TSTP Solution File: SET352+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET352+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 : Sun May  5 09:05:45 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   84 (   8 unt;   0 def)
%            Number of atoms       :  232 (  22 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  236 (  88   ~; 100   |;  28   &)
%                                         (  15 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :  116 ( 104   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f180,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f95,f113,f141,f142,f167,f179]) ).

fof(f179,plain,
    ( spl4_1
    | ~ spl4_4 ),
    inference(avatar_contradiction_clause,[],[f178]) ).

fof(f178,plain,
    ( $false
    | spl4_1
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f177,f145]) ).

fof(f145,plain,
    ( member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | spl4_1 ),
    inference(resolution,[],[f68,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK3(X0,X1),X1)
          & member(sK3(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f36,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK3(X0,X1),X1)
        & member(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485',subset) ).

fof(f68,plain,
    ( ~ subset(sum(unordered_pair(sK0,sK1)),union(sK0,sK1))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl4_1
  <=> subset(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f177,plain,
    ( ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | spl4_1
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f176,f151]) ).

fof(f151,plain,
    ( ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK0)
    | spl4_1 ),
    inference(resolution,[],[f144,f42]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X2)
          & ~ member(X0,X1) ) )
      & ( member(X0,X2)
        | member(X0,X1)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( member(X0,union(X1,X2))
    <=> ( member(X0,X2)
        | member(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485',union) ).

fof(f144,plain,
    ( ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),union(sK0,sK1))
    | spl4_1 ),
    inference(resolution,[],[f68,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f176,plain,
    ( member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK0)
    | ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | ~ spl4_4 ),
    inference(superposition,[],[f49,f94]) ).

fof(f94,plain,
    ( sK0 = sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1))
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl4_4
  <=> sK0 = sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( member(X0,sK2(X0,X1))
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ( member(X0,sK2(X0,X1))
          & member(sK2(X0,X1),X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f31,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X0,X3)
          & member(X3,X1) )
     => ( member(X0,sK2(X0,X1))
        & member(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f30,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X0,X2)
            | ~ member(X2,X1) ) )
      & ( ? [X2] :
            ( member(X0,X2)
            & member(X2,X1) )
        | ~ member(X0,sum(X1)) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( member(X0,sum(X1))
    <=> ? [X2] :
          ( member(X0,X2)
          & member(X2,X1) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2,X0] :
      ( member(X2,sum(X0))
    <=> ? [X4] :
          ( member(X2,X4)
          & member(X4,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485',sum) ).

fof(f167,plain,
    ( spl4_1
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f166]) ).

fof(f166,plain,
    ( $false
    | spl4_1
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f165,f145]) ).

fof(f165,plain,
    ( ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | spl4_1
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f164,f150]) ).

fof(f150,plain,
    ( ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK1)
    | spl4_1 ),
    inference(resolution,[],[f144,f43]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f164,plain,
    ( member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sK1)
    | ~ member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | ~ spl4_3 ),
    inference(superposition,[],[f49,f90]) ).

fof(f90,plain,
    ( sK1 = sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl4_3
  <=> sK1 = sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f142,plain,
    ( ~ spl4_6
    | spl4_2 ),
    inference(avatar_split_clause,[],[f136,f70,f110]) ).

fof(f110,plain,
    ( spl4_6
  <=> member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f70,plain,
    ( spl4_2
  <=> subset(union(sK0,sK1),sum(unordered_pair(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f136,plain,
    ( ~ member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK0)
    | spl4_2 ),
    inference(resolution,[],[f130,f59]) ).

fof(f59,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) )
      & ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) )
      & ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X2
        | X0 = X1 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( X1 = X2
        | X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485',unordered_pair) ).

fof(f130,plain,
    ( ! [X0] :
        ( ~ member(X0,unordered_pair(sK0,sK1))
        | ~ member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),X0) )
    | spl4_2 ),
    inference(resolution,[],[f98,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( member(X0,sum(X1))
      | ~ member(X0,X2)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f98,plain,
    ( ~ member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sum(unordered_pair(sK0,sK1)))
    | spl4_2 ),
    inference(resolution,[],[f72,f55]) ).

fof(f72,plain,
    ( ~ subset(union(sK0,sK1),sum(unordered_pair(sK0,sK1)))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f141,plain,
    ( spl4_2
    | ~ spl4_5 ),
    inference(avatar_contradiction_clause,[],[f140]) ).

fof(f140,plain,
    ( $false
    | spl4_2
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f135,f108]) ).

fof(f108,plain,
    ( member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK1)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl4_5
  <=> member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f135,plain,
    ( ~ member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK1)
    | spl4_2 ),
    inference(resolution,[],[f130,f58]) ).

fof(f58,plain,
    ! [X2,X1] : member(X2,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f113,plain,
    ( spl4_5
    | spl4_6
    | spl4_2 ),
    inference(avatar_split_clause,[],[f104,f70,f110,f106]) ).

