↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL892+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 11:56:57 AM UTC 2026

% Result   : Theorem 43.21s 7.03s
% Output   : Refutation 44.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  185 (  96 unt;   7 def)
%            Number of atoms       :  312 (  85 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  236 ( 109   ~; 103   |;  11   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  248 (   0 sgn 242   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).

fof(f2,axiom,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f3,axiom,
    ! [X0] : '+'(X0,'0') = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

fof(f4,axiom,
    ! [X0] : '>='(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( '>='(X0,X1)
        & '>='(X1,X2) )
     => '>='(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( '>='(X0,X1)
        & '>='(X1,X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( '>='('+'(X0,X1),X2)
    <=> '>='(X1,'==>'(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

fof(f8,axiom,
    ! [X0] : '>='(X0,'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('+'(X0,X2),'+'(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('==>'(X1,X2),'==>'(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('==>'(X2,X0),'==>'(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).

fof(f12,axiom,
    ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( ( '>='('==>'(X0,X1),X0)
        & X2 = '==>'(X2,X1) )
     => '>='(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( '>='('==>'(X0,X1),X0)
          & X2 = '==>'(X2,X1) )
       => '>='(X2,X0) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( '>='(X0,X2)
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( '>='(X0,X2)
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X2) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X0) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( '>='('+'(X0,X2),'+'(X1,X2))
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( '>='('==>'(X1,X2),'==>'(X0,X2))
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( '>='('==>'(X2,X0),'==>'(X2,X1))
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( ~ '>='(X2,X0)
      & '>='('==>'(X0,X1),X0)
      & X2 = '==>'(X2,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f24,plain,
    ? [X0,X1,X2] :
      ( ~ '>='(X2,X0)
      & '>='('==>'(X0,X1),X0)
      & X2 = '==>'(X2,X1) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( '>='('+'(X0,X1),X2)
        | ~ '>='(X1,'==>'(X0,X2)) )
      & ( '>='(X1,'==>'(X0,X2))
        | ~ '>='('+'(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f26,plain,
    ( ~ '>='(sK2,sK0)
    & '>='('==>'(sK0,sK1),sK0)
    & sK2 = '==>'(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f24]) ).

fof(f27,plain,
    ! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    inference(cnf_transformation,[],[f1]) ).

fof(f28,plain,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f29,plain,
    ! [X0] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f30,plain,
    ! [X0] : '>='(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,X2)
      | ~ '>='(X0,X1)
      | '>='(X0,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'(X0,X1),X2)
      | '>='(X1,'==>'(X0,X2)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,'==>'(X0,X2))
      | '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f35,plain,
    ! [X0] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f8]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( '>='('+'(X0,X2),'+'(X1,X2))
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( '>='('==>'(X1,X2),'==>'(X0,X2))
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( '>='('==>'(X2,X0),'==>'(X2,X1))
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f39,plain,
    ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f41,plain,
    sK2 = '==>'(sK2,sK1),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    '>='('==>'(sK0,sK1),sK0),
    inference(cnf_transformation,[],[f26]) ).

fof(f43,plain,
    ~ '>='(sK2,sK0),
    inference(cnf_transformation,[],[f26]) ).

fof(f44,definition,
    sF3 = '==>'(sK0,sK1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f45,plain,
    '==>'(sK0,sK1) = sF3,
    inference(reorient_equations,[],[f44]) ).

fof(f46,plain,
    '>='(sF3,sK0),
    inference(definition_folding,[],[f42,f45]) ).

fof(f47,definition,
    sF4 = '==>'(sK2,sK1),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f48,plain,
    '==>'(sK2,sK1) = sF4,
    inference(reorient_equations,[],[f47]) ).

fof(f49,plain,
    sK2 = sF4,
    inference(definition_folding,[],[f41,f48]) ).

fof(f50,plain,
    sK2 = '==>'(sK2,sK1),
    inference(forward_demodulation,[],[f48,f49]) ).

fof(f51,plain,
    ! [X0] :
      ( '>='('+'(sK2,X0),sK1)
      | ~ '>='(X0,sK2) ),
    inference(superposition,[],[f34,f50]) ).

fof(f52,plain,
    ! [X0] :
      ( '>='('+'(sK0,X0),sK1)
      | ~ '>='(X0,sF3) ),
    inference(superposition,[],[f34,f45]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( '>='('+'(X2,'==>'(X2,X0)),X1)
      | ~ '>='(X0,X1) ),
    inference(resolution,[],[f38,f34]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( '>='('+'(X0,'==>'(X1,X2)),X2)
      | ~ '>='(X0,X1) ),
    inference(resolution,[],[f37,f34]) ).

fof(f63,plain,
    ! [X0] :
      ( '>='('==>'(X0,sK1),sK2)
      | ~ '>='(sK2,X0) ),
    inference(superposition,[],[f37,f50]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'(X0,X1),X2)
      | '>='(X0,'==>'(X1,X2)) ),
    inference(superposition,[],[f33,f28]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ '>='(X0,sF3)
      | '>='(X0,sK0) ),
    inference(resolution,[],[f31,f46]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'(X0,X1),'==>'(X2,X1))
      | '==>'(X2,X1) = '==>'(X0,X1)
      | ~ '>='(X0,X2) ),
    inference(resolution,[],[f32,f37]) ).

fof(f102,plain,
    ! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'('+'(X0,'==>'(X0,X1)),X2),
    inference(superposition,[],[f27,f39]) ).

fof(f104,plain,
    ! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X1,'+'(X0,X2)),
    inference(superposition,[],[f27,f28]) ).

fof(f118,plain,
    ! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'(X1,'+'(X0,X2)),
    inference(forward_demodulation,[],[f104,f27]) ).

fof(f120,plain,
    ! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'(X0,'+'('==>'(X0,X1),X2)),
    inference(forward_demodulation,[],[f102,f27]) ).

