TSTP Solution File: SEU156+3 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEU156+3 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n018.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 : Mon Jun 24 15:37:43 EDT 2024

% Result   : Theorem 0.21s 0.45s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  113 (  16 unt;   0 def)
%            Number of atoms       :  276 ( 128 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  289 ( 126   ~; 143   |;   5   &)
%                                         (  10 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   96 (  92   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1027,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f184,f302,f352,f759,f782,f788,f811,f831,f977,f998,f1000,f1017]) ).

fof(f1017,plain,
    ( ~ spl6_5
    | ~ spl6_11
    | spl6_18 ),
    inference(avatar_contradiction_clause,[],[f1016]) ).

fof(f1016,plain,
    ( $false
    | ~ spl6_5
    | ~ spl6_11
    | spl6_18 ),
    inference(subsumption_resolution,[],[f1015,f757]) ).

fof(f757,plain,
    ( unordered_pair(sK0,sK0) != unordered_pair(sK2,sK2)
    | spl6_18 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f756,plain,
    ( spl6_18
  <=> unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).

fof(f1015,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
    | ~ spl6_5
    | ~ spl6_11 ),
    inference(forward_demodulation,[],[f351,f122]) ).

fof(f122,plain,
    ( sK2 = sK3
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl6_5
  <=> sK2 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f351,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
    | ~ spl6_11 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl6_11
  <=> unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).

fof(f1000,plain,
    ( spl6_2
    | ~ spl6_18 ),
    inference(avatar_contradiction_clause,[],[f999]) ).

fof(f999,plain,
    ( $false
    | spl6_2
    | ~ spl6_18 ),
    inference(subsumption_resolution,[],[f46,f953]) ).

fof(f953,plain,
    ( sK0 = sK2
    | ~ spl6_18 ),
    inference(duplicate_literal_removal,[],[f952]) ).

fof(f952,plain,
    ( sK0 = sK2
    | sK0 = sK2
    | ~ spl6_18 ),
    inference(equality_resolution,[],[f867]) ).

fof(f867,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) != unordered_pair(sK0,sK0)
        | sK2 = X0
        | sK2 = X1 )
    | ~ spl6_18 ),
    inference(superposition,[],[f30,f758]) ).

fof(f758,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
    | ~ spl6_18 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(X2,X3)
      | X0 = X2
      | X0 = X3 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X3
      | X0 = X2
      | unordered_pair(X0,X1) != unordered_pair(X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ~ ( X0 != X3
        & X0 != X2
        & unordered_pair(X0,X1) = unordered_pair(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f46,plain,
    ( sK0 != sK2
    | spl6_2 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl6_2
  <=> sK0 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f998,plain,
    ( spl6_7
    | ~ spl6_16
    | ~ spl6_18 ),
    inference(avatar_contradiction_clause,[],[f997]) ).

fof(f997,plain,
    ( $false
    | spl6_7
    | ~ spl6_16
    | ~ spl6_18 ),
    inference(subsumption_resolution,[],[f996,f179]) ).

fof(f179,plain,
    ( sK0 != sK1
    | spl6_7 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl6_7
  <=> sK0 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f996,plain,
    ( sK0 = sK1
    | ~ spl6_16
    | ~ spl6_18 ),
    inference(forward_demodulation,[],[f413,f953]) ).

fof(f413,plain,
    ( sK1 = sK2
    | ~ spl6_16 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f411,plain,
    ( spl6_16
  <=> sK1 = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).

fof(f977,plain,
    ( spl6_1
    | ~ spl6_2
    | ~ spl6_10
    | spl6_16 ),
    inference(avatar_contradiction_clause,[],[f976]) ).

fof(f976,plain,
    ( $false
    | spl6_1
    | ~ spl6_2
    | ~ spl6_10
    | spl6_16 ),
    inference(subsumption_resolution,[],[f975,f42]) ).

