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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU243+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/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 02:56:20 PM UTC 2026

% Result   : Theorem 89.13s 13.44s
% Output   : CNFRefutation 89.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   59 (   3 unt;   0 def)
%            Number of atoms       :  275 (  40 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  363 ( 147   ~; 166   |;  39   &)
%                                         (   6 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    5 (   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    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   98 (   0 sgn  85   !;  13   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_founded_relation(X0)
      <=> ! [X1] :
            ~ ( ! [X2] :
                  ~ ( disjoint(fiber(X0,X2),X1)
                    & in(X2,X1) )
              & X1 != empty_set
              & subset(X1,relation_field(X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_wellord1) ).

fof(f42,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( is_well_founded_in(X0,X1)
        <=> ! [X2] :
              ~ ( ! [X3] :
                    ~ ( disjoint(fiber(X0,X3),X2)
                      & in(X3,X2) )
                & X2 != empty_set
                & subset(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_wellord1) ).

fof(f264,conjecture,
    ! [X0] :
      ( relation(X0)
     => ( well_founded_relation(X0)
      <=> is_well_founded_in(X0,relation_field(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).

fof(f265,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ( well_founded_relation(X0)
        <=> is_well_founded_in(X0,relation_field(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f264]) ).

fof(f341,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( well_founded_relation(X0)
      <=> ! [X1] :
            ( ? [X2] :
                ( disjoint(fiber(X0,X2),X1)
                & in(X2,X1) )
            | empty_set = X1
            | ~ subset(X1,relation_field(X0)) ) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f345,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( is_well_founded_in(X0,X1)
        <=> ! [X2] :
              ( ? [X3] :
                  ( disjoint(fiber(X0,X3),X2)
                  & in(X3,X2) )
              | empty_set = X2
              | ~ subset(X2,X1) ) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f548,plain,
    ? [X0] :
      ( relation(X0)
      & ( well_founded_relation(X0)
      <~> is_well_founded_in(X0,relation_field(X0)) ) ),
    inference(ennf_transformation,[],[f265]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( ( ~ well_founded_relation(X0)
          | ! [X1] :
              ( ? [X2] :
                  ( disjoint(fiber(X0,X2),X1)
                  & in(X2,X1) )
              | empty_set = X1
              | ~ subset(X1,relation_field(X0)) ) )
        & ( ? [X1] :
              ( ! [X2] :
                  ( ~ disjoint(fiber(X0,X2),X1)
                  | ~ in(X2,X1) )
              & empty_set != X1
              & subset(X1,relation_field(X0)) )
          | well_founded_relation(X0) ) ) ),
    inference(nnf_transformation,[],[f341]) ).

fof(f649,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( ( ~ well_founded_relation(X0)
          | ! [X3] :
              ( ? [X4] :
                  ( disjoint(fiber(X0,X4),X3)
                  & in(X4,X3) )
              | empty_set = X3
              | ~ subset(X3,relation_field(X0)) ) )
        & ( ? [X1] :
              ( ! [X2] :
                  ( ~ disjoint(fiber(X0,X2),X1)
                  | ~ in(X2,X1) )
              & empty_set != X1
              & subset(X1,relation_field(X0)) )
          | well_founded_relation(X0) ) ) ),
    inference(rectify,[],[f648]) ).

fof(f650,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ( ( ~ well_founded_relation(X0)
          | ! [X3] :
              ( ( disjoint(fiber(X0,sK33(X0,X3)),X3)
                & in(sK33(X0,X3),X3) )
              | empty_set = X3
              | ~ subset(X3,relation_field(X0)) ) )
        & ( ( ! [X2] :
                ( ~ disjoint(fiber(X0,X2),sK32(X0))
                | ~ in(X2,sK32(X0)) )
            & empty_set != sK32(X0)
            & subset(sK32(X0),relation_field(X0)) )
          | well_founded_relation(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X1,sK32(X0)),skolemize(X4,sK33(X0,X3))],[f649]) ).

