TSTP Solution File: SWW102+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW102+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n016.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 18:47:54 EDT 2024

% Result   : Theorem 1.39s 0.58s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  148 (  52 unt;   0 def)
%            Number of atoms       :  286 ( 131 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  250 ( 112   ~; 100   |;  19   &)
%                                         (  10 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   91 (  85   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1822,plain,
    $false,
    inference(avatar_sat_refutation,[],[f378,f447,f486,f529,f1801,f1815,f1821]) ).

fof(f1821,plain,
    ( ~ spl8_8
    | ~ spl8_23 ),
    inference(avatar_contradiction_clause,[],[f1820]) ).

fof(f1820,plain,
    ( $false
    | ~ spl8_8
    | ~ spl8_23 ),
    inference(subsumption_resolution,[],[f1819,f185]) ).

fof(f185,plain,
    true = not1(false1),
    inference(definition_unfolding,[],[f113,f112]) ).

fof(f112,plain,
    false = false1,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    false = false1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f113,plain,
    true = not1(false),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    true = not1(false),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1819,plain,
    ( true != not1(false1)
    | ~ spl8_8
    | ~ spl8_23 ),
    inference(forward_demodulation,[],[f1817,f255]) ).

fof(f255,plain,
    true = impl(false1,false1),
    inference(resolution,[],[f198,f222]) ).

fof(f222,plain,
    bool(false1),
    inference(equality_resolution,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( false1 != X0
      | bool(X0) ),
    inference(definition_unfolding,[],[f138,f112]) ).

fof(f138,plain,
    ! [X0] :
      ( false != X0
      | bool(X0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( bool(X0)
    <=> ( true = X0
        | false = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f198,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false1,X0) ),
    inference(definition_unfolding,[],[f133,f112]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false,X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( bool(X0)
     => true = impl(false,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1817,plain,
    ( not1(false1) != impl(false1,false1)
    | ~ spl8_8
    | ~ spl8_23 ),
    inference(backward_demodulation,[],[f539,f1780]) ).

fof(f1780,plain,
    ( false1 = sK0
    | ~ spl8_23 ),
    inference(avatar_component_clause,[],[f1778]) ).

fof(f1778,plain,
    ( spl8_23
  <=> false1 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).

fof(f539,plain,
    ( not1(sK0) != impl(sK0,false1)
    | ~ spl8_8 ),
    inference(backward_demodulation,[],[f184,f535]) ).

fof(f535,plain,
    ( false1 = false2
    | ~ spl8_8 ),
    inference(forward_demodulation,[],[f533,f263]) ).

fof(f263,plain,
    false1 = lazy_impl(true,false1),
    inference(resolution,[],[f250,f187]) ).

fof(f187,plain,
    d(false1),
    inference(definition_unfolding,[],[f116,f112]) ).

fof(f116,plain,
    d(false),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f250,plain,
    ! [X0] :
      ( ~ d(X0)
      | lazy_impl(true,X0) = X0 ),
    inference(forward_demodulation,[],[f195,f192]) ).

fof(f192,plain,
    ! [X0] : lazy_and1(true,X0) = lazy_impl(true,X0),
    inference(definition_unfolding,[],[f125,f124]) ).

fof(f124,plain,
    ! [X0] : phi(X0) = lazy_and1(true,X0),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] : phi(X0) = lazy_and1(true,X0),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] : phi(X3) = lazy_and1(true,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f125,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f195,plain,
    ! [X0] :
      ( lazy_and1(true,X0) = X0
      | ~ d(X0) ),
    inference(definition_unfolding,[],[f127,f124]) ).

fof(f127,plain,
    ! [X0] :
      ( phi(X0) = X0
      | ~ d(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( err = phi(X0)
        & ~ d(X0) )
      | ( phi(X0) = X0
        & d(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f533,plain,
    ( false2 = lazy_impl(true,false1)
    | ~ spl8_8 ),
    inference(superposition,[],[f532,f192]) ).

fof(f532,plain,
    ( false2 = lazy_and1(true,false1)
    | ~ spl8_8 ),
    inference(forward_demodulation,[],[f531,f263]) ).

fof(f531,plain,
    ( false2 = lazy_and1(true,lazy_impl(true,false1))
    | ~ spl8_8 ),
    inference(forward_demodulation,[],[f530,f232]) ).

fof(f232,plain,
    true = prop(false1),
    inference(resolution,[],[f142,f222]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = prop(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f530,plain,
    ( false2 = lazy_and1(true,lazy_impl(prop(false1),false1))
    | ~ spl8_8 ),
    inference(forward_demodulation,[],[f220,f373]) ).

