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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL891+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:56:57 AM UTC 2026

% Result   : Theorem 37.74s 6.07s
% Output   : Refutation 38.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  212 ( 116 unt;   6 def)
%            Number of atoms       :  342 ( 107 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  244 ( 114   ~; 107   |;  11   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  325 (   0 sgn 319   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

fof(f2,axiom,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(f3,axiom,
    ! [X0] : '+'(X0,'0') = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f4,axiom,
    ! [X0] : '>='(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( '>='(X0,X1)
        & '>='(X1,X2) )
     => '>='(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( '>='(X0,X1)
        & '>='(X1,X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( '>='('+'(X0,X1),X2)
    <=> '>='(X1,'==>'(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f8,axiom,
    ! [X0] : '>='(X0,'0'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('+'(X0,X2),'+'(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('==>'(X1,X2),'==>'(X0,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( '>='(X0,X1)
     => '>='('==>'(X2,X0),'==>'(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

fof(f12,axiom,
    ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

fof(f13,conjecture,
    ! [X0,X1,X2] :
      ( ( '>='('==>'(X0,X1),X0)
        & X2 = '==>'(X2,X1) )
     => '>='(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( '>='('==>'(X0,X1),X0)
          & X2 = '==>'(X2,X1) )
       => '>='(X2,X0) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( '>='(X0,X2)
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( '>='(X0,X2)
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X2) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ '>='(X0,X1)
      | ~ '>='(X1,X0) ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( '>='('+'(X0,X2),'+'(X1,X2))
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( '>='('==>'(X1,X2),'==>'(X0,X2))
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( '>='('==>'(X2,X0),'==>'(X2,X1))
      | ~ '>='(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( ~ '>='(X2,X0)
      & '>='('==>'(X0,X1),X0)
      & X2 = '==>'(X2,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( ~ '>='(X2,X0)
      & '>='('==>'(X0,X1),X0)
      & X2 = '==>'(X2,X1) ),
    inference(flattening,[],[f22]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( '>='('+'(X0,X1),X2)
        | ~ '>='(X1,'==>'(X0,X2)) )
      & ( '>='(X1,'==>'(X0,X2))
        | ~ '>='('+'(X0,X1),X2) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f25,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)],[f23]) ).

fof(f26,plain,
    ! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
    inference(cnf_transformation,[],[f1]) ).

fof(f27,plain,
    ! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f28,plain,
    ! [X0] : '+'(X0,'0') = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f29,plain,
    ! [X0] : '>='(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,X2)
      | ~ '>='(X0,X1)
      | '>='(X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ '>='(X1,X0)
      | ~ '>='(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'(X0,X1),X2)
      | '>='(X1,'==>'(X0,X2)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X1,'==>'(X0,X2))
      | '>='('+'(X0,X1),X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f34,plain,
    ! [X0] : '>='(X0,'0'),
    inference(cnf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( '>='('+'(X0,X2),'+'(X1,X2))
      | ~ '>='(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

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

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

fof(f38,plain,
    ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f39,plain,
    sK2 = '==>'(sK2,sK1),
    inference(cnf_transformation,[],[f25]) ).

fof(f40,plain,
    '>='('==>'(sK0,sK1),sK0),
    inference(cnf_transformation,[],[f25]) ).

fof(f41,plain,
    ~ '>='(sK2,sK0),
    inference(cnf_transformation,[],[f25]) ).

fof(f42,definition,
    sF3 = '==>'(sK0,sK1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f43,plain,
    '==>'(sK0,sK1) = sF3,
    inference(reorient_equations,[],[f42]) ).

fof(f44,plain,
    '>='(sF3,sK0),
    inference(definition_folding,[],[f40,f43]) ).

fof(f45,definition,
    sF4 = '==>'(sK2,sK1),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f46,plain,
    '==>'(sK2,sK1) = sF4,
    inference(reorient_equations,[],[f45]) ).

fof(f47,plain,
    sK2 = sF4,
    inference(definition_folding,[],[f39,f46]) ).

