TSTP Solution File: SET352+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET352+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_uns --cores 0 -t %d %s

% 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 : Wed Aug 31 18:20:25 EDT 2022

% Result   : Theorem 1.56s 0.57s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   86 (   8 unt;   0 def)
%            Number of atoms       :  241 (  22 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  246 (  91   ~; 103   |;  30   &)
%                                         (  16 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  122 ( 110   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f156,plain,
    $false,
    inference(avatar_sat_refutation,[],[f98,f113,f127,f131,f133,f147,f155]) ).

fof(f155,plain,
    ( spl5_1
    | ~ spl5_4 ),
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f154,plain,
    ( $false
    | spl5_1
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f153,f134]) ).

fof(f134,plain,
    ( member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | spl5_1 ),
    inference(resolution,[],[f93,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | member(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ( member(sK4(X0,X1),X1)
          & ~ member(sK4(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f52,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & ~ member(X3,X0) )
     => ( member(sK4(X0,X1),X1)
        & ~ member(sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X3] :
            ( member(X3,X1)
            & ~ member(X3,X0) ) ) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X2] :
            ( member(X2,X1)
            & ~ member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ member(X2,X1)
          | member(X2,X0) )
    <=> subset(X1,X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
         => member(X2,X0) )
    <=> subset(X1,X0) ),
    inference(rectify,[],[f1]) ).

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

fof(f93,plain,
    ( ~ subset(sum(unordered_pair(sK0,sK1)),union(sK0,sK1))
    | spl5_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl5_1
  <=> subset(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f153,plain,
    ( ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | spl5_1
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f152,f138]) ).

fof(f138,plain,
    ( ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK1)
    | spl5_1 ),
    inference(resolution,[],[f135,f59]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,X1)
        | member(X0,X2)
        | ~ member(X0,union(X2,X1)) )
      & ( member(X0,union(X2,X1))
        | ( ~ member(X0,X1)
          & ~ member(X0,X2) ) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X0,X2,X1] :
      ( ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) )
      & ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) ) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X0,X2,X1] :
      ( ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) )
      & ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X2,X1] :
      ( ( member(X0,X2)
        | member(X0,X1) )
    <=> member(X0,union(X1,X2)) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X0)
        | member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f135,plain,
    ( ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),union(sK0,sK1))
    | spl5_1 ),
    inference(resolution,[],[f93,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | ~ member(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f152,plain,
    ( member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK1)
    | ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | ~ spl5_4 ),
    inference(superposition,[],[f68,f112]) ).

fof(f112,plain,
    ( sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1)) = sK1
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl5_4
  <=> sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1)) = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( member(X0,sK3(X0,X1))
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ( member(sK3(X0,X1),X1)
          & member(X0,sK3(X0,X1)) )
        | ~ member(X0,sum(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f43,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & member(X0,X3) )
     => ( member(sK3(X0,X1),X1)
        & member(X0,sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X3] :
            ( member(X3,X1)
            & member(X0,X3) )
        | ~ member(X0,sum(X1)) ) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X2] :
            ( member(X2,X1)
            & member(X0,X2) )
        | ~ member(X0,sum(X1)) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( member(X0,sum(X1))
    <=> ? [X2] :
          ( member(X2,X1)
          & member(X0,X2) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( member(X2,sum(X0))
    <=> ? [X4] :
          ( member(X2,X4)
          & member(X4,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum) ).

fof(f147,plain,
    ( spl5_1
    | ~ spl5_3 ),
    inference(avatar_contradiction_clause,[],[f146]) ).

fof(f146,plain,
    ( $false
    | spl5_1
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f145,f134]) ).

fof(f145,plain,
    ( ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | spl5_1
    | ~ spl5_3 ),
    inference(subsumption_resolution,[],[f144,f139]) ).

fof(f139,plain,
    ( ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK0)
    | spl5_1 ),
    inference(resolution,[],[f135,f58]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X2,X1))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f144,plain,
    ( member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK0)
    | ~ member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | ~ spl5_3 ),
    inference(superposition,[],[f68,f108]) ).

fof(f108,plain,
    ( sK0 = sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1))
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl5_3
  <=> sK0 = sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f133,plain,
    ( spl5_2
    | ~ spl5_5 ),
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f132,plain,
    ( $false
    | spl5_2
    | ~ spl5_5 ),
    inference(subsumption_resolution,[],[f130,f122]) ).

fof(f122,plain,
    ( member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK1)
    | ~ spl5_5 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl5_5
  <=> member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f130,plain,
    ( ~ member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK1)
    | spl5_2 ),
    inference(resolution,[],[f128,f87]) ).

fof(f87,plain,
    ! [X2,X1] : member(X2,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X2 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X1
          & X0 != X2 ) )
      & ( X0 = X1
        | X0 = X2
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X1
          & X0 != X2 ) )
      & ( X0 = X1
        | X0 = X2
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X1
        | X0 = X2 ) ),
    inference(rectify,[],[f9]) ).

