↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET986+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.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 02:49:16 PM UTC 2026

% Result   : Theorem 7.16s 6.74s
% Output   : CNFRefutation 7.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   62 (  12 unt;   0 def)
%            Number of atoms       :  266 (  78 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  329 ( 125   ~; 144   |;  52   &)
%                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :  135 (   0 sgn 125   !;  10   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( X1 = singleton(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X2 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_union2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_difference(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f14,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_zfmisc_1) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f23,plain,
    ? [X0,X1] :
      ( in(X0,X1)
      & set_union2(set_difference(X1,singleton(X0)),singleton(X0)) != X1 ),
    inference(ennf_transformation,[],[f15]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( singleton(X0) != X1
        | ! [X2] :
            ( ( ~ in(X2,X1)
              | X2 = X0 )
            & ( X0 != X2
              | in(X2,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | X2 = X0 )
            & ( ~ in(X2,X1)
              | X0 != X2 ) )
        | X1 = singleton(X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( singleton(X0) != X1
        | ! [X3] :
            ( ( ~ in(X3,X1)
              | X0 = X3 )
            & ( X0 != X3
              | in(X3,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | X2 = X0 )
            & ( ~ in(X2,X1)
              | X0 != X2 ) )
        | X1 = singleton(X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( singleton(X0) != X1
        | ! [X3] :
            ( ( ~ in(X3,X1)
              | X0 = X3 )
            & ( X0 != X3
              | in(X3,X1) ) ) )
      & ( ( ( in(sK0(X0,X1),X1)
            | sK0(X0,X1) = X0 )
          & ( ~ in(sK0(X0,X1),X1)
            | sK0(X0,X1) != X0 ) )
        | X1 = singleton(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | in(X4,X1)
              | in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & ~ in(X4,X0) )
              | in(X4,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | in(X4,X1)
              | in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & ~ in(X4,X0) )
              | in(X4,X2) ) ) )
      & ( ( ( in(sK1(X0,X1,X2),X2)
            | in(sK1(X0,X1,X2),X1)
            | in(sK1(X0,X1,X2),X0) )
          & ( ~ in(sK1(X0,X1,X2),X2)
            | ( ~ in(sK1(X0,X1,X2),X1)
              & ~ in(sK1(X0,X1,X2),X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f31]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) )
            & ( in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) ) )
        | X2 = set_difference(X0,X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) )
            & ( in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) ) )
        | X2 = set_difference(X0,X1) ) ),
    inference(flattening,[],[f36]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | ( ~ in(X4,X1)
                & in(X4,X0) ) )
            & ( in(X4,X1)
              | ~ in(X4,X0)
              | in(X4,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) ) )
        | X2 = set_difference(X0,X1) ) ),
    inference(rectify,[],[f37]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | ( ~ in(X4,X1)
                & in(X4,X0) ) )
            & ( in(X4,X1)
              | ~ in(X4,X0)
              | in(X4,X2) ) ) )
      & ( ( ( in(sK3(X0,X1,X2),X2)
            | ( ~ in(sK3(X0,X1,X2),X1)
              & in(sK3(X0,X1,X2),X0) ) )
          & ( ~ in(sK3(X0,X1,X2),X2)
            | in(sK3(X0,X1,X2),X1)
            | ~ in(sK3(X0,X1,X2),X0) ) )
        | X2 = set_difference(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f38]) ).

fof(f42,plain,
    ( in(sK6,sK7)
    & sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f23]) ).

fof(f46,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f50,plain,
    ! [X3,X0,X1] :
      ( singleton(X0) != X1
      | ~ in(X3,X1)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f28]) ).

fof(f51,plain,
    ! [X3,X0,X1] :
      ( singleton(X0) != X1
      | X0 != X3
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( in(sK1(X0,X1,X2),X2)
      | in(sK1(X0,X1,X2),X1)
      | in(sK1(X0,X1,X2),X0)
      | set_union2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK1(X0,X1,X2),X2)
      | ~ in(sK1(X0,X1,X2),X1)
      | set_union2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK1(X0,X1,X2),X2)
      | ~ in(sK1(X0,X1,X2),X0)
      | set_union2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f64,plain,
    ! [X2,X0,X1,X4] :
      ( set_difference(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f65,plain,
    ! [X2,X0,X1,X4] :
      ( set_difference(X0,X1) != X2
      | in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f75,plain,
    in(sK6,sK7),
    inference(cnf_transformation,[],[f42]) ).

fof(f76,plain,
    sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6)),
    inference(cnf_transformation,[],[f42]) ).

fof(f82,plain,
    ! [X3,X1] :
      ( singleton(X3) != X1
      | in(X3,X1) ),
    inference(equality_resolution,[],[f51]) ).

fof(f83,plain,
    ! [X3] : in(X3,singleton(X3)),
    inference(equality_resolution,[],[f82]) ).

fof(f84,plain,
    ! [X3,X0] :
      ( ~ in(X3,singleton(X0))
      | X0 = X3 ),
    inference(equality_resolution,[],[f50]) ).

fof(f88,plain,
    ! [X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,set_difference(X0,X1)) ),
    inference(equality_resolution,[],[f65]) ).

