TSTP Solution File: SET018+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET018+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %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 : Wed Aug 31 18:23:09 EDT 2022

% Result   : Theorem 0.18s 0.57s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  112 (  12 unt;   0 def)
%            Number of atoms       :  300 (  78 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  330 ( 142   ~; 146   |;  22   &)
%                                         (  13 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  103 (  88   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f360,plain,
    $false,
    inference(avatar_sat_refutation,[],[f125,f146,f176,f218,f268,f281,f312,f337,f359]) ).

fof(f359,plain,
    ( ~ spl7_1
    | spl7_3 ),
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | ~ spl7_1
    | spl7_3 ),
    inference(subsumption_resolution,[],[f356,f140]) ).

fof(f140,plain,
    ( sK3 != sK4
    | spl7_3 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl7_3
  <=> sK3 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f356,plain,
    ( sK3 = sK4
    | ~ spl7_1 ),
    inference(resolution,[],[f352,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( member(X1,singleton(X0))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X1,singleton(X0)) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( member(X1,singleton(X0))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X2] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).

fof(f352,plain,
    ( member(sK3,singleton(sK4))
    | ~ spl7_1 ),
    inference(superposition,[],[f87,f120]) ).

fof(f120,plain,
    ( singleton(sK4) = unordered_pair(sK3,sK1)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl7_1
  <=> singleton(sK4) = unordered_pair(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f87,plain,
    ! [X2,X1] : member(X2,unordered_pair(X2,X1)),
    inference(equality_resolution,[],[f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
      | X0 != X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,unordered_pair(X0,X1))
        | ( X1 != X2
          & X0 != X2 ) )
      & ( X1 = X2
        | X0 = X2
        | ~ member(X2,unordered_pair(X0,X1)) ) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,unordered_pair(X0,X1))
        | ( X1 != X2
          & X0 != X2 ) )
      & ( X1 = X2
        | X0 = X2
        | ~ member(X2,unordered_pair(X0,X1)) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( X1 = X2
        | X0 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).

fof(f337,plain,
    ( ~ spl7_1
    | ~ spl7_3
    | spl7_4 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_3
    | spl7_4 ),
    inference(subsumption_resolution,[],[f334,f328]) ).

fof(f328,plain,
    ( sK3 != sK1
    | ~ spl7_3
    | spl7_4 ),
    inference(superposition,[],[f144,f141]) ).

fof(f141,plain,
    ( sK3 = sK4
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f144,plain,
    ( sK4 != sK1
    | spl7_4 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl7_4
  <=> sK4 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f334,plain,
    ( sK3 = sK1
    | ~ spl7_1
    | ~ spl7_3 ),
    inference(resolution,[],[f333,f80]) ).

fof(f333,plain,
    ( member(sK1,singleton(sK3))
    | ~ spl7_1
    | ~ spl7_3 ),
    inference(superposition,[],[f86,f313]) ).

fof(f313,plain,
    ( unordered_pair(sK3,sK1) = singleton(sK3)
    | ~ spl7_1
    | ~ spl7_3 ),
    inference(forward_demodulation,[],[f120,f141]) ).

fof(f86,plain,
    ! [X2,X0] : member(X2,unordered_pair(X0,X2)),
    inference(equality_resolution,[],[f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
      | X1 != X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f312,plain,
    ( ~ spl7_1
    | spl7_2
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(avatar_contradiction_clause,[],[f311]) ).

fof(f311,plain,
    ( $false
    | ~ spl7_1
    | spl7_2
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(subsumption_resolution,[],[f310,f291]) ).

fof(f291,plain,
    ( unordered_pair(sK1,sK2) != singleton(sK1)
    | ~ spl7_1
    | spl7_2
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f290,f145]) ).

fof(f145,plain,
    ( sK4 = sK1
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f290,plain,
    ( unordered_pair(sK4,sK2) != singleton(sK1)
    | ~ spl7_1
    | spl7_2
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f123,f283]) ).

fof(f283,plain,
    ( unordered_pair(sK3,sK1) = singleton(sK1)
    | ~ spl7_1
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f120,f145]) ).