fof(f157,plain,
    ! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
    inference(resolution,[],[f30,f33]) ).

fof(f158,plain,
    ! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
    inference(resolution,[],[f30,f34]) ).

fof(f162,plain,
    ! [X0,X1] : '>='(X0,'==>'('==>'(X0,X1),X1)),
    inference(resolution,[],[f158,f66]) ).

fof(f164,plain,
    ! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2)))),X2),
    inference(resolution,[],[f158,f34]) ).

fof(f207,definition,
    ( spl5_7
  <=> sK1 = '+'(sK2,sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).

fof(f209,plain,
    ( sK1 = '+'(sK2,sK2)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f253,plain,
    ! [X2,X3,X0,X1] :
      ( ~ '>='('+'(X0,'+'('==>'(X0,X1),X2)),X3)
      | '>='('+'('==>'(X1,X0),X2),'==>'(X1,X3)) ),
    inference(superposition,[],[f33,f120]) ).

fof(f301,plain,
    ! [X0] : '+'('0',X0) = X0,
    inference(superposition,[],[f28,f29]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( '>='('0','==>'(X0,X1))
      | ~ '>='(X0,X1) ),
    inference(superposition,[],[f33,f29]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( '>='('+'(X1,X0),X0)
      | ~ '>='(X1,'0') ),
    inference(superposition,[],[f36,f301]) ).

fof(f350,plain,
    ! [X0] : '>='('==>'('0',X0),X0),
    inference(superposition,[],[f158,f301]) ).

fof(f354,plain,
    ! [X0,X1] : '>='('+'(X1,X0),X0),
    inference(forward_subsumption_resolution,[],[f343,f35]) ).

fof(f356,plain,
    ! [X0,X1] : '>='(X0,'==>'(X1,X0)),
    inference(resolution,[],[f354,f33]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( '>='('+'('==>'(X0,X1),X2),X1)
      | ~ '>='(X2,X0) ),
    inference(superposition,[],[f60,f28]) ).

fof(f398,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'('==>'(X1,X2),X0),X1)
      | '>='('+'(X0,'==>'(X0,'==>'(X1,X2))),X2) ),
    inference(superposition,[],[f381,f39]) ).

fof(f405,plain,
    ! [X0] :
      ( '>='('+'(sK2,sK2),X0)
      | ~ '>='(sK1,X0) ),
    inference(superposition,[],[f53,f50]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ '>='(X0,'==>'('0',X0))
      | '==>'('0',X0) = X0 ),
    inference(resolution,[],[f350,f32]) ).

fof(f459,plain,
    ! [X0] : '==>'('0',X0) = X0,
    inference(forward_subsumption_resolution,[],[f456,f356]) ).

fof(f481,plain,
    ( '>='(sK1,sK2)
    | ~ '>='(sK2,'0') ),
    inference(superposition,[],[f63,f459]) ).

fof(f483,plain,
    '>='(sK1,sK2),
    inference(forward_subsumption_resolution,[],[f481,f35]) ).

fof(f515,plain,
    ( ~ '>='(sK1,sF3)
    | '>='('+'(sK2,sK2),sK0) ),
    inference(resolution,[],[f405,f76]) ).

fof(f517,definition,
    ( spl5_18
  <=> '>='('+'(sK2,sK2),sK0) ),
    introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).

fof(f519,plain,
    ( '>='('+'(sK2,sK2),sK0)
    | ~ spl5_18 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f521,definition,
    ( spl5_19
  <=> '>='(sK1,sF3) ),
    introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ '>='(sK1,sF3)
    | spl5_19 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f524,plain,
    ( spl5_18
    | ~ spl5_19 ),
    inference(avatar_split_clause,[],[f515,f521,f517]) ).

fof(f526,plain,
    ! [X0,X1] :
      ( ~ '>='('==>'(X0,'+'(X0,X1)),X1)
      | '==>'(X0,'+'(X0,X1)) = X1 ),
    inference(resolution,[],[f157,f32]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( ~ '>='('==>'(X1,'+'(X0,X1)),X0)
      | '==>'(X1,'+'(X0,X1)) = X0 ),
    inference(superposition,[],[f526,f28]) ).

fof(f637,plain,
    ! [X0,X1] :
      ( ~ '>='(X0,X1)
      | ~ '>='('==>'(X0,X1),'0')
      | '0' = '==>'(X0,X1) ),
    inference(resolution,[],[f302,f32]) ).

fof(f647,plain,
    ! [X0,X1] :
      ( ~ '>='(X0,X1)
      | '0' = '==>'(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f637,f35]) ).

fof(f651,plain,
    ! [X0] : '0' = '==>'(X0,'0'),
    inference(resolution,[],[f647,f35]) ).

fof(f658,plain,
    ! [X0,X1] : '0' = '==>'('+'(X0,X1),X1),
    inference(resolution,[],[f647,f354]) ).

fof(f677,plain,
    '0' = '==>'(sK1,sK2),
    inference(resolution,[],[f647,f483]) ).

fof(f680,plain,
    '0' = '==>'(sF3,sK0),
    inference(resolution,[],[f647,f46]) ).

fof(f835,plain,
    ! [X0,X1] : '>='('+'('==>'(X0,X1),X0),X1),
    inference(resolution,[],[f162,f34]) ).

fof(f955,plain,
    '+'(sK2,'==>'(sK2,sK1)) = '+'(sK1,'0'),
    inference(superposition,[],[f39,f677]) ).

fof(f980,plain,
    sK1 = '+'(sK2,'==>'(sK2,sK1)),
    inference(forward_demodulation,[],[f955,f29]) ).

fof(f986,plain,
    sK1 = '+'(sK2,sK2),
    inference(forward_demodulation,[],[f980,f50]) ).

fof(f988,plain,
    spl5_7,
    inference(avatar_split_clause,[],[f986,f207]) ).