fof(f667,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ~ is_well_founded_in(X0,X1)
            | ! [X2] :
                ( ? [X3] :
                    ( disjoint(fiber(X0,X3),X2)
                    & in(X3,X2) )
                | empty_set = X2
                | ~ subset(X2,X1) ) )
          & ( ? [X2] :
                ( ! [X3] :
                    ( ~ disjoint(fiber(X0,X3),X2)
                    | ~ in(X3,X2) )
                & empty_set != X2
                & subset(X2,X1) )
            | is_well_founded_in(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f668,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ~ is_well_founded_in(X0,X1)
            | ! [X4] :
                ( ? [X5] :
                    ( disjoint(fiber(X0,X5),X4)
                    & in(X5,X4) )
                | empty_set = X4
                | ~ subset(X4,X1) ) )
          & ( ? [X2] :
                ( ! [X3] :
                    ( ~ disjoint(fiber(X0,X3),X2)
                    | ~ in(X3,X2) )
                & empty_set != X2
                & subset(X2,X1) )
            | is_well_founded_in(X0,X1) ) ) ),
    inference(rectify,[],[f667]) ).

fof(f669,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( ~ is_well_founded_in(X0,X1)
            | ! [X4] :
                ( ( disjoint(fiber(X0,sK46(X0,X4)),X4)
                  & in(sK46(X0,X4),X4) )
                | empty_set = X4
                | ~ subset(X4,X1) ) )
          & ( ( ! [X3] :
                  ( ~ disjoint(fiber(X0,X3),sK45(X0,X1))
                  | ~ in(X3,sK45(X0,X1)) )
              & empty_set != sK45(X0,X1)
              & subset(sK45(X0,X1),X1) )
            | is_well_founded_in(X0,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X2,sK45(X0,X1)),skolemize(X5,sK46(X0,X4))],[f668]) ).

fof(f799,plain,
    ? [X0] :
      ( relation(X0)
      & ( well_founded_relation(X0)
        | is_well_founded_in(X0,relation_field(X0)) )
      & ( ~ well_founded_relation(X0)
        | ~ is_well_founded_in(X0,relation_field(X0)) ) ),
    inference(nnf_transformation,[],[f548]) ).

fof(f800,plain,
    ? [X0] :
      ( relation(X0)
      & ( well_founded_relation(X0)
        | is_well_founded_in(X0,relation_field(X0)) )
      & ( ~ well_founded_relation(X0)
        | ~ is_well_founded_in(X0,relation_field(X0)) ) ),
    inference(flattening,[],[f799]) ).

fof(f801,plain,
    ( relation(sK116)
    & ( well_founded_relation(sK116)
      | is_well_founded_in(sK116,relation_field(sK116)) )
    & ( ~ well_founded_relation(sK116)
      | ~ is_well_founded_in(sK116,relation_field(sK116)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(X0,sK116)],[f800]) ).

fof(f937,plain,
    ! [X3,X0] :
      ( ~ relation(X0)
      | ~ well_founded_relation(X0)
      | disjoint(fiber(X0,sK33(X0,X3)),X3)
      | empty_set = X3
      | ~ subset(X3,relation_field(X0)) ),
    inference(cnf_transformation,[],[f650]) ).

fof(f938,plain,
    ! [X3,X0] :
      ( ~ relation(X0)
      | ~ well_founded_relation(X0)
      | in(sK33(X0,X3),X3)
      | empty_set = X3
      | ~ subset(X3,relation_field(X0)) ),
    inference(cnf_transformation,[],[f650]) ).

fof(f939,plain,
    ! [X2,X0] :
      ( ~ relation(X0)
      | ~ disjoint(fiber(X0,X2),sK32(X0))
      | ~ in(X2,sK32(X0))
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f650]) ).

fof(f940,plain,
    ! [X0] :
      ( ~ relation(X0)
      | empty_set != sK32(X0)
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f650]) ).

fof(f941,plain,
    ! [X0] :
      ( ~ relation(X0)
      | subset(sK32(X0),relation_field(X0))
      | well_founded_relation(X0) ),
    inference(cnf_transformation,[],[f650]) ).

fof(f968,plain,
    ! [X0,X1,X4] :
      ( ~ relation(X0)
      | ~ is_well_founded_in(X0,X1)
      | disjoint(fiber(X0,sK46(X0,X4)),X4)
      | empty_set = X4
      | ~ subset(X4,X1) ),
    inference(cnf_transformation,[],[f669]) ).

fof(f969,plain,
    ! [X0,X1,X4] :
      ( ~ relation(X0)
      | ~ is_well_founded_in(X0,X1)
      | in(sK46(X0,X4),X4)
      | empty_set = X4
      | ~ subset(X4,X1) ),
    inference(cnf_transformation,[],[f669]) ).