fof(f373,plain,
    ( false1 = sK7
    | ~ spl8_8 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f371,plain,
    ( spl8_8
  <=> false1 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).

fof(f220,plain,
    false2 = lazy_and1(true,lazy_impl(prop(sK7),sK7)),
    inference(definition_unfolding,[],[f175,f124,f126]) ).

fof(f126,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f175,plain,
    false2 = phi(f7(sK7)),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ? [X0] :
      ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ? [X0] :
      ( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ? [X4] :
      ( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
      & false2 = phi(f7(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f184,plain,
    not1(sK0) != impl(sK0,false2),
    inference(definition_unfolding,[],[f111,f123]) ).

fof(f123,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X4] : not2(X4) = impl(X4,false2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f111,plain,
    not2(sK0) != not1(sK0),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ? [X0] : not2(X0) != not1(X0),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ ! [X0] : not2(X0) = not1(X0),
    inference(rectify,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X4] : not2(X4) = not1(X4),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X4] : not2(X4) = not1(X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1815,plain,
    ( spl8_23
    | spl8_22
    | ~ spl8_8 ),
    inference(avatar_split_clause,[],[f1811,f371,f1774,f1778]) ).

fof(f1774,plain,
    ( spl8_22
  <=> true = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).

fof(f1811,plain,
    ( true = sK0
    | false1 = sK0
    | ~ spl8_8 ),
    inference(resolution,[],[f1771,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = X0
      | false1 = X0 ),
    inference(definition_unfolding,[],[f137,f112]) ).

fof(f137,plain,
    ! [X0] :
      ( false = X0
      | true = X0
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1771,plain,
    ( bool(sK0)
    | ~ spl8_8 ),
    inference(trivial_inequality_removal,[],[f1745]) ).

fof(f1745,plain,
    ( true != true
    | bool(sK0)
    | ~ spl8_8 ),
    inference(superposition,[],[f143,f1742]) ).

fof(f1742,plain,
    ( true = prop(sK0)
    | ~ spl8_8 ),
    inference(subsumption_resolution,[],[f1735,f274]) ).

fof(f274,plain,
    ! [X0] :
      ( not1(X0) = lazy_impl(true,X0)
      | true = prop(X0) ),
    inference(resolution,[],[f264,f142]) ).

fof(f264,plain,
    ! [X0] :
      ( bool(X0)
      | not1(X0) = lazy_impl(true,X0) ),
    inference(forward_demodulation,[],[f196,f192]) ).

fof(f196,plain,
    ! [X0] :
      ( bool(X0)
      | not1(X0) = lazy_and1(true,X0) ),
    inference(definition_unfolding,[],[f130,f124]) ).

fof(f130,plain,
    ! [X0] :
      ( bool(X0)
      | phi(X0) = not1(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( phi(X0) = not1(X0)
      | bool(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ bool(X0)
     => phi(X0) = not1(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X2] :
      ( ~ bool(X2)
     => phi(X2) = not1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1735,plain,
    ( not1(sK0) != lazy_impl(true,sK0)
    | true = prop(sK0)
    | ~ spl8_8 ),
    inference(superposition,[],[f539,f575]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( lazy_impl(true,X0) = impl(X0,X1)
      | true = prop(X0) ),
    inference(resolution,[],[f317,f142]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( bool(X0)
      | lazy_impl(true,X0) = impl(X0,X1) ),
    inference(forward_demodulation,[],[f209,f192]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( bool(X0)
      | lazy_and1(true,X0) = impl(X0,X1) ),
    inference(definition_unfolding,[],[f153,f124]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( bool(X0)
      | phi(X0) = impl(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = impl(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f143,plain,
    ! [X0] :
      ( true != prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1801,plain,
    ( ~ spl8_8
    | ~ spl8_22 ),
    inference(avatar_contradiction_clause,[],[f1800]) ).

fof(f1800,plain,
    ( $false
    | ~ spl8_8
    | ~ spl8_22 ),
    inference(subsumption_resolution,[],[f1799,f186]) ).

fof(f186,plain,
    false1 = not1(true),
    inference(definition_unfolding,[],[f114,f112]) ).

fof(f114,plain,
    false = not1(true),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    false = not1(true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1799,plain,
    ( false1 != not1(true)
    | ~ spl8_8
    | ~ spl8_22 ),
    inference(forward_demodulation,[],[f1798,f247]) ).

fof(f247,plain,
    false1 = impl(true,false1),
    inference(resolution,[],[f136,f222]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ bool(X0)
      | impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( bool(X0)
     => impl(true,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1798,plain,
    ( not1(true) != impl(true,false1)
    | ~ spl8_8
    | ~ spl8_22 ),
    inference(backward_demodulation,[],[f539,f1776]) ).