fof(f1244,plain,
    '>='(sK1,sF3),
    inference(superposition,[],[f356,f45]) ).

fof(f1247,plain,
    ( $false
    | spl5_19 ),
    inference(forward_subsumption_resolution,[],[f1244,f523]) ).

fof(f1248,plain,
    spl5_19,
    inference(avatar_contradiction_clause,[],[f1247]) ).

fof(f1249,plain,
    ( '>='(sK1,sK0)
    | ~ spl5_7
    | ~ spl5_18 ),
    inference(forward_demodulation,[],[f519,f209]) ).

fof(f2032,plain,
    ! [X2,X0,X1] : '>='('+'('==>'(X0,X1),'==>'('==>'(X1,X0),'==>'(X1,X2))),'==>'(X0,X2)),
    inference(resolution,[],[f253,f164]) ).

fof(f2038,plain,
    ! [X0,X1] :
      ( '>='('+'('==>'(X0,sK2),X1),'==>'(X0,sK1))
      | ~ '>='('+'('==>'(sK2,X0),X1),sK2) ),
    inference(resolution,[],[f253,f51]) ).

fof(f2039,plain,
    ! [X0,X1] :
      ( '>='('+'('==>'(X0,sK0),X1),'==>'(X0,sK1))
      | ~ '>='('+'('==>'(sK0,X0),X1),sF3) ),
    inference(resolution,[],[f253,f52]) ).

fof(f2151,plain,
    ! [X0] :
      ( ~ '>='('+'('==>'(sK2,sK0),X0),sK2)
      | '>='('+'('==>'(sK0,sK2),X0),sF3) ),
    inference(superposition,[],[f2038,f45]) ).

fof(f2168,plain,
    ! [X2,X0,X1] : '>='('==>'('==>'(X0,X1),'==>'(X0,X2)),'==>'('==>'(X1,X0),'==>'(X1,X2))),
    inference(resolution,[],[f2032,f33]) ).

fof(f2306,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'('==>'(X0,X1),'==>'(X0,X2)),'==>'('==>'(X1,X0),'==>'(X1,X2)))
      | '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'('==>'(X0,X1),'==>'(X0,X2)) ),
    inference(resolution,[],[f2168,f32]) ).

fof(f2404,plain,
    ! [X2,X0,X1] : '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'('==>'(X0,X1),'==>'(X0,X2)),
    inference(forward_subsumption_resolution,[],[f2306,f2168]) ).

fof(f2470,plain,
    ! [X0] : '==>'('==>'(sK2,sK1),'==>'(sK2,X0)) = '==>'('0','==>'(sK1,X0)),
    inference(superposition,[],[f2404,f677]) ).

fof(f2482,plain,
    ! [X0] : '==>'('==>'(sK2,X0),sK2) = '==>'('==>'(X0,sK2),'==>'(X0,sK1)),
    inference(superposition,[],[f2404,f50]) ).

fof(f2553,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,X2),'==>'('==>'(X1,X2),'==>'(X1,X0))),
    inference(superposition,[],[f39,f2404]) ).

fof(f2607,plain,
    ! [X0] : '==>'(sK1,X0) = '==>'('==>'(sK2,sK1),'==>'(sK2,X0)),
    inference(forward_demodulation,[],[f2470,f459]) ).

fof(f2636,plain,
    ! [X0] : '==>'(sK1,X0) = '==>'(sK2,'==>'(sK2,X0)),
    inference(forward_demodulation,[],[f2607,f50]) ).

fof(f3029,plain,
    '==>'('==>'(sK2,sK0),sK2) = '==>'('==>'(sK0,sK2),sF3),
    inference(superposition,[],[f2482,f45]) ).

fof(f3728,plain,
    ( '0' = '==>'(sK1,sK0)
    | ~ spl5_7
    | ~ spl5_18 ),
    inference(resolution,[],[f1249,f647]) ).

fof(f3794,plain,
    ! [X0] :
      ( ~ '>='('+'('==>'(sK0,sK2),X0),sF3)
      | '>='('+'('==>'(sK2,sK0),X0),sK2) ),
    inference(superposition,[],[f2039,f50]) ).

fof(f3903,plain,
    ! [X0] :
      ( '>='('+'('==>'(sK2,sK0),'==>'(X0,sF3)),sK2)
      | ~ '>='('==>'(sK0,sK2),X0) ),
    inference(resolution,[],[f3794,f60]) ).

fof(f6567,plain,
    ! [X2,X3,X0,X1] :
      ( ~ '>='('+'(X0,'+'(X1,X2)),X3)
      | '>='('+'(X0,X2),'==>'(X1,X3)) ),
    inference(superposition,[],[f33,f118]) ).

fof(f6764,plain,
    ! [X0,X1] :
      ( '==>'(X0,X1) = '==>'(X0,'+'('==>'(X0,X1),X0))
      | ~ '>='('+'('==>'(X0,X1),X0),X1) ),
    inference(resolution,[],[f548,f38]) ).

fof(f6824,plain,
    ! [X0,X1] : '==>'(X0,X1) = '==>'(X0,'+'('==>'(X0,X1),X0)),
    inference(forward_subsumption_resolution,[],[f6764,f835]) ).

fof(f6937,plain,
    ! [X2,X0,X1] : '==>'('==>'(X0,X2),'==>'(X0,X1)) = '==>'('==>'(X2,X0),'==>'(X2,'+'('==>'(X0,X1),X0))),
    inference(superposition,[],[f2404,f6824]) ).

fof(f7212,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,'+'('==>'(X0,X2),X0)),'==>'('==>'('+'('==>'(X0,X2),X0),X1),'==>'('+'('==>'(X0,X2),X0),X0))),
    inference(superposition,[],[f2553,f6937]) ).

fof(f7318,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,'+'('==>'(X0,X2),X0)),'==>'('==>'('+'('==>'(X0,X2),X0),X1),'0')),
    inference(forward_demodulation,[],[f7212,f658]) ).