fof(f42,plain,
    ( sK1 != sK3
    | spl6_1 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl6_1
  <=> sK1 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f975,plain,
    ( sK1 = sK3
    | ~ spl6_2
    | ~ spl6_10
    | spl6_16 ),
    inference(subsumption_resolution,[],[f973,f836]) ).

fof(f836,plain,
    ( sK0 != sK1
    | ~ spl6_2
    | spl6_16 ),
    inference(forward_demodulation,[],[f412,f45]) ).

fof(f45,plain,
    ( sK0 = sK2
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f412,plain,
    ( sK1 != sK2
    | spl6_16 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f973,plain,
    ( sK0 = sK1
    | sK1 = sK3
    | ~ spl6_2
    | ~ spl6_10 ),
    inference(equality_resolution,[],[f959]) ).

fof(f959,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X1,X0) != unordered_pair(sK0,sK1)
        | sK0 = X0
        | sK3 = X0 )
    | ~ spl6_2
    | ~ spl6_10 ),
    inference(superposition,[],[f904,f25]) ).

fof(f25,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f904,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) != unordered_pair(sK0,sK1)
        | sK0 = X0
        | sK3 = X0 )
    | ~ spl6_2
    | ~ spl6_10 ),
    inference(superposition,[],[f30,f835]) ).

fof(f835,plain,
    ( unordered_pair(sK0,sK1) = unordered_pair(sK0,sK3)
    | ~ spl6_2
    | ~ spl6_10 ),
    inference(forward_demodulation,[],[f347,f45]) ).

fof(f347,plain,
    ( unordered_pair(sK0,sK1) = unordered_pair(sK2,sK3)
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f345,plain,
    ( spl6_10
  <=> unordered_pair(sK0,sK1) = unordered_pair(sK2,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f831,plain,
    ( ~ spl6_7
    | ~ spl6_10
    | spl6_11 ),
    inference(avatar_contradiction_clause,[],[f830]) ).

fof(f830,plain,
    ( $false
    | ~ spl6_7
    | ~ spl6_10
    | spl6_11 ),
    inference(subsumption_resolution,[],[f829,f350]) ).

fof(f350,plain,
    ( unordered_pair(sK0,sK0) != unordered_pair(sK2,sK3)
    | spl6_11 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f829,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
    | ~ spl6_7
    | ~ spl6_10 ),
    inference(forward_demodulation,[],[f347,f180]) ).

fof(f180,plain,
    ( sK0 = sK1
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f811,plain,
    ( spl6_3
    | ~ spl6_5
    | ~ spl6_11 ),
    inference(avatar_contradiction_clause,[],[f810]) ).

fof(f810,plain,
    ( $false
    | spl6_3
    | ~ spl6_5
    | ~ spl6_11 ),
    inference(subsumption_resolution,[],[f798,f766]) ).

fof(f766,plain,
    ( unordered_pair(sK0,sK0) != unordered_pair(sK2,sK2)
    | spl6_3
    | ~ spl6_11 ),
    inference(superposition,[],[f103,f351]) ).

fof(f103,plain,
    ( unordered_pair(sK2,sK3) != unordered_pair(sK2,sK2)
    | spl6_3 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl6_3
  <=> unordered_pair(sK2,sK3) = unordered_pair(sK2,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f798,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
    | ~ spl6_5
    | ~ spl6_11 ),
    inference(superposition,[],[f351,f122]) ).

fof(f788,plain,
    ~ spl6_8,
    inference(avatar_contradiction_clause,[],[f787]) ).

fof(f787,plain,
    ( $false
    | ~ spl6_8 ),
    inference(equality_resolution,[],[f183]) ).

fof(f183,plain,
    ( ! [X0] : unordered_pair(X0,X0) != unordered_pair(sK0,sK0)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f182,plain,
    ( spl6_8
  <=> ! [X0] : unordered_pair(X0,X0) != unordered_pair(sK0,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f782,plain,
    ( spl6_5
    | spl6_8
    | ~ spl6_11 ),
    inference(avatar_split_clause,[],[f772,f349,f182,f120]) ).

