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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET831-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 12:42:03 PM UTC 2026

% Result   : Unsatisfiable 7.48s 2.05s
% Output   : Refutation 8.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  124 (  16 unt;   9 def)
%            Number of atoms       :  342 (  23 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  388 ( 170   ~; 211   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   83 (   0 sgn  83   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f207,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_inter(X1,X2,X3),X3)
      | c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).

fof(f208,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_inter(X1,X2,X3),X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).

fof(f209,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_inter(X3,X1,X2),X2)
      | ~ c_in(X0,X3,X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).

fof(f378,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(f379,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(f380,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(f381,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(f382,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2))
      | X0 = X1 ),
    inference(reorient_equations,[],[f381]) ).

fof(f1434,negated_conjecture,
    ( v_X = c_inter(v_Y,v_Z,t_a)
    | c_lessequals(v_X,v_Y,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1435,negated_conjecture,
    ( v_X = c_inter(v_Y,v_Z,t_a)
    | c_lessequals(v_X,v_Z,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1436,negated_conjecture,
    ( c_lessequals(v_x,v_Y,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | v_X != c_inter(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1437,negated_conjecture,
    ( c_lessequals(v_x,v_Z,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | v_X != c_inter(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1438,negated_conjecture,
    ( ~ c_lessequals(v_x,v_X,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Z,tc_set(t_a))
    | ~ c_lessequals(v_X,v_Y,tc_set(t_a))
    | v_X != c_inter(v_Y,v_Z,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1439,negated_conjecture,
    ! [X0] :
      ( v_X = c_inter(v_Y,v_Z,t_a)
      | c_lessequals(X0,v_X,tc_set(t_a))
      | ~ c_lessequals(X0,v_Z,tc_set(t_a))
      | ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1440,definition,
    sF0 = c_inter(v_Y,v_Z,t_a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f1441,plain,
    c_inter(v_Y,v_Z,t_a) = sF0,
    inference(reorient_equations,[],[f1440]) ).

fof(f1442,definition,
    sF1 = tc_set(t_a),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f1443,plain,
    tc_set(t_a) = sF1,
    inference(reorient_equations,[],[f1442]) ).

fof(f1444,plain,
    ( v_X = sF0
    | c_lessequals(v_X,v_Y,sF1) ),
    inference(definition_folding,[],[f1434,f1443,f1441]) ).

fof(f1445,plain,
    ( v_X = sF0
    | c_lessequals(v_X,v_Z,sF1) ),
    inference(definition_folding,[],[f1435,f1443,f1441]) ).

fof(f1446,plain,
    ( c_lessequals(v_x,v_Y,sF1)
    | ~ c_lessequals(v_X,v_Z,sF1)
    | ~ c_lessequals(v_X,v_Y,sF1)
    | v_X != sF0 ),
    inference(definition_folding,[],[f1436,f1441,f1443,f1443,f1443]) ).

fof(f1447,plain,
    ( c_lessequals(v_x,v_Z,sF1)
    | ~ c_lessequals(v_X,v_Z,sF1)
    | ~ c_lessequals(v_X,v_Y,sF1)
    | v_X != sF0 ),
    inference(definition_folding,[],[f1437,f1441,f1443,f1443,f1443]) ).

fof(f1448,plain,
    ( ~ c_lessequals(v_x,v_X,sF1)
    | ~ c_lessequals(v_X,v_Z,sF1)
    | ~ c_lessequals(v_X,v_Y,sF1)
    | v_X != sF0 ),
    inference(definition_folding,[],[f1438,f1441,f1443,f1443,f1443]) ).

fof(f1449,plain,
    ! [X0] :
      ( v_X = sF0
      | c_lessequals(X0,v_X,sF1)
      | ~ c_lessequals(X0,v_Z,sF1)
      | ~ c_lessequals(X0,v_Y,sF1) ),
    inference(definition_folding,[],[f1439,f1443,f1443,f1443,f1441]) ).

