TSTP Solution File: SET938+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET938+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 : Tue Apr 30 20:40:45 EDT 2024

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   67 (  12 unt;   0 def)
%            Number of atoms       :  219 (  22 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  246 (  94   ~; 111   |;  30   &)
%                                         (  10 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :  129 ( 121   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [A,B] : symmetric_difference(A,B) = symmetric_difference(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] :
      ( B = powerset(A)
    <=> ! [C] :
          ( in(C,B)
        <=> subset(C,A) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] :
      ( C = set_union2(A,B)
    <=> ! [D] :
          ( in(D,C)
        <=> ( in(D,A)
            | in(D,B) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( in(C,A)
         => in(C,B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B] : symmetric_difference(A,B) = set_union2(set_difference(A,B),set_difference(B,A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,conjecture,
    ! [A,B] : subset(set_union2(powerset(set_difference(A,B)),powerset(set_difference(B,A))),powerset(symmetric_difference(A,B))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ ! [A,B] : subset(set_union2(powerset(set_difference(A,B)),powerset(set_difference(B,A))),powerset(symmetric_difference(A,B))),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f19,plain,
    ! [X0,X1] : symmetric_difference(X0,X1) = symmetric_difference(X1,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f20,plain,
    ! [A,B] :
      ( ( B != powerset(A)
        | ! [C] :
            ( ( ~ in(C,B)
              | subset(C,A) )
            & ( in(C,B)
              | ~ subset(C,A) ) ) )
      & ( B = powerset(A)
        | ? [C] :
            ( ( ~ in(C,B)
              | ~ subset(C,A) )
            & ( in(C,B)
              | subset(C,A) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f4]) ).

fof(f21,plain,
    ( ! [A,B] :
        ( B != powerset(A)
        | ( ! [C] :
              ( ~ in(C,B)
              | subset(C,A) )
          & ! [C] :
              ( in(C,B)
              | ~ subset(C,A) ) ) )
    & ! [A,B] :
        ( B = powerset(A)
        | ? [C] :
            ( ( ~ in(C,B)
              | ~ subset(C,A) )
            & ( in(C,B)
              | subset(C,A) ) ) ) ),
    inference(miniscoping,[status(esa)],[f20]) ).

fof(f22,plain,
    ( ! [A,B] :
        ( B != powerset(A)
        | ( ! [C] :
              ( ~ in(C,B)
              | subset(C,A) )
          & ! [C] :
              ( in(C,B)
              | ~ subset(C,A) ) ) )
    & ! [A,B] :
        ( B = powerset(A)
        | ( ( ~ in(sk0_0(B,A),B)
            | ~ subset(sk0_0(B,A),A) )
          & ( in(sk0_0(B,A),B)
            | subset(sk0_0(B,A),A) ) ) ) ),
    inference(skolemization,[status(esa)],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( X0 != powerset(X1)
      | ~ in(X2,X0)
      | subset(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( X0 != powerset(X1)
      | in(X2,X0)
      | ~ subset(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f27,plain,
    ! [A,B,C] :
      ( ( C != set_union2(A,B)
        | ! [D] :
            ( ( ~ in(D,C)
              | in(D,A)
              | in(D,B) )
            & ( in(D,C)
              | ( ~ in(D,A)
                & ~ in(D,B) ) ) ) )
      & ( C = set_union2(A,B)
        | ? [D] :
            ( ( ~ in(D,C)
              | ( ~ in(D,A)
                & ~ in(D,B) ) )
            & ( in(D,C)
              | in(D,A)
              | in(D,B) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f5]) ).

fof(f28,plain,
    ( ! [A,B,C] :
        ( C != set_union2(A,B)
        | ( ! [D] :
              ( ~ in(D,C)
              | in(D,A)
              | in(D,B) )
          & ! [D] :
              ( in(D,C)
              | ( ~ in(D,A)
                & ~ in(D,B) ) ) ) )
    & ! [A,B,C] :
        ( C = set_union2(A,B)
        | ? [D] :
            ( ( ~ in(D,C)
              | ( ~ in(D,A)
                & ~ in(D,B) ) )
            & ( in(D,C)
              | in(D,A)
              | in(D,B) ) ) ) ),
    inference(miniscoping,[status(esa)],[f27]) ).