fof(f1776,plain,
    ( true = sK0
    | ~ spl8_22 ),
    inference(avatar_component_clause,[],[f1774]) ).

fof(f529,plain,
    ~ spl8_7,
    inference(avatar_contradiction_clause,[],[f528]) ).

fof(f528,plain,
    ( $false
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f527,f226]) ).

fof(f226,plain,
    forallprefers(false1,true),
    inference(equality_resolution,[],[f225]) ).

fof(f225,plain,
    ! [X1] :
      ( true != X1
      | forallprefers(false1,X1) ),
    inference(equality_resolution,[],[f214]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( false1 != X0
      | true != X1
      | forallprefers(X0,X1) ),
    inference(definition_unfolding,[],[f160,f112]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( false != X0
      | true != X1
      | forallprefers(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | ( ( true != X1
          | false != X0 )
        & ( ~ bool(X1)
          | bool(X0)
          | ~ d(X1)
          | ~ d(X0) )
        & ( ~ d(X1)
          | d(X0) ) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( ( true = X1
          & false = X0 )
        | ( bool(X1)
          & ~ bool(X0)
          & d(X1)
          & d(X0) )
        | ( d(X1)
          & ~ d(X0) ) )
     => forallprefers(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
    <=> ( ( true = X1
          & false = X0 )
        | ( bool(X1)
          & ~ bool(X0)
          & d(X1)
          & d(X0) )
        | ( d(X1)
          & ~ d(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f527,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl8_7 ),
    inference(forward_demodulation,[],[f518,f263]) ).

fof(f518,plain,
    ( ~ forallprefers(lazy_impl(true,false1),true)
    | ~ spl8_7 ),
    inference(superposition,[],[f345,f232]) ).

fof(f345,plain,
    ( ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true)
    | ~ spl8_7 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f344,plain,
    ( spl8_7
  <=> ! [X0] : ~ forallprefers(lazy_impl(prop(X0),X0),true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

fof(f486,plain,
    ( spl8_1
    | spl8_7 ),
    inference(avatar_split_clause,[],[f485,f344,f288]) ).

fof(f288,plain,
    ( spl8_1
  <=> true = prop(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ forallprefers(lazy_impl(prop(X0),X0),true)
      | true = prop(sK7) ),
    inference(forward_demodulation,[],[f468,f191]) ).

fof(f191,plain,
    ! [X0] : true = lazy_impl(false1,X0),
    inference(definition_unfolding,[],[f122,f112]) ).

fof(f122,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f468,plain,
    ! [X0] :
      ( ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(false1,sK7))
      | true = prop(sK7) ),
    inference(superposition,[],[f219,f239]) ).

fof(f239,plain,
    ! [X0] :
      ( prop(X0) = false1
      | true = prop(X0) ),
    inference(resolution,[],[f203,f142]) ).

fof(f203,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = false1 ),
    inference(definition_unfolding,[],[f140,f112]) ).

fof(f140,plain,
    ! [X0] :
      ( bool(X0)
      | false = prop(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( false = prop(X0)
    <=> ~ bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f219,plain,
    ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK7),sK7)),
    inference(definition_unfolding,[],[f176,f126,f126]) ).

fof(f176,plain,
    ! [X1] : ~ forallprefers(f7(X1),f7(sK7)),
    inference(cnf_transformation,[],[f110]) ).

fof(f447,plain,
    ~ spl8_9,
    inference(avatar_contradiction_clause,[],[f446]) ).

fof(f446,plain,
    ( $false
    | ~ spl8_9 ),
    inference(subsumption_resolution,[],[f445,f226]) ).

fof(f445,plain,
    ( ~ forallprefers(false1,true)
    | ~ spl8_9 ),
    inference(forward_demodulation,[],[f444,f261]) ).

fof(f261,plain,
    true = lazy_impl(true,true),
    inference(resolution,[],[f250,f115]) ).

fof(f115,plain,
    d(true),
    inference(cnf_transformation,[],[f3]) ).

fof(f444,plain,
    ( ~ forallprefers(false1,lazy_impl(true,true))
    | ~ spl8_9 ),
    inference(forward_demodulation,[],[f443,f231]) ).

fof(f231,plain,
    true = prop(true),
    inference(resolution,[],[f142,f221]) ).

fof(f221,plain,
    bool(true),
    inference(equality_resolution,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( true != X0
      | bool(X0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f443,plain,
    ( ~ forallprefers(false1,lazy_impl(prop(true),true))
    | ~ spl8_9 ),
    inference(forward_demodulation,[],[f332,f377]) ).

fof(f377,plain,
    ( true = sK7
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f375,plain,
    ( spl8_9
  <=> true = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).