fof(f970,plain,
    ! [X3,X0,X1] :
      ( ~ relation(X0)
      | ~ disjoint(fiber(X0,X3),sK45(X0,X1))
      | ~ in(X3,sK45(X0,X1))
      | is_well_founded_in(X0,X1) ),
    inference(cnf_transformation,[],[f669]) ).

fof(f971,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | empty_set != sK45(X0,X1)
      | is_well_founded_in(X0,X1) ),
    inference(cnf_transformation,[],[f669]) ).

fof(f972,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(sK45(X0,X1),X1)
      | is_well_founded_in(X0,X1) ),
    inference(cnf_transformation,[],[f669]) ).

fof(f1368,plain,
    relation(sK116),
    inference(cnf_transformation,[],[f801]) ).

fof(f1369,plain,
    ( well_founded_relation(sK116)
    | is_well_founded_in(sK116,relation_field(sK116)) ),
    inference(cnf_transformation,[],[f801]) ).

fof(f1370,plain,
    ( ~ well_founded_relation(sK116)
    | ~ is_well_founded_in(sK116,relation_field(sK116)) ),
    inference(cnf_transformation,[],[f801]) ).

tcf(c_166,plain,
    ! [X0: $i] :
      ( well_founded_relation(X0)
      | subset(sK32(X0),relation_field(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f941]) ).

tcf(c_167,plain,
    ! [X0: $i] :
      ( well_founded_relation(X0)
      | ~ relation(X0)
      | ( sK32(X0) != empty_set ) ),
    inference(cnf_transformation,[],[f940]) ).

tcf(c_168,plain,
    ! [X0: $i,X1: $i] :
      ( well_founded_relation(X0)
      | ~ relation(X0)
      | ~ in(X1,sK32(X0))
      | ~ disjoint(fiber(X0,X1),sK32(X0)) ),
    inference(cnf_transformation,[],[f939]) ).

tcf(c_169,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK33(X1,X0),X0)
      | ( X0 = empty_set )
      | ~ well_founded_relation(X1)
      | ~ relation(X1)
      | ~ subset(X0,relation_field(X1)) ),
    inference(cnf_transformation,[],[f938]) ).

tcf(c_170,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(fiber(X1,sK33(X1,X0)),X0)
      | ( X0 = empty_set )
      | ~ well_founded_relation(X1)
      | ~ relation(X1)
      | ~ subset(X0,relation_field(X1)) ),
    inference(cnf_transformation,[],[f937]) ).

tcf(c_197,plain,
    ! [X0: $i,X1: $i] :
      ( is_well_founded_in(X0,X1)
      | subset(sK45(X0,X1),X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f972]) ).

tcf(c_198,plain,
    ! [X0: $i,X1: $i] :
      ( is_well_founded_in(X0,X1)
      | ~ relation(X0)
      | ( sK45(X0,X1) != empty_set ) ),
    inference(cnf_transformation,[],[f971]) ).

tcf(c_199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( is_well_founded_in(X0,X2)
      | ~ relation(X0)
      | ~ in(X1,sK45(X0,X2))
      | ~ disjoint(fiber(X0,X1),sK45(X0,X2)) ),
    inference(cnf_transformation,[],[f970]) ).

tcf(c_200,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK46(X2,X0),X0)
      | ( X0 = empty_set )
      | ~ relation(X2)
      | ~ is_well_founded_in(X2,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f969]) ).

tcf(c_201,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( disjoint(fiber(X2,sK46(X2,X0)),X0)
      | ( X0 = empty_set )
      | ~ relation(X2)
      | ~ is_well_founded_in(X2,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f968]) ).

tcf(c_595,negated_conjecture,
    ( ~ well_founded_relation(sK116)
    | ~ is_well_founded_in(sK116,relation_field(sK116)) ),
    inference(cnf_transformation,[],[f1370]) ).

tcf(c_596,negated_conjecture,
    ( well_founded_relation(sK116)
    | is_well_founded_in(sK116,relation_field(sK116)) ),
    inference(cnf_transformation,[],[f1369]) ).

tcf(c_597,negated_conjecture,
    relation(sK116),
    inference(cnf_transformation,[],[f1368]) ).

tcf(c_11372,plain,
    ( well_founded_relation(sK116)
    | ~ relation(sK116)
    | ( sK32(sK116) != empty_set ) ),
    inference(instantiation,[status(thm)],[c_167]) ).