fof(f123,plain,
    ( unordered_pair(sK4,sK2) != unordered_pair(sK3,sK1)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl7_2
  <=> unordered_pair(sK4,sK2) = unordered_pair(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f310,plain,
    ( unordered_pair(sK1,sK2) = singleton(sK1)
    | ~ spl7_1
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f308,plain,
    ( unordered_pair(sK1,sK2) = singleton(sK1)
    | unordered_pair(sK1,sK2) = singleton(sK1)
    | ~ spl7_1
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(resolution,[],[f295,f68]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f295,plain,
    ( member(unordered_pair(sK1,sK2),unordered_pair(singleton(sK1),singleton(sK1)))
    | ~ spl7_1
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f286,f292]) ).

fof(f292,plain,
    ( sK3 = sK1
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f141,f145]) ).

fof(f286,plain,
    ( member(unordered_pair(sK1,sK2),unordered_pair(singleton(sK3),singleton(sK1)))
    | ~ spl7_1
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f282,f283]) ).

fof(f282,plain,
    ( member(unordered_pair(sK1,sK2),unordered_pair(singleton(sK3),unordered_pair(sK3,sK1)))
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f113,f145]) ).

fof(f113,plain,
    member(unordered_pair(sK4,sK2),unordered_pair(singleton(sK3),unordered_pair(sK3,sK1))),
    inference(resolution,[],[f108,f90]) ).

fof(f90,plain,
    subset(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),unordered_pair(singleton(sK3),unordered_pair(sK3,sK1))),
    inference(resolution,[],[f62,f67]) ).

fof(f67,plain,
    equal_set(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),unordered_pair(singleton(sK3),unordered_pair(sK3,sK1))),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( equal_set(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),unordered_pair(singleton(sK3),unordered_pair(sK3,sK1)))
    & sK2 != sK1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f36,f37]) ).

fof(f37,plain,
    ( ? [X0,X1,X2,X3] :
        ( equal_set(unordered_pair(singleton(X3),unordered_pair(X3,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X0)))
        & X0 != X1 )
   => ( equal_set(unordered_pair(singleton(sK4),unordered_pair(sK4,sK2)),unordered_pair(singleton(sK3),unordered_pair(sK3,sK1)))
      & sK2 != sK1 ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ? [X0,X1,X2,X3] :
      ( equal_set(unordered_pair(singleton(X3),unordered_pair(X3,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X0)))
      & X0 != X1 ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ? [X1,X0,X3,X2] :
      ( equal_set(unordered_pair(singleton(X2),unordered_pair(X2,X0)),unordered_pair(singleton(X3),unordered_pair(X3,X1)))
      & X0 != X1 ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ~ ! [X0,X1,X3,X2] :
        ( equal_set(unordered_pair(singleton(X2),unordered_pair(X2,X0)),unordered_pair(singleton(X3),unordered_pair(X3,X1)))
       => X0 = X1 ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X1,X6,X0,X5] :
        ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
       => X1 = X6 ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X1,X6,X0,X5] :
      ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
     => X1 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI50b) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ equal_set(X1,X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ equal_set(X1,X0)
      | ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( equal_set(X1,X0)
     => ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( equal_set(X1,X0)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] :
      ( equal_set(X0,X1)
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).

fof(f108,plain,
    ! [X10,X11,X9] :
      ( ~ subset(unordered_pair(X11,X9),X10)
      | member(X9,X10) ),
    inference(resolution,[],[f58,f86]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( member(sK0(X0,X1),X0)
          & ~ member(sK0(X0,X1),X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X0)
          & ~ member(X3,X1) )
     => ( member(sK0(X0,X1),X0)
        & ~ member(sK0(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( member(X3,X0)
            & ~ member(X3,X1) ) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).

fof(f281,plain,
    ~ spl7_6,
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f278,f66]) ).

fof(f66,plain,
    sK2 != sK1,
    inference(cnf_transformation,[],[f38]) ).

fof(f278,plain,
    ( sK2 = sK1
    | ~ spl7_6 ),
    inference(resolution,[],[f277,f80]) ).

fof(f277,plain,
    ( member(sK2,singleton(sK1))
    | ~ spl7_6 ),
    inference(superposition,[],[f88,f217]) ).

fof(f217,plain,
    ( singleton(sK2) = singleton(sK1)
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl7_6
  <=> singleton(sK2) = singleton(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f88,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( member(X1,singleton(X0))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f268,plain,
    ~ spl7_5,
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | ~ spl7_5 ),
    inference(subsumption_resolution,[],[f265,f66]) ).

fof(f265,plain,
    ( sK2 = sK1
    | ~ spl7_5 ),
    inference(resolution,[],[f263,f80]) ).

