↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU109+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:51:56 PM UTC 2026

% Result   : Theorem 0.30s 0.47s
% Output   : Refutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  118 (  17 unt;   8 def)
%            Number of atoms       :  288 (   8 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  281 ( 111   ~; 129   |;  20   &)
%                                         (  13 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   73 (   0 sgn  69   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_intersection2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & in(X3,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f31,axiom,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(X1,X0)
            & in(X2,X0) )
         => ( in(set_union2(X1,X2),X0)
            & in(set_difference(X1,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_finsub_1) ).

fof(f32,axiom,
    ! [X0] :
      ( ( ~ empty(X0)
        & preboolean(X0) )
     => in(empty_set,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_finsub_1) ).

fof(f35,conjecture,
    ! [X0] :
      ( ( ~ empty(X0)
        & preboolean(X0) )
     => ! [X1] :
          ( ( ~ empty(X1)
            & preboolean(X1) )
         => ( ~ empty(set_intersection2(X0,X1))
            & preboolean(set_intersection2(X0,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_finsub_1) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty(X0)
          & preboolean(X0) )
       => ! [X1] :
            ( ( ~ empty(X1)
              & preboolean(X1) )
           => ( ~ empty(set_intersection2(X0,X1))
              & preboolean(set_intersection2(X0,X1)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f44,axiom,
    ! [X0] :
      ( empty(X0)
     => X0 = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f75,plain,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(set_union2(X1,X2),X0)
            & in(set_difference(X1,X2),X0) )
          | ~ in(X1,X0)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f76,plain,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(set_union2(X1,X2),X0)
            & in(set_difference(X1,X2),X0) )
          | ~ in(X1,X0)
          | ~ in(X2,X0) ) ),
    inference(flattening,[],[f75]) ).

fof(f77,plain,
    ! [X0] :
      ( in(empty_set,X0)
      | empty(X0)
      | ~ preboolean(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f78,plain,
    ! [X0] :
      ( in(empty_set,X0)
      | empty(X0)
      | ~ preboolean(X0) ),
    inference(flattening,[],[f77]) ).

fof(f80,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( empty(set_intersection2(X0,X1))
            | ~ preboolean(set_intersection2(X0,X1)) )
          & ~ empty(X1)
          & preboolean(X1) )
      & ~ empty(X0)
      & preboolean(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f81,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( empty(set_intersection2(X0,X1))
            | ~ preboolean(set_intersection2(X0,X1)) )
          & ~ empty(X1)
          & preboolean(X1) )
      & ~ empty(X0)
      & preboolean(X0) ),
    inference(flattening,[],[f80]) ).

fof(f88,plain,
    ! [X0] :
      ( X0 = empty_set
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X1)
      | ~ in(X3,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f103,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X0)
      | ~ in(X3,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f104,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X3,X1)
      | ~ in(X3,X0)
      | in(X3,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f142,plain,
    ! [X0] :
      ( preboolean(X0)
      | ~ in(set_union2(sK11(X0),sK12(X0)),X0)
      | ~ in(set_difference(sK11(X0),sK12(X0)),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ preboolean(X0)
      | ~ in(X1,X0)
      | in(set_difference(X1,X2),X0)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ preboolean(X0)
      | ~ in(X1,X0)
      | in(set_union2(X1,X2),X0)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f145,plain,
    ! [X0] :
      ( preboolean(X0)
      | in(sK12(X0),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f146,plain,
    ! [X0] :
      ( preboolean(X0)
      | in(sK11(X0),X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ preboolean(X0)
      | empty(X0)
      | in(empty_set,X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f150,plain,
    ( ~ preboolean(set_intersection2(sK13,sK14))
    | empty(set_intersection2(sK13,sK14)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f151,plain,
    preboolean(sK14),
    inference(cnf_transformation,[],[f81]) ).

fof(f152,plain,
    ~ empty(sK14),
    inference(cnf_transformation,[],[f81]) ).

fof(f153,plain,
    preboolean(sK13),
    inference(cnf_transformation,[],[f81]) ).

fof(f154,plain,
    ~ empty(sK13),
    inference(cnf_transformation,[],[f81]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f165,plain,
    ! [X3,X0,X1] :
      ( in(X3,set_intersection2(X0,X1))
      | ~ in(X3,X0)
      | ~ in(X3,X1) ),
    inference(equality_resolution,[],[f104]) ).

fof(f166,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,set_intersection2(X0,X1))
      | in(X3,X0) ),
    inference(equality_resolution,[],[f103]) ).

fof(f167,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,set_intersection2(X0,X1))
      | in(X3,X1) ),
    inference(equality_resolution,[],[f102]) ).