fof(f7382,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,'+'('==>'(X0,X2),X0)),'0'),
    inference(forward_demodulation,[],[f7318,f651]) ).

fof(f7422,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '==>'(X1,'+'('==>'(X0,X2),X0)),
    inference(forward_demodulation,[],[f7382,f29]) ).

fof(f8504,plain,
    '>='('+'('==>'(sK0,sK2),sK2),sF3),
    inference(resolution,[],[f2151,f354]) ).

fof(f8553,plain,
    '>='('+'('==>'(sK0,sK2),sK2),sK0),
    inference(resolution,[],[f8504,f76]) ).

fof(f8568,plain,
    '>='('==>'(sK0,sK2),'==>'(sK2,sK0)),
    inference(resolution,[],[f8553,f66]) ).

fof(f8591,definition,
    ( spl5_53
  <=> '==>'(sK0,sK2) = '==>'(sK2,sF3) ),
    introduced(definition,[new_symbols(definition,[spl5_53])],[avatar_definition]) ).

fof(f8593,plain,
    ( '==>'(sK0,sK2) = '==>'(sK2,sF3)
    | ~ spl5_53 ),
    inference(avatar_component_clause,[],[f8591]) ).

fof(f16010,definition,
    ( spl5_68
  <=> '>='(sF3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_68])],[avatar_definition]) ).

fof(f16011,plain,
    ( '>='(sF3,sK2)
    | ~ spl5_68 ),
    inference(avatar_component_clause,[],[f16010]) ).

fof(f16012,plain,
    ( ~ '>='(sF3,sK2)
    | spl5_68 ),
    inference(avatar_component_clause,[],[f16010]) ).

fof(f16592,plain,
    ! [X2,X0,X1] : '>='('+'(X0,'==>'(X1,'==>'(X0,X2))),'==>'(X1,X2)),
    inference(resolution,[],[f6567,f164]) ).

fof(f16874,plain,
    ! [X2,X0,X1] : '>='('==>'(X0,'==>'(X1,X2)),'==>'(X1,'==>'(X0,X2))),
    inference(resolution,[],[f16592,f33]) ).

fof(f17032,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'(X0,'==>'(X1,X2)),'==>'(X1,'==>'(X0,X2)))
      | '==>'(X1,'==>'(X0,X2)) = '==>'(X0,'==>'(X1,X2)) ),
    inference(resolution,[],[f16874,f32]) ).

fof(f17176,plain,
    ! [X2,X0,X1] : '==>'(X1,'==>'(X0,X2)) = '==>'(X0,'==>'(X1,X2)),
    inference(forward_subsumption_resolution,[],[f17032,f16874]) ).

fof(f17267,plain,
    ! [X0] : '==>'(X0,sK2) = '==>'(sK2,'==>'(X0,sK1)),
    inference(superposition,[],[f17176,f50]) ).

fof(f17551,plain,
    ! [X2,X0,X1] : '+'('==>'(X0,X2),'==>'('==>'(X2,X0),'==>'(X2,X1))) = '+'('==>'(X0,X1),'==>'(X0,'==>'('==>'(X0,X1),X2))),
    inference(superposition,[],[f2553,f17176]) ).

fof(f17616,plain,
    ! [X2,X0,X1] : '+'(X1,'==>'(X0,'==>'(X1,X2))) = '+'('==>'(X0,X2),'==>'('==>'(X0,X2),X1)),
    inference(superposition,[],[f39,f17176]) ).

fof(f17791,plain,
    ! [X2,X0,X1] : '==>'(X0,'+'('==>'(X2,X1),X2)) = '+'('==>'(X0,X1),'==>'(X0,'==>'('==>'(X0,X1),X2))),
    inference(forward_demodulation,[],[f17551,f7422]) ).

fof(f19050,plain,
    '==>'(sK0,sK2) = '==>'(sK2,sF3),
    inference(superposition,[],[f17267,f45]) ).

fof(f19266,plain,
    spl5_53,
    inference(avatar_split_clause,[],[f19050,f8591]) ).

fof(f28702,plain,
    ! [X0,X1] : '+'('==>'('0',X0),'==>'('==>'('0',X0),X1)) = '==>'('0','+'('==>'(X1,X0),X1)),
    inference(superposition,[],[f17791,f459]) ).

fof(f29219,plain,
    ! [X0,X1] : '+'('==>'(X1,X0),X1) = '+'('==>'('0',X0),'==>'('==>'('0',X0),X1)),
    inference(forward_demodulation,[],[f28702,f459]) ).

fof(f29421,plain,
    ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'('==>'(X1,X0),X1),
    inference(forward_demodulation,[],[f29219,f459]) ).

fof(f29724,plain,
    ! [X2,X0,X1] : '+'('==>'(X0,'==>'(X1,X2)),X0) = '+'(X0,'==>'(X1,'==>'(X0,X2))),
    inference(superposition,[],[f17616,f29421]) ).

fof(f48712,plain,
    ! [X0,X1] :
      ( '==>'(X0,X1) = '==>'('==>'('==>'(X0,X1),X1),X1)
      | ~ '>='(X0,'==>'('==>'(X0,X1),X1)) ),
    inference(resolution,[],[f82,f162]) ).

fof(f48929,plain,
    ! [X0,X1] : '==>'(X0,X1) = '==>'('==>'('==>'(X0,X1),X1),X1),
    inference(forward_subsumption_resolution,[],[f48712,f162]) ).

fof(f49058,plain,
    sF3 = '==>'('==>'(sF3,sK1),sK1),
    inference(superposition,[],[f48929,f45]) ).

fof(f51827,plain,
    ( ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | '>='('+'(sK2,'==>'(sK2,'==>'(sK2,sK0))),sK0) ),
    inference(superposition,[],[f398,f3029]) ).

