TSTP Solution File: SET707+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET707+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 : n013.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 18:25:24 EDT 2022

% Result   : Theorem 1.52s 0.57s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  105 (   9 unt;   0 def)
%            Number of atoms       :  293 (  87 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  316 ( 128   ~; 138   |;  28   &)
%                                         (  15 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  106 (  91   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f409,plain,
    $false,
    inference(avatar_sat_refutation,[],[f102,f143,f158,f178,f212,f247,f309,f327,f408]) ).

fof(f408,plain,
    ( ~ spl7_2
    | ~ spl7_3
    | spl7_4 ),
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_3
    | spl7_4 ),
    inference(subsumption_resolution,[],[f406,f377]) ).

fof(f377,plain,
    ( singleton(sK2) != unordered_pair(sK2,sK3)
    | ~ spl7_2
    | ~ spl7_3
    | spl7_4 ),
    inference(backward_demodulation,[],[f369,f371]) ).

fof(f371,plain,
    ( singleton(sK2) = unordered_pair(sK2,sK5)
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(forward_demodulation,[],[f138,f100]) ).

fof(f100,plain,
    ( sK2 = sK4
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl7_2
  <=> sK2 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f138,plain,
    ( singleton(sK2) = unordered_pair(sK4,sK5)
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl7_3
  <=> singleton(sK2) = unordered_pair(sK4,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f369,plain,
    ( unordered_pair(sK2,sK3) != unordered_pair(sK2,sK5)
    | ~ spl7_2
    | spl7_4 ),
    inference(forward_demodulation,[],[f141,f100]) ).

fof(f141,plain,
    ( unordered_pair(sK2,sK3) != unordered_pair(sK4,sK5)
    | spl7_4 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl7_4
  <=> unordered_pair(sK2,sK3) = unordered_pair(sK4,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f406,plain,
    ( singleton(sK2) = unordered_pair(sK2,sK3)
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(duplicate_literal_removal,[],[f404]) ).

fof(f404,plain,
    ( singleton(sK2) = unordered_pair(sK2,sK3)
    | singleton(sK2) = unordered_pair(sK2,sK3)
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(resolution,[],[f378,f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) )
      & ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) ) ),
    inference(rectify,[],[f43]) ).

fof(f43,plain,
    ! [X1,X0,X2] :
      ( ( X1 = X2
        | X0 = X1
        | ~ member(X1,unordered_pair(X0,X2)) )
      & ( member(X1,unordered_pair(X0,X2))
        | ( X1 != X2
          & X0 != X1 ) ) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X1,X0,X2] :
      ( ( X1 = X2
        | X0 = X1
        | ~ member(X1,unordered_pair(X0,X2)) )
      & ( member(X1,unordered_pair(X0,X2))
        | ( X1 != X2
          & X0 != X1 ) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X1,X0,X2] :
      ( ( X1 = X2
        | X0 = X1 )
    <=> member(X1,unordered_pair(X0,X2)) ),
    inference(rectify,[],[f9]) ).

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

fof(f378,plain,
    ( member(unordered_pair(sK2,sK3),unordered_pair(singleton(sK2),singleton(sK2)))
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(backward_demodulation,[],[f370,f371]) ).

fof(f370,plain,
    ( member(unordered_pair(sK2,sK3),unordered_pair(singleton(sK2),unordered_pair(sK2,sK5)))
    | ~ spl7_2 ),
    inference(forward_demodulation,[],[f131,f100]) ).

fof(f131,plain,
    member(unordered_pair(sK2,sK3),unordered_pair(singleton(sK4),unordered_pair(sK4,sK5))),
    inference(resolution,[],[f126,f104]) ).

fof(f104,plain,
    subset(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK4),unordered_pair(sK4,sK5))),
    inference(resolution,[],[f90,f75]) ).

fof(f75,plain,
    equal_set(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK4),unordered_pair(sK4,sK5))),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ( sK3 != sK5
      | sK2 != sK4 )
    & equal_set(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK4),unordered_pair(sK4,sK5))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f45,f46]) ).