fof(f1451,definition,
    ( spl2_1
  <=> ! [X0] :
        ( c_lessequals(X0,v_X,sF1)
        | ~ c_lessequals(X0,v_Y,sF1)
        | ~ c_lessequals(X0,v_Z,sF1) ) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

fof(f1452,plain,
    ( ! [X0] :
        ( ~ c_lessequals(X0,v_Z,sF1)
        | ~ c_lessequals(X0,v_Y,sF1)
        | c_lessequals(X0,v_X,sF1) )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f1454,definition,
    ( spl2_2
  <=> v_X = sF0 ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

fof(f1455,plain,
    ( v_X != sF0
    | spl2_2 ),
    inference(avatar_component_clause,[],[f1454]) ).

fof(f1456,plain,
    ( v_X = sF0
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f1454]) ).

fof(f1457,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f1449,f1454,f1451]) ).

fof(f1459,definition,
    ( spl2_3
  <=> c_lessequals(v_X,v_Y,sF1) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

fof(f1460,plain,
    ( c_lessequals(v_X,v_Y,sF1)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f1461,plain,
    ( ~ c_lessequals(v_X,v_Y,sF1)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f1459]) ).

fof(f1463,definition,
    ( spl2_4
  <=> c_lessequals(v_X,v_Z,sF1) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

fof(f1464,plain,
    ( c_lessequals(v_X,v_Z,sF1)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f1463]) ).

fof(f1467,definition,
    ( spl2_5
  <=> c_lessequals(v_x,v_X,sF1) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

fof(f1469,plain,
    ( ~ c_lessequals(v_x,v_X,sF1)
    | spl2_5 ),
    inference(avatar_component_clause,[],[f1467]) ).

fof(f1470,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f1448,f1467,f1463,f1459,f1454]) ).

fof(f1472,definition,
    ( spl2_6
  <=> c_lessequals(v_x,v_Z,sF1) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

fof(f1474,plain,
    ( c_lessequals(v_x,v_Z,sF1)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f1472]) ).

fof(f1475,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_6 ),
    inference(avatar_split_clause,[],[f1447,f1472,f1463,f1459,f1454]) ).

fof(f1477,definition,
    ( spl2_7
  <=> c_lessequals(v_x,v_Y,sF1) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

fof(f1479,plain,
    ( c_lessequals(v_x,v_Y,sF1)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f1480,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_7 ),
    inference(avatar_split_clause,[],[f1446,f1477,f1463,f1459,f1454]) ).

fof(f1481,plain,
    ( spl2_4
    | spl2_2 ),
    inference(avatar_split_clause,[],[f1445,f1454,f1463]) ).

fof(f1482,plain,
    ( spl2_3
    | spl2_2 ),
    inference(avatar_split_clause,[],[f1444,f1454,f1459]) ).

fof(f1485,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X1,X0,sF1)
      | ~ c_lessequals(X0,X1,sF1)
      | X0 = X1 ),
    inference(superposition,[],[f382,f1443]) ).

fof(f1490,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,sF1)
      | ~ c_in(X2,X0,t_a)
      | c_in(X2,X1,t_a) ),
    inference(superposition,[],[f378,f1443]) ).

fof(f1492,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
      | c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f207,f379]) ).

fof(f1493,plain,
    ! [X0] :
      ( ~ c_in(X0,sF0,t_a)
      | c_in(X0,v_Z,t_a) ),
    inference(superposition,[],[f207,f1441]) ).

fof(f1494,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_X,t_a)
        | c_in(X0,v_Z,t_a) )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1493,f1456]) ).

fof(f1495,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
        | c_lessequals(v_X,X0,tc_set(t_a)) )
    | ~ spl2_2 ),
    inference(resolution,[],[f1494,f379]) ).

fof(f1496,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
        | c_lessequals(v_X,X0,sF1) )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1495,f1443]) ).

fof(f1497,plain,
    ( c_lessequals(v_X,v_Z,sF1)
    | c_lessequals(v_X,v_Z,tc_set(t_a))
    | ~ spl2_2 ),
    inference(resolution,[],[f1496,f380]) ).

