TSTP Solution File: SET944+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET944+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 15:10:46 EDT 2023

% Result   : Theorem 3.47s 1.17s
% Output   : CNFRefutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   65 (   9 unt;   0 def)
%            Number of atoms       :  267 (  26 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  336 ( 134   ~; 132   |;  57   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :  165 (   2 sgn; 112   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( union(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] :
              ( in(X3,X0)
              & in(X2,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).

fof(f10,conjecture,
    ! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_zfmisc_1) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
    inference(negated_conjecture,[],[f10]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f16,plain,
    ? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
    inference(ennf_transformation,[],[f11]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK0(X0,X1),X1)
        & in(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = X2
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f22]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( in(X3,X1)
              & in(X3,X0) )
            | in(X3,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) )
          | in(sK1(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) = 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) )
            | in(sK1(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( union(X0) = X1
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) )
              | ~ in(X2,X1) )
            & ( ? [X3] :
                  ( in(X3,X0)
                  & in(X2,X3) )
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) ) )
            & ( ? [X3] :
                  ( in(X3,X0)
                  & in(X2,X3) )
              | ~ in(X2,X1) ) )
        | union(X0) != X1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( union(X0) = X1
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) )
              | ~ in(X2,X1) )
            & ( ? [X4] :
                  ( in(X4,X0)
                  & in(X2,X4) )
              | in(X2,X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] :
                  ( ~ in(X6,X0)
                  | ~ in(X5,X6) ) )
            & ( ? [X7] :
                  ( in(X7,X0)
                  & in(X5,X7) )
              | ~ in(X5,X1) ) )
        | union(X0) != X1 ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( ~ in(X3,X0)
                | ~ in(X2,X3) )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( in(X4,X0)
                & in(X2,X4) )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( ~ in(X3,X0)
              | ~ in(sK2(X0,X1),X3) )
          | ~ in(sK2(X0,X1),X1) )
        & ( ? [X4] :
              ( in(X4,X0)
              & in(sK2(X0,X1),X4) )
          | in(sK2(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( in(X4,X0)
          & in(sK2(X0,X1),X4) )
     => ( in(sK3(X0,X1),X0)
        & in(sK2(X0,X1),sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( in(X7,X0)
          & in(X5,X7) )
     => ( in(sK4(X0,X5),X0)
        & in(X5,sK4(X0,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( union(X0) = X1
        | ( ( ! [X3] :
                ( ~ in(X3,X0)
                | ~ in(sK2(X0,X1),X3) )
            | ~ in(sK2(X0,X1),X1) )
          & ( ( in(sK3(X0,X1),X0)
              & in(sK2(X0,X1),sK3(X0,X1)) )
            | in(sK2(X0,X1),X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] :
                  ( ~ in(X6,X0)
                  | ~ in(X5,X6) ) )
            & ( ( in(sK4(X0,X5),X0)
                & in(X5,sK4(X0,X5)) )
              | ~ in(X5,X1) ) )
        | union(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f27,f30,f29,f28]) ).

fof(f36,plain,
    ( ? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1)))
   => ~ subset(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ~ subset(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f16,f36]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f43,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f44,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f45,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | ~ in(X4,X0)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f49,plain,
    ! [X0,X1,X5] :
      ( in(X5,sK4(X0,X5))
      | ~ in(X5,X1)
      | union(X0) != X1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    ! [X0,X1,X5] :
      ( in(sK4(X0,X5),X0)
      | ~ in(X5,X1)
      | union(X0) != X1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f51,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(X6,X0)
      | ~ in(X5,X6)
      | union(X0) != X1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f59,plain,
    ~ subset(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),
    inference(cnf_transformation,[],[f37]) ).

fof(f60,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_intersection2(X0,X1))
      | ~ in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f45]) ).

fof(f61,plain,
    ! [X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,set_intersection2(X0,X1)) ),
    inference(equality_resolution,[],[f44]) ).

fof(f62,plain,
    ! [X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,set_intersection2(X0,X1)) ),
    inference(equality_resolution,[],[f43]) ).

fof(f63,plain,
    ! [X0,X6,X5] :
      ( in(X5,union(X0))
      | ~ in(X6,X0)
      | ~ in(X5,X6) ),
    inference(equality_resolution,[],[f51]) ).

fof(f64,plain,
    ! [X0,X5] :
      ( in(sK4(X0,X5),X0)
      | ~ in(X5,union(X0)) ),
    inference(equality_resolution,[],[f50]) ).

fof(f65,plain,
    ! [X0,X5] :
      ( in(X5,sK4(X0,X5))
      | ~ in(X5,union(X0)) ),
    inference(equality_resolution,[],[f49]) ).