fof(f64717,plain,
    ( '>='('+'('==>'(sF3,'==>'(sK2,sK0)),sF3),sK2)
    | ~ '>='('==>'(sK0,sK2),'==>'(sK2,sK0)) ),
    inference(superposition,[],[f3903,f29421]) ).

fof(f64724,plain,
    '>='('+'('==>'(sF3,'==>'(sK2,sK0)),sF3),sK2),
    inference(forward_subsumption_resolution,[],[f64717,f8568]) ).

fof(f64737,plain,
    '>='('+'(sF3,'==>'(sK2,'==>'(sF3,sK0))),sK2),
    inference(forward_demodulation,[],[f64724,f29724]) ).

fof(f64749,plain,
    '>='('+'(sF3,'==>'(sK2,'0')),sK2),
    inference(forward_demodulation,[],[f64737,f680]) ).

fof(f64758,plain,
    '>='('+'(sF3,'0'),sK2),
    inference(forward_demodulation,[],[f64749,f651]) ).

fof(f64763,plain,
    '>='(sF3,sK2),
    inference(forward_demodulation,[],[f64758,f29]) ).

fof(f64768,plain,
    ( $false
    | spl5_68 ),
    inference(forward_subsumption_resolution,[],[f64763,f16012]) ).

fof(f64769,plain,
    spl5_68,
    inference(avatar_contradiction_clause,[],[f64768]) ).

fof(f64900,plain,
    ( '0' = '==>'(sF3,sK2)
    | ~ spl5_68 ),
    inference(resolution,[],[f16011,f647]) ).

fof(f80876,plain,
    '==>'('==>'(sK2,'==>'(sF3,sK1)),sK2) = '==>'('==>'('==>'(sF3,sK1),sK2),sF3),
    inference(superposition,[],[f2482,f49058]) ).

fof(f80889,plain,
    '==>'(sK2,sF3) = '==>'('==>'(sF3,sK1),sK2),
    inference(superposition,[],[f17267,f49058]) ).

fof(f81357,plain,
    ( '==>'(sK0,sK2) = '==>'('==>'(sF3,sK1),sK2)
    | ~ spl5_53 ),
    inference(forward_demodulation,[],[f80889,f8593]) ).

fof(f81359,plain,
    '==>'('==>'(sF3,sK2),sK2) = '==>'('==>'('==>'(sF3,sK1),sK2),sF3),
    inference(forward_demodulation,[],[f80876,f17267]) ).

fof(f81457,plain,
    ( '==>'('==>'(sK0,sK2),sF3) = '==>'('==>'(sF3,sK2),sK2)
    | ~ spl5_53 ),
    inference(forward_demodulation,[],[f81359,f81357]) ).

fof(f81514,plain,
    ( '==>'('0',sK2) = '==>'('==>'(sK0,sK2),sF3)
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_demodulation,[],[f81457,f64900]) ).

fof(f81531,plain,
    ( sK2 = '==>'('==>'(sK0,sK2),sF3)
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_demodulation,[],[f81514,f459]) ).

fof(f82259,plain,
    ( ~ '>='(sK2,sK2)
    | '>='('+'(sK2,'==>'(sK2,'==>'(sK2,sK0))),sK0)
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_demodulation,[],[f51827,f81531]) ).

fof(f82262,plain,
    ( '>='('+'(sK2,'==>'(sK2,'==>'(sK2,sK0))),sK0)
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_subsumption_resolution,[],[f82259,f30]) ).

fof(f82264,plain,
    ( '>='('+'(sK2,'==>'(sK1,sK0)),sK0)
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_demodulation,[],[f82262,f2636]) ).

fof(f82265,plain,
    ( '>='('+'(sK2,'0'),sK0)
    | ~ spl5_7
    | ~ spl5_18
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_demodulation,[],[f82264,f3728]) ).

fof(f82266,plain,
    ( '>='(sK2,sK0)
    | ~ spl5_7
    | ~ spl5_18
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_demodulation,[],[f82265,f29]) ).

fof(f82267,plain,
    ( $false
    | ~ spl5_7
    | ~ spl5_18
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(forward_subsumption_resolution,[],[f82266,f43]) ).

fof(f82268,plain,
    ( ~ spl5_7
    | ~ spl5_18
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(avatar_contradiction_clause,[],[f82267]) ).

cnf(s11,plain,
    ( spl5_18
    | ~ spl5_19 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s14,plain,
    spl5_7,
    inference(sat_conversion,[],[f988]) ).

cnf(s17,plain,
    spl5_19,
    inference(sat_conversion,[],[f1248]) ).

cnf(s50,plain,
    spl5_53,
    inference(sat_conversion,[],[f19266]) ).

cnf(s265,plain,
    spl5_68,
    inference(sat_conversion,[],[f64769]) ).

cnf(s288,plain,
    ( ~ spl5_7
    | ~ spl5_18
    | ~ spl5_53
    | ~ spl5_68 ),
    inference(sat_conversion,[],[f82268]) ).

cnf(s312,plain,
    ~ spl5_18,
    inference(rat,[],[s288,s265,s50,s14]) ).

cnf(s313,plain,
    $false,
    inference(rat,[],[s11,s17,s312]) ).