fof(f46,plain,
    ( ? [X0,X1,X2,X3] :
        ( ( X1 != X3
          | X0 != X2 )
        & equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3))) )
   => ( ( sK3 != sK5
        | sK2 != sK4 )
      & equal_set(unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK4),unordered_pair(sK4,sK5))) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1,X2,X3] :
      ( ( X1 != X3
        | X0 != X2 )
      & equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3))) ),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ? [X1,X3,X0,X2] :
      ( ( X2 != X3
        | X0 != X1 )
      & equal_set(unordered_pair(singleton(X1),unordered_pair(X1,X3)),unordered_pair(singleton(X0),unordered_pair(X0,X2))) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X2,X3,X1,X0] :
        ( equal_set(unordered_pair(singleton(X1),unordered_pair(X1,X3)),unordered_pair(singleton(X0),unordered_pair(X0,X2)))
       => ( X2 = X3
          & X0 = X1 ) ),
    inference(rectify,[],[f13]) ).

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

fof(f12,conjecture,
    ! [X5,X0,X6,X1] :
      ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
     => ( X0 = X5
        & X1 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI50) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ equal_set(X1,X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
      | ~ equal_set(X1,X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( equal_set(X1,X0)
     => ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( equal_set(X1,X0)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(rectify,[],[f2]) ).

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

fof(f126,plain,
    ! [X14,X15,X13] :
      ( ~ subset(unordered_pair(X13,X14),X15)
      | member(X14,X15) ),
    inference(resolution,[],[f63,f92]) ).

fof(f92,plain,
    ! [X2,X1] : member(X2,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X2 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subset(X0,X1)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( ~ member(sK0(X0,X1),X1)
          & member(sK0(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ member(X3,X1)
          & member(X3,X0) )
     => ( ~ member(sK0(X0,X1),X1)
        & member(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( ~ member(X3,X1)
            & member(X3,X0) ) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) )
    <=> 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/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f327,plain,
    ( spl7_2
    | ~ spl7_5
    | ~ spl7_6 ),
    inference(avatar_contradiction_clause,[],[f326]) ).

fof(f326,plain,
    ( $false
    | spl7_2
    | ~ spl7_5
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f324,f224]) ).

fof(f224,plain,
    ( sK2 != sK3
    | spl7_2
    | ~ spl7_5 ),
    inference(superposition,[],[f101,f177]) ).

fof(f177,plain,
    ( sK4 = sK3
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl7_5
  <=> sK4 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f101,plain,
    ( sK2 != sK4
    | spl7_2 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f324,plain,
    ( sK2 = sK3
    | ~ spl7_6 ),
    inference(resolution,[],[f323,f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ member(X0,singleton(X1)) )
      & ( member(X0,singleton(X1))
        | X0 != X1 ) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ member(X1,singleton(X0)) )
      & ( member(X1,singleton(X0))
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( X0 = X1
    <=> member(X1,singleton(X0)) ),
    inference(rectify,[],[f8]) ).

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

fof(f323,plain,
    ( member(sK3,singleton(sK2))
    | ~ spl7_6 ),
    inference(superposition,[],[f91,f242]) ).

fof(f242,plain,
    ( singleton(sK2) = singleton(sK3)
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl7_6
  <=> singleton(sK2) = singleton(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f91,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f309,plain,
    ( spl7_2
    | ~ spl7_5
    | ~ spl7_7 ),
    inference(avatar_contradiction_clause,[],[f308]) ).

fof(f308,plain,
    ( $false
    | spl7_2
    | ~ spl7_5
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f306,f224]) ).

fof(f306,plain,
    ( sK2 = sK3
    | ~ spl7_7 ),
    inference(resolution,[],[f304,f65]) ).

fof(f304,plain,
    ( member(sK2,singleton(sK3))
    | ~ spl7_7 ),
    inference(superposition,[],[f93,f246]) ).

fof(f246,plain,
    ( unordered_pair(sK2,sK3) = singleton(sK3)
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl7_7
  <=> unordered_pair(sK2,sK3) = singleton(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f93,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f247,plain,
    ( spl7_6
    | spl7_7
    | ~ spl7_4
    | ~ spl7_5 ),
    inference(avatar_split_clause,[],[f237,f175,f140,f244,f240]) ).

fof(f237,plain,
    ( unordered_pair(sK2,sK3) = singleton(sK3)
    | singleton(sK2) = singleton(sK3)
    | ~ spl7_4
    | ~ spl7_5 ),
    inference(resolution,[],[f233,f74]) ).