fof(f29,plain,
    ( ! [A,B,C] :
        ( C != set_union2(A,B)
        | ( ! [D] :
              ( ~ in(D,C)
              | in(D,A)
              | in(D,B) )
          & ! [D] :
              ( in(D,C)
              | ( ~ in(D,A)
                & ~ in(D,B) ) ) ) )
    & ! [A,B,C] :
        ( C = set_union2(A,B)
        | ( ( ~ in(sk0_1(C,B,A),C)
            | ( ~ in(sk0_1(C,B,A),A)
              & ~ in(sk0_1(C,B,A),B) ) )
          & ( in(sk0_1(C,B,A),C)
            | in(sk0_1(C,B,A),A)
            | in(sk0_1(C,B,A),B) ) ) ) ),
    inference(skolemization,[status(esa)],[f28]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] :
      ( X0 != set_union2(X1,X2)
      | ~ in(X3,X0)
      | in(X3,X1)
      | in(X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3] :
      ( X0 != set_union2(X1,X2)
      | in(X3,X0)
      | ~ in(X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f36,plain,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( ~ in(C,A)
          | in(C,B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f37,plain,
    ! [A,B] :
      ( ( ~ subset(A,B)
        | ! [C] :
            ( ~ in(C,A)
            | in(C,B) ) )
      & ( subset(A,B)
        | ? [C] :
            ( in(C,A)
            & ~ in(C,B) ) ) ),
    inference(NNF_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ( ! [A,B] :
        ( ~ subset(A,B)
        | ! [C] :
            ( ~ in(C,A)
            | in(C,B) ) )
    & ! [A,B] :
        ( subset(A,B)
        | ? [C] :
            ( in(C,A)
            & ~ in(C,B) ) ) ),
    inference(miniscoping,[status(esa)],[f37]) ).

fof(f39,plain,
    ( ! [A,B] :
        ( ~ subset(A,B)
        | ! [C] :
            ( ~ in(C,A)
            | in(C,B) ) )
    & ! [A,B] :
        ( subset(A,B)
        | ( in(sk0_2(B,A),A)
          & ~ in(sk0_2(B,A),B) ) ) ),
    inference(skolemization,[status(esa)],[f38]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ~ subset(X0,X1)
      | ~ in(X2,X0)
      | in(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sk0_2(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sk0_2(X1,X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f43,plain,
    ! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f58,plain,
    ? [A,B] : ~ subset(set_union2(powerset(set_difference(A,B)),powerset(set_difference(B,A))),powerset(symmetric_difference(A,B))),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f59,plain,
    ~ subset(set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))),powerset(symmetric_difference(sk0_5,sk0_6))),
    inference(skolemization,[status(esa)],[f58]) ).

fof(f60,plain,
    ~ subset(set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))),powerset(symmetric_difference(sk0_5,sk0_6))),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ in(X0,powerset(X1))
      | subset(X0,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f23]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( in(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f24]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ~ in(X0,set_union2(X1,X2))
      | in(X0,X1)
      | in(X0,X2) ),
    inference(destructive_equality_resolution,[status(esa)],[f30]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( in(X0,set_union2(X1,X2))
      | ~ in(X0,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f31]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( in(X0,symmetric_difference(X1,X2))
      | ~ in(X0,set_difference(X1,X2)) ),
    inference(paramodulation,[status(thm)],[f43,f64]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( subset(set_union2(X0,X1),X2)
      | in(sk0_2(X2,set_union2(X0,X1)),X0)
      | in(sk0_2(X2,set_union2(X0,X1)),X1) ),
    inference(resolution,[status(thm)],[f41,f63]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( subset(X0,powerset(X1))
      | ~ subset(sk0_2(powerset(X1),X0),X1) ),
    inference(resolution,[status(thm)],[f42,f62]) ).

fof(f254,plain,
    ( spl0_0
  <=> in(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),powerset(set_difference(sk0_5,sk0_6))) ),
    introduced(split_symbol_definition) ).

fof(f255,plain,
    ( in(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),powerset(set_difference(sk0_5,sk0_6)))
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f254]) ).