tcf(c_11373,plain,
    ( well_founded_relation(sK116)
    | subset(sK32(sK116),relation_field(sK116))
    | ~ relation(sK116) ),
    inference(instantiation,[status(thm)],[c_166]) ).

tcf(c_12761,plain,
    ( is_well_founded_in(sK116,relation_field(sK116))
    | ~ relation(sK116)
    | ( sK45(sK116,relation_field(sK116)) != empty_set ) ),
    inference(instantiation,[status(thm)],[c_198]) ).

tcf(c_12762,plain,
    ( is_well_founded_in(sK116,relation_field(sK116))
    | subset(sK45(sK116,relation_field(sK116)),relation_field(sK116))
    | ~ relation(sK116) ),
    inference(instantiation,[status(thm)],[c_197]) ).

tcf(c_12938,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK46(X1,sK32(sK116)),sK32(sK116))
      | ( sK32(sK116) = empty_set )
      | ~ relation(X1)
      | ~ is_well_founded_in(X1,X0)
      | ~ subset(sK32(sK116),X0) ),
    inference(instantiation,[status(thm)],[c_200]) ).

tcf(c_12947,plain,
    ! [X0: $i,X1: $i] :
      ( disjoint(fiber(X1,sK46(X1,sK32(sK116))),sK32(sK116))
      | ( sK32(sK116) = empty_set )
      | ~ relation(X1)
      | ~ is_well_founded_in(X1,X0)
      | ~ subset(sK32(sK116),X0) ),
    inference(instantiation,[status(thm)],[c_201]) ).

tcf(c_15028,plain,
    ! [X0: $i] :
      ( in(sK33(X0,sK45(sK116,relation_field(sK116))),sK45(sK116,relation_field(sK116)))
      | ( sK45(sK116,relation_field(sK116)) = empty_set )
      | ~ well_founded_relation(X0)
      | ~ relation(X0)
      | ~ subset(sK45(sK116,relation_field(sK116)),relation_field(X0)) ),
    inference(instantiation,[status(thm)],[c_169]) ).

tcf(c_15035,plain,
    ! [X0: $i] :
      ( disjoint(fiber(X0,sK33(X0,sK45(sK116,relation_field(sK116)))),sK45(sK116,relation_field(sK116)))
      | ( sK45(sK116,relation_field(sK116)) = empty_set )
      | ~ well_founded_relation(X0)
      | ~ relation(X0)
      | ~ subset(sK45(sK116,relation_field(sK116)),relation_field(X0)) ),
    inference(instantiation,[status(thm)],[c_170]) ).

tcf(c_16216,plain,
    ! [X0: $i] :
      ( in(sK46(X0,sK32(sK116)),sK32(sK116))
      | ( sK32(sK116) = empty_set )
      | ~ relation(X0)
      | ~ is_well_founded_in(X0,relation_field(sK116))
      | ~ subset(sK32(sK116),relation_field(sK116)) ),
    inference(instantiation,[status(thm)],[c_12938]) ).

tcf(c_21366,plain,
    ! [X0: $i] :
      ( disjoint(fiber(X0,sK46(X0,sK32(sK116))),sK32(sK116))
      | ( sK32(sK116) = empty_set )
      | ~ relation(X0)
      | ~ is_well_founded_in(X0,relation_field(sK116))
      | ~ subset(sK32(sK116),relation_field(sK116)) ),
    inference(instantiation,[status(thm)],[c_12947]) ).

tcf(c_24824,plain,
    ( in(sK33(sK116,sK45(sK116,relation_field(sK116))),sK45(sK116,relation_field(sK116)))
    | ( sK45(sK116,relation_field(sK116)) = empty_set )
    | ~ well_founded_relation(sK116)
    | ~ relation(sK116)
    | ~ subset(sK45(sK116,relation_field(sK116)),relation_field(sK116)) ),
    inference(instantiation,[status(thm)],[c_15028]) ).

tcf(c_25825,plain,
    ( disjoint(fiber(sK116,sK33(sK116,sK45(sK116,relation_field(sK116)))),sK45(sK116,relation_field(sK116)))
    | ( sK45(sK116,relation_field(sK116)) = empty_set )
    | ~ well_founded_relation(sK116)
    | ~ relation(sK116)
    | ~ subset(sK45(sK116,relation_field(sK116)),relation_field(sK116)) ),
    inference(instantiation,[status(thm)],[c_15035]) ).