fof(f1498,plain,
    ( c_lessequals(v_X,v_Z,sF1)
    | c_lessequals(v_X,v_Z,sF1)
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1497,f1443]) ).

fof(f1499,plain,
    ( c_lessequals(v_X,v_Z,sF1)
    | ~ spl2_2 ),
    inference(duplicate_literal_removal,[],[f1498]) ).

fof(f1500,plain,
    ( spl2_4
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f1499,f1454,f1463]) ).

fof(f1501,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_X,t_a)
        | c_in(X0,v_Z,t_a) )
    | ~ spl2_4 ),
    inference(resolution,[],[f1464,f1490]) ).

fof(f1512,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
      | c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
    inference(resolution,[],[f1492,f380]) ).

fof(f1516,plain,
    ! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
    inference(duplicate_literal_removal,[],[f1512]) ).

fof(f1523,plain,
    c_lessequals(sF0,v_Z,tc_set(t_a)),
    inference(superposition,[],[f1516,f1441]) ).

fof(f1525,plain,
    c_lessequals(sF0,v_Z,sF1),
    inference(forward_demodulation,[],[f1523,f1443]) ).

fof(f1527,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
      | c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f208,f379]) ).

fof(f1529,plain,
    ! [X0] :
      ( ~ c_in(X0,sF0,t_a)
      | c_in(X0,v_Y,t_a) ),
    inference(superposition,[],[f208,f1441]) ).

fof(f1530,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_X,t_a)
        | c_in(X0,v_Y,t_a) )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1529,f1456]) ).

fof(f1531,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)) )
    | ~ spl2_2 ),
    inference(resolution,[],[f1530,f379]) ).

fof(f1534,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
        | c_lessequals(v_X,X0,sF1) )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1531,f1443]) ).

fof(f1535,plain,
    ( c_lessequals(v_X,v_Y,sF1)
    | c_lessequals(v_X,v_Y,tc_set(t_a))
    | ~ spl2_2 ),
    inference(resolution,[],[f1534,f380]) ).

fof(f1536,plain,
    ( c_lessequals(v_X,v_Y,tc_set(t_a))
    | ~ spl2_2
    | spl2_3 ),
    inference(forward_subsumption_resolution,[],[f1535,f1461]) ).

fof(f1537,plain,
    ( c_lessequals(v_X,v_Y,sF1)
    | ~ spl2_2
    | spl2_3 ),
    inference(forward_demodulation,[],[f1536,f1443]) ).

fof(f1538,plain,
    ( $false
    | ~ spl2_2
    | spl2_3 ),
    inference(forward_subsumption_resolution,[],[f1537,f1461]) ).

fof(f1539,plain,
    ( ~ spl2_2
    | spl2_3 ),
    inference(avatar_contradiction_clause,[],[f1538]) ).

fof(f1540,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_x,t_a)
        | c_in(X0,v_Y,t_a) )
    | ~ spl2_7 ),
    inference(resolution,[],[f1479,f1490]) ).

fof(f1551,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_x,t_a)
        | c_in(X0,v_Z,t_a) )
    | ~ spl2_6 ),
    inference(resolution,[],[f1474,f1490]) ).

fof(f1562,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_X,t_a)
        | c_in(X0,v_Y,t_a) )
    | ~ spl2_3 ),
    inference(resolution,[],[f1460,f1490]) ).

fof(f1573,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a)
        | c_lessequals(v_x,X0,tc_set(t_a)) )
    | ~ spl2_6 ),
    inference(resolution,[],[f1551,f379]) ).

fof(f1576,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a)
        | c_lessequals(v_x,X0,sF1) )
    | ~ spl2_6 ),
    inference(forward_demodulation,[],[f1573,f1443]) ).

fof(f1578,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)) )
    | ~ spl2_7 ),
    inference(resolution,[],[f1540,f379]) ).

fof(f1581,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)
        | c_lessequals(v_x,X0,sF1) )
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f1578,f1443]) ).