fof(f82269,plain,
    $false,
    inference(avatar_sat_refutation,[],[s313]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL892+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n002.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 17:07:37 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.42/2.83  % (3744415)Detected formulas, will run a generic FOF schedule.
% 13.42/2.83  % (3744424)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=647453106:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.42/2.83  % (3744426)dis-21_1_sil=8000:lcm=predicate:random_seed=2367077722:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.42/2.83  % (3744420)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=2535181667:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.42/2.83  % (3744423)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2780717255:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.42/2.83  % (3744422)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1685160935:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.42/2.83  % (3744421)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4291051424:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.42/2.83  % (3744425)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1097935913:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.42/2.83  % (3744424)Instruction limit reached! 
% 13.42/2.83  % (3744424)------------------------------
% 13.42/2.83  % (3744424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/2.83  % (3744424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.83  % (3744424)CaDiCaL version: 2.1.3
% 13.42/2.83  % (3744424)Termination reason: Instruction limit
% 13.42/2.83  % (3744424)Termination phase: Saturation
% 13.42/2.83  % (3744424)Time elapsed: 0.040 s
% 13.42/2.83  % (3744424)Peak memory usage: 89 MB
% 13.42/2.83  % (3744424)Instructions burned: 123 (million)
% 13.42/2.83  % (3744423)Instruction limit reached! 
% 13.42/2.83  % (3744423)------------------------------
% 13.42/2.83  % (3744423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/2.83  % (3744423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.83  % (3744423)CaDiCaL version: 2.1.3
% 13.42/2.83  % (3744423)Termination reason: Instruction limit
% 13.42/2.83  % (3744423)Termination phase: Saturation
% 13.42/2.83  % (3744423)Time elapsed: 0.074 s
% 13.42/2.83  % (3744423)Peak memory usage: 89 MB
% 13.42/2.83  % (3744423)Instructions burned: 109 (million)
% 13.42/2.83  % (3744426)Instruction limit reached! 
% 13.42/2.83  % (3744426)------------------------------
% 13.42/2.83  % (3744426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/2.83  % (3744426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.83  % (3744426)CaDiCaL version: 2.1.3
% 13.42/2.83  % (3744426)Termination reason: Instruction limit
% 13.42/2.83  % (3744426)Termination phase: Saturation
% 13.42/2.83  % (3744426)Time elapsed: 0.083 s
% 13.42/2.83  % (3744426)Peak memory usage: 89 MB
% 13.42/2.83  % (3744426)Instructions burned: 129 (million)
% 13.42/2.83  % (3744425)Instruction limit reached! 
% 13.42/2.83  % (3744425)------------------------------
% 13.42/2.83  % (3744425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/2.83  % (3744425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.83  % (3744425)CaDiCaL version: 2.1.3
% 13.42/2.83  % (3744425)Termination reason: Instruction limit
% 13.42/2.83  % (3744425)Termination phase: Saturation
% 13.42/2.83  % (3744425)Time elapsed: 0.095 s
% 13.42/2.83  % (3744425)Peak memory usage: 90 MB
% 13.42/2.83  % (3744425)Instructions burned: 140 (million)
% 13.42/2.83  % (3744434)lrs+10_1_sil=8000:sp=occurrence:random_seed=471389493:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 13.42/2.83  % (3744434)Instruction limit reached! 
% 13.42/2.83  % (3744434)------------------------------
% 13.42/2.83  % (3744434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.42/2.83  % (3744434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.83  % (3744434)CaDiCaL version: 2.1.3
% 13.42/2.83  % (3744434)Termination reason: Instruction limit
% 13.42/2.83  % (3744434)Termination phase: Saturation
% 13.42/2.83  % (3744434)Time elapsed: 0.103 s
% 13.42/2.83  % (3744434)Peak memory usage: 91 MB
% 13.42/2.83  % (3744434)Instructions burned: 285 (million)
% 19.18/3.67  % (3744436)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1178201538:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.18/3.67  % (3744435)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4093685007:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.18/3.67  % (3744437)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2264212271:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 19.18/3.67  % (3744439)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3722319877:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 19.18/3.67  % (3744435)Instruction limit reached! 
% 19.18/3.67  % (3744435)------------------------------
% 19.18/3.67  % (3744435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/3.67  % (3744435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/3.67  % (3744435)CaDiCaL version: 2.1.3
% 19.18/3.67  % (3744435)Termination reason: Instruction limit
% 19.18/3.67  % (3744435)Termination phase: Saturation
% 19.18/3.67  % (3744435)Time elapsed: 0.099 s
% 19.18/3.67  % (3744435)Peak memory usage: 90 MB
% 19.18/3.67  % (3744435)Instructions burned: 158 (million)
% 19.18/3.67  % (3744437)Instruction limit reached! 
% 19.18/3.67  % (3744437)------------------------------
% 19.18/3.67  % (3744437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/3.67  % (3744437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/3.67  % (3744437)CaDiCaL version: 2.1.3
% 19.18/3.67  % (3744437)Termination reason: Instruction limit
% 19.18/3.67  % (3744437)Termination phase: Saturation
% 19.18/3.67  % (3744437)Time elapsed: 0.155 s
% 19.18/3.67  % (3744437)Peak memory usage: 91 MB
% 19.18/3.67  % (3744437)Instructions burned: 248 (million)
% 19.18/3.67  % (3744439)Instruction limit reached! 
% 19.18/3.67  % (3744439)------------------------------
% 19.18/3.67  % (3744439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/3.67  % (3744439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/3.67  % (3744439)CaDiCaL version: 2.1.3
% 19.18/3.67  % (3744439)Termination reason: Instruction limit
% 19.18/3.67  % (3744439)Termination phase: Saturation
% 19.18/3.67  % (3744439)Time elapsed: 0.097 s
% 19.18/3.67  % (3744439)Peak memory usage: 89 MB
% 19.18/3.67  % (3744439)Instructions burned: 296 (million)
% 19.18/3.67  % (3744436)Instruction limit reached! 
% 19.18/3.67  % (3744436)------------------------------
% 19.18/3.67  % (3744436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/3.67  % (3744436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/3.67  % (3744436)CaDiCaL version: 2.1.3