fof(f233,plain,
    ( member(singleton(sK3),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)))
    | ~ spl7_4
    | ~ spl7_5 ),
    inference(resolution,[],[f216,f127]) ).

fof(f127,plain,
    ! [X18,X16,X17] :
      ( ~ subset(unordered_pair(X16,X17),X18)
      | member(X16,X18) ),
    inference(resolution,[],[f63,f93]) ).

fof(f216,plain,
    ( subset(unordered_pair(singleton(sK3),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)))
    | ~ spl7_4
    | ~ spl7_5 ),
    inference(backward_demodulation,[],[f164,f177]) ).

fof(f164,plain,
    ( subset(unordered_pair(singleton(sK4),unordered_pair(sK2,sK3)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3)))
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f103,f142]) ).

fof(f142,plain,
    ( unordered_pair(sK2,sK3) = unordered_pair(sK4,sK5)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f103,plain,
    subset(unordered_pair(singleton(sK4),unordered_pair(sK4,sK5)),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),
    inference(resolution,[],[f89,f75]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ equal_set(X1,X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f212,plain,
    ( spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(subsumption_resolution,[],[f210,f190]) ).

fof(f190,plain,
    ( sK2 != sK3
    | spl7_1
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f97,f189]) ).

fof(f189,plain,
    ( sK2 = sK5
    | spl7_1
    | ~ spl7_4 ),
    inference(subsumption_resolution,[],[f187,f97]) ).

fof(f187,plain,
    ( sK2 = sK5
    | sK3 = sK5
    | ~ spl7_4 ),
    inference(resolution,[],[f171,f74]) ).

fof(f171,plain,
    ( member(sK5,unordered_pair(sK2,sK3))
    | ~ spl7_4 ),
    inference(superposition,[],[f92,f142]) ).

fof(f97,plain,
    ( sK3 != sK5
    | spl7_1 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl7_1
  <=> sK3 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f210,plain,
    ( sK2 = sK3
    | spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ( sK2 = sK3
    | sK2 = sK3
    | spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(resolution,[],[f205,f74]) ).

fof(f205,plain,
    ( member(sK3,unordered_pair(sK2,sK2))
    | spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(superposition,[],[f92,f194]) ).

fof(f194,plain,
    ( unordered_pair(sK2,sK3) = unordered_pair(sK2,sK2)
    | spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f180,f189]) ).

fof(f180,plain,
    ( unordered_pair(sK2,sK3) = unordered_pair(sK2,sK5)
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(backward_demodulation,[],[f142,f100]) ).

fof(f178,plain,
    ( spl7_5
    | spl7_2
    | ~ spl7_4 ),
    inference(avatar_split_clause,[],[f172,f140,f99,f175]) ).

fof(f172,plain,
    ( sK2 = sK4
    | sK4 = sK3
    | ~ spl7_4 ),
    inference(resolution,[],[f170,f74]) ).

fof(f170,plain,
    ( member(sK4,unordered_pair(sK2,sK3))
    | ~ spl7_4 ),
    inference(superposition,[],[f93,f142]) ).

fof(f158,plain,
    ( spl7_2
    | ~ spl7_3 ),
    inference(avatar_split_clause,[],[f156,f136,f99]) ).

fof(f156,plain,
    ( sK2 = sK4
    | ~ spl7_3 ),
    inference(resolution,[],[f154,f65]) ).

fof(f154,plain,
    ( member(sK4,singleton(sK2))
    | ~ spl7_3 ),
    inference(superposition,[],[f93,f138]) ).

fof(f143,plain,
    ( spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f133,f140,f136]) ).

fof(f133,plain,
    ( unordered_pair(sK2,sK3) = unordered_pair(sK4,sK5)
    | singleton(sK2) = unordered_pair(sK4,sK5) ),
    inference(resolution,[],[f130,f74]) ).

fof(f130,plain,
    member(unordered_pair(sK4,sK5),unordered_pair(singleton(sK2),unordered_pair(sK2,sK3))),
    inference(resolution,[],[f126,f103]) ).

fof(f102,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f76,f99,f95]) ).