fof(f257,plain,
    ( spl0_1
  <=> in(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),powerset(set_difference(sk0_6,sk0_5))) ),
    introduced(split_symbol_definition) ).

fof(f258,plain,
    ( in(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),powerset(set_difference(sk0_6,sk0_5)))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f257]) ).

fof(f260,plain,
    ( in(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),powerset(set_difference(sk0_5,sk0_6)))
    | in(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),powerset(set_difference(sk0_6,sk0_5))) ),
    inference(resolution,[status(thm)],[f119,f60]) ).

fof(f261,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f260,f254,f257]) ).

fof(f272,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),set_difference(sk0_5,sk0_6))
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f255,f61]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ in(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))))
      | in(X0,set_difference(sk0_5,sk0_6))
      | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f272,f40]) ).

fof(f275,plain,
    ! [X0] :
      ( in(sk0_2(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))))),set_difference(sk0_5,sk0_6))
      | subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),X0)
      | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f274,f41]) ).

fof(f281,plain,
    ! [X0] :
      ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),X0)
      | in(sk0_2(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))))),symmetric_difference(sk0_5,sk0_6))
      | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f275,f76]) ).

fof(f286,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),set_difference(sk0_6,sk0_5))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f258,f61]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ in(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))))
      | in(X0,set_difference(sk0_6,sk0_5))
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f286,f40]) ).

fof(f290,plain,
    ! [X0] :
      ( in(sk0_2(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))))),set_difference(sk0_6,sk0_5))
      | subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),X0)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f288,f41]) ).

fof(f291,plain,
    ( spl0_3
  <=> subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),set_difference(sk0_6,sk0_5)) ),
    introduced(split_symbol_definition) ).

fof(f292,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),set_difference(sk0_6,sk0_5))
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f291]) ).

fof(f294,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),set_difference(sk0_6,sk0_5))
    | subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),set_difference(sk0_6,sk0_5))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f290,f42]) ).

fof(f295,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f294,f291,f257]) ).

fof(f300,plain,
    ! [X0] :
      ( ~ in(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))))
      | in(X0,set_difference(sk0_6,sk0_5))
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f292,f40]) ).

fof(f302,plain,
    ! [X0] :
      ( in(sk0_2(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))))),set_difference(sk0_6,sk0_5))
      | subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),X0)
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f300,f41]) ).

fof(f306,plain,
    ( spl0_4
  <=> subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6)) ),
    introduced(split_symbol_definition) ).

fof(f307,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6))
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f306]) ).

fof(f309,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6))
    | subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6))
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f281,f42]) ).

fof(f310,plain,
    ( spl0_4
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f309,f306,f254]) ).

fof(f316,plain,
    ! [X0] :
      ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),X0)
      | in(sk0_2(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))))),symmetric_difference(sk0_6,sk0_5))
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f302,f76]) ).

fof(f364,plain,
    ~ subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6)),
    inference(resolution,[status(thm)],[f137,f60]) ).

fof(f365,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f364,f307]) ).

fof(f366,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f365]) ).

fof(f368,plain,
    ! [X0] :
      ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),X0)
      | in(sk0_2(X0,sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5))))),symmetric_difference(sk0_5,sk0_6))
      | ~ spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f19,f316]) ).

fof(f687,plain,
    ( subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6))
    | subset(sk0_2(powerset(symmetric_difference(sk0_5,sk0_6)),set_union2(powerset(set_difference(sk0_5,sk0_6)),powerset(set_difference(sk0_6,sk0_5)))),symmetric_difference(sk0_5,sk0_6))
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f368,f42]) ).

fof(f688,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f687,f306,f291]) ).

fof(f690,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f261,f295,f310,f366,f688]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET938+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr 29 21:20:26 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.17/0.45  % Refutation found
% 0.17/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.45  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.47  % Elapsed time: 0.133644 seconds
% 0.17/0.47  % CPU time: 0.969581 seconds
% 0.17/0.47  % Total memory used: 74.132 MB
% 0.17/0.47  % Net memory used: 73.671 MB
%------------------------------------------------------------------------------