fof(f48,plain,
    sK2 = '==>'(sK2,sK1),
    inference(forward_demodulation,[],[f46,f47]) ).

fof(f49,plain,
    ! [X0] :
      ( '>='('+'(sK2,X0),sK1)
      | ~ '>='(X0,sK2) ),
    inference(superposition,[],[f33,f48]) ).

fof(f50,plain,
    ! [X0] :
      ( '>='('+'(sK0,X0),sK1)
      | ~ '>='(X0,sF3) ),
    inference(superposition,[],[f33,f43]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( '>='('+'(X2,'==>'(X2,X0)),X1)
      | ~ '>='(X0,X1) ),
    inference(resolution,[],[f37,f33]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( '>='('+'(X0,'==>'(X1,X2)),X2)
      | ~ '>='(X0,X1) ),
    inference(resolution,[],[f36,f33]) ).

fof(f59,plain,
    ! [X0] :
      ( '>='('==>'(X0,sK1),sK2)
      | ~ '>='(sK2,X0) ),
    inference(superposition,[],[f36,f48]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'(X0,X1),X2)
      | '>='(X0,'==>'(X1,X2)) ),
    inference(superposition,[],[f32,f27]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ '>='(X0,sF3)
      | '>='(X0,sK0) ),
    inference(resolution,[],[f30,f44]) ).

fof(f79,plain,
    ! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'('+'(X0,'==>'(X0,X1)),X2),
    inference(superposition,[],[f26,f38]) ).

fof(f81,plain,
    ! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X1,'+'(X0,X2)),
    inference(superposition,[],[f26,f27]) ).

fof(f95,plain,
    ! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'(X1,'+'(X0,X2)),
    inference(forward_demodulation,[],[f81,f26]) ).

fof(f97,plain,
    ! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'(X0,'+'('==>'(X0,X1),X2)),
    inference(forward_demodulation,[],[f79,f26]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'(X0,X1),'==>'(X0,X2))
      | '==>'(X0,X2) = '==>'(X0,X1)
      | ~ '>='(X2,X1) ),
    inference(resolution,[],[f31,f37]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'(X0,X1),'==>'(X2,X1))
      | '==>'(X2,X1) = '==>'(X0,X1)
      | ~ '>='(X0,X2) ),
    inference(resolution,[],[f31,f36]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1] :
      ( ~ '>='('+'(X0,'+'('==>'(X0,X1),X2)),X3)
      | '>='('+'('==>'(X1,X0),X2),'==>'(X1,X3)) ),
    inference(superposition,[],[f32,f97]) ).

fof(f195,plain,
    ! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
    inference(resolution,[],[f29,f32]) ).

fof(f196,plain,
    ! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
    inference(resolution,[],[f29,f33]) ).

fof(f200,plain,
    ! [X0,X1] : '>='(X0,'==>'('==>'(X0,X1),X1)),
    inference(resolution,[],[f196,f64]) ).

fof(f202,plain,
    ! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2)))),X2),
    inference(resolution,[],[f196,f33]) ).

fof(f210,plain,
    ! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'('+'(X0,X1),X2))),X2),
    inference(superposition,[],[f196,f26]) ).

fof(f245,definition,
    ( spl5_7
  <=> sK1 = '+'(sK2,sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).

fof(f247,plain,
    ( sK1 = '+'(sK2,sK2)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f285,plain,
    ! [X0] : '+'('0',X0) = X0,
    inference(superposition,[],[f27,f28]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( '>='('0','==>'(X0,X1))
      | ~ '>='(X0,X1) ),
    inference(superposition,[],[f32,f28]) ).

fof(f327,plain,
    ! [X0,X1] :
      ( '>='('+'(X1,X0),X0)
      | ~ '>='(X1,'0') ),
    inference(superposition,[],[f35,f285]) ).

fof(f333,plain,
    ! [X0] : '>='('==>'('0',X0),X0),
    inference(superposition,[],[f196,f285]) ).