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

fof(f128,plain,
    ( ! [X0] :
        ( ~ member(X0,unordered_pair(sK0,sK1))
        | ~ member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),X0) )
    | spl5_2 ),
    inference(resolution,[],[f116,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( member(X0,sum(X1))
      | ~ member(X0,X2)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f116,plain,
    ( ~ member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | spl5_2 ),
    inference(resolution,[],[f97,f78]) ).

fof(f97,plain,
    ( ~ subset(union(sK0,sK1),sum(unordered_pair(sK0,sK1)))
    | spl5_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl5_2
  <=> subset(union(sK0,sK1),sum(unordered_pair(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f131,plain,
    ( ~ spl5_6
    | spl5_2 ),
    inference(avatar_split_clause,[],[f129,f95,f124]) ).

fof(f124,plain,
    ( spl5_6
  <=> member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f129,plain,
    ( ~ member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK0)
    | spl5_2 ),
    inference(resolution,[],[f128,f86]) ).

fof(f86,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f75]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f127,plain,
    ( spl5_5
    | spl5_6
    | spl5_2 ),
    inference(avatar_split_clause,[],[f118,f95,f124,f120]) ).

fof(f118,plain,
    ( member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK0)
    | member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK1)
    | spl5_2 ),
    inference(resolution,[],[f115,f60]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X2,X1))
      | member(X0,X2)
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f115,plain,
    ( member(sK4(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),union(sK0,sK1))
    | spl5_2 ),
    inference(resolution,[],[f97,f79]) ).

fof(f113,plain,
    ( spl5_3
    | spl5_4
    | spl5_1 ),
    inference(avatar_split_clause,[],[f104,f91,f110,f106]) ).

fof(f104,plain,
    ( sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1)) = sK1
    | sK0 = sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1))
    | spl5_1 ),
    inference(resolution,[],[f103,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f103,plain,
    ( member(sK3(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),unordered_pair(sK0,sK1)),unordered_pair(sK0,sK1))
    | spl5_1 ),
    inference(resolution,[],[f99,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ member(X0,sum(X1))
      | member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f99,plain,
    ( member(sK4(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | spl5_1 ),
    inference(resolution,[],[f93,f79]) ).

fof(f98,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f89,f95,f91]) ).

fof(f89,plain,
    ( ~ subset(union(sK0,sK1),sum(unordered_pair(sK0,sK1)))
    | ~ subset(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)) ),
    inference(resolution,[],[f61,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X1,X0] :
      ( equal_set(X0,X1)
      | ~ subset(X0,X1)
      | ~ subset(X1,X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

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

fof(f61,plain,
    ~ equal_set(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ equal_set(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f33]) ).