fof(f772,plain,
    ( ! [X0] :
        ( unordered_pair(X0,X0) != unordered_pair(sK0,sK0)
        | sK2 = sK3 )
    | ~ spl6_11 ),
    inference(superposition,[],[f37,f351]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(X0,X0) != unordered_pair(X1,X2)
      | X1 = X2 ),
    inference(definition_unfolding,[],[f28,f22]) ).

fof(f22,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( singleton(X0) != unordered_pair(X1,X2)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | singleton(X0) != unordered_pair(X1,X2) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( singleton(X0) = unordered_pair(X1,X2)
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f759,plain,
    ( spl6_18
    | spl6_11 ),
    inference(avatar_split_clause,[],[f668,f349,f756]) ).

fof(f668,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
    | unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2) ),
    inference(equality_resolution,[],[f338]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK2) = X0 ),
    inference(forward_demodulation,[],[f334,f25]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK2) = X0 ),
    inference(superposition,[],[f30,f34]) ).

fof(f34,plain,
    unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0)) = unordered_pair(unordered_pair(sK2,sK3),unordered_pair(sK2,sK2)),
    inference(definition_unfolding,[],[f21,f33,f33]) ).

fof(f33,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
    inference(definition_unfolding,[],[f26,f22]) ).

fof(f26,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f21,plain,
    ordered_pair(sK0,sK1) = ordered_pair(sK2,sK3),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1,X2,X3] :
      ( ( X1 != X3
        | X0 != X2 )
      & ordered_pair(X0,X1) = ordered_pair(X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
       => ( X1 = X3
          & X0 = X2 ) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
     => ( X1 = X3
        & X0 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f352,plain,
    ( spl6_10
    | spl6_11 ),
    inference(avatar_split_clause,[],[f343,f349,f345]) ).

fof(f343,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
    | unordered_pair(sK0,sK1) = unordered_pair(sK2,sK3) ),
    inference(equality_resolution,[],[f337]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK3) = X1 ),
    inference(forward_demodulation,[],[f330,f25]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0))
      | unordered_pair(sK2,sK3) = X0
      | unordered_pair(sK2,sK3) = X1 ),
    inference(superposition,[],[f30,f34]) ).

fof(f302,plain,
    ( spl6_1
    | ~ spl6_3
    | ~ spl6_5
    | ~ spl6_7 ),
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | spl6_1
    | ~ spl6_3
    | ~ spl6_5
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f266,f23]) ).

fof(f23,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f266,plain,
    ( ~ subset(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
    | spl6_1
    | ~ spl6_3
    | ~ spl6_5
    | ~ spl6_7 ),
    inference(superposition,[],[f202,f255]) ).

fof(f255,plain,
    ( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
    | ~ spl6_3 ),
    inference(equality_resolution,[],[f232]) ).

fof(f232,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
        | unordered_pair(sK2,sK2) = X0 )
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f223,f163]) ).

fof(f163,plain,
    ( unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0)
    | ~ spl6_3 ),
    inference(equality_resolution,[],[f150]) ).

fof(f150,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
        | X0 = X1 )
    | ~ spl6_3 ),
    inference(superposition,[],[f37,f111]) ).

fof(f111,plain,
    ( unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)) = unordered_pair(unordered_pair(sK2,sK2),unordered_pair(sK2,sK2))
    | ~ spl6_3 ),
    inference(superposition,[],[f52,f104]) ).

fof(f104,plain,
    ( unordered_pair(sK2,sK3) = unordered_pair(sK2,sK2)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f52,plain,
    unordered_pair(unordered_pair(sK2,sK2),unordered_pair(sK2,sK3)) = unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)),
    inference(forward_demodulation,[],[f48,f25]) ).

fof(f48,plain,
    unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0)) = unordered_pair(unordered_pair(sK2,sK2),unordered_pair(sK2,sK3)),
    inference(superposition,[],[f25,f34]) ).