fof(f169,definition,
    ( spl15_1
  <=> empty(set_intersection2(sK13,sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).

fof(f171,plain,
    ( empty(set_intersection2(sK13,sK14))
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f173,definition,
    ( spl15_2
  <=> preboolean(set_intersection2(sK13,sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).

fof(f175,plain,
    ( ~ preboolean(set_intersection2(sK13,sK14))
    | spl15_2 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f176,plain,
    ( spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f150,f173,f169]) ).

fof(f199,plain,
    ( in(sK12(set_intersection2(sK13,sK14)),set_intersection2(sK13,sK14))
    | spl15_2 ),
    inference(resolution,[],[f145,f175]) ).

fof(f204,plain,
    ( in(sK11(set_intersection2(sK13,sK14)),set_intersection2(sK13,sK14))
    | spl15_2 ),
    inference(resolution,[],[f146,f175]) ).

fof(f240,plain,
    ( empty(sK13)
    | in(empty_set,sK13) ),
    inference(resolution,[],[f147,f153]) ).

fof(f241,plain,
    ( empty(sK14)
    | in(empty_set,sK14) ),
    inference(resolution,[],[f147,f151]) ).

fof(f242,plain,
    in(empty_set,sK14),
    inference(forward_subsumption_resolution,[],[f241,f152]) ).

fof(f243,plain,
    in(empty_set,sK13),
    inference(forward_subsumption_resolution,[],[f240,f154]) ).

fof(f298,plain,
    ( in(sK12(set_intersection2(sK13,sK14)),sK13)
    | spl15_2 ),
    inference(resolution,[],[f166,f199]) ).

fof(f299,plain,
    ( in(sK11(set_intersection2(sK13,sK14)),sK13)
    | spl15_2 ),
    inference(resolution,[],[f166,f204]) ).

fof(f308,plain,
    ( in(sK12(set_intersection2(sK13,sK14)),sK14)
    | spl15_2 ),
    inference(resolution,[],[f167,f199]) ).

fof(f309,plain,
    ( in(sK11(set_intersection2(sK13,sK14)),sK14)
    | spl15_2 ),
    inference(resolution,[],[f167,f204]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( in(set_difference(X0,X1),sK13)
      | ~ in(X0,sK13)
      | ~ in(X1,sK13) ),
    inference(resolution,[],[f143,f153]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( in(set_difference(X0,X1),sK14)
      | ~ in(X0,sK14)
      | ~ in(X1,sK14) ),
    inference(resolution,[],[f143,f151]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( in(set_union2(X0,X1),sK13)
      | ~ in(X0,sK13)
      | ~ in(X1,sK13) ),
    inference(resolution,[],[f144,f153]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( in(set_union2(X0,X1),sK14)
      | ~ in(X0,sK14)
      | ~ in(X1,sK14) ),
    inference(resolution,[],[f144,f151]) ).

fof(f384,plain,
    ( ~ in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),set_intersection2(sK13,sK14))
    | ~ in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),set_intersection2(sK13,sK14))
    | spl15_2 ),
    inference(resolution,[],[f142,f175]) ).

fof(f390,definition,
    ( spl15_5
  <=> in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),set_intersection2(sK13,sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).

fof(f392,plain,
    ( ~ in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),set_intersection2(sK13,sK14))
    | spl15_5 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f394,definition,
    ( spl15_6
  <=> in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),set_intersection2(sK13,sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).

fof(f396,plain,
    ( ~ in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),set_intersection2(sK13,sK14))
    | spl15_6 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f397,plain,
    ( ~ spl15_5
    | ~ spl15_6
    | spl15_2 ),
    inference(avatar_split_clause,[],[f384,f173,f394,f390]) ).

fof(f469,plain,
    ( ~ in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK13)
    | ~ in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK14)
    | spl15_5 ),
    inference(resolution,[],[f392,f165]) ).

fof(f471,definition,
    ( spl15_7
  <=> in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK14) ),
    introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK14)
    | spl15_7 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f475,definition,
    ( spl15_8
  <=> in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK13) ),
    introduced(definition,[new_symbols(definition,[spl15_8])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ in(set_difference(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK13)
    | spl15_8 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,plain,
    ( ~ spl15_7
    | ~ spl15_8
    | spl15_5 ),
    inference(avatar_split_clause,[],[f469,f390,f475,f471]) ).

fof(f526,plain,
    ( ~ in(sK11(set_intersection2(sK13,sK14)),sK14)
    | ~ in(sK12(set_intersection2(sK13,sK14)),sK14)
    | spl15_7 ),
    inference(resolution,[],[f473,f377]) ).