fof(f336,plain,
    ! [X0,X1] : '>='('+'(X1,X0),X0),
    inference(forward_subsumption_resolution,[],[f327,f34]) ).

fof(f338,plain,
    ! [X0,X1] : '>='(X0,'==>'(X1,X0)),
    inference(resolution,[],[f336,f32]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( '>='('+'('==>'(X0,X1),X2),X1)
      | ~ '>='(X2,X0) ),
    inference(superposition,[],[f56,f27]) ).

fof(f396,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'('==>'(X1,X2),X0),X1)
      | '>='('+'(X0,'==>'(X0,'==>'(X1,X2))),X2) ),
    inference(superposition,[],[f379,f38]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( '>='('+'(X1,'==>'(X1,X0)),sK0)
      | ~ '>='(X0,sF3) ),
    inference(resolution,[],[f51,f74]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ '>='(X0,'==>'('0',X0))
      | '==>'('0',X0) = X0 ),
    inference(resolution,[],[f333,f31]) ).

fof(f457,plain,
    ! [X0] : '==>'('0',X0) = X0,
    inference(forward_subsumption_resolution,[],[f454,f338]) ).

fof(f479,plain,
    ( '>='(sK1,sK2)
    | ~ '>='(sK2,'0') ),
    inference(superposition,[],[f59,f457]) ).

fof(f481,plain,
    '>='(sK1,sK2),
    inference(forward_subsumption_resolution,[],[f479,f34]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( ~ '>='(X0,X1)
      | ~ '>='('==>'(X0,X1),'0')
      | '0' = '==>'(X0,X1) ),
    inference(resolution,[],[f286,f31]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( ~ '>='(X0,X1)
      | '0' = '==>'(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f563,f34]) ).

fof(f574,plain,
    ! [X0] : '0' = '==>'(X0,'0'),
    inference(resolution,[],[f570,f34]) ).

fof(f578,plain,
    ! [X0,X1] : '0' = '==>'('+'(X0,'==>'(X0,X1)),X1),
    inference(resolution,[],[f570,f196]) ).

fof(f579,plain,
    ! [X0,X1] : '0' = '==>'('+'(X0,X1),X1),
    inference(resolution,[],[f570,f336]) ).

fof(f600,plain,
    '0' = '==>'(sK1,sK2),
    inference(resolution,[],[f570,f481]) ).

fof(f603,plain,
    '0' = '==>'(sF3,sK0),
    inference(resolution,[],[f570,f44]) ).

fof(f722,plain,
    '+'(sK2,'==>'(sK2,sK1)) = '+'(sK1,'0'),
    inference(superposition,[],[f38,f600]) ).

fof(f742,plain,
    sK1 = '+'(sK2,'==>'(sK2,sK1)),
    inference(forward_demodulation,[],[f722,f28]) ).

fof(f748,plain,
    sK1 = '+'(sK2,sK2),
    inference(forward_demodulation,[],[f742,f48]) ).

fof(f750,plain,
    spl5_7,
    inference(avatar_split_clause,[],[f748,f245]) ).

fof(f903,plain,
    ! [X0,X1] : '>='('+'('==>'(X0,X1),X0),X1),
    inference(resolution,[],[f200,f33]) ).

fof(f992,plain,
    ! [X0,X1] :
      ( ~ '>='('==>'(X0,'+'(X0,X1)),X1)
      | '==>'(X0,'+'(X0,X1)) = X1 ),
    inference(resolution,[],[f195,f31]) ).

fof(f1011,plain,
    ! [X0,X1] :
      ( '==>'(X0,X1) = '==>'(X0,'+'(X0,'==>'(X0,X1)))
      | ~ '>='('+'(X0,'==>'(X0,X1)),X1) ),
    inference(resolution,[],[f992,f37]) ).

