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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU141+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n026.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 02:55:33 PM UTC 2026

% Result   : Theorem 4.11s 1.28s
% Output   : CNFRefutation 4.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   68 (   2 unt;   0 def)
%            Number of atoms       :  266 (  52 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  327 ( 129   ~; 136   |;  53   &)
%                                         (   7 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  158 (   0 sgn 145   !;  13   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_intersection2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f6,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(f7,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
    <=> set_intersection2(X0,X1) = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
     => disjoint(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X2] : in(X2,set_intersection2(X0,X1)) )
      & ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
          & ~ disjoint(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).

fof(f23,conjecture,
    ! [X0,X1] :
      ( disjoint(X0,X1)
    <=> set_difference(X0,X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).

fof(f24,negated_conjecture,
    ~ ! [X0,X1] :
        ( disjoint(X0,X1)
      <=> set_difference(X0,X1) = X0 ),
    inference(negated_conjecture,[status(cth)],[f23]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X3] : in(X3,set_intersection2(X0,X1)) )
      & ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
          & ~ disjoint(X0,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f28,plain,
    ? [X0,X1] :
      ( disjoint(X0,X1)
    <~> set_difference(X0,X1) = X0 ),
    inference(ennf_transformation,[],[f24]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ~ disjoint(X0,X1)
        | ! [X3] : ~ in(X3,set_intersection2(X0,X1)) )
      & ( ? [X2] : in(X2,set_intersection2(X0,X1))
        | disjoint(X0,X1) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | disjoint(X1,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( ( disjoint(X0,X1)
        | set_difference(X0,X1) = X0 )
      & ( ~ disjoint(X0,X1)
        | set_difference(X0,X1) != X0 ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f36,plain,
    ( ( disjoint(sK0,sK1)
      | sK0 = set_difference(sK0,sK1) )
    & ( ~ disjoint(sK0,sK1)
      | sK0 != set_difference(sK0,sK1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f35]) ).

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(nnf_transformation,[],[f6]) ).

fof(f38,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,[],[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) ) ) )
      & ( ? [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,[],[f38]) ).

fof(f40,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(sK2(X0,X1,X2),X2)
            | ( ~ in(sK2(X0,X1,X2),X1)
              & in(sK2(X0,X1,X2),X0) ) )
          & ( ~ in(sK2(X0,X1,X2),X2)
            | in(sK2(X0,X1,X2),X1)
            | ~ in(sK2(X0,X1,X2),X0) ) )
        | X2 = set_difference(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f39]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( ~ disjoint(X0,X1)
        | ! [X3] : ~ in(X3,set_intersection2(X0,X1)) )
      & ( in(sK3(X0,X1),set_intersection2(X0,X1))
        | disjoint(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f29]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( ~ disjoint(X0,X1)
        | set_intersection2(X0,X1) = empty_set )
      & ( set_intersection2(X0,X1) != empty_set
        | disjoint(X0,X1) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(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_intersection2(X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(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_intersection2(X0,X1) ) ),
    inference(flattening,[],[f43]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(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_intersection2(X0,X1) ) ),
    inference(rectify,[],[f44]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | ( in(X4,X1)
                & in(X4,X0) ) )
            & ( ~ in(X4,X1)
              | ~ in(X4,X0)
              | in(X4,X2) ) ) )
      & ( ( ( in(sK4(X0,X1,X2),X2)
            | ( in(sK4(X0,X1,X2),X1)
              & in(sK4(X0,X1,X2),X0) ) )
          & ( ~ in(sK4(X0,X1,X2),X2)
            | ~ in(sK4(X0,X1,X2),X1)
            | ~ in(sK4(X0,X1,X2),X0) ) )
        | X2 = set_intersection2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f45]) ).