fof(f223,plain,
    ( ! [X0,X1] :
        ( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
        | unordered_pair(sK2,sK2) = X0 )
    | ~ spl6_3 ),
    inference(superposition,[],[f38,f111]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( unordered_pair(X0,X0) != unordered_pair(X1,X2)
      | X0 = X1 ),
    inference(definition_unfolding,[],[f29,f22]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( singleton(X0) != unordered_pair(X1,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | singleton(X0) != unordered_pair(X1,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( singleton(X0) = unordered_pair(X1,X2)
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f202,plain,
    ( ~ subset(unordered_pair(sK2,sK2),unordered_pair(sK0,sK0))
    | spl6_1
    | ~ spl6_5
    | ~ spl6_7 ),
    inference(forward_demodulation,[],[f194,f122]) ).

fof(f194,plain,
    ( ~ subset(unordered_pair(sK3,sK3),unordered_pair(sK0,sK0))
    | spl6_1
    | ~ spl6_7 ),
    inference(superposition,[],[f91,f180]) ).

fof(f91,plain,
    ( ~ subset(unordered_pair(sK3,sK3),unordered_pair(sK1,sK1))
    | spl6_1 ),
    inference(extensionality_resolution,[],[f36,f42]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ subset(unordered_pair(X0,X0),unordered_pair(X1,X1))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f27,f22,f22]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ subset(singleton(X0),singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subset(singleton(X0),singleton(X1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( subset(singleton(X0),singleton(X1))
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f184,plain,
    ( spl6_7
    | spl6_8
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f169,f102,f182,f178]) ).

fof(f169,plain,
    ( ! [X0] :
        ( unordered_pair(X0,X0) != unordered_pair(sK0,sK0)
        | sK0 = sK1 )
    | ~ spl6_3 ),
    inference(superposition,[],[f37,f163]) ).

fof(f47,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f20,f44,f40]) ).

fof(f20,plain,
    ( sK0 != sK2
    | sK1 != sK3 ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU156+3 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri Jun 21 11:55:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.39  % (27169)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.21/0.41  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (27168)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.21/0.42  % (27168)Refutation not found, incomplete strategy% (27168)------------------------------
% 0.21/0.42  % (27168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (27168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (27168)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (27168)Memory used [KB]: 1126
% 0.21/0.42  % (27168)Time elapsed: 0.004 s
% 0.21/0.42  % (27168)Instructions burned: 3 (million)
% 0.21/0.42  % (27168)------------------------------
% 0.21/0.42  % (27168)------------------------------
% 0.21/0.42  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27172)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27171)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42  % (27172)Refutation not found, incomplete strategy% (27172)------------------------------
% 0.21/0.42  % (27172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (27172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (27172)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (27172)Memory used [KB]: 1082
% 0.21/0.42  % (27172)Time elapsed: 0.003 s
% 0.21/0.42  % (27172)Instructions burned: 2 (million)
% 0.21/0.42  % (27172)------------------------------
% 0.21/0.42  % (27172)------------------------------
% 0.21/0.42  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27170)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.21/0.42  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27174)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.42  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27173)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.45  % (27171)First to succeed.
% 0.21/0.45  % (27174)Also succeeded, but the first one will report.
% 0.21/0.45  % (27171)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27166"
% 0.21/0.45  % (27166)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45  % (27171)Refutation found. Thanks to Tanya!
% 0.21/0.45  % SZS status Theorem for theBenchmark
% 0.21/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45  % (27171)------------------------------
% 0.21/0.45  % (27171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (27171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (27171)Termination reason: Refutation
% 0.21/0.45  
% 0.21/0.45  % (27171)Memory used [KB]: 1260
% 0.21/0.45  % (27171)Time elapsed: 0.034 s
% 0.21/0.45  % (27171)Instructions burned: 55 (million)
% 0.21/0.45  % (27171)------------------------------
% 0.21/0.45  % (27171)------------------------------
% 0.21/0.45  % (27166)Success in time 0.102 s
%------------------------------------------------------------------------------