fof(f1019,plain,
    ! [X0,X1] :
      ( ~ '>='('==>'(X1,'+'(X0,X1)),X0)
      | '==>'(X1,'+'(X0,X1)) = X0 ),
    inference(superposition,[],[f992,f27]) ).

fof(f1034,plain,
    ! [X0,X1] : '==>'(X0,X1) = '==>'(X0,'+'(X0,'==>'(X0,X1))),
    inference(forward_subsumption_resolution,[],[f1011,f196]) ).

fof(f1244,plain,
    ! [X0,X1] : '0' = '==>'(X0,'==>'(X1,X0)),
    inference(resolution,[],[f338,f570]) ).

fof(f1256,plain,
    '>='(sK1,sF3),
    inference(superposition,[],[f338,f43]) ).

fof(f1455,plain,
    ! [X0,X1] : '==>'(X1,X0) = '==>'(X1,'+'(X0,'==>'(X0,X1))),
    inference(superposition,[],[f1034,f38]) ).

fof(f1481,plain,
    ! [X0,X1] : '>='('+'('==>'(X0,X1),X0),'+'(X0,'==>'(X0,X1))),
    inference(superposition,[],[f903,f1034]) ).

fof(f1610,plain,
    ! [X2,X0,X1] : '>='('+'('==>'(X0,X1),'==>'('==>'(X1,X0),'==>'(X1,X2))),'==>'(X0,X2)),
    inference(resolution,[],[f181,f202]) ).

fof(f1616,plain,
    ! [X0,X1] :
      ( '>='('+'('==>'(X0,sK2),X1),'==>'(X0,sK1))
      | ~ '>='('+'('==>'(sK2,X0),X1),sK2) ),
    inference(resolution,[],[f181,f49]) ).

fof(f1617,plain,
    ! [X0,X1] :
      ( '>='('+'('==>'(X0,sK0),X1),'==>'(X0,sK1))
      | ~ '>='('+'('==>'(sK0,X0),X1),sF3) ),
    inference(resolution,[],[f181,f50]) ).

fof(f1711,plain,
    ! [X0] :
      ( ~ '>='('+'('==>'(sK2,sK0),X0),sK2)
      | '>='('+'('==>'(sK0,sK2),X0),sF3) ),
    inference(superposition,[],[f1616,f43]) ).

fof(f1726,plain,
    ! [X2,X0,X1] : '>='('==>'('==>'(X0,X1),'==>'(X0,X2)),'==>'('==>'(X1,X0),'==>'(X1,X2))),
    inference(resolution,[],[f1610,f32]) ).

fof(f1847,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'('==>'(X0,X1),'==>'(X0,X2)),'==>'('==>'(X1,X0),'==>'(X1,X2)))
      | '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'('==>'(X0,X1),'==>'(X0,X2)) ),
    inference(resolution,[],[f1726,f31]) ).

fof(f1933,plain,
    ! [X2,X0,X1] : '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'('==>'(X0,X1),'==>'(X0,X2)),
    inference(forward_subsumption_resolution,[],[f1847,f1726]) ).

fof(f1996,plain,
    ! [X0] : '==>'('==>'(sK2,sK1),'==>'(sK2,X0)) = '==>'('0','==>'(sK1,X0)),
    inference(superposition,[],[f1933,f600]) ).

fof(f2006,plain,
    ! [X0] : '==>'('==>'(sK2,X0),sK2) = '==>'('==>'(X0,sK2),'==>'(X0,sK1)),
    inference(superposition,[],[f1933,f48]) ).

fof(f2078,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,X2),'==>'('==>'(X1,X2),'==>'(X1,X0))),
    inference(superposition,[],[f38,f1933]) ).

fof(f2130,plain,
    ! [X0] : '==>'(sK1,X0) = '==>'('==>'(sK2,sK1),'==>'(sK2,X0)),
    inference(forward_demodulation,[],[f1996,f457]) ).

fof(f2158,plain,
    ! [X0] : '==>'(sK1,X0) = '==>'(sK2,'==>'(sK2,X0)),
    inference(forward_demodulation,[],[f2130,f48]) ).