fof(f1583,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
      | c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
    inference(resolution,[],[f1527,f380]) ).

fof(f1591,plain,
    ! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
    inference(duplicate_literal_removal,[],[f1583]) ).

fof(f1601,plain,
    c_lessequals(sF0,v_Y,tc_set(t_a)),
    inference(superposition,[],[f1591,f1441]) ).

fof(f1603,plain,
    c_lessequals(sF0,v_Y,sF1),
    inference(forward_demodulation,[],[f1601,f1443]) ).

fof(f1622,plain,
    ! [X0] :
      ( ~ c_in(X0,v_Z,t_a)
      | ~ c_in(X0,v_Y,t_a)
      | c_in(X0,sF0,t_a) ),
    inference(superposition,[],[f209,f1441]) ).

fof(f1623,plain,
    ( ! [X0] :
        ( ~ c_in(X0,v_Z,t_a)
        | ~ c_in(X0,v_Y,t_a)
        | c_in(X0,v_X,t_a) )
    | ~ spl2_2 ),
    inference(forward_demodulation,[],[f1622,f1456]) ).

fof(f1625,plain,
    ( ! [X0] :
        ( ~ c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)
        | c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_X,t_a)
        | c_lessequals(v_x,X0,sF1) )
    | ~ spl2_2
    | ~ spl2_6 ),
    inference(resolution,[],[f1623,f1576]) ).

fof(f1634,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_X,t_a)
        | c_lessequals(v_x,X0,sF1) )
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_subsumption_resolution,[],[f1625,f1581]) ).

fof(f1636,plain,
    ( c_lessequals(v_x,v_X,sF1)
    | c_lessequals(v_x,v_X,tc_set(t_a))
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(resolution,[],[f1634,f380]) ).

fof(f1639,plain,
    ( c_lessequals(v_x,v_X,tc_set(t_a))
    | ~ spl2_2
    | spl2_5
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_subsumption_resolution,[],[f1636,f1469]) ).

fof(f1640,plain,
    ( c_lessequals(v_x,v_X,sF1)
    | ~ spl2_2
    | spl2_5
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_demodulation,[],[f1639,f1443]) ).

fof(f1641,plain,
    ( $false
    | ~ spl2_2
    | spl2_5
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(forward_subsumption_resolution,[],[f1640,f1469]) ).

fof(f1642,plain,
    ( ~ spl2_2
    | spl2_5
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(avatar_contradiction_clause,[],[f1641]) ).

fof(f1679,plain,
    ( ~ c_lessequals(sF0,v_Y,sF1)
    | c_lessequals(sF0,v_X,sF1)
    | ~ spl2_1 ),
    inference(resolution,[],[f1525,f1452]) ).

fof(f1691,plain,
    ( c_lessequals(sF0,v_X,sF1)
    | ~ spl2_1 ),
    inference(forward_subsumption_resolution,[],[f1679,f1603]) ).

fof(f1693,plain,
    ( ~ c_lessequals(v_X,sF0,sF1)
    | v_X = sF0
    | ~ spl2_1 ),
    inference(resolution,[],[f1691,f1485]) ).

fof(f1694,plain,
    ( ~ c_lessequals(v_X,sF0,sF1)
    | ~ spl2_1
    | spl2_2 ),
    inference(forward_subsumption_resolution,[],[f1693,f1455]) ).

fof(f1714,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
        | c_lessequals(v_X,X0,tc_set(t_a)) )
    | ~ spl2_4 ),
    inference(resolution,[],[f1501,f379]) ).

fof(f1719,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
        | c_lessequals(v_X,X0,sF1) )
    | ~ spl2_4 ),
    inference(forward_demodulation,[],[f1714,f1443]) ).

fof(f1722,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)) )
    | ~ spl2_3 ),
    inference(resolution,[],[f1562,f379]) ).

fof(f1727,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
        | c_lessequals(v_X,X0,sF1) )
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f1722,f1443]) ).

