TSTP Solution File: SEU266+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU266+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 09:21:40 EDT 2024

% Result   : Theorem 0.64s 0.82s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  112 (  10 unt;   0 def)
%            Number of atoms       :  283 (  28 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  297 ( 126   ~; 134   |;   7   &)
%                                         (  18 <=>;  10  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  10 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :  149 ( 142   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1159,plain,
    $false,
    inference(avatar_sat_refutation,[],[f98,f102,f107,f154,f256,f284,f344,f1029,f1095,f1127,f1158]) ).

fof(f1158,plain,
    ( ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7 ),
    inference(avatar_contradiction_clause,[],[f1157]) ).

fof(f1157,plain,
    ( $false
    | ~ spl15_3
    | ~ spl15_4
    | ~ spl15_7 ),
    inference(subsumption_resolution,[],[f422,f106]) ).

fof(f106,plain,
    ( in(sK3,sK1)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl15_4
  <=> in(sK3,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f422,plain,
    ( ~ in(sK3,sK1)
    | ~ spl15_3
    | ~ spl15_7 ),
    inference(resolution,[],[f153,f156]) ).

fof(f156,plain,
    ( ~ sP12(sK3,sK2)
    | ~ spl15_3 ),
    inference(unit_resulting_resolution,[],[f101,f79]) ).

fof(f79,plain,
    ! [X2,X0] :
      ( in(ordered_pair(sK13(X0,X2),X2),X0)
      | ~ sP12(X2,X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',d5_relat_1) ).

fof(f101,plain,
    ( ! [X4] : ~ in(ordered_pair(X4,sK3),sK2)
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl15_3
  <=> ! [X4] : ~ in(ordered_pair(X4,sK3),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f153,plain,
    ( ! [X0] :
        ( sP12(X0,sK2)
        | ~ in(X0,sK1) )
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl15_7
  <=> ! [X0] :
        ( ~ in(X0,sK1)
        | sP12(X0,sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f1127,plain,
    ( spl15_2
    | ~ spl15_12
    | ~ spl15_16 ),
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1126,plain,
    ( $false
    | spl15_2
    | ~ spl15_12
    | ~ spl15_16 ),
    inference(subsumption_resolution,[],[f1125,f1074]) ).

fof(f1074,plain,
    ( ! [X0] : ~ in(X0,relation_rng(sK2))
    | ~ spl15_16 ),
    inference(unit_resulting_resolution,[],[f283,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ sP14(X1) ),
    inference(general_splitting,[],[f73,f89_D]) ).

fof(f89,plain,
    ! [X2,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ empty(X2)
      | sP14(X1) ),
    inference(cnf_transformation,[],[f89_D]) ).

fof(f89_D,plain,
    ! [X1] :
      ( ! [X2] :
          ( ~ element(X1,powerset(X2))
          | ~ empty(X2) )
    <=> ~ sP14(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X2))
      | ~ empty(X2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',t5_subset) ).

fof(f283,plain,
    ( sP14(relation_rng(sK2))
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl15_16
  <=> sP14(relation_rng(sK2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f1125,plain,
    ( in(sK5(relation_rng(sK2),sK1),relation_rng(sK2))
    | spl15_2
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f1100,f126]) ).

fof(f126,plain,
    relation_rng_as_subset(sK0,sK1,sK2) = relation_rng(sK2),
    inference(resolution,[],[f119,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2(X2,X0,X1)
      | relation_rng_as_subset(X0,X1,X2) = relation_rng(X2) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( relation_rng_as_subset(X0,X1,X2) = relation_rng(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => relation_rng_as_subset(X0,X1,X2) = relation_rng(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',redefinition_k5_relset_1) ).

fof(f119,plain,
    relation_of2(sK2,sK0,sK1),
    inference(unit_resulting_resolution,[],[f59,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',redefinition_m2_relset_1) ).

fof(f59,plain,
    relation_of2_as_subset(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( ( ! [X3] :
            ( ? [X4] : in(ordered_pair(X4,X3),X2)
            | ~ in(X3,X1) )
      <~> relation_rng_as_subset(X0,X1,X2) = X1 )
      & relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation_of2_as_subset(X2,X0,X1)
       => ( ! [X3] :
              ~ ( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
                & in(X3,X1) )
        <=> relation_rng_as_subset(X0,X1,X2) = X1 ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( ! [X3] :
            ~ ( ! [X4] : ~ in(ordered_pair(X4,X3),X2)
              & in(X3,X1) )
      <=> relation_rng_as_subset(X0,X1,X2) = X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',t23_relset_1) ).