fof(f2535,plain,
    '==>'('==>'(sK2,sK0),sK2) = '==>'('==>'(sK0,sK2),sF3),
    inference(superposition,[],[f2006,f43]) ).

fof(f3278,plain,
    ! [X0] :
      ( ~ '>='('+'('==>'(sK0,sK2),X0),sF3)
      | '>='('+'('==>'(sK2,sK0),X0),sK2) ),
    inference(superposition,[],[f1617,f48]) ).

fof(f3297,plain,
    ! [X0] :
      ( '>='('+'('==>'(sK2,sK0),'==>'(X0,sF3)),sK2)
      | ~ '>='('==>'(sK0,sK2),X0) ),
    inference(resolution,[],[f3278,f56]) ).

fof(f4679,plain,
    ( '>='('+'(sK2,sK2),sK0)
    | ~ '>='(sK1,sF3) ),
    inference(superposition,[],[f402,f48]) ).

fof(f4697,plain,
    '>='('+'(sK2,sK2),sK0),
    inference(forward_subsumption_resolution,[],[f4679,f1256]) ).

fof(f4706,plain,
    ( '>='(sK1,sK0)
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f4697,f247]) ).

fof(f4711,plain,
    ( '0' = '==>'(sK1,sK0)
    | ~ spl5_7 ),
    inference(resolution,[],[f4706,f570]) ).

fof(f5664,plain,
    ! [X2,X0,X1] : '>='('+'(X0,'==>'('+'(X1,X0),X2)),'==>'(X1,X2)),
    inference(resolution,[],[f210,f32]) ).

fof(f5907,plain,
    ! [X2,X0,X1] : '>='('==>'('+'(X0,X1),X2),'==>'(X1,'==>'(X0,X2))),
    inference(resolution,[],[f5664,f32]) ).

fof(f6037,plain,
    ! [X0] : '>='('==>'('+'(sK0,X0),sK1),'==>'(X0,sF3)),
    inference(superposition,[],[f5907,f43]) ).

fof(f6269,plain,
    '>='('+'('==>'(sK0,sK2),sK2),sF3),
    inference(resolution,[],[f1711,f336]) ).

fof(f6306,plain,
    '>='('+'('==>'(sK0,sK2),sK2),sK0),
    inference(resolution,[],[f6269,f74]) ).

fof(f6321,plain,
    '>='('==>'(sK0,sK2),'==>'(sK2,sK0)),
    inference(resolution,[],[f6306,f64]) ).

fof(f6344,definition,
    ( spl5_41
  <=> '==>'(sK0,sK2) = '==>'(sK2,sF3) ),
    introduced(definition,[new_symbols(definition,[spl5_41])],[avatar_definition]) ).

fof(f6346,plain,
    ( '==>'(sK0,sK2) = '==>'(sK2,sF3)
    | ~ spl5_41 ),
    inference(avatar_component_clause,[],[f6344]) ).

fof(f7362,plain,
    ! [X2,X3,X0,X1] :
      ( ~ '>='('+'(X0,'+'(X1,X2)),X3)
      | '>='('+'(X0,X2),'==>'(X1,X3)) ),
    inference(superposition,[],[f32,f95]) ).

fof(f8590,plain,
    ! [X2,X0,X1] :
      ( ~ '>='(X2,X1)
      | ~ '>='(X1,X2)
      | '==>'(X0,X2) = '==>'(X0,X1) ),
    inference(resolution,[],[f101,f37]) ).

fof(f11655,plain,
    ( ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | '>='('+'(sK2,'==>'(sK2,'==>'(sK2,sK0))),sK0) ),
    inference(superposition,[],[f396,f2535]) ).

fof(f11780,definition,
    ( spl5_55
  <=> '>='('==>'('==>'(sK0,sK2),sF3),sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_55])],[avatar_definition]) ).