fof(f1730,plain,
    ( ! [X0] :
        ( ~ c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
        | c_in(c_Main_OsubsetI__1(v_X,X0,t_a),sF0,t_a)
        | c_lessequals(v_X,X0,sF1) )
    | ~ spl2_4 ),
    inference(resolution,[],[f1622,f1719]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),sF0,t_a)
        | c_lessequals(v_X,X0,sF1) )
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(forward_subsumption_resolution,[],[f1730,f1727]) ).

fof(f1741,plain,
    ( c_lessequals(v_X,sF0,sF1)
    | c_lessequals(v_X,sF0,tc_set(t_a))
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(resolution,[],[f1739,f380]) ).

fof(f1742,plain,
    ( c_lessequals(v_X,sF0,tc_set(t_a))
    | ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(forward_subsumption_resolution,[],[f1741,f1694]) ).

fof(f1743,plain,
    ( c_lessequals(v_X,sF0,sF1)
    | ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(forward_demodulation,[],[f1742,f1443]) ).

fof(f1744,plain,
    ( $false
    | ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(forward_subsumption_resolution,[],[f1743,f1694]) ).

fof(f1745,plain,
    ( ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(avatar_contradiction_clause,[],[f1744]) ).

cnf(s1,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f1457]) ).

cnf(s2,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | ~ spl2_5 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s3,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_6 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s4,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | ~ spl2_4
    | spl2_7 ),
    inference(sat_conversion,[],[f1480]) ).

cnf(s5,plain,
    ( spl2_2
    | spl2_4 ),
    inference(sat_conversion,[],[f1481]) ).

cnf(s6,plain,
    ( spl2_2
    | spl2_3 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s7,plain,
    ( ~ spl2_2
    | spl2_4 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s9,plain,
    ( ~ spl2_2
    | spl2_3 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s13,plain,
    ( ~ spl2_2
    | spl2_5
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(sat_conversion,[],[f1642]) ).

cnf(s20,plain,
    ( ~ spl2_1
    | spl2_2
    | ~ spl2_3
    | ~ spl2_4 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s21,plain,
    ( ~ spl2_3
    | ~ spl2_2
    | ~ spl2_4 ),
    inference(rat,[],[s13,s2,s3,s4]) ).

cnf(s22,plain,
    ~ spl2_2,
    inference(rat,[],[s21,s7,s9]) ).

cnf(s23,plain,
    spl2_3,
    inference(rat,[],[s6,s22]) ).

cnf(s24,plain,
    spl2_4,
    inference(rat,[],[s5,s22]) ).

cnf(s25,plain,
    spl2_1,
    inference(rat,[],[s1,s22]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s20,s24,s22,s23,s25]) ).