tcf(c_27732,plain,
    ( in(sK46(sK116,sK32(sK116)),sK32(sK116))
    | ( sK32(sK116) = empty_set )
    | ~ relation(sK116)
    | ~ is_well_founded_in(sK116,relation_field(sK116))
    | ~ subset(sK32(sK116),relation_field(sK116)) ),
    inference(instantiation,[status(thm)],[c_16216]) ).

tcf(c_28847,plain,
    ( well_founded_relation(sK116)
    | ~ relation(sK116)
    | ~ in(sK46(sK116,sK32(sK116)),sK32(sK116))
    | ~ disjoint(fiber(sK116,sK46(sK116,sK32(sK116))),sK32(sK116)) ),
    inference(instantiation,[status(thm)],[c_168]) ).

tcf(c_28856,plain,
    ( disjoint(fiber(sK116,sK46(sK116,sK32(sK116))),sK32(sK116))
    | ( sK32(sK116) = empty_set )
    | ~ relation(sK116)
    | ~ is_well_founded_in(sK116,relation_field(sK116))
    | ~ subset(sK32(sK116),relation_field(sK116)) ),
    inference(instantiation,[status(thm)],[c_21366]) ).

tcf(c_35367,plain,
    ( is_well_founded_in(sK116,relation_field(sK116))
    | ~ relation(sK116)
    | ~ in(sK33(sK116,sK45(sK116,relation_field(sK116))),sK45(sK116,relation_field(sK116)))
    | ~ disjoint(fiber(sK116,sK33(sK116,sK45(sK116,relation_field(sK116)))),sK45(sK116,relation_field(sK116))) ),
    inference(instantiation,[status(thm)],[c_199]) ).

tcf(c_35368,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_35367,c_28856,c_28847,c_27732,c_25825,c_24824,c_12761,c_12762,c_11372,c_11373,c_595,c_596,c_597]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU243+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n026.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Thu Sep 24 13:25:10 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 0.09/0.43  
% 0.09/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43  
% 0.09/0.43  % Detected problem language: tptp
% 0.09/0.44  % Proving...
% 89.13/13.44  % SZS status Started for theBenchmark.p
% 89.13/13.44  % SZS status Theorem for theBenchmark.p
% 89.13/13.44  
% 89.13/13.44  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 89.13/13.44  
% 89.13/13.44  % ------  iProver source info
% 89.13/13.44  
% 89.13/13.44  % git: date: 2026-07-19 20:42:38 +0200
% 89.13/13.44  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 89.13/13.44  % git: non_committed_changes: false
% 89.13/13.44  
% 89.13/13.44  % ------ Parsing...
% 89.13/13.44  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 89.13/13.44  
% 89.13/13.44  % ------ Preprocessing...% 
% 89.13/13.44  
% 89.13/13.44  % ------ Preprocessing...% 
% 89.13/13.44  
% 89.13/13.44  % ------ Preprocessing...
% 89.13/13.44  % ------ Proving...
% 89.13/13.44  % ------ Problem Properties 
% 89.13/13.44  
% 89.13/13.44  % 
% 89.13/13.44  % clauses                               538
% 89.13/13.44  % conjectures                           3
% 89.13/13.44  % EPR                                   83
% 89.13/13.44  % Horn                                  414
% 89.13/13.44  % unary                                 85
% 89.13/13.44  % binary                                140
% 89.13/13.44  % lits                                  1554
% 89.13/13.44  % lits eq                               256
% 89.13/13.44  % fd_pure                               0
% 89.13/13.44  % fd_pseudo                             0
% 89.13/13.44  % fd_cond                               21
% 89.13/13.44  % fd_pseudo_cond                        96
% 89.13/13.44  % AC symbols                            0
% 89.13/13.44  
% 89.13/13.44  % ------ Input Options Time Limit: Unbounded
% 89.13/13.44  
% 89.13/13.44  
% 89.13/13.44  % ------ 
% 89.13/13.44  % Current options:
% 89.13/13.44  % ------ 
% 89.13/13.44  
% 89.13/13.44  
% 89.13/13.44  % 
% 89.13/13.44  
% 89.13/13.44  % ------ Proving...
% 89.13/13.44  % 
% 89.13/13.44  
% 89.13/13.44  % SZS status Theorem for theBenchmark.p
% 89.13/13.44  
% 89.13/13.44  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 89.13/13.44  
% 89.13/13.44  
%------------------------------------------------------------------------------