fof(f263,plain,
    ( member(sK1,singleton(sK2))
    | ~ spl7_5 ),
    inference(superposition,[],[f87,f213]) ).

fof(f213,plain,
    ( singleton(sK2) = unordered_pair(sK1,sK2)
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl7_5
  <=> singleton(sK2) = unordered_pair(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f218,plain,
    ( spl7_5
    | spl7_6
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(avatar_split_clause,[],[f208,f143,f122,f215,f211]) ).

fof(f208,plain,
    ( singleton(sK2) = singleton(sK1)
    | singleton(sK2) = unordered_pair(sK1,sK2)
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(resolution,[],[f204,f68]) ).

fof(f204,plain,
    ( member(singleton(sK2),unordered_pair(singleton(sK1),unordered_pair(sK1,sK2)))
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(resolution,[],[f109,f187]) ).

fof(f187,plain,
    ( subset(unordered_pair(singleton(sK2),unordered_pair(sK1,sK2)),unordered_pair(singleton(sK1),unordered_pair(sK1,sK2)))
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f186,f184]) ).

fof(f184,plain,
    ( unordered_pair(sK1,sK2) = unordered_pair(sK2,sK1)
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f179,f145]) ).

fof(f179,plain,
    ( unordered_pair(sK4,sK2) = unordered_pair(sK2,sK1)
    | ~ spl7_2 ),
    inference(forward_demodulation,[],[f124,f156]) ).

fof(f156,plain,
    ( sK2 = sK3
    | ~ spl7_2 ),
    inference(subsumption_resolution,[],[f154,f66]) ).

fof(f154,plain,
    ( sK2 = sK3
    | sK2 = sK1
    | ~ spl7_2 ),
    inference(resolution,[],[f135,f68]) ).

fof(f135,plain,
    ( member(sK2,unordered_pair(sK3,sK1))
    | ~ spl7_2 ),
    inference(superposition,[],[f86,f124]) ).

fof(f124,plain,
    ( unordered_pair(sK4,sK2) = unordered_pair(sK3,sK1)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f186,plain,
    ( subset(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK1),unordered_pair(sK2,sK1)))
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f177,f145]) ).

fof(f177,plain,
    ( subset(unordered_pair(singleton(sK2),unordered_pair(sK2,sK1)),unordered_pair(singleton(sK4),unordered_pair(sK2,sK1)))
    | ~ spl7_2 ),
    inference(forward_demodulation,[],[f130,f156]) ).

fof(f130,plain,
    ( subset(unordered_pair(singleton(sK3),unordered_pair(sK3,sK1)),unordered_pair(singleton(sK4),unordered_pair(sK3,sK1)))
    | ~ spl7_2 ),
    inference(backward_demodulation,[],[f89,f124]) ).

fof(f89,plain,
    subset(unordered_pair(singleton(sK3),unordered_pair(sK3,sK1)),unordered_pair(singleton(sK4),unordered_pair(sK4,sK2))),
    inference(resolution,[],[f61,f67]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ equal_set(X1,X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f109,plain,
    ! [X14,X12,X13] :
      ( ~ subset(unordered_pair(X12,X14),X13)
      | member(X12,X13) ),
    inference(resolution,[],[f58,f87]) ).

fof(f176,plain,
    ( ~ spl7_2
    | ~ spl7_3 ),
    inference(avatar_contradiction_clause,[],[f175]) ).

fof(f175,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(subsumption_resolution,[],[f172,f66]) ).

fof(f172,plain,
    ( sK2 = sK1
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(resolution,[],[f164,f86]) ).

fof(f164,plain,
    ( ! [X1] :
        ( ~ member(X1,unordered_pair(sK2,sK1))
        | sK2 = X1 )
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ( ! [X1] :
        ( sK2 = X1
        | sK2 = X1
        | ~ member(X1,unordered_pair(sK2,sK1)) )
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(forward_demodulation,[],[f162,f156]) ).

fof(f162,plain,
    ( ! [X1] :
        ( sK3 = X1
        | sK2 = X1
        | ~ member(X1,unordered_pair(sK2,sK1)) )
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(backward_demodulation,[],[f151,f156]) ).

fof(f151,plain,
    ( ! [X1] :
        ( sK3 = X1
        | sK2 = X1
        | ~ member(X1,unordered_pair(sK3,sK1)) )
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(backward_demodulation,[],[f133,f141]) ).