fof(f11782,plain,
    ( ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | spl5_55 ),
    inference(avatar_component_clause,[],[f11780]) ).

fof(f11834,plain,
    ( '>='('+'(sK2,'==>'(sK1,sK0)),sK0)
    | ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2) ),
    inference(forward_demodulation,[],[f11655,f2158]) ).

fof(f11885,plain,
    ( '>='('+'(sK2,'0'),sK0)
    | ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f11834,f4711]) ).

fof(f11919,plain,
    ( '>='(sK2,sK0)
    | ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | ~ spl5_7 ),
    inference(forward_demodulation,[],[f11885,f28]) ).

fof(f11947,plain,
    ( ~ '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | ~ spl5_7 ),
    inference(forward_subsumption_resolution,[],[f11919,f41]) ).

fof(f11961,plain,
    ( ~ spl5_55
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f11947,f245,f11780]) ).

fof(f13426,definition,
    ( spl5_56
  <=> '>='(sF3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl5_56])],[avatar_definition]) ).

fof(f13427,plain,
    ( ~ '>='(sF3,sK2)
    | spl5_56 ),
    inference(avatar_component_clause,[],[f13426]) ).

fof(f13428,plain,
    ( '>='(sF3,sK2)
    | ~ spl5_56 ),
    inference(avatar_component_clause,[],[f13426]) ).

fof(f16373,plain,
    ! [X0,X1] :
      ( '==>'(X0,X1) = '==>'('==>'('==>'(X0,X1),X1),X1)
      | ~ '>='(X0,'==>'('==>'(X0,X1),X1)) ),
    inference(resolution,[],[f102,f200]) ).

fof(f16479,plain,
    ! [X0,X1] : '==>'(X0,X1) = '==>'('==>'('==>'(X0,X1),X1),X1),
    inference(forward_subsumption_resolution,[],[f16373,f200]) ).

fof(f16524,plain,
    sF3 = '==>'('==>'(sF3,sK1),sK1),
    inference(superposition,[],[f16479,f43]) ).

fof(f18703,plain,
    ! [X0,X1] :
      ( '==>'(X0,X1) = '==>'(X0,'+'('==>'(X0,X1),X0))
      | ~ '>='('+'('==>'(X0,X1),X0),X1) ),
    inference(resolution,[],[f1019,f37]) ).

fof(f18755,plain,
    ! [X0,X1] : '==>'(X0,X1) = '==>'(X0,'+'('==>'(X0,X1),X0)),
    inference(forward_subsumption_resolution,[],[f18703,f903]) ).

fof(f18835,plain,
    ! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),'+'('==>'(X0,X1),X0)),
    inference(superposition,[],[f196,f18755]) ).

fof(f18883,plain,
    ! [X2,X0,X1] : '==>'('==>'(X0,X2),'==>'(X0,X1)) = '==>'('==>'(X2,X0),'==>'(X2,'+'('==>'(X0,X1),X0))),
    inference(superposition,[],[f1933,f18755]) ).

fof(f20475,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,'+'('==>'(X0,X2),X0)),'==>'('==>'('+'('==>'(X0,X2),X0),X1),'==>'('+'('==>'(X0,X2),X0),X0))),
    inference(superposition,[],[f2078,f18883]) ).

fof(f20664,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,'+'('==>'(X0,X2),X0)),'==>'('==>'('+'('==>'(X0,X2),X0),X1),'0')),
    inference(forward_demodulation,[],[f20475,f579]) ).

fof(f20790,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '+'('==>'(X1,'+'('==>'(X0,X2),X0)),'0'),
    inference(forward_demodulation,[],[f20664,f574]) ).

fof(f20875,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X0),'==>'('==>'(X0,X1),'==>'(X0,X2))) = '==>'(X1,'+'('==>'(X0,X2),X0)),
    inference(forward_demodulation,[],[f20790,f28]) ).

