
    inference(forward_subsumption_resolution,[status(thm)],[c_24122,c_116]) ).

tcf(c_25113,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_25207,plain,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = sdtlpdtrp0(xe,xi),
    inference(superposition,[status(thm)],[c_105,c_90]) ).

tcf(c_25216,plain,
    szmzizndt0(sdtlpdtrp0(xN,xi)) = xx,
    inference(light_normalisation,[status(thm)],[c_25207,c_106]) ).

tcf(c_25721,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,xS)
      | ~ aSet0(xS)
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
    inference(superposition,[status(thm)],[c_107,c_124]) ).

tcf(c_25737,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,xS)
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_25721,c_24128]) ).

tcf(c_26127,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
    | ( sdtlpdtrp0(xN,xi) = slcrc0 )
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    inference(superposition,[status(thm)],[c_177,c_25737]) ).

tcf(c_26132,plain,
    ( aElementOf0(xx,xS)
    | ( sdtlpdtrp0(xN,xi) = slcrc0 )
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    inference(light_normalisation,[status(thm)],[c_26127,c_25216]) ).

tcf(c_26133,plain,
    ( ( sdtlpdtrp0(xN,xi) = slcrc0 )
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26132,c_108]) ).

tcf(c_26386,plain,
    sdtlpdtrp0(xN,xi) = slcrc0,
    inference(global_subsumption_just,[status(thm)],[c_26133,c_105,c_25113,c_26133]) ).

tcf(c_26397,plain,
    ( isCountable0(slcrc0)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(superposition,[status(thm)],[c_26386,c_71]) ).

tcf(c_26398,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_26397,c_372,c_105]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM604+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n009.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 04:52:29 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 4.81/2.19  % SZS status Started for theBenchmark.p
% 4.81/2.19  % SZS status Theorem for theBenchmark.p
% 4.81/2.19  
% 4.81/2.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.81/2.19  
% 4.81/2.19  % ------  iProver source info
% 4.81/2.19  
% 4.81/2.19  % git: date: 2026-07-19 20:42:38 +0200
% 4.81/2.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.81/2.19  % git: non_committed_changes: false
% 4.81/2.19  
% 4.81/2.19  % ------ Parsing...
% 4.81/2.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.81/2.19  
% 4.81/2.19  % ------ Preprocessing... sup_sim: 2  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 % 
% 4.81/2.19  
% 4.81/2.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.81/2.19  
% 4.81/2.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.81/2.19  % ------ Proving...
% 4.81/2.19  % ------ Problem Properties 
% 4.81/2.19  
% 4.81/2.19  % 
% 4.81/2.19  % clauses                               189
% 4.81/2.19  % conjectures                           1
% 4.81/2.19  % EPR                                   46
% 4.81/2.19  % Horn                                  155
% 4.81/2.19  % unary                                 40
% 4.81/2.19  % binary                                32
% 4.81/2.19  % lits                                  611
% 4.81/2.19  % lits eq                               93
% 4.81/2.19  % fd_pure                               0
% 4.81/2.19  % fd_pseudo                             0
% 4.81/2.19  % fd_cond                               8
% 4.81/2.19  % fd_pseudo_cond                        23
% 4.81/2.19  % AC symbols                            0
% 4.81/2.19  
% 4.81/2.19  % ------ Schedule dynamic 5 is on 
% 4.81/2.19  
% 4.81/2.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.81/2.19  
% 4.81/2.19  
% 4.81/2.19  % ------ 
% 4.81/2.19  % Current options:
% 4.81/2.19  % ------ 
% 4.81/2.19  
% 4.81/2.19  
% 4.81/2.19  % 
% 4.81/2.19  
% 4.81/2.19  % ------ Proving...
% 4.81/2.19  % 
% 4.81/2.19  
% 4.81/2.19  % SZS status Theorem for theBenchmark.p
% 4.81/2.19  
% 4.81/2.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.81/2.19  
% 4.81/2.19  
%------------------------------------------------------------------------------