fof(f1100,plain,
    ( in(sK5(relation_rng_as_subset(sK0,sK1,sK2),sK1),relation_rng_as_subset(sK0,sK1,sK2))
    | spl15_2
    | ~ spl15_12 ),
    inference(unit_resulting_resolution,[],[f96,f263,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X1)
      | in(sK5(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',t2_tarski) ).

fof(f263,plain,
    ( ! [X0] : ~ in(X0,sK1)
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl15_12
  <=> ! [X0] : ~ in(X0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f96,plain,
    ( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
    | spl15_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl15_2
  <=> sK1 = relation_rng_as_subset(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f1095,plain,
    ( spl15_12
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f1083,f273,f262]) ).

fof(f273,plain,
    ( spl15_14
  <=> empty(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f1083,plain,
    ( ! [X0] : ~ in(X0,sK1)
    | ~ spl15_14 ),
    inference(unit_resulting_resolution,[],[f274,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',t7_boole) ).

fof(f274,plain,
    ( empty(sK1)
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f1029,plain,
    ( spl15_2
    | ~ spl15_5
    | ~ spl15_7
    | spl15_14 ),
    inference(avatar_contradiction_clause,[],[f1028]) ).

fof(f1028,plain,
    ( $false
    | spl15_2
    | ~ spl15_5
    | ~ spl15_7
    | spl15_14 ),
    inference(subsumption_resolution,[],[f1026,f1009]) ).

fof(f1009,plain,
    ( ~ in(sK5(sK1,relation_rng(sK2)),relation_rng(sK2))
    | spl15_2
    | spl15_14 ),
    inference(unit_resulting_resolution,[],[f398,f1008,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X0)
      | ~ in(sK5(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f1008,plain,
    ( in(sK5(sK1,relation_rng(sK2)),sK1)
    | spl15_2
    | spl15_14 ),
    inference(subsumption_resolution,[],[f1005,f398]) ).

fof(f1005,plain,
    ( in(sK5(sK1,relation_rng(sK2)),sK1)
    | sK1 = relation_rng(sK2)
    | spl15_14 ),
    inference(factoring,[],[f726]) ).

fof(f726,plain,
    ( ! [X0] :
        ( in(sK5(X0,relation_rng(sK2)),X0)
        | in(sK5(X0,relation_rng(sK2)),sK1)
        | relation_rng(sK2) = X0 )
    | spl15_14 ),
    inference(subsumption_resolution,[],[f717,f275]) ).

fof(f275,plain,
    ( ~ empty(sK1)
    | spl15_14 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f717,plain,
    ! [X0] :
      ( in(sK5(X0,relation_rng(sK2)),X0)
      | relation_rng(sK2) = X0
      | empty(sK1)
      | in(sK5(X0,relation_rng(sK2)),sK1) ),
    inference(resolution,[],[f477,f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | empty(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',t2_subset) ).

fof(f477,plain,
    ! [X0] :
      ( element(sK5(X0,relation_rng(sK2)),sK1)
      | in(sK5(X0,relation_rng(sK2)),X0)
      | relation_rng(sK2) = X0 ),
    inference(resolution,[],[f176,f61]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ in(X0,relation_rng(sK2))
      | element(X0,sK1) ),
    inference(resolution,[],[f175,f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',t4_subset) ).

fof(f175,plain,
    element(relation_rng(sK2),powerset(sK1)),
    inference(forward_demodulation,[],[f123,f126]) ).

fof(f123,plain,
    element(relation_rng_as_subset(sK0,sK1,sK2),powerset(sK1)),
    inference(unit_resulting_resolution,[],[f119,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( element(relation_rng_as_subset(X0,X1,X2),powerset(X1))
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( element(relation_rng_as_subset(X0,X1,X2),powerset(X1))
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => element(relation_rng_as_subset(X0,X1,X2),powerset(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',dt_k5_relset_1) ).

fof(f398,plain,
    ( sK1 != relation_rng(sK2)
    | spl15_2 ),
    inference(superposition,[],[f96,f126]) ).

fof(f1026,plain,
    ( in(sK5(sK1,relation_rng(sK2)),relation_rng(sK2))
    | spl15_2
    | ~ spl15_5
    | ~ spl15_7
    | spl15_14 ),
    inference(unit_resulting_resolution,[],[f145,f1011,f88]) ).

fof(f88,plain,
    ! [X2,X0] :
      ( in(X2,relation_rng(X0))
      | ~ sP12(X2,X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | ~ sP12(X2,X0)
      | in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f1011,plain,
    ( sP12(sK5(sK1,relation_rng(sK2)),sK2)
    | spl15_2
    | ~ spl15_7
    | spl15_14 ),
    inference(unit_resulting_resolution,[],[f1008,f153]) ).