fof(f528,plain,
    ( ~ in(sK12(set_intersection2(sK13,sK14)),sK14)
    | spl15_2
    | spl15_7 ),
    inference(forward_subsumption_resolution,[],[f526,f309]) ).

fof(f529,plain,
    ( $false
    | spl15_2
    | spl15_7 ),
    inference(forward_subsumption_resolution,[],[f528,f308]) ).

fof(f530,plain,
    ( spl15_2
    | spl15_7 ),
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f537,plain,
    ( ~ in(sK11(set_intersection2(sK13,sK14)),sK13)
    | ~ in(sK12(set_intersection2(sK13,sK14)),sK13)
    | spl15_8 ),
    inference(resolution,[],[f477,f376]) ).

fof(f539,plain,
    ( ~ in(sK12(set_intersection2(sK13,sK14)),sK13)
    | spl15_2
    | spl15_8 ),
    inference(forward_subsumption_resolution,[],[f537,f299]) ).

fof(f540,plain,
    ( $false
    | spl15_2
    | spl15_8 ),
    inference(forward_subsumption_resolution,[],[f539,f298]) ).

fof(f541,plain,
    ( spl15_2
    | spl15_8 ),
    inference(avatar_contradiction_clause,[],[f540]) ).

fof(f544,plain,
    ( empty_set = set_intersection2(sK13,sK14)
    | ~ spl15_1 ),
    inference(resolution,[],[f171,f162]) ).

fof(f557,plain,
    ( ! [X0] :
        ( ~ in(X0,sK14)
        | ~ in(X0,sK13)
        | in(X0,empty_set) )
    | ~ spl15_1 ),
    inference(superposition,[],[f165,f544]) ).

fof(f648,plain,
    ( ~ in(empty_set,sK13)
    | in(empty_set,empty_set)
    | ~ spl15_1 ),
    inference(resolution,[],[f557,f242]) ).

fof(f660,plain,
    ( in(empty_set,empty_set)
    | ~ spl15_1 ),
    inference(forward_subsumption_resolution,[],[f648,f243]) ).

fof(f683,plain,
    ( ~ in(empty_set,empty_set)
    | ~ spl15_1 ),
    inference(resolution,[],[f660,f91]) ).

fof(f688,plain,
    ( $false
    | ~ spl15_1 ),
    inference(forward_subsumption_resolution,[],[f683,f660]) ).

fof(f689,plain,
    ~ spl15_1,
    inference(avatar_contradiction_clause,[],[f688]) ).

fof(f691,plain,
    ( in(sK11(set_intersection2(sK13,sK14)),set_intersection2(sK13,sK14))
    | spl15_2 ),
    inference(resolution,[],[f175,f146]) ).

fof(f692,plain,
    ( in(sK12(set_intersection2(sK13,sK14)),set_intersection2(sK13,sK14))
    | spl15_2 ),
    inference(resolution,[],[f175,f145]) ).

fof(f695,plain,
    ( in(sK11(set_intersection2(sK13,sK14)),sK14)
    | spl15_2 ),
    inference(resolution,[],[f691,f167]) ).

fof(f696,plain,
    ( in(sK11(set_intersection2(sK13,sK14)),sK13)
    | spl15_2 ),
    inference(resolution,[],[f691,f166]) ).

fof(f701,plain,
    ( in(sK12(set_intersection2(sK13,sK14)),sK14)
    | spl15_2 ),
    inference(resolution,[],[f692,f167]) ).

fof(f702,plain,
    ( in(sK12(set_intersection2(sK13,sK14)),sK13)
    | spl15_2 ),
    inference(resolution,[],[f692,f166]) ).

fof(f717,plain,
    ( ~ in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK13)
    | ~ in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK14)
    | spl15_6 ),
    inference(resolution,[],[f396,f165]) ).

fof(f720,definition,
    ( spl15_15
  <=> in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK14) ),
    introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK14)
    | spl15_15 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f724,definition,
    ( spl15_16
  <=> in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK13) ),
    introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).

fof(f726,plain,
    ( ~ in(set_union2(sK11(set_intersection2(sK13,sK14)),sK12(set_intersection2(sK13,sK14))),sK13)
    | spl15_16 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f727,plain,
    ( ~ spl15_15
    | ~ spl15_16
    | spl15_6 ),
    inference(avatar_split_clause,[],[f717,f394,f724,f720]) ).

fof(f952,plain,
    ( ~ in(sK11(set_intersection2(sK13,sK14)),sK14)
    | ~ in(sK12(set_intersection2(sK13,sK14)),sK14)
    | spl15_15 ),
    inference(resolution,[],[f722,f383]) ).