fof(f1746,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET831-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n008.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
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 02:56:54 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.48/2.05  % (1822078)Input is clausal, will run a generic CNF schedule.
% 7.48/2.05  % (1822086)lrs+10_1_sil=8000:sp=occurrence:random_seed=606306943:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.48/2.05  % (1822086)Refutation not found, incomplete strategy
% 7.48/2.05  % (1822086)------------------------------
% 7.48/2.05  % (1822086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822086)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822086)Termination reason: Refutation not found, incomplete strategy
% 7.48/2.05  % (1822086)Time elapsed: 0.002 s
% 7.48/2.05  % (1822086)Peak memory usage: 89 MB
% 7.48/2.05  % (1822086)Instructions burned: 4 (million)
% 7.48/2.05  % (1822085)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1413617963:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.48/2.05  % (1822083)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2737389648:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.48/2.05  % (1822084)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2370390651:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.48/2.05  % (1822087)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3006727651:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.48/2.05  % (1822088)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3773090245:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.48/2.05  % (1822089)dis-21_1_sil=8000:lcm=predicate:random_seed=1427562883:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.48/2.05  % (1822087)Instruction limit reached! 
% 7.48/2.05  % (1822087)------------------------------
% 7.48/2.05  % (1822087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822087)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822087)Termination reason: Instruction limit
% 7.48/2.05  % (1822087)Termination phase: Saturation
% 7.48/2.05  % (1822087)Time elapsed: 0.065 s
% 7.48/2.05  % (1822087)Peak memory usage: 89 MB
% 7.48/2.05  % (1822087)Instructions burned: 114 (million)
% 7.48/2.05  % (1822089)Instruction limit reached! 
% 7.48/2.05  % (1822089)------------------------------
% 7.48/2.05  % (1822089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822089)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822089)Termination reason: Instruction limit
% 7.48/2.05  % (1822089)Termination phase: Saturation
% 7.48/2.05  % (1822089)Time elapsed: 0.068 s
% 7.48/2.05  % (1822089)Peak memory usage: 89 MB
% 7.48/2.05  % (1822089)Instructions burned: 117 (million)
% 7.48/2.05  % (1822086)------------------------------
% 7.48/2.05  % (1822086)------------------------------
% 7.48/2.05  % (1822088)Instruction limit reached! 
% 7.48/2.05  % (1822088)------------------------------
% 7.48/2.05  % (1822088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822088)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822088)Termination reason: Instruction limit
% 7.48/2.05  % (1822088)Termination phase: Saturation
% 7.48/2.05  % (1822088)Time elapsed: 0.119 s
% 7.48/2.05  % (1822088)Peak memory usage: 90 MB
% 7.48/2.05  % (1822088)Instructions burned: 180 (million)
% 7.48/2.05  % (1822097)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2397822071:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.48/2.05  % (1822097)Refutation not found, incomplete strategy
% 7.48/2.05  % (1822097)------------------------------
% 7.48/2.05  % (1822097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822097)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822097)Termination reason: Refutation not found, incomplete strategy
% 7.48/2.05  % (1822097)Time elapsed: 0.004 s
% 7.48/2.05  % (1822097)Peak memory usage: 89 MB
% 7.48/2.05  % (1822097)Instructions burned: 4 (million)
% 7.48/2.05  % (1822099)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=831037238:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.48/2.05  % (1822098)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=220871618:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.48/2.05  % (1822099)Refutation not found, incomplete strategy
% 7.48/2.05  % (1822099)------------------------------
% 7.48/2.05  % (1822099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822099)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822099)Termination reason: Refutation not found, incomplete strategy
% 7.48/2.05  % (1822099)Time elapsed: 0.005 s
% 7.48/2.05  % (1822099)Peak memory usage: 89 MB
% 7.48/2.05  % (1822099)Instructions burned: 12 (million)
% 7.48/2.05  % (1822100)lrs+10_64_to=lpo:sil=8000:random_seed=3547032200:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.48/2.05  % (1822098)Instruction limit reached! 
% 7.48/2.05  % (1822098)------------------------------
% 7.48/2.05  % (1822098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822098)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822098)Termination reason: Instruction limit
% 7.48/2.05  % (1822098)Termination phase: Saturation
% 7.48/2.05  % (1822098)Time elapsed: 0.113 s
% 7.48/2.05  % (1822098)Peak memory usage: 91 MB
% 7.48/2.05  % (1822098)Instructions burned: 189 (million)
% 7.48/2.05  % (1822100)Instruction limit reached! 