fof(f145,plain,
    ( relation(sK2)
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl15_5
  <=> relation(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f344,plain,
    spl15_5,
    inference(avatar_split_clause,[],[f321,f144]) ).

fof(f321,plain,
    relation(sK2),
    inference(unit_resulting_resolution,[],[f118,f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(cartesian_product2(X0,X1)))
      | relation(X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',cc1_relset_1) ).

fof(f118,plain,
    element(sK2,powerset(cartesian_product2(sK0,sK1))),
    inference(unit_resulting_resolution,[],[f59,f86]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698',dt_m2_relset_1) ).

fof(f284,plain,
    ( spl15_16
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f177,f273,f281]) ).

fof(f177,plain,
    ( ~ empty(sK1)
    | sP14(relation_rng(sK2)) ),
    inference(resolution,[],[f175,f89]) ).

fof(f256,plain,
    ( spl15_7
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f245,f92,f152]) ).

fof(f92,plain,
    ( spl15_1
  <=> ! [X3] :
        ( ~ in(X3,sK1)
        | in(ordered_pair(sK4(X3),X3),sK2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ in(X0,sK1)
        | sP12(X0,sK2) )
    | ~ spl15_1 ),
    inference(resolution,[],[f93,f80]) ).

fof(f80,plain,
    ! [X2,X3,X0] :
      ( ~ in(ordered_pair(X3,X2),X0)
      | sP12(X2,X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f93,plain,
    ( ! [X3] :
        ( in(ordered_pair(sK4(X3),X3),sK2)
        | ~ in(X3,sK1) )
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f154,plain,
    ( ~ spl15_5
    | spl15_7
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f142,f95,f152,f144]) ).

fof(f142,plain,
    ( ! [X0] :
        ( ~ in(X0,sK1)
        | sP12(X0,sK2)
        | ~ relation(sK2) )
    | ~ spl15_2 ),
    inference(superposition,[],[f87,f127]) ).

fof(f127,plain,
    ( sK1 = relation_rng(sK2)
    | ~ spl15_2 ),
    inference(forward_demodulation,[],[f124,f97]) ).

fof(f97,plain,
    ( sK1 = relation_rng_as_subset(sK0,sK1,sK2)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f124,plain,
    relation_rng_as_subset(sK0,sK1,sK2) = relation_rng(sK2),
    inference(unit_resulting_resolution,[],[f119,f71]) ).

fof(f87,plain,
    ! [X2,X0] :
      ( ~ in(X2,relation_rng(X0))
      | sP12(X2,X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ relation(X0)
      | sP12(X2,X0)
      | ~ in(X2,X1)
      | relation_rng(X0) != X1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f107,plain,
    ( spl15_4
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f56,f95,f104]) ).

fof(f56,plain,
    ( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
    | in(sK3,sK1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f102,plain,
    ( spl15_3
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f57,f95,f100]) ).

fof(f57,plain,
    ! [X4] :
      ( sK1 != relation_rng_as_subset(sK0,sK1,sK2)
      | ~ in(ordered_pair(X4,sK3),sK2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f98,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f58,f95,f92]) ).

