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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET837-2 : 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 : n010.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 12:44:45 PM UTC 2026

% Result   : Unsatisfiable 0.47s 0.49s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   97 (   9 unt;   8 def)
%            Number of atoms       :  266 (  13 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  301 ( 132   ~; 161   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   9 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   72 (   0 sgn  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( v_X = c_union(v_Y,v_Z,t_a)
    | c_lessequals(v_Y,v_X,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    ( v_X = c_union(v_Y,v_Z,t_a)
    | c_lessequals(v_Z,v_X,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3,negated_conjecture,
    ( c_lessequals(v_Y,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | v_X != c_union(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,negated_conjecture,
    ( c_lessequals(v_Z,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | v_X != c_union(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f5,negated_conjecture,
    ( ~ c_lessequals(v_X,v_x,tc_set(t_a))
    | ~ c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ c_lessequals(v_Y,v_X,tc_set(t_a))
    | v_X != c_union(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f6,negated_conjecture,
    ! [X0] :
      ( v_X = c_union(v_Y,v_Z,t_a)
      | c_lessequals(v_X,X0,tc_set(t_a))
      | ~ c_lessequals(v_Z,X0,tc_set(t_a))
      | ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X1,X3,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_union(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f10,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f11,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f12,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_set(X2))
      | ~ c_lessequals(X1,X0,tc_set(X2))
      | X1 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2))
      | X0 = X1 ),
    inference(reorient_equations,[],[f13]) ).

fof(f16,definition,
    ( spl0_1
  <=> ! [X0] :
        ( c_lessequals(v_X,X0,tc_set(t_a))
        | ~ c_lessequals(v_Y,X0,tc_set(t_a))
        | ~ c_lessequals(v_Z,X0,tc_set(t_a)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f17,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_Z,X0,tc_set(t_a))
        | ~ c_lessequals(v_Y,X0,tc_set(t_a))
        | c_lessequals(v_X,X0,tc_set(t_a)) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f19,definition,
    ( spl0_2
  <=> v_X = c_union(v_Y,v_Z,t_a) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f20,plain,
    ( v_X != c_union(v_Y,v_Z,t_a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f21,plain,
    ( v_X = c_union(v_Y,v_Z,t_a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f22,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f19,f16]) ).

fof(f24,definition,
    ( spl0_3
  <=> c_lessequals(v_Y,v_X,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f25,plain,
    ( c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f28,definition,
    ( spl0_4
  <=> c_lessequals(v_Z,v_X,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f29,plain,
    ( c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f32,definition,
    ( spl0_5
  <=> c_lessequals(v_X,v_x,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f34,plain,
    ( ~ c_lessequals(v_X,v_x,tc_set(t_a))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f35,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f5,f32,f28,f24,f19]) ).

fof(f37,definition,
    ( spl0_6
  <=> c_lessequals(v_Z,v_x,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f39,plain,
    ( c_lessequals(v_Z,v_x,tc_set(t_a))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f40,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f4,f37,f28,f24,f19]) ).

fof(f42,definition,
    ( spl0_7
  <=> c_lessequals(v_Y,v_x,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f44,plain,
    ( c_lessequals(v_Y,v_x,tc_set(t_a))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f45,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f3,f42,f28,f24,f19]) ).

fof(f46,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2,f19,f28]) ).

fof(f47,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f19,f24]) ).

fof(f48,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Z,t_a)
        | c_in(X0,v_X,t_a) )
    | ~ spl0_2 ),
    inference(superposition,[],[f7,f21]) ).

fof(f49,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Y,t_a)
        | c_in(X0,v_X,t_a) )
    | ~ spl0_2 ),
    inference(superposition,[],[f8,f21]) ).

fof(f50,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
        | c_lessequals(v_Z,X0,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f11,f48]) ).

fof(f51,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a)
        | c_lessequals(v_Y,X0,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f49,f11]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
      | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(resolution,[],[f12,f8]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
      | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(resolution,[],[f12,f7]) ).

fof(f56,plain,
    ( c_lessequals(v_Z,v_X,tc_set(t_a))
    | c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ spl0_2 ),
    inference(resolution,[],[f50,f12]) ).

fof(f57,plain,
    ( c_lessequals(v_Z,v_X,tc_set(t_a))
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f58,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f57,f19,f28]) ).

fof(f59,plain,
    ( c_lessequals(v_Y,v_X,tc_set(t_a))
    | c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ spl0_2 ),
    inference(resolution,[],[f51,f12]) ).

fof(f60,plain,
    ( c_lessequals(v_Y,v_X,tc_set(t_a))
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f63,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f60,f19,f24]) ).

fof(f64,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Z,t_a)
        | c_in(X0,v_X,t_a) )
    | ~ spl0_4 ),
    inference(resolution,[],[f10,f29]) ).

fof(f65,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Y,t_a)
        | c_in(X0,v_X,t_a) )
    | ~ spl0_3 ),
    inference(resolution,[],[f10,f25]) ).

fof(f66,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Z,t_a)
        | c_in(X0,v_x,t_a) )
    | ~ spl0_6 ),
    inference(resolution,[],[f10,f39]) ).

fof(f67,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Y,t_a)
        | c_in(X0,v_x,t_a) )
    | ~ spl0_7 ),
    inference(resolution,[],[f10,f44]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
      | c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2)
      | c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f9,f11]) ).

fof(f112,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_X,t_a)
        | c_in(X0,v_Z,t_a)
        | c_in(X0,v_Y,t_a) )
    | ~ spl0_2 ),
    inference(superposition,[],[f9,f21]) ).