fof(f33,plain,
    ( ? [X0,X1] : ~ equal_set(sum(unordered_pair(X0,X1)),union(X0,X1))
   => ~ equal_set(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ? [X0,X1] : ~ equal_set(sum(unordered_pair(X0,X1)),union(X0,X1)),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X1,X0] : equal_set(sum(unordered_pair(X0,X1)),union(X0,X1)),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X1,X0] : equal_set(sum(unordered_pair(X0,X1)),union(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET352+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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n016.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 14:04:31 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  % (25677)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (25669)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (25677)Refutation not found, incomplete strategy% (25677)------------------------------
% 0.19/0.51  % (25677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (25677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (25677)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (25677)Memory used [KB]: 5884
% 0.19/0.51  % (25677)Time elapsed: 0.004 s
% 0.19/0.51  % (25677)Instructions burned: 1 (million)
% 0.19/0.51  % (25677)------------------------------
% 0.19/0.51  % (25677)------------------------------
% 0.19/0.52  % (25668)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53  % (25668)Refutation not found, incomplete strategy% (25668)------------------------------
% 0.19/0.53  % (25668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (25668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (25668)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (25668)Memory used [KB]: 1407
% 0.19/0.53  % (25668)Time elapsed: 0.120 s
% 0.19/0.53  % (25668)Instructions burned: 2 (million)
% 0.19/0.53  % (25668)------------------------------
% 0.19/0.53  % (25668)------------------------------
% 1.31/0.53  % (25660)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.53  % (25658)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.53  % (25684)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.31/0.53  % (25658)Refutation not found, incomplete strategy% (25658)------------------------------
% 1.31/0.53  % (25658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53  % (25658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53  % (25658)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.53  
% 1.31/0.53  % (25658)Memory used [KB]: 5884
% 1.31/0.53  % (25658)Time elapsed: 0.133 s
% 1.31/0.53  % (25658)Instructions burned: 2 (million)
% 1.31/0.53  % (25658)------------------------------
% 1.31/0.53  % (25658)------------------------------
% 1.31/0.53  % (25659)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54  % (25659)Refutation not found, incomplete strategy% (25659)------------------------------
% 1.31/0.54  % (25659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (25659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (25659)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.54  
% 1.31/0.54  % (25659)Memory used [KB]: 5884
% 1.31/0.54  % (25659)Time elapsed: 0.002 s
% 1.31/0.54  % (25659)Instructions burned: 1 (million)
% 1.31/0.54  % (25659)------------------------------
% 1.31/0.54  % (25659)------------------------------
% 1.31/0.54  % (25670)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.54  % (25683)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.54  % (25670)Instruction limit reached!
% 1.31/0.54  % (25670)------------------------------
% 1.31/0.54  % (25670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (25670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (25670)Termination reason: Unknown
% 1.31/0.54  % (25670)Termination phase: Saturation
% 1.31/0.54  
% 1.31/0.54  % (25670)Memory used [KB]: 5884
% 1.31/0.54  % (25670)Time elapsed: 0.002 s
% 1.31/0.54  % (25670)Instructions burned: 3 (million)
% 1.31/0.54  % (25670)------------------------------
% 1.31/0.54  % (25670)------------------------------
% 1.31/0.54  % (25664)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.31/0.54  % (25656)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.31/0.54  % (25673)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.54  % (25662)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.31/0.54  % (25671)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.54  % (25661)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.31/0.54  % (25674)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.54  % (25674)Instruction limit reached!
% 1.31/0.54  % (25674)------------------------------
% 1.31/0.54  % (25674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (25674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (25674)Termination reason: Unknown
% 1.31/0.54  % (25674)Termination phase: Saturation
% 1.31/0.54  
% 1.31/0.54  % (25674)Memory used [KB]: 1407
% 1.31/0.54  % (25674)Time elapsed: 0.002 s
% 1.31/0.54  % (25674)Instructions burned: 2 (million)
% 1.31/0.54  % (25674)------------------------------
% 1.31/0.54  % (25674)------------------------------
% 1.31/0.54  % (25672)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.54  % (25675)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.31/0.54  % (25675)Refutation not found, incomplete strategy% (25675)------------------------------
% 1.31/0.54  % (25675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (25675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (25675)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.54  
% 1.31/0.54  % (25675)Memory used [KB]: 5884
% 1.31/0.54  % (25675)Time elapsed: 0.149 s
% 1.31/0.54  % (25675)Instructions burned: 1 (million)
% 1.31/0.54  % (25675)------------------------------
% 1.31/0.54  % (25675)------------------------------
% 1.31/0.54  % (25657)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.55  % (25657)Refutation not found, incomplete strategy% (25657)------------------------------
% 1.31/0.55  % (25657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (25657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55  % (25657)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.55  
