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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 12:44:52 PM UTC 2026

% Result   : Unsatisfiable 0.07s 0.36s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   79 (  16 unt;   6 def)
%            Number of atoms       :  231 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  275 ( 123   ~; 146   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   82 (   0 sgn  82   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2)
      | c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,X1,tc_set(X2))
      | c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))
      | c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))
      | ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,X1,tc_set(X2))
      | c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,X1,X2)
      | c_in(X0,X5,X2)
      | c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,X1,X2)
      | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))
      | c_in(X0,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).

fof(f8,negated_conjecture,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f9,negated_conjecture,
    c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f10,negated_conjecture,
    c_in(v_x,v_S,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f11,negated_conjecture,
    c_lessequals(v_y,v_x,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f12,negated_conjecture,
    c_in(v_xa,v_x,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f13,negated_conjecture,
    ~ c_in(v_xa,v_y,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f14,negated_conjecture,
    ! [X0] :
      ( ~ c_in(X0,v_c,tc_set(t_a))
      | c_lessequals(X0,v_y,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f18,plain,
    ! [X0] :
      ( ~ c_in(X0,v_y,t_a)
      | c_in(X0,v_x,t_a) ),
    inference(resolution,[],[f1,f11]) ).

fof(f23,plain,
    ! [X0] :
      ( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
      | c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(resolution,[],[f4,f9]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a))
      | ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X1,X0,t_a)
      | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
      | c_in(X1,X2,t_a) ),
    inference(resolution,[],[f23,f7]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a))
      | ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X1,X0,t_a)
      | c_in(X1,X2,t_a)
      | c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a)) ),
    inference(resolution,[],[f23,f6]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,v_S,tc_set(t_a))
      | c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
      | ~ c_in(X1,X0,t_a)
      | c_in(X1,X2,t_a)
      | c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a)) ),
    inference(forward_subsumption_resolution,[],[f33,f8]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
      | ~ c_in(X0,v_S,tc_set(t_a))
      | ~ c_in(X1,X0,t_a)
      | c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
      | c_in(X1,X2,t_a) ),
    inference(forward_subsumption_resolution,[],[f32,f8]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
      | ~ c_in(X0,v_x,t_a)
      | c_in(X0,X1,t_a)
      | c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a)) ),
    inference(resolution,[],[f35,f10]) ).

fof(f45,definition,
    ( spl0_1
  <=> ! [X0,X1] :
        ( ~ c_in(X0,v_x,t_a)
        | c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
        | c_in(X0,X1,t_a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f46,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,v_x,t_a)
        | c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
        | c_in(X0,X1,t_a) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f48,definition,
    ( spl0_2
  <=> c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f50,plain,
    ( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f51,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f43,f48,f45]) ).

fof(f52,plain,
    ( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a))
    | ~ spl0_2 ),
    inference(resolution,[],[f50,f14]) ).

fof(f53,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
        | c_in(X0,v_y,t_a) )
    | ~ spl0_2 ),
    inference(resolution,[],[f52,f1]) ).

fof(f57,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)
        | c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f53,f2]) ).

fof(f59,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_x,t_a)
        | c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f57,f18]) ).

fof(f61,plain,
    ( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
    | c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
    | ~ spl0_2 ),
    inference(resolution,[],[f59,f3]) ).

fof(f62,plain,
    ( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f63,plain,
    ( ! [X0] :
        ( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_x,X0,tc_set(t_a))
        | ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f62,f5]) ).

fof(f67,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(v_x,X0,tc_set(t_a))
        | ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(X1,v_x,t_a)
        | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
        | c_in(X1,X2,t_a) )
    | ~ spl0_2 ),
    inference(resolution,[],[f63,f7]) ).

fof(f68,plain,
    ( ! [X2,X0,X1] :
        ( ~ c_in(v_x,X0,tc_set(t_a))
        | ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(X1,v_x,t_a)
        | c_in(X1,X2,t_a)
        | c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f63,f6]) ).

fof(f71,definition,
    ( spl0_3
  <=> ! [X0] :
        ( ~ c_in(v_x,X0,tc_set(t_a))
        | ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f72,plain,
    ( ! [X0] :
        ( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_x,X0,tc_set(t_a))
        | ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f73,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f68,f48,f71,f45]) ).

fof(f75,definition,
    ( spl0_4
  <=> ! [X2,X1] :
        ( ~ c_in(X1,v_x,t_a)
        | c_in(X1,X2,t_a)
        | ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f76,plain,
    ( ! [X2,X1] :
        ( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
        | c_in(X1,X2,t_a)
        | ~ c_in(X1,v_x,t_a) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f77,plain,
    ( spl0_4
    | spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f67,f48,f71,f75]) ).

fof(f78,plain,
    ( ~ c_in(v_x,v_S,tc_set(t_a))
    | ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ spl0_3 ),
    inference(resolution,[],[f72,f8]) ).

fof(f79,plain,
    ( ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f78,f10]) ).

fof(f80,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f79,f9]) ).

fof(f81,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f80]) ).

fof(f86,plain,
    ( ! [X0] :
        ( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
        | c_in(v_xa,X0,t_a) )
    | ~ spl0_1 ),
    inference(resolution,[],[f46,f12]) ).

fof(f87,plain,
    ( ! [X0] :
        ( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a))
        | c_in(v_xa,X0,t_a) )
    | ~ spl0_1 ),
    inference(resolution,[],[f86,f14]) ).