fof(f104,plain,
    ( member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK0)
    | member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),sK1)
    | spl4_2 ),
    inference(resolution,[],[f99,f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X1)
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f99,plain,
    ( member(sK3(union(sK0,sK1),sum(unordered_pair(sK0,sK1))),union(sK0,sK1))
    | spl4_2 ),
    inference(resolution,[],[f72,f54]) ).

fof(f95,plain,
    ( spl4_3
    | spl4_4
    | spl4_1 ),
    inference(avatar_split_clause,[],[f86,f66,f92,f88]) ).

fof(f86,plain,
    ( sK0 = sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1))
    | sK1 = sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1))
    | spl4_1 ),
    inference(resolution,[],[f45,f81]) ).

fof(f81,plain,
    ( member(sK2(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),unordered_pair(sK0,sK1)),unordered_pair(sK0,sK1))
    | spl4_1 ),
    inference(resolution,[],[f75,f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ member(X0,sum(X1))
      | member(sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f75,plain,
    ( member(sK3(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),sum(unordered_pair(sK0,sK1)))
    | spl4_1 ),
    inference(resolution,[],[f68,f54]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f73,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f64,f70,f66]) ).

fof(f64,plain,
    ( ~ subset(union(sK0,sK1),sum(unordered_pair(sK0,sK1)))
    | ~ subset(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)) ),
    inference(resolution,[],[f44,f40]) ).

fof(f40,plain,
    ~ equal_set(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ~ equal_set(sum(unordered_pair(sK0,sK1)),union(sK0,sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f24]) ).

fof(f24,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(f20,plain,
    ? [X0,X1] : ~ equal_set(sum(unordered_pair(X0,X1)),union(X0,X1)),
    inference(ennf_transformation,[],[f13]) ).

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

fof(f12,conjecture,
    ! [X0,X1] : equal_set(sum(unordered_pair(X0,X1)),union(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485',thI40) ).

fof(f44,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
     => equal_set(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485',equal_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET352+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n010.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 16:20:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.HXuJjxfPB4/Vampire---4.8_14485
% 0.60/0.75  % (14757)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.75  % (14759)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (14761)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.60/0.75  % (14762)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.60/0.75  % (14758)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.60/0.75  % (14763)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.60/0.75  % (14764)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.75  % (14760)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.60/0.75  % (14762)Refutation not found, incomplete strategy% (14762)------------------------------
% 0.60/0.75  % (14762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (14762)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (14762)Memory used [KB]: 967
% 0.60/0.75  % (14762)Time elapsed: 0.003 s
% 0.60/0.75  % (14762)Instructions burned: 2 (million)
% 0.60/0.75  % (14761)Refutation not found, incomplete strategy% (14761)------------------------------
% 0.60/0.75  % (14761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (14761)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (14761)Memory used [KB]: 1036
% 0.60/0.75  % (14761)Time elapsed: 0.003 s
% 0.60/0.75  % (14761)Instructions burned: 3 (million)
% 0.60/0.75  % (14764)Refutation not found, incomplete strategy% (14764)------------------------------
% 0.60/0.75  % (14764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (14764)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75  
% 0.60/0.75  % (14764)Memory used [KB]: 981
% 0.60/0.75  % (14764)Time elapsed: 0.003 s
% 0.60/0.75  % (14764)Instructions burned: 2 (million)
% 0.60/0.75  % (14762)------------------------------
% 0.60/0.75  % (14762)------------------------------
% 0.60/0.75  % (14761)------------------------------
% 0.60/0.75  % (14761)------------------------------
% 0.60/0.75  % (14764)------------------------------
% 0.60/0.75  % (14764)------------------------------
% 0.60/0.75  % (14765)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.60/0.75  % (14766)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.75  % (14759)First to succeed.
% 0.60/0.75  % (14757)Instruction limit reached!
% 0.60/0.75  % (14757)------------------------------
% 0.60/0.75  % (14757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (14757)Termination reason: Unknown
% 0.60/0.75  % (14757)Termination phase: Saturation
% 0.60/0.75  
% 0.60/0.75  % (14757)Memory used [KB]: 1198
% 0.60/0.75  % (14757)Time elapsed: 0.010 s
% 0.60/0.75  % (14757)Instructions burned: 37 (million)
% 0.60/0.75  % (14757)------------------------------
% 0.60/0.75  % (14757)------------------------------
% 0.60/0.75  % (14759)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14747"
% 0.60/0.76  % (14767)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.76  % (14759)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (14759)------------------------------
% 0.60/0.76  % (14759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (14759)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (14759)Memory used [KB]: 1086
% 0.60/0.76  % (14759)Time elapsed: 0.010 s
% 0.60/0.76  % (14759)Instructions burned: 13 (million)
% 0.60/0.76  % (14747)Success in time 0.387 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------