% 1.31/0.55  % (25657)Memory used [KB]: 5884
% 1.31/0.55  % (25657)Time elapsed: 0.002 s
% 1.31/0.55  % (25657)Instructions burned: 1 (million)
% 1.31/0.55  % (25657)------------------------------
% 1.31/0.55  % (25657)------------------------------
% 1.31/0.55  % (25665)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.31/0.55  % (25665)Refutation not found, incomplete strategy% (25665)------------------------------
% 1.31/0.55  % (25665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (25678)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.56/0.55  % (25666)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.56/0.55  % (25667)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.56/0.55  % (25680)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.55  % (25682)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.55  % (25681)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.56/0.55  % (25685)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.56/0.55  % (25669)Instruction limit reached!
% 1.56/0.55  % (25669)------------------------------
% 1.56/0.55  % (25669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (25684)Refutation not found, incomplete strategy% (25684)------------------------------
% 1.56/0.55  % (25684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (25684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (25684)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55  
% 1.56/0.55  % (25684)Memory used [KB]: 5884
% 1.56/0.55  % (25684)Time elapsed: 0.145 s
% 1.56/0.55  % (25684)Instructions burned: 2 (million)
% 1.56/0.55  % (25684)------------------------------
% 1.56/0.55  % (25684)------------------------------
% 1.56/0.55  % (25667)Instruction limit reached!
% 1.56/0.55  % (25667)------------------------------
% 1.56/0.55  % (25667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (25667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (25667)Termination reason: Unknown
% 1.56/0.55  % (25667)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (25667)Memory used [KB]: 6012
% 1.56/0.55  % (25667)Time elapsed: 0.152 s
% 1.56/0.55  % (25667)Instructions burned: 7 (million)
% 1.56/0.55  % (25667)------------------------------
% 1.56/0.55  % (25667)------------------------------
% 1.56/0.55  % (25669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (25669)Termination reason: Unknown
% 1.56/0.55  % (25669)Termination phase: Saturation
% 1.56/0.55  
% 1.56/0.55  % (25669)Memory used [KB]: 7164
% 1.56/0.55  % (25669)Time elapsed: 0.135 s
% 1.56/0.55  % (25669)Instructions burned: 51 (million)
% 1.56/0.55  % (25669)------------------------------
% 1.56/0.55  % (25669)------------------------------
% 1.56/0.55  % (25679)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.56/0.56  % (25660)Instruction limit reached!
% 1.56/0.56  % (25660)------------------------------
% 1.56/0.56  % (25660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (25660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (25660)Termination reason: Unknown
% 1.56/0.56  % (25660)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (25660)Memory used [KB]: 6140
% 1.56/0.56  % (25660)Time elapsed: 0.155 s
% 1.56/0.56  % (25660)Instructions burned: 14 (million)
% 1.56/0.56  % (25660)------------------------------
% 1.56/0.56  % (25660)------------------------------
% 1.56/0.56  % (25676)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.56/0.56  % (25663)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.56/0.56  % (25665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (25665)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.56  
% 1.56/0.56  % (25665)Memory used [KB]: 5884
% 1.56/0.56  % (25665)Time elapsed: 0.148 s
% 1.56/0.56  % (25665)Instructions burned: 1 (million)
% 1.56/0.56  % (25665)------------------------------
% 1.56/0.56  % (25665)------------------------------
% 1.56/0.56  % (25673)Instruction limit reached!
% 1.56/0.56  % (25673)------------------------------
% 1.56/0.56  % (25673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (25664)Refutation not found, incomplete strategy% (25664)------------------------------
% 1.56/0.56  % (25664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (25664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (25664)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.56  
% 1.56/0.56  % (25664)Memory used [KB]: 5884
% 1.56/0.56  % (25664)Time elapsed: 0.165 s
% 1.56/0.56  % (25664)Instructions burned: 2 (million)
% 1.56/0.56  % (25664)------------------------------
% 1.56/0.56  % (25664)------------------------------
% 1.56/0.56  % (25673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (25673)Termination reason: Unknown
% 1.56/0.56  % (25673)Termination phase: Finite model building preprocessing
% 1.56/0.56  
% 1.56/0.56  % (25673)Memory used [KB]: 5884
% 1.56/0.56  % (25673)Time elapsed: 0.003 s
% 1.56/0.56  % (25673)Instructions burned: 4 (million)
% 1.56/0.56  % (25673)------------------------------
% 1.56/0.56  % (25673)------------------------------
% 1.56/0.56  % (25671)Instruction limit reached!
% 1.56/0.56  % (25671)------------------------------
% 1.56/0.56  % (25671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (25672)First to succeed.
% 1.56/0.57  % (25672)Refutation found. Thanks to Tanya!
% 1.56/0.57  % SZS status Theorem for theBenchmark
% 1.56/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57  % (25672)------------------------------
% 1.56/0.57  % (25672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (25672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (25672)Termination reason: Refutation
% 1.56/0.57  
% 1.56/0.57  % (25672)Memory used [KB]: 6140
% 1.56/0.57  % (25672)Time elapsed: 0.148 s
% 1.56/0.57  % (25672)Instructions burned: 5 (million)
% 1.56/0.57  % (25672)------------------------------
% 1.56/0.57  % (25672)------------------------------
% 1.56/0.57  % (25655)Success in time 0.207 s
%------------------------------------------------------------------------------