fof(f954,plain,
    ( ~ in(sK12(set_intersection2(sK13,sK14)),sK14)
    | spl15_2
    | spl15_15 ),
    inference(forward_subsumption_resolution,[],[f952,f695]) ).

fof(f955,plain,
    ( $false
    | spl15_2
    | spl15_15 ),
    inference(forward_subsumption_resolution,[],[f954,f701]) ).

fof(f956,plain,
    ( spl15_2
    | spl15_15 ),
    inference(avatar_contradiction_clause,[],[f955]) ).

fof(f1011,plain,
    ( ~ in(sK11(set_intersection2(sK13,sK14)),sK13)
    | ~ in(sK12(set_intersection2(sK13,sK14)),sK13)
    | spl15_16 ),
    inference(resolution,[],[f726,f382]) ).

fof(f1013,plain,
    ( ~ in(sK12(set_intersection2(sK13,sK14)),sK13)
    | spl15_2
    | spl15_16 ),
    inference(forward_subsumption_resolution,[],[f1011,f696]) ).

fof(f1014,plain,
    ( $false
    | spl15_2
    | spl15_16 ),
    inference(forward_subsumption_resolution,[],[f1013,f702]) ).

fof(f1015,plain,
    ( spl15_2
    | spl15_16 ),
    inference(avatar_contradiction_clause,[],[f1014]) ).

cnf(s1,plain,
    ( spl15_1
    | ~ spl15_2 ),
    inference(sat_conversion,[],[f176]) ).

cnf(s6,plain,
    ( spl15_2
    | ~ spl15_5
    | ~ spl15_6 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s7,plain,
    ( spl15_5
    | ~ spl15_7
    | ~ spl15_8 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s8,plain,
    ( spl15_2
    | spl15_7 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s9,plain,
    ( spl15_2
    | spl15_8 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s21,plain,
    ~ spl15_1,
    inference(sat_conversion,[],[f689]) ).

cnf(s23,plain,
    ( spl15_6
    | ~ spl15_15
    | ~ spl15_16 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s24,plain,
    ( spl15_2
    | spl15_15 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s28,plain,
    ( spl15_2
    | spl15_16 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s29,plain,
    ~ spl15_2,
    inference(rat,[],[s1,s21]) ).

cnf(s30,plain,
    spl15_16,
    inference(rat,[],[s28,s29]) ).

cnf(s31,plain,
    spl15_15,
    inference(rat,[],[s24,s29]) ).

cnf(s32,plain,
    spl15_8,
    inference(rat,[],[s9,s29]) ).

cnf(s33,plain,
    spl15_7,
    inference(rat,[],[s8,s29]) ).

cnf(s34,plain,
    spl15_6,
    inference(rat,[],[s23,s30,s31]) ).

cnf(s35,plain,
    spl15_5,
    inference(rat,[],[s7,s32,s33]) ).

cnf(s36,plain,
    $false,
    inference(rat,[],[s6,s29,s34,s35]) ).

fof(f1016,plain,
    $false,
    inference(avatar_sat_refutation,[],[s36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU109+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 03:35:22 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.47  % (411249)Will run a generic schedule for satisfiability detection.
% 0.30/0.47  % (411259)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=173200723:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.30/0.47  % (411255)% WARNING: option uhcvi not known.
% 0.30/0.47  % (411258)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2660444053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.30/0.47  % (411254)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3159320280_2999 on theBenchmark for (2999ds/0Mi)
% 0.30/0.47  % (411257)dis+10_1_sil=32000:sp=arity:random_seed=3759021828:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.30/0.47  % (411256)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1702063464:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.30/0.47  % (411260)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2782928387:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.30/0.47  % (411255)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1135960812:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.30/0.47  % TRYING [1]
% 0.30/0.47  % TRYING [2]
% 0.30/0.47  % TRYING [3]
% 0.30/0.47  % TRYING [4]
% 0.30/0.47  % TRYING [5]
% 0.30/0.47  % (411258) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-411249-411258"...
% 0.30/0.47  % (411258)...printing done.
% 0.30/0.47  % (411258)Refutation found. Thanks to Tanya!
% 0.30/0.47  % SZS status Theorem for theBenchmark
% 0.30/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.47  % (411258)------------------------------
% 0.30/0.47  % (411258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.47  % (411258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.47  % (411258)CaDiCaL version: 2.1.3
% 0.30/0.47  % (411258)Termination reason: Refutation
% 0.30/0.47  % (411258)Time elapsed: 0.023 s
% 0.30/0.47  % (411258)Peak memory usage: 13 MB
% 0.30/0.47  % (411258)Instructions burned: 32 (million)
% 0.30/0.47  % (411249)Success in time 0.057 s
% 0.30/0.47  % Vampire exiting
%------------------------------------------------------------------------------