% 7.48/2.05  % (1822100)------------------------------
% 7.48/2.05  % (1822100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822100)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822100)Termination reason: Instruction limit
% 7.48/2.05  % (1822100)Termination phase: Saturation
% 7.48/2.05  % (1822100)Time elapsed: 0.080 s
% 7.48/2.05  % (1822100)Peak memory usage: 90 MB
% 7.48/2.05  % (1822100)Instructions burned: 126 (million)
% 7.48/2.05  % (1822099)------------------------------
% 7.48/2.05  % (1822099)------------------------------
% 7.48/2.05  % (1822097)------------------------------
% 7.48/2.05  % (1822097)------------------------------
% 7.48/2.05  % (1822105)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=677819012:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 7.48/2.05  % (1822107)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=990744098:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.48/2.05  % (1822106)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1217403568:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.48/2.05  % (1822106)Instruction limit reached! 
% 7.48/2.05  % (1822106)------------------------------
% 7.48/2.05  % (1822106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822106)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822106)Termination reason: Instruction limit
% 7.48/2.05  % (1822106)Termination phase: Saturation
% 7.48/2.05  % (1822106)Time elapsed: 0.093 s
% 7.48/2.05  % (1822106)Peak memory usage: 91 MB
% 7.48/2.05  % (1822106)Instructions burned: 158 (million)
% 7.48/2.05  % (1822108)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2847065084:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.48/2.05  % (1822105)Instruction limit reached! 
% 7.48/2.05  % (1822105)------------------------------
% 7.48/2.05  % (1822105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822105)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822105)Termination reason: Instruction limit
% 7.48/2.05  % (1822105)Termination phase: Saturation
% 7.48/2.05  % (1822105)Time elapsed: 0.135 s
% 7.48/2.05  % (1822105)Peak memory usage: 90 MB
% 7.48/2.05  % (1822105)Instructions burned: 195 (million)
% 7.48/2.05  % (1822108)Instruction limit reached! 
% 7.48/2.05  % (1822108)------------------------------
% 7.48/2.05  % (1822108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822108)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822108)Termination reason: Instruction limit
% 7.48/2.05  % (1822108)Termination phase: Saturation
% 7.48/2.05  % (1822108)Time elapsed: 0.059 s
% 7.48/2.05  % (1822108)Peak memory usage: 89 MB
% 7.48/2.05  % (1822108)Instructions burned: 107 (million)
% 7.48/2.05  % (1822083)First to succeed.
% 7.48/2.05  % (1822083)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1822078"
% 7.48/2.05  % (1822112)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2520842640:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.48/2.05  % (1822085)Also succeeded, but the first one will report.
% 7.48/2.05  % (1822114)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3313082679:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 7.48/2.05  % (1822112)Instruction limit reached! 
% 7.48/2.05  % (1822112)------------------------------
% 7.48/2.05  % (1822112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822112)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822112)Termination reason: Instruction limit
% 7.48/2.05  % (1822112)Termination phase: Saturation
% 7.48/2.05  % (1822112)Time elapsed: 0.071 s
% 7.48/2.05  % (1822112)Peak memory usage: 89 MB
% 7.48/2.05  % (1822112)Instructions burned: 108 (million)
% 7.48/2.05  % (1822115)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1465297407:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.48/2.05  % (1822114)Instruction limit reached! 
% 7.48/2.05  % (1822114)------------------------------
% 7.48/2.05  % (1822114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.05  % (1822114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.05  % (1822114)CaDiCaL version: 2.1.3
% 7.48/2.05  % (1822114)Termination reason: Instruction limit
% 7.48/2.05  % (1822114)Termination phase: Saturation
% 7.48/2.05  % (1822114)Time elapsed: 0.128 s
% 7.48/2.05  % (1822114)Peak memory usage: 89 MB
% 7.48/2.05  % (1822114)Instructions burned: 244 (million)
% 7.48/2.05  % (1822118)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4035216345:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 7.48/2.05  % (1822083)Refutation found. Thanks to Tanya!
% 7.48/2.05  % SZS status Unsatisfiable for theBenchmark
% 7.48/2.05  % SZS output start Proof for theBenchmark
% See solution above
% 8.92/2.25  % (1822083)------------------------------
% 8.92/2.25  % (1822083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.25  % (1822083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.25  % (1822083)CaDiCaL version: 2.1.3
% 8.92/2.25  % (1822083)Termination reason: Refutation
% 8.92/2.25  % (1822083)Time elapsed: 0.748 s
% 8.92/2.25  % (1822083)Peak memory usage: 135 MB
% 8.92/2.25  % (1822083)Instructions burned: 1132 (million)
% 8.92/2.25  % (1822083)------------------------------
% 8.92/2.25  % (1822083)------------------------------
% 8.92/2.25  % (1822078)Success in time 1.205 s
% 8.92/2.25  % Vampire exiting
%------------------------------------------------------------------------------