fof(f76,plain,
    ( sK2 != sK4
    | sK3 != sK5 ),
    inference(cnf_transformation,[],[f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET707+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 15:34:17 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (31827)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)
% 0.19/0.49  % (31814)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)
% 0.19/0.50  % (31801)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)
% 0.19/0.50  % (31806)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)
% 0.19/0.50  % (31801)Refutation not found, incomplete strategy% (31801)------------------------------
% 0.19/0.50  % (31801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (31801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (31801)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (31801)Memory used [KB]: 5500
% 0.19/0.50  % (31801)Time elapsed: 0.102 s
% 0.19/0.50  % (31801)Instructions burned: 3 (million)
% 0.19/0.50  % (31801)------------------------------
% 0.19/0.50  % (31801)------------------------------
% 0.19/0.50  % (31812)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  % (31809)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)
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (31816)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)
% 0.19/0.50  % (31813)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (31824)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (31811)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)
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (31800)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)
% 0.19/0.52  % (31820)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)
% 0.19/0.52  % (31829)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (31804)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (31810)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (31803)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)
% 0.19/0.52  % (31805)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)
% 1.40/0.52  % (31823)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)
% 1.40/0.53  % (31802)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)
% 1.40/0.53  % (31815)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)
% 1.40/0.53  % (31808)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.53  % (31819)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)
% 1.40/0.53  % (31808)Instruction limit reached!
% 1.40/0.53  % (31808)------------------------------
% 1.40/0.53  % (31808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (31808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (31808)Termination reason: Unknown
% 1.40/0.53  % (31808)Termination phase: Saturation
% 1.40/0.53  
% 1.40/0.53  % (31808)Memory used [KB]: 5373
% 1.40/0.53  % (31808)Time elapsed: 0.002 s
% 1.40/0.53  % (31808)Instructions burned: 3 (million)
% 1.40/0.53  % (31808)------------------------------
% 1.40/0.53  % (31808)------------------------------
% 1.40/0.53  % (31830)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)
% 1.40/0.53  % (31825)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.53  % (31828)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)
% 1.40/0.54  % (31822)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)
% 1.40/0.54  % (31807)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.54  % (31817)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.54  % (31807)Instruction limit reached!
% 1.52/0.54  % (31807)------------------------------
% 1.52/0.54  % (31807)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54  % (31807)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54  % (31807)Termination reason: Unknown
% 1.52/0.54  % (31807)Termination phase: Saturation
% 1.52/0.54  
% 1.52/0.54  % (31807)Memory used [KB]: 5500
% 1.52/0.54  % (31807)Time elapsed: 0.143 s
% 1.52/0.54  % (31807)Instructions burned: 7 (million)
% 1.52/0.54  % (31807)------------------------------
% 1.52/0.54  % (31807)------------------------------
% 1.52/0.54  % (31818)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.54  TRYING [1]
% 1.52/0.54  TRYING [2]
% 1.52/0.54  % (31821)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.52/0.54  TRYING [5]
% 1.52/0.54  TRYING [3]
% 1.52/0.54  TRYING [4]
% 1.52/0.55  % (31806)Instruction limit reached!
% 1.52/0.55  % (31806)------------------------------
% 1.52/0.55  % (31806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55  % (31806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55  % (31806)Termination reason: Unknown
% 1.52/0.55  % (31806)Termination phase: Finite model building constraint generation
% 1.52/0.55  
% 1.52/0.55  % (31806)Memory used [KB]: 7291
% 1.52/0.55  % (31806)Time elapsed: 0.097 s
% 1.52/0.55  % (31806)Instructions burned: 52 (million)
% 1.52/0.55  % (31806)------------------------------
% 1.52/0.55  % (31806)------------------------------
% 1.52/0.57  TRYING [4]
% 1.52/0.57  % (31820)First to succeed.
% 1.52/0.57  % (31820)Refutation found. Thanks to Tanya!
% 1.52/0.57  % SZS status Theorem for theBenchmark
% 1.52/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.57  % (31820)------------------------------
% 1.52/0.57  % (31820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57  % (31820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (31820)Termination reason: Refutation
% 1.52/0.57  
% 1.52/0.57  % (31820)Memory used [KB]: 5628
% 1.52/0.57  % (31820)Time elapsed: 0.163 s
% 1.52/0.57  % (31820)Instructions burned: 15 (million)
% 1.52/0.57  % (31820)------------------------------
% 1.52/0.57  % (31820)------------------------------
% 1.52/0.57  % (31799)Success in time 0.223 s
%------------------------------------------------------------------------------