fof(f49,plain,
    ( disjoint(sK0,sK1)
    | sK0 = set_difference(sK0,sK1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f50,plain,
    ( ~ disjoint(sK0,sK1)
    | sK0 != set_difference(sK0,sK1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f53,plain,
    ! [X2,X0,X1,X4] :
      ( set_difference(X0,X1) != X2
      | ~ in(X4,X2)
      | ~ in(X4,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( in(sK2(X0,X1,X2),X2)
      | in(sK2(X0,X1,X2),X0)
      | set_difference(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ in(sK2(X0,X1,X2),X2)
      | in(sK2(X0,X1,X2),X1)
      | ~ in(sK2(X0,X1,X2),X0)
      | set_difference(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f59,plain,
    ! [X3,X0,X1] :
      ( ~ disjoint(X0,X1)
      | ~ in(X3,set_intersection2(X0,X1)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( in(sK3(X0,X1),set_intersection2(X0,X1))
      | disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | disjoint(X1,X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | set_intersection2(X0,X1) = empty_set ),
    inference(cnf_transformation,[],[f42]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( set_intersection2(X0,X1) != empty_set
      | disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f68,plain,
    ! [X2,X0,X1,X4] :
      ( set_intersection2(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f69,plain,
    ! [X2,X0,X1,X4] :
      ( set_intersection2(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f70,plain,
    ! [X2,X0,X1,X4] :
      ( set_intersection2(X0,X1) != X2
      | ~ in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f82,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f53]) ).

fof(f83,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,set_intersection2(X0,X1)) ),
    inference(equality_resolution,[],[f70]) ).

fof(f84,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f69]) ).

fof(f85,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f68]) ).

tcf(c_49,negated_conjecture,
    ( ~ disjoint(sK0,sK1)
    | ( set_difference(sK0,sK1) != sK0 ) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_50,negated_conjecture,
    ( disjoint(sK0,sK1)
    | ( set_difference(sK0,sK1) = sK0 ) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK2(X0,X1,X2),X1)
      | ( set_difference(X0,X1) = X2 )
      | ~ in(sK2(X0,X1,X2),X2)
      | ~ in(sK2(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK2(X0,X1,X2),X2)
      | in(sK2(X0,X1,X2),X0)
      | ( set_difference(X0,X1) = X2 ) ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ in(X0,X2)
      | ~ in(X0,set_difference(X1,X2)) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(X0,X1)
      | in(sK3(X0,X1),set_intersection2(X0,X1)) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ disjoint(X1,X2)
      | ~ in(X0,set_intersection2(X1,X2)) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(X1,X0)
      | ~ disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(X0,X1)
      | ( set_intersection2(X0,X1) != empty_set ) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2(X0,X1) = empty_set )
      | ~ disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,set_intersection2(X1,X2))
      | ~ in(X0,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X1)
      | ~ in(X0,set_intersection2(X1,X2)) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X2)
      | ~ in(X0,set_intersection2(X1,X2)) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_1111,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(X0,X1)
      | in(sK3(X0,X1),X1) ),
    inference(superposition,[status(thm)],[c_59,c_73]) ).

tcf(c_1112,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(X0,X1)
      | in(sK3(X0,X1),X0) ),
    inference(superposition,[status(thm)],[c_59,c_72]) ).

tcf(c_1161,plain,
    ( ( set_intersection2(sK0,sK1) = empty_set )
    | ( set_difference(sK0,sK1) = sK0 ) ),
    inference(superposition,[status(thm)],[c_50,c_63]) ).

tcf(c_1259,plain,
    ! [X0: $i] :
      ( ( set_intersection2(sK0,sK1) = empty_set )
      | ~ in(X0,sK1)
      | ~ in(X0,sK0) ),
    inference(superposition,[status(thm)],[c_1161,c_58]) ).

tcf(c_1274,plain,
    ! [X0: $i] :
      ( disjoint(X0,sK1)
      | ( set_intersection2(sK0,sK1) = empty_set )
      | ~ in(sK3(X0,sK1),sK0) ),
    inference(superposition,[status(thm)],[c_1111,c_1259]) ).