fof(f89,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f64]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_56,plain,
    ! [X0: $i] : in(X0,singleton(X0)),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ in(X0,singleton(X1)) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( set_union2(X0,X1) = X2 )
      | ~ in(sK1(X0,X1,X2),X2)
      | ~ in(sK1(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( set_union2(X0,X1) = X2 )
      | ~ in(sK1(X0,X1,X2),X2)
      | ~ in(sK1(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK1(X0,X1,X2),X2)
      | in(sK1(X0,X1,X2),X1)
      | in(sK1(X0,X1,X2),X0)
      | ( set_union2(X0,X1) = X2 ) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X2)
      | in(X0,set_difference(X1,X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X1)
      | ~ in(X0,set_difference(X1,X2)) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_79,negated_conjecture,
    set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6)) != sK7,
    inference(cnf_transformation,[],[f76]) ).

tcf(c_80,negated_conjecture,
    in(sK6,sK7),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_238,plain,
    set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) != sK7,
    inference(demodulation,[status(thm)],[c_79,c_50]) ).

tcf(c_398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(X0,X2)
      | ~ in(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_771,plain,
    ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
    | ( set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) = sK7 ) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_772,plain,
    ( ( set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) = sK7 )
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_773,plain,
    ( ( set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) = sK7 )
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6))) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_779,plain,
    ! [X0: $i] :
      ( ( sK7 = X0 )
      | ~ in(sK7,singleton(X0)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_802,plain,
    ! [X0: $i] :
      ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
      | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,X0)) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_805,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
      | ~ in(X0,X1)
      | ( sK7 != X1 )
      | ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) != X0 ) ),
    inference(instantiation,[status(thm)],[c_398]) ).

tcf(c_860,plain,
    ( ( sK7 = sK7 )
    | ~ in(sK7,singleton(sK7)) ),
    inference(instantiation,[status(thm)],[c_779]) ).

tcf(c_900,plain,
    ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6))) ),
    inference(instantiation,[status(thm)],[c_802]) ).

tcf(c_908,plain,
    ! [X0: $i] :
      ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),X0)
      | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,X0))
      | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_70]) ).

tcf(c_978,plain,
    ! [X0: $i] :
      ( ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) = X0 )
      | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(X0)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_979,plain,
    ( ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) = sK6 )
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6)) ),
    inference(instantiation,[status(thm)],[c_978]) ).

tcf(c_1105,plain,
    in(sK7,singleton(sK7)),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_1675,plain,
    ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_908]) ).

tcf(c_2205,plain,
    ! [X0: $i] :
      ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
      | ~ in(X0,sK7)
      | ( sK7 != sK7 )
      | ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) != X0 ) ),
    inference(instantiation,[status(thm)],[c_805]) ).

tcf(c_2206,plain,
    ( in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | ~ in(sK6,sK7)
    | ( sK7 != sK7 )
    | ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) != sK6 ) ),
    inference(instantiation,[status(thm)],[c_2205]) ).

tcf(c_2557,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2206,c_1675,c_1105,c_979,c_900,c_860,c_771,c_772,c_773,c_238,c_80]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET986+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.36  % Computer : n006.cluster.edu
% 0.10/5.36  % Model    : x86_64 x86_64
% 0.10/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36  % Memory   : 8046.5625MB
% 0.10/5.36  % OS       : Linux 6.8.0-71-generic
% 0.10/5.36  % CPULimit : 300
% 0.10/5.36  % WCLimit  : 300
% 0.10/5.36  % DateTime : Thu Sep 24 12:31:08 UTC 2026
% 0.10/5.36  % CPUTime  : 
% 0.10/5.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.40  Running first-order theorem proving
% 0.15/5.40  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
% 0.15/5.41  
% 0.15/5.41  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.41  
% 0.15/5.42  % Detected problem language: tptp
% 0.15/5.43  % Proving...
% 7.16/6.74  % SZS status Started for theBenchmark.p
% 7.16/6.74  % SZS status Theorem for theBenchmark.p
% 7.16/6.74  
% 7.16/6.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.16/6.74  
% 7.16/6.74  % ------  iProver source info
% 7.16/6.74  
% 7.16/6.74  % git: date: 2026-07-19 20:42:38 +0200
% 7.16/6.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.16/6.74  % git: non_committed_changes: false
% 7.16/6.74  
% 7.16/6.74  % ------ Parsing...
% 7.16/6.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.16/6.74  
% 7.16/6.74  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 7.16/6.74  
% 7.16/6.74  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.16/6.74  
% 7.16/6.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.16/6.74  % ------ Proving...
% 7.16/6.74  % ------ Problem Properties 
% 7.16/6.74  
% 7.16/6.74  % 
% 7.16/6.74  % clauses                               32
% 7.16/6.74  % conjectures                           1
% 7.16/6.74  % EPR                                   7
% 7.16/6.74  % Horn                                  23
% 7.16/6.74  % unary                                 9
% 7.16/6.74  % binary                                10
% 7.16/6.74  % lits                                  70
% 7.16/6.74  % lits eq                               16
% 7.16/6.74  % fd_pure                               0
% 7.16/6.74  % fd_pseudo                             0
% 7.16/6.74  % fd_cond                               0
% 7.16/6.74  % fd_pseudo_cond                        10
% 7.16/6.74  % AC symbols                            0
% 7.16/6.74  
% 7.16/6.74  % ------ Input Options Time Limit: Unbounded
% 7.16/6.74  
% 7.16/6.74  
% 7.16/6.74  % ------ 
% 7.16/6.74  % Current options:
% 7.16/6.74  % ------ 
% 7.16/6.74  
% 7.16/6.74  
% 7.16/6.74  % 
% 7.16/6.74  
% 7.16/6.74  % ------ Proving...
% 7.16/6.74  % 
% 7.16/6.74  
% 7.16/6.74  % SZS status Theorem for theBenchmark.p
% 7.16/6.74  
% 7.16/6.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.16/6.74  
% 7.16/6.74  
%------------------------------------------------------------------------------