fof(f133,plain,
    ( ! [X1] :
        ( sK4 = X1
        | ~ member(X1,unordered_pair(sK3,sK1))
        | sK2 = X1 )
    | ~ spl7_2 ),
    inference(superposition,[],[f68,f124]) ).

fof(f146,plain,
    ( spl7_3
    | spl7_4
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f136,f122,f143,f139]) ).

fof(f136,plain,
    ( sK4 = sK1
    | sK3 = sK4
    | ~ spl7_2 ),
    inference(resolution,[],[f134,f68]) ).

fof(f134,plain,
    ( member(sK4,unordered_pair(sK3,sK1))
    | ~ spl7_2 ),
    inference(superposition,[],[f87,f124]) ).

fof(f125,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f115,f122,f118]) ).

fof(f115,plain,
    ( unordered_pair(sK4,sK2) = unordered_pair(sK3,sK1)
    | singleton(sK4) = unordered_pair(sK3,sK1) ),
    inference(resolution,[],[f112,f68]) ).

fof(f112,plain,
    member(unordered_pair(sK3,sK1),unordered_pair(singleton(sK4),unordered_pair(sK4,sK2))),
    inference(resolution,[],[f108,f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET018+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 12:51:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.51  % (23056)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51  % (23067)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51  % (23058)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  % (23046)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.51  % (23047)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (23050)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (23055)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (23049)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  TRYING [3]
% 0.18/0.52  % (23073)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52  % (23048)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (23060)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (23054)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (23054)Instruction limit reached!
% 0.18/0.53  % (23054)------------------------------
% 0.18/0.53  % (23054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23054)Termination reason: Unknown
% 0.18/0.53  % (23054)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (23054)Memory used [KB]: 5500
% 0.18/0.53  % (23054)Time elapsed: 0.135 s
% 0.18/0.53  % (23054)Instructions burned: 3 (million)
% 0.18/0.53  % (23054)------------------------------
% 0.18/0.53  % (23054)------------------------------
% 0.18/0.53  % (23072)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (23068)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.53  % (23061)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53  TRYING [4]
% 0.18/0.53  % (23057)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (23052)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (23063)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  TRYING [3]
% 0.18/0.53  % (23047)Refutation not found, incomplete strategy% (23047)------------------------------
% 0.18/0.53  % (23047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23047)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (23047)Memory used [KB]: 5500
% 0.18/0.53  % (23047)Time elapsed: 0.141 s
% 0.18/0.53  % (23047)Instructions burned: 3 (million)
% 0.18/0.53  % (23047)------------------------------
% 0.18/0.53  % (23047)------------------------------
% 0.18/0.54  % (23066)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54  % (23059)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (23074)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.54  % (23065)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (23051)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.54  % (23053)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (23071)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.54  % (23070)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54  % (23069)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.54  % (23075)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.55  % (23062)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.56  % (23064)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.56  TRYING [1]
% 0.18/0.56  TRYING [2]
% 0.18/0.56  TRYING [3]
% 0.18/0.56  TRYING [5]
% 0.18/0.56  TRYING [4]
% 0.18/0.56  TRYING [4]
% 0.18/0.56  % (23066)First to succeed.
% 0.18/0.56  % (23053)Instruction limit reached!
% 0.18/0.56  % (23053)------------------------------
% 0.18/0.56  % (23053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (23053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (23053)Termination reason: Unknown
% 0.18/0.56  % (23053)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (23053)Memory used [KB]: 5500
% 0.18/0.56  % (23053)Time elapsed: 0.179 s
% 0.18/0.56  % (23053)Instructions burned: 8 (million)
% 0.18/0.56  % (23053)------------------------------
% 0.18/0.56  % (23053)------------------------------
% 0.18/0.57  % (23066)Refutation found. Thanks to Tanya!
% 0.18/0.57  % SZS status Theorem for theBenchmark
% 0.18/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57  % (23066)------------------------------
% 0.18/0.57  % (23066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (23066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (23066)Termination reason: Refutation
% 0.18/0.57  
% 0.18/0.57  % (23066)Memory used [KB]: 5628
% 0.18/0.57  % (23066)Time elapsed: 0.177 s
% 0.18/0.57  % (23066)Instructions burned: 13 (million)
% 0.18/0.57  % (23066)------------------------------
% 0.18/0.57  % (23066)------------------------------
% 0.18/0.57  % (23033)Success in time 0.22 s
%------------------------------------------------------------------------------