fof(f89,plain,
    ( ! [X0,X1] :
        ( c_in(v_xa,v_y,t_a)
        | ~ c_in(X0,v_S,tc_set(t_a))
        | ~ c_in(X1,X0,t_a)
        | c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
        | c_in(X1,v_y,t_a) )
    | ~ spl0_1 ),
    inference(resolution,[],[f87,f36]) ).

fof(f90,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,v_S,tc_set(t_a))
        | ~ c_in(X1,X0,t_a)
        | c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
        | c_in(X1,v_y,t_a) )
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f89,f13]) ).

fof(f226,definition,
    ( spl0_15
  <=> ! [X2,X1] :
        ( ~ c_in(X1,v_S,tc_set(t_a))
        | c_in(X2,v_y,t_a)
        | c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
        | ~ c_in(X2,X1,t_a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f227,plain,
    ( ! [X2,X1] :
        ( ~ c_in(X1,v_S,tc_set(t_a))
        | c_in(X2,v_y,t_a)
        | c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
        | ~ c_in(X2,X1,t_a) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f330,plain,
    ( spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f90,f45,f226]) ).

fof(f352,plain,
    ( ! [X0] :
        ( c_in(X0,v_y,t_a)
        | c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
        | ~ c_in(X0,v_x,t_a) )
    | ~ spl0_15 ),
    inference(resolution,[],[f227,f10]) ).

fof(f507,plain,
    ( ! [X0] :
        ( c_in(X0,v_y,t_a)
        | ~ c_in(X0,v_x,t_a)
        | c_in(v_xa,v_y,t_a) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f76,f87]) ).

fof(f508,plain,
    ( ! [X0] :
        ( c_in(X0,v_y,t_a)
        | ~ c_in(X0,v_x,t_a) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f507,f13]) ).

fof(f510,definition,
    ( spl0_37
  <=> ! [X0] :
        ( c_in(X0,v_y,t_a)
        | ~ c_in(X0,v_x,t_a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_x,t_a)
        | c_in(X0,v_y,t_a) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f515,plain,
    ( spl0_37
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f508,f75,f45,f510]) ).

fof(f551,plain,
    ( c_in(v_xa,v_y,t_a)
    | ~ spl0_37 ),
    inference(resolution,[],[f511,f12]) ).

fof(f552,plain,
    ( $false
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f551,f13]) ).

fof(f553,plain,
    ~ spl0_37,
    inference(avatar_contradiction_clause,[],[f552]) ).

fof(f565,plain,
    ( spl0_2
    | spl0_37
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f352,f226,f510,f48]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f51]) ).

cnf(s2,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f73]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f77]) ).

cnf(s4,plain,
    ~ spl0_3,
    inference(sat_conversion,[],[f81]) ).

cnf(s38,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s74,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_37 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s76,plain,
    ~ spl0_37,
    inference(sat_conversion,[],[f553]) ).

cnf(s84,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_37 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s85,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(rat,[],[s74,s76]) ).

cnf(s90,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(rat,[],[s3,s4]) ).

cnf(s91,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(rat,[],[s2,s4]) ).

cnf(s92,plain,
    spl0_1,
    inference(rat,[],[s1,s91]) ).

cnf(s93,plain,
    ~ spl0_4,
    inference(rat,[],[s85,s92]) ).

cnf(s104,plain,
    spl0_15,
    inference(rat,[],[s38,s92]) ).

cnf(s110,plain,
    ~ spl0_2,
    inference(rat,[],[s90,s93]) ).

cnf(s111,plain,
    $false,
    inference(rat,[],[s84,s76,s104,s110]) ).

fof(f566,plain,
    $false,
    inference(avatar_sat_refutation,[],[s111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Mon Sep 28 03:03:49 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32  Running first-order model finding
% 0.04/0.32  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36  % (2977020)Will run a generic schedule for satisfiability detection.
% 0.07/0.36  % (2977026)% WARNING: option uhcvi not known.
% 0.07/0.36  % (2977025)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=660565560_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36  % (2977027)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=227389491:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36  % (2977026)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4226478222:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36  % (2977028)dis+10_1_sil=32000:sp=arity:random_seed=1346996063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36  % (2977029)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=637755182:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36  % (2977030)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4240332506:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36  % (2977031)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1855157102:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36  % TRYING [1]
% 0.07/0.36  % TRYING [2]
% 0.07/0.36  % TRYING [3]
% 0.07/0.36  % (2977028) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977020-2977028"...
% 0.07/0.36  % (2977028)...printing done.
% 0.07/0.36  % (2977028)Refutation found. Thanks to Tanya!
% 0.07/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.07/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36  % (2977028)------------------------------
% 0.07/0.36  % (2977028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36  % (2977028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36  % (2977028)CaDiCaL version: 2.1.3
% 0.07/0.36  % (2977028)Termination reason: Refutation
% 0.07/0.36  % (2977028)Time elapsed: 0.008 s
% 0.07/0.36  % (2977028)Peak memory usage: 12 MB
% 0.07/0.36  % (2977028)Instructions burned: 22 (million)
% 0.07/0.36  % (2977020)Success in time 0.032 s
% 0.07/0.36  % Vampire exiting
%------------------------------------------------------------------------------