cnf(c_51,plain,
    ( ~ in(sK0(X0,X1),X1)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_52,plain,
    ( in(sK0(X0,X1),X0)
    | subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_57,plain,
    ( ~ in(X0,X1)
    | ~ in(X0,X2)
    | in(X0,set_intersection2(X2,X1)) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_58,plain,
    ( ~ in(X0,set_intersection2(X1,X2))
    | in(X0,X2) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_59,plain,
    ( ~ in(X0,set_intersection2(X1,X2))
    | in(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_63,plain,
    ( ~ in(X0,X1)
    | ~ in(X1,X2)
    | in(X0,union(X2)) ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_64,plain,
    ( ~ in(X0,union(X1))
    | in(sK4(X1,X0),X1) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_65,plain,
    ( ~ in(X0,union(X1))
    | in(X0,sK4(X1,X0)) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_70,negated_conjecture,
    ~ subset(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_213,plain,
    ( set_intersection2(union(sK7),union(sK8)) != X1
    | union(set_intersection2(sK7,sK8)) != X0
    | in(sK0(X0,X1),X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_70]) ).

cnf(c_214,plain,
    in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(set_intersection2(sK7,sK8))),
    inference(unflattening,[status(thm)],[c_213]) ).

cnf(c_218,plain,
    ( set_intersection2(union(sK7),union(sK8)) != X1
    | union(set_intersection2(sK7,sK8)) != X0
    | ~ in(sK0(X0,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_70]) ).

cnf(c_219,plain,
    ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),set_intersection2(union(sK7),union(sK8))),
    inference(unflattening,[status(thm)],[c_218]) ).

cnf(c_689,plain,
    ( ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(set_intersection2(sK7,sK8)))
    | in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),set_intersection2(sK7,sK8)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_690,plain,
    ( ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(set_intersection2(sK7,sK8)))
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))))) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_715,plain,
    ( ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))))
    | ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),X0)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_725,plain,
    ( ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),X0)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_715,c_214,c_690,c_715]) ).

cnf(c_727,plain,
    ( ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),sK7)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(sK7)) ),
    inference(instantiation,[status(thm)],[c_725]) ).

cnf(c_760,plain,
    ( ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),set_intersection2(sK7,sK8))
    | in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),sK8) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_761,plain,
    ( ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),set_intersection2(sK7,sK8))
    | in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),sK7) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_805,plain,
    ( ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(X0))
    | ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),X1)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),set_intersection2(X1,union(X0))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_831,plain,
    ( ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))))
    | ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),X0)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(X0)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_838,plain,
    ( ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),X0)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_831,c_725]) ).

cnf(c_904,plain,
    ( ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(sK7))
    | ~ in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(sK8))
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),set_intersection2(union(sK7),union(sK8))) ),
    inference(instantiation,[status(thm)],[c_805]) ).

cnf(c_1235,plain,
    ( ~ in(sK4(set_intersection2(sK7,sK8),sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8)))),sK8)
    | in(sK0(union(set_intersection2(sK7,sK8)),set_intersection2(union(sK7),union(sK8))),union(sK8)) ),
    inference(instantiation,[status(thm)],[c_838]) ).

cnf(c_1239,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1235,c_904,c_760,c_761,c_727,c_689,c_219,c_214]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET944+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 10:41:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.47/1.17  % SZS status Started for theBenchmark.p
% 3.47/1.17  % SZS status Theorem for theBenchmark.p
% 3.47/1.17  
% 3.47/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.47/1.17  
% 3.47/1.17  ------  iProver source info
% 3.47/1.17  
% 3.47/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.47/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.47/1.17  git: non_committed_changes: false
% 3.47/1.17  git: last_make_outside_of_git: false
% 3.47/1.17  
% 3.47/1.17  ------ Parsing...
% 3.47/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.47/1.17  
% 3.47/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.47/1.17  
% 3.47/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.47/1.17  
% 3.47/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.47/1.17  ------ Proving...
% 3.47/1.17  ------ Problem Properties 
% 3.47/1.17  
% 3.47/1.17  
% 3.47/1.17  clauses                                 21
% 3.47/1.17  conjectures                             1
% 3.47/1.17  EPR                                     4
% 3.47/1.17  Horn                                    16
% 3.47/1.17  unary                                   5
% 3.47/1.17  binary                                  7
% 3.47/1.17  lits                                    48
% 3.47/1.17  lits eq                                 9
% 3.47/1.17  fd_pure                                 0
% 3.47/1.17  fd_pseudo                               0
% 3.47/1.17  fd_cond                                 0
% 3.47/1.17  fd_pseudo_cond                          6
% 3.47/1.17  AC symbols                              0
% 3.47/1.17  
% 3.47/1.17  ------ Input Options Time Limit: Unbounded
% 3.47/1.17  
% 3.47/1.17  
% 3.47/1.17  ------ 
% 3.47/1.17  Current options:
% 3.47/1.17  ------ 
% 3.47/1.17  
% 3.47/1.17  
% 3.47/1.17  
% 3.47/1.17  
% 3.47/1.17  ------ Proving...
% 3.47/1.17  
% 3.47/1.17  
% 3.47/1.17  % SZS status Theorem for theBenchmark.p
% 3.47/1.17  
% 3.47/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.17  
% 3.47/1.17  
%------------------------------------------------------------------------------