fof(f332,plain,
    ~ forallprefers(false1,lazy_impl(prop(sK7),sK7)),
    inference(forward_demodulation,[],[f320,f263]) ).

fof(f320,plain,
    ~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK7),sK7)),
    inference(superposition,[],[f219,f232]) ).

fof(f378,plain,
    ( spl8_8
    | spl8_9
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f369,f288,f375,f371]) ).

fof(f369,plain,
    ( true = sK7
    | false1 = sK7
    | ~ spl8_1 ),
    inference(resolution,[],[f361,f201]) ).

fof(f361,plain,
    ( bool(sK7)
    | ~ spl8_1 ),
    inference(trivial_inequality_removal,[],[f360]) ).

fof(f360,plain,
    ( true != true
    | bool(sK7)
    | ~ spl8_1 ),
    inference(superposition,[],[f143,f290]) ).

fof(f290,plain,
    ( true = prop(sK7)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem    : SWW102+1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.14  % Command    : run_vampire %s %d SAT
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Jun 19 07:02:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.21/0.38  Running first-order model finding
% 0.21/0.38  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20066)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20070)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20069)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20071)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20072)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20068)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.21/0.44  % (20065)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (20067)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.23/0.45  Detected minimum model sizes of [3]
% 0.23/0.45  Detected maximum model sizes of [max]
% 0.23/0.45  Detected minimum model sizes of [3]
% 0.23/0.45  Detected maximum model sizes of [max]
% 0.23/0.45  Detected minimum model sizes of [3]
% 0.23/0.45  Detected maximum model sizes of [max]
% 0.23/0.45  TRYING [3]
% 0.23/0.47  TRYING [4]
% 0.23/0.50  % (20070)Instruction limit reached!
% 0.23/0.50  % (20070)------------------------------
% 0.23/0.50  % (20070)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50  % (20070)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50  % (20070)Termination reason: Time limit
% 0.23/0.50  % (20070)Termination phase: Saturation
% 0.23/0.50  
% 0.23/0.50  % (20070)Memory used [KB]: 1622
% 0.23/0.50  % (20070)Time elapsed: 0.062 s
% 0.23/0.50  % (20070)Instructions burned: 105 (million)
% 0.23/0.51  % (20072)Instruction limit reached!
% 0.23/0.51  % (20072)------------------------------
% 0.23/0.51  % (20072)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (20072)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (20072)Termination reason: Time limit
% 0.23/0.51  % (20072)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (20072)Memory used [KB]: 2339
% 0.23/0.51  % (20072)Time elapsed: 0.072 s
% 0.23/0.51  % (20072)Instructions burned: 115 (million)
% 0.23/0.52  TRYING [10]
% 0.23/0.54  % (20071)Instruction limit reached!
% 0.23/0.54  % (20071)------------------------------
% 0.23/0.54  % (20071)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.54  % (20071)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.54  % (20071)Termination reason: Time limit
% 0.23/0.54  % (20071)Termination phase: Saturation
% 0.23/0.54  
% 0.23/0.54  % (20071)Memory used [KB]: 2320
% 0.23/0.54  % (20071)Time elapsed: 0.096 s
% 0.23/0.54  % (20071)Instructions burned: 146 (million)
% 0.23/0.54  TRYING [5]
% 1.26/0.55  % (20065)Running in auto input_syntax mode. Trying TPTP
% 1.26/0.55  % (20099)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.26/0.56  % (20065)Running in auto input_syntax mode. Trying TPTP
% 1.26/0.56  % (20104)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.39/0.57  % (20065)Running in auto input_syntax mode. Trying TPTP
% 1.39/0.57  % (20115)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.39/0.58  % (20099)First to succeed.
% 1.39/0.58  % (20099)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20065"
% 1.39/0.58  % (20065)Running in auto input_syntax mode. Trying TPTP
% 1.39/0.58  % (20099)Refutation found. Thanks to Tanya!
% 1.39/0.58  % SZS status Theorem for theBenchmark
% 1.39/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.58  % (20099)------------------------------
% 1.39/0.58  % (20099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.39/0.58  % (20099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.39/0.58  % (20099)Termination reason: Refutation
% 1.39/0.58  
% 1.39/0.58  % (20099)Memory used [KB]: 1442
% 1.39/0.58  % (20099)Time elapsed: 0.028 s
% 1.39/0.58  % (20099)Instructions burned: 77 (million)
% 1.39/0.58  % (20099)------------------------------
% 1.39/0.58  % (20099)------------------------------
% 1.39/0.58  % (20065)Success in time 0.189 s
%------------------------------------------------------------------------------