fof(f58,plain,
    ! [X3] :
      ( sK1 = relation_rng_as_subset(sK0,sK1,sK2)
      | ~ in(X3,sK1)
      | in(ordered_pair(sK4(X3),X3),sK2) ),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEU266+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.31  % Computer : n019.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri May  3 11:35:59 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.eN228uNI1t/Vampire---4.8_32698
% 0.58/0.79  % (355)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 (2995ds/83Mi)
% 0.58/0.79  % (352)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.58/0.79  % (351)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.79  % (349)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 (2995ds/34Mi)
% 0.58/0.79  % (353)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 (2995ds/34Mi)
% 0.58/0.79  % (354)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.58/0.79  % (350)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 (2995ds/51Mi)
% 0.58/0.79  % (356)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 (2995ds/56Mi)
% 0.64/0.79  % (354)Refutation not found, incomplete strategy% (354)------------------------------
% 0.64/0.79  % (354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (352)Refutation not found, incomplete strategy% (352)------------------------------
% 0.64/0.79  % (352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (352)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79  
% 0.64/0.79  % (352)Memory used [KB]: 1046
% 0.64/0.79  % (352)Time elapsed: 0.004 s
% 0.64/0.79  % (352)Instructions burned: 3 (million)
% 0.64/0.79  % (356)Refutation not found, incomplete strategy% (356)------------------------------
% 0.64/0.79  % (356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (354)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79  
% 0.64/0.79  % (354)Memory used [KB]: 1047
% 0.64/0.79  % (354)Time elapsed: 0.004 s
% 0.64/0.79  % (354)Instructions burned: 3 (million)
% 0.64/0.79  % (356)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79  
% 0.64/0.79  % (356)Memory used [KB]: 1054
% 0.64/0.79  % (356)Time elapsed: 0.003 s
% 0.64/0.79  % (356)Instructions burned: 3 (million)
% 0.64/0.79  % (354)------------------------------
% 0.64/0.79  % (354)------------------------------
% 0.64/0.79  % (352)------------------------------
% 0.64/0.79  % (352)------------------------------
% 0.64/0.79  % (356)------------------------------
% 0.64/0.79  % (356)------------------------------
% 0.64/0.79  % (353)Refutation not found, incomplete strategy% (353)------------------------------
% 0.64/0.79  % (353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (353)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79  
% 0.64/0.79  % (353)Memory used [KB]: 1058
% 0.64/0.79  % (353)Time elapsed: 0.005 s
% 0.64/0.79  % (353)Instructions burned: 4 (million)
% 0.64/0.79  % (353)------------------------------
% 0.64/0.79  % (353)------------------------------
% 0.64/0.79  % (349)Refutation not found, incomplete strategy% (349)------------------------------
% 0.64/0.79  % (349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79  % (349)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79  
% 0.64/0.79  % (349)Memory used [KB]: 1089
% 0.64/0.79  % (349)Time elapsed: 0.007 s
% 0.64/0.79  % (349)Instructions burned: 8 (million)
% 0.64/0.79  % (349)------------------------------
% 0.64/0.79  % (349)------------------------------
% 0.64/0.80  % (359)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 (2995ds/208Mi)
% 0.64/0.80  % (357)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 (2995ds/55Mi)
% 0.64/0.80  % (358)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 (2995ds/50Mi)
% 0.64/0.80  % (360)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.64/0.80  % (361)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.64/0.80  % (361)Refutation not found, incomplete strategy% (361)------------------------------
% 0.64/0.80  % (361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80  % (361)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80  
% 0.64/0.80  % (361)Memory used [KB]: 1056
% 0.64/0.80  % (361)Time elapsed: 0.004 s
% 0.64/0.80  % (361)Instructions burned: 5 (million)
% 0.64/0.80  % (361)------------------------------
% 0.64/0.80  % (361)------------------------------
% 0.64/0.80  % (362)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.64/0.81  % (357)Refutation not found, incomplete strategy% (357)------------------------------
% 0.64/0.81  % (357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (357)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (357)Memory used [KB]: 1174
% 0.64/0.81  % (357)Time elapsed: 0.013 s
% 0.64/0.81  % (357)Instructions burned: 19 (million)
% 0.64/0.81  % (357)------------------------------
% 0.64/0.81  % (357)------------------------------
% 0.64/0.81  % (362)Refutation not found, incomplete strategy% (362)------------------------------
% 0.64/0.81  % (362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81  % (362)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81  
% 0.64/0.81  % (362)Memory used [KB]: 1092
% 0.64/0.81  % (362)Time elapsed: 0.006 s
% 0.64/0.81  % (362)Instructions burned: 7 (million)
% 0.64/0.81  % (362)------------------------------
% 0.64/0.81  % (362)------------------------------
% 0.64/0.81  % (363)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.64/0.81  % (364)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.64/0.82  % (355)First to succeed.
% 0.64/0.82  % (364)Refutation not found, incomplete strategy% (364)------------------------------
% 0.64/0.82  % (364)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (364)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (364)Memory used [KB]: 1059
% 0.64/0.82  % (364)Time elapsed: 0.005 s
% 0.64/0.82  % (364)Instructions burned: 6 (million)
% 0.64/0.82  % (364)------------------------------
% 0.64/0.82  % (364)------------------------------
% 0.64/0.82  % (355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-343"
% 0.64/0.82  % (355)Refutation found. Thanks to Tanya!
% 0.64/0.82  % SZS status Theorem for Vampire---4
% 0.64/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.82  % (355)------------------------------
% 0.64/0.82  % (355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82  % (355)Termination reason: Refutation
% 0.64/0.82  
% 0.64/0.82  % (355)Memory used [KB]: 1451
% 0.64/0.82  % (355)Time elapsed: 0.029 s
% 0.64/0.82  % (355)Instructions burned: 42 (million)
% 0.64/0.82  % (343)Success in time 0.491 s
% 0.64/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------