fof(f116,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
        | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
        | c_lessequals(v_X,X0,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f112,f11]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
      | c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
    inference(resolution,[],[f53,f11]) ).

fof(f131,plain,
    ! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
    inference(duplicate_literal_removal,[],[f121]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
      | c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
    inference(resolution,[],[f54,f11]) ).

fof(f144,plain,
    ! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f204,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
        | c_lessequals(v_X,X0,tc_set(t_a))
        | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_x,t_a) )
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f116,f66]) ).

fof(f211,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_x,t_a)
        | c_lessequals(v_X,X0,tc_set(t_a)) )
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f204,f67]) ).

fof(f1353,plain,
    ( c_lessequals(v_X,v_x,tc_set(t_a))
    | c_lessequals(v_X,v_x,tc_set(t_a))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(resolution,[],[f211,f12]) ).

fof(f1366,plain,
    ( c_lessequals(v_X,v_x,tc_set(t_a))
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f1353]) ).

fof(f1367,plain,
    ( $false
    | ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1366,f34]) ).

fof(f1368,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a))
        | c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f17,f144]) ).

fof(f1410,plain,
    ( ! [X0,X1] :
        ( c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),v_X,t_a)
        | c_in(c_Main_OsubsetI__1(c_union(X0,v_Z,t_a),X1,t_a),X0,t_a)
        | c_lessequals(c_union(X0,v_Z,t_a),X1,tc_set(t_a)) )
    | ~ spl0_4 ),
    inference(resolution,[],[f64,f111]) ).

fof(f1562,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
        | c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a))
        | c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f1410,f65]) ).

fof(f1566,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),X0,t_a),v_X,t_a)
        | c_lessequals(c_union(v_Y,v_Z,t_a),X0,tc_set(t_a)) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f1562]) ).

fof(f1783,plain,
    ( c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
    | ~ spl0_1 ),
    inference(resolution,[],[f1379,f131]) ).

fof(f2702,plain,
    ( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
    | c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f1566,f12]) ).

fof(f2716,plain,
    ( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f2702]) ).

fof(f2735,definition,
    ( spl0_50
  <=> c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f2737,plain,
    ( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f2735]) ).

fof(f3016,plain,
    ( spl0_50
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f2716,f28,f24,f2735]) ).

fof(f3017,plain,
    ( ~ c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
    | v_X = c_union(v_Y,v_Z,t_a)
    | ~ spl0_50 ),
    inference(resolution,[],[f2737,f14]) ).

fof(f3019,plain,
    ( v_X = c_union(v_Y,v_Z,t_a)
    | ~ spl0_1
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f3017,f1783]) ).

fof(f3020,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f3019,f20]) ).

fof(f3021,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f3020]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f22]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f35]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(sat_conversion,[],[f40]) ).

cnf(s4,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_7 ),
    inference(sat_conversion,[],[f45]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f46]) ).

cnf(s6,plain,
    ( spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f47]) ).

cnf(s7,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f58]) ).

cnf(s9,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s17,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_50 ),
    inference(sat_conversion,[],[f3016]) ).

cnf(s46,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f3021]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s17,s2,s3,s4]) ).

cnf(s48,plain,
    ~ spl0_2,
    inference(rat,[],[s47,s7,s9]) ).

cnf(s49,plain,
    spl0_3,
    inference(rat,[],[s6,s48]) ).

cnf(s50,plain,
    spl0_4,
    inference(rat,[],[s5,s48]) ).

cnf(s51,plain,
    spl0_1,
    inference(rat,[],[s1,s48]) ).

cnf(s52,plain,
    spl0_50,
    inference(rat,[],[s45,s49,s50]) ).

cnf(s55,plain,
    $false,
    inference(rat,[],[s46,s48,s52,s51]) ).

fof(f3022,plain,
    $false,
    inference(avatar_sat_refutation,[],[s55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET837-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n010.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 28 02:57:17 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  Running first-order model finding
% 0.11/0.38  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
% 0.47/0.49  % (1517597)Will run a generic schedule for satisfiability detection.
% 0.47/0.49  % (1517604)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1388196972:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.47/0.49  % (1517603)% WARNING: option uhcvi not known.
% 0.47/0.49  % (1517602)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1232803232_2999 on theBenchmark for (2999ds/0Mi)
% 0.47/0.49  % (1517606)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=585627228:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.47/0.49  % (1517603)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=502302003:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.47/0.49  % (1517605)dis+10_1_sil=32000:sp=arity:random_seed=2446370188:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.47/0.49  % (1517607)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1041080046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.47/0.49  % (1517608)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=564294815:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.47/0.49  % TRYING [1]
% 0.47/0.49  % TRYING [2]
% 0.47/0.49  % TRYING [3]
% 0.47/0.49  % TRYING [4]
% 0.47/0.49  % TRYING [5]
% 0.47/0.49  % (1517605) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1517597-1517605"...
% 0.47/0.49  % (1517605)...printing done.
% 0.47/0.49  % (1517605)Refutation found. Thanks to Tanya!
% 0.47/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.49  % (1517605)------------------------------
% 0.47/0.49  % (1517605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.49  % (1517605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.49  % (1517605)CaDiCaL version: 2.1.3
% 0.47/0.49  % (1517605)Termination reason: Refutation
% 0.47/0.49  % (1517605)Time elapsed: 0.059 s
% 0.47/0.49  % (1517605)Peak memory usage: 13 MB
% 0.47/0.49  % (1517605)Instructions burned: 100 (million)
% 0.47/0.49  % (1517597)Success in time 0.096 s
% 0.47/0.49  % Vampire exiting
%------------------------------------------------------------------------------