% 19.18/3.67  % (3744436)Termination reason: Instruction limit
% 19.18/3.67  % (3744436)Termination phase: Saturation
% 19.18/3.67  % (3744436)Time elapsed: 0.217 s
% 19.18/3.67  % (3744436)Peak memory usage: 92 MB
% 19.18/3.67  % (3744436)Instructions burned: 326 (million)
% 19.18/3.67  % (3744444)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1953808735:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 19.18/3.67  % (3744446)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1342261696:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 19.18/3.67  % (3744445)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4036650730:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.18/3.67  % (3744446)Instruction limit reached! 
% 19.18/3.67  % (3744446)------------------------------
% 19.18/3.67  % (3744446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/3.67  % (3744446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/3.67  % (3744446)CaDiCaL version: 2.1.3
% 19.18/3.67  % (3744446)Termination reason: Instruction limit
% 19.18/3.67  % (3744446)Termination phase: Saturation
% 19.18/3.67  % (3744446)Time elapsed: 0.036 s
% 19.18/3.67  % (3744446)Peak memory usage: 89 MB
% 19.18/3.67  % (3744446)Instructions burned: 128 (million)
% 19.18/3.67  % (3744447)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=821230339:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 19.18/3.67  % (3744445)Instruction limit reached! 
% 19.18/3.67  % (3744445)------------------------------
% 19.18/3.67  % (3744445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/3.67  % (3744445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744445)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744445)Termination reason: Instruction limit
% 43.21/7.03  % (3744445)Termination phase: Saturation
% 43.21/7.03  % (3744445)Time elapsed: 0.082 s
% 43.21/7.03  % (3744445)Peak memory usage: 90 MB
% 43.21/7.03  % (3744445)Instructions burned: 114 (million)
% 43.21/7.03  % (3744447)Instruction limit reached! 
% 43.21/7.03  % (3744447)------------------------------
% 43.21/7.03  % (3744447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744447)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744447)Termination reason: Instruction limit
% 43.21/7.03  % (3744447)Termination phase: Saturation
% 43.21/7.03  % (3744447)Time elapsed: 0.072 s
% 43.21/7.03  % (3744447)Peak memory usage: 89 MB
% 43.21/7.03  % (3744447)Instructions burned: 116 (million)
% 43.21/7.03  % (3744451)lrs+10_1_sil=8000:sp=occurrence:random_seed=2196274133:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 43.21/7.03  % (3744453)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1608662945:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 43.21/7.03  % (3744454)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1339009150:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 43.21/7.03  % (3744453)Instruction limit reached! 
% 43.21/7.03  % (3744453)------------------------------
% 43.21/7.03  % (3744453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744453)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744453)Termination reason: Instruction limit
% 43.21/7.03  % (3744453)Termination phase: Saturation
% 43.21/7.03  % (3744453)Time elapsed: 0.283 s
% 43.21/7.03  % (3744453)Peak memory usage: 91 MB
% 43.21/7.03  % (3744453)Instructions burned: 437 (million)
% 43.21/7.03  % (3744458)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4080416528:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 43.21/7.03  % (3744458)Instruction limit reached! 
% 43.21/7.03  % (3744458)------------------------------
% 43.21/7.03  % (3744458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744458)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744458)Termination reason: Instruction limit
% 43.21/7.03  % (3744458)Termination phase: Saturation
% 43.21/7.03  % (3744458)Time elapsed: 0.076 s
% 43.21/7.03  % (3744458)Peak memory usage: 90 MB
% 43.21/7.03  % (3744458)Instructions burned: 134 (million)
% 43.21/7.03  % (3744451)Instruction limit reached! 
% 43.21/7.03  % (3744451)------------------------------
% 43.21/7.03  % (3744451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744451)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744451)Termination reason: Instruction limit
% 43.21/7.03  % (3744451)Termination phase: Saturation
% 43.21/7.03  % (3744451)Time elapsed: 0.547 s
% 43.21/7.03  % (3744451)Peak memory usage: 97 MB
% 43.21/7.03  % (3744451)Instructions burned: 907 (million)
% 43.21/7.03  % (3744461)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1663394071:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 43.21/7.03  % (3744460)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=992941216:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 43.21/7.03  % (3744460)Instruction limit reached! 
% 43.21/7.03  % (3744460)------------------------------
% 43.21/7.03  % (3744460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744460)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744460)Termination reason: Instruction limit
% 43.21/7.03  % (3744460)Termination phase: Saturation
% 43.21/7.03  % (3744460)Time elapsed: 0.370 s
% 43.21/7.03  % (3744460)Peak memory usage: 93 MB
% 43.21/7.03  % (3744460)Instructions burned: 593 (million)
% 43.21/7.03  % (3744464)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3797236648:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 43.21/7.03  % (3744464)Instruction limit reached! 
% 43.21/7.03  % (3744464)------------------------------
% 43.21/7.03  % (3744464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744464)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744464)Termination reason: Instruction limit
% 43.21/7.03  % (3744464)Termination phase: Saturation
% 43.21/7.03  % (3744464)Time elapsed: 0.077 s
% 43.21/7.03  % (3744464)Peak memory usage: 90 MB
% 43.21/7.03  % (3744464)Instructions burned: 126 (million)
% 43.21/7.03  % (3744444)Instruction limit reached! 
% 43.21/7.03  % (3744444)------------------------------
% 43.21/7.03  % (3744444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744444)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744444)Termination reason: Instruction limit
% 43.21/7.03  % (3744444)Termination phase: Saturation
% 43.21/7.03  % (3744444)Time elapsed: 1.482 s
% 43.21/7.03  % (3744444)Peak memory usage: 142 MB
% 43.21/7.03  % (3744444)Instructions burned: 2351 (million)
% 43.21/7.03  % (3744466)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=789846589:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 43.21/7.03  % (3744467)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3321563093:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 43.21/7.03  % (3744466)Instruction limit reached! 