tcf(c_1317,plain,
    ( disjoint(sK0,sK1)
    | ( set_intersection2(sK0,sK1) = empty_set ) ),
    inference(superposition,[status(thm)],[c_1112,c_1274]) ).

tcf(c_1340,plain,
    ( disjoint(sK0,sK1)
    | ( set_intersection2(sK0,sK1) != empty_set ) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_1348,plain,
    ( disjoint(sK1,sK0)
    | ~ disjoint(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_1603,plain,
    ( in(sK2(sK0,sK1,sK0),sK1)
    | ( set_difference(sK0,sK1) = sK0 )
    | ~ in(sK2(sK0,sK1,sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_1605,plain,
    ( in(sK2(sK0,sK1,sK0),sK0)
    | ( set_difference(sK0,sK1) = sK0 ) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_1614,plain,
    ! [X0: $i] :
      ( in(sK2(sK0,sK1,sK0),set_intersection2(sK1,X0))
      | ~ in(sK2(sK0,sK1,sK0),sK1)
      | ~ in(sK2(sK0,sK1,sK0),X0) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_1671,negated_conjecture,
    disjoint(sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_50,c_1317,c_1340]) ).

tcf(c_1964,plain,
    ( in(sK2(sK0,sK1,sK0),set_intersection2(sK1,sK0))
    | ~ in(sK2(sK0,sK1,sK0),sK1)
    | ~ in(sK2(sK0,sK1,sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_1614]) ).

tcf(c_2904,plain,
    ( ~ disjoint(sK1,sK0)
    | ~ in(sK2(sK0,sK1,sK0),set_intersection2(sK1,sK0)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2905,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2904,c_1964,c_1671,c_1603,c_1605,c_1348,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU141+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n026.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 12:58:10 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40  Running first-order theorem proving
% 0.02/0.40  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
% 0.02/0.41  
% 0.02/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41  
% 0.02/0.41  % Detected problem language: tptp
% 0.02/0.42  % Proving...
% 4.11/1.28  % SZS status Started for theBenchmark.p
% 4.11/1.28  % SZS status Theorem for theBenchmark.p
% 4.11/1.28  
% 4.11/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.28  
% 4.11/1.28  % ------  iProver source info
% 4.11/1.28  
% 4.11/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.28  % git: non_committed_changes: false
% 4.11/1.28  
% 4.11/1.28  % ------ Parsing...
% 4.11/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.11/1.28  
% 4.11/1.28  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.11/1.28  
% 4.11/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.11/1.28  
% 4.11/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.11/1.28  % ------ Proving...
% 4.11/1.28  % ------ Problem Properties 
% 4.11/1.28  
% 4.11/1.28  % 
% 4.11/1.28  % clauses                               31
% 4.11/1.28  % conjectures                           2
% 4.11/1.28  % EPR                                   8
% 4.11/1.28  % Horn                                  23
% 4.11/1.28  % unary                                 8
% 4.11/1.28  % binary                                14
% 4.11/1.28  % lits                                  65
% 4.11/1.28  % lits eq                               17
% 4.11/1.28  % fd_pure                               0
% 4.11/1.28  % fd_pseudo                             0
% 4.11/1.28  % fd_cond                               1
% 4.11/1.28  % fd_pseudo_cond                        7
% 4.11/1.28  % AC symbols                            0
% 4.11/1.28  
% 4.11/1.28  % ------ Schedule dynamic 5 is on 
% 4.11/1.28  
% 4.11/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.28  
% 4.11/1.28  
% 4.11/1.28  % ------ 
% 4.11/1.28  % Current options:
% 4.11/1.28  % ------ 
% 4.11/1.28  
% 4.11/1.28  
% 4.11/1.28  % 
% 4.11/1.28  
% 4.11/1.28  % ------ Proving...
% 4.11/1.28  % 
% 4.11/1.28  
% 4.11/1.28  % SZS status Theorem for theBenchmark.p
% 4.11/1.28  
% 4.11/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.28  
% 4.11/1.28  
%------------------------------------------------------------------------------