% 43.21/7.03  % (3744466)------------------------------
% 43.21/7.03  % (3744466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744466)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744466)Termination reason: Instruction limit
% 43.21/7.03  % (3744466)Termination phase: Saturation
% 43.21/7.03  % (3744466)Time elapsed: 0.067 s
% 43.21/7.03  % (3744466)Peak memory usage: 89 MB
% 43.21/7.03  % (3744466)Instructions burned: 135 (million)
% 43.21/7.03  % (3744467)Instruction limit reached! 
% 43.21/7.03  % (3744467)------------------------------
% 43.21/7.03  % (3744467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744467)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744467)Termination reason: Instruction limit
% 43.21/7.03  % (3744467)Termination phase: Saturation
% 43.21/7.03  % (3744467)Time elapsed: 0.067 s
% 43.21/7.03  % (3744467)Peak memory usage: 89 MB
% 43.21/7.03  % (3744467)Instructions burned: 143 (million)
% 43.21/7.03  % (3744471)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=878789403:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 43.21/7.03  % (3744472)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=981392956:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 43.21/7.03  % (3744471)Instruction limit reached! 
% 43.21/7.03  % (3744471)------------------------------
% 43.21/7.03  % (3744471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744471)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744471)Termination reason: Instruction limit
% 43.21/7.03  % (3744471)Termination phase: Saturation
% 43.21/7.03  % (3744471)Time elapsed: 0.223 s
% 43.21/7.03  % (3744471)Peak memory usage: 90 MB
% 43.21/7.03  % (3744471)Instructions burned: 431 (million)
% 43.21/7.03  % (3744475)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1015823299:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 43.21/7.03  % (3744475)Instruction limit reached! 
% 43.21/7.03  % (3744475)------------------------------
% 43.21/7.03  % (3744475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744475)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744475)Termination reason: Instruction limit
% 43.21/7.03  % (3744475)Termination phase: Saturation
% 43.21/7.03  % (3744475)Time elapsed: 0.100 s
% 43.21/7.03  % (3744475)Peak memory usage: 91 MB
% 43.21/7.03  % (3744475)Instructions burned: 151 (million)
% 43.21/7.03  % (3744477)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4100783991:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 43.21/7.03  % (3744454)Instruction limit reached! 
% 43.21/7.03  % (3744454)------------------------------
% 43.21/7.03  % (3744454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744454)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744454)Termination reason: Instruction limit
% 43.21/7.03  % (3744454)Termination phase: Saturation
% 43.21/7.03  % (3744454)Time elapsed: 3.177 s
% 43.21/7.03  % (3744454)Peak memory usage: 156 MB
% 43.21/7.03  % (3744454)Instructions burned: 5203 (million)
% 43.21/7.03  % (3744479)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3867720095:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 43.21/7.03  % (3744479)Instruction limit reached! 
% 43.21/7.03  % (3744479)------------------------------
% 43.21/7.03  % (3744479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744479)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744479)Termination reason: Instruction limit
% 43.21/7.03  % (3744479)Termination phase: Saturation
% 43.21/7.03  % (3744479)Time elapsed: 0.336 s
% 43.21/7.03  % (3744479)Peak memory usage: 110 MB
% 43.21/7.03  % (3744479)Instructions burned: 667 (million)
% 43.21/7.03  % (3744481)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2394703089:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 43.21/7.03  % (3744481)Instruction limit reached! 
% 43.21/7.03  % (3744481)------------------------------
% 43.21/7.03  % (3744481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744481)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744481)Termination reason: Instruction limit
% 43.21/7.03  % (3744481)Termination phase: Saturation
% 43.21/7.03  % (3744481)Time elapsed: 0.122 s
% 43.21/7.03  % (3744481)Peak memory usage: 91 MB
% 43.21/7.03  % (3744481)Instructions burned: 186 (million)
% 43.21/7.03  % (3744483)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4264435805:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 43.21/7.03  % (3744483)Instruction limit reached! 
% 43.21/7.03  % (3744483)------------------------------
% 43.21/7.03  % (3744483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744483)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744483)Termination reason: Instruction limit
% 43.21/7.03  % (3744483)Termination phase: Saturation
% 43.21/7.03  % (3744483)Time elapsed: 0.134 s
% 43.21/7.03  % (3744483)Peak memory usage: 91 MB
% 43.21/7.03  % (3744483)Instructions burned: 194 (million)
% 43.21/7.03  % (3744485)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4070148156:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 43.21/7.03  % (3744420)First to succeed.
% 43.21/7.03  % (3744420)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3744415"
% 43.21/7.03  % (3744472)Instruction limit reached! 
% 43.21/7.03  % (3744472)------------------------------
% 43.21/7.03  % (3744472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.21/7.03  % (3744472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.21/7.03  % (3744472)CaDiCaL version: 2.1.3
% 43.21/7.03  % (3744472)Termination reason: Instruction limit
% 43.21/7.03  % (3744472)Termination phase: Saturation
% 43.21/7.03  % (3744472)Time elapsed: 3.732 s
% 43.21/7.03  % (3744472)Peak memory usage: 172 MB
% 43.21/7.03  % (3744472)Instructions burned: 6062 (million)
% 43.21/7.03  % (3744420)Refutation found. Thanks to Tanya!
% 43.21/7.03  % SZS status Theorem for theBenchmark
% 43.21/7.03  % SZS output start Proof for theBenchmark
% See solution above
% 44.29/7.23  % (3744420)------------------------------
% 44.29/7.23  % (3744420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.29/7.23  % (3744420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.29/7.23  % (3744420)CaDiCaL version: 2.1.3
% 44.29/7.23  % (3744420)Termination reason: Refutation
% 44.29/7.23  % (3744420)Time elapsed: 5.722 s
% 44.29/7.23  % (3744420)Peak memory usage: 210 MB
% 44.29/7.23  % (3744420)Instructions burned: 9559 (million)
% 44.29/7.23  % (3744420)------------------------------
% 44.29/7.23  % (3744420)------------------------------
% 44.29/7.23  % (3744415)Success in time 6.166 s
% 44.29/7.23  % Vampire exiting
%------------------------------------------------------------------------------