fof(f23601,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('+'('==>'(X0,X1),X0),'+'(X0,'==>'(X0,X1)))
      | '==>'(X2,'+'(X0,'==>'(X0,X1))) = '==>'(X2,'+'('==>'(X0,X1),X0)) ),
    inference(resolution,[],[f8590,f18835]) ).

fof(f23739,plain,
    ! [X2,X0,X1] : '==>'(X2,'+'(X0,'==>'(X0,X1))) = '==>'(X2,'+'('==>'(X0,X1),X0)),
    inference(forward_subsumption_resolution,[],[f23601,f1481]) ).

fof(f25450,plain,
    ! [X2,X0,X1] : '>='('+'(X0,'==>'(X1,'==>'(X0,X2))),'==>'(X1,X2)),
    inference(resolution,[],[f7362,f202]) ).

fof(f25813,plain,
    ! [X2,X0,X1] : '>='('==>'(X0,'==>'(X1,X2)),'==>'(X1,'==>'(X0,X2))),
    inference(resolution,[],[f25450,f32]) ).

fof(f26030,plain,
    ! [X2,X0,X1] :
      ( ~ '>='('==>'(X0,'==>'(X1,X2)),'==>'(X1,'==>'(X0,X2)))
      | '==>'(X0,'==>'(X1,X2)) = '==>'(X1,'==>'(X0,X2)) ),
    inference(resolution,[],[f25813,f31]) ).

fof(f26240,plain,
    ! [X2,X0,X1] : '==>'(X0,'==>'(X1,X2)) = '==>'(X1,'==>'(X0,X2)),
    inference(forward_subsumption_resolution,[],[f26030,f25813]) ).

fof(f26361,plain,
    ! [X0] : '==>'(X0,sK2) = '==>'(sK2,'==>'(X0,sK1)),
    inference(superposition,[],[f26240,f48]) ).

fof(f26721,plain,
    ! [X2,X0,X1] : '+'('==>'(X0,X2),'==>'('==>'(X0,X2),X1)) = '+'(X1,'==>'(X0,'==>'(X1,X2))),
    inference(superposition,[],[f38,f26240]) ).

fof(f26905,plain,
    ! [X2,X0,X1] : '==>'('==>'(X1,X0),'==>'(X1,X2)) = '==>'(X0,'==>'('==>'(X0,X1),X2)),
    inference(superposition,[],[f1933,f26240]) ).

fof(f26910,plain,
    ! [X2,X0,X1] : '+'('==>'(X1,X2),'==>'('==>'(X1,X2),'==>'(X1,X0))) = '+'('==>'(X1,X0),'==>'(X0,'==>'('==>'(X0,X1),X2))),
    inference(superposition,[],[f2078,f26240]) ).

fof(f26948,plain,
    ! [X0] : '==>'('==>'(sK2,X0),sK2) = '==>'(X0,'==>'('==>'(X0,sK2),sK1)),
    inference(superposition,[],[f2006,f26240]) ).

fof(f28239,plain,
    '==>'(sK0,sK2) = '==>'(sK2,sF3),
    inference(superposition,[],[f26361,f43]) ).

fof(f28491,plain,
    spl5_41,
    inference(avatar_split_clause,[],[f28239,f6344]) ).

fof(f28620,plain,
    ! [X2,X0,X1] : '+'('==>'(X0,X1),'==>'('==>'(X1,X0),'==>'(X1,X2))) = '+'('==>'(X0,X1),'==>'(X0,'==>'('==>'(X0,X1),X2))),
    inference(superposition,[],[f2078,f26721]) ).

fof(f28638,plain,
    ( '>='('+'(sF3,'==>'(sK2,'==>'(sF3,sK0))),sK2)
    | ~ '>='('==>'(sK0,sK2),'==>'(sK2,sK0)) ),
    inference(superposition,[],[f3297,f26721]) ).

fof(f28780,plain,
    ! [X2,X0,X1] : '==>'(X0,'+'('==>'(X1,X2),X1)) = '+'('==>'(X0,X1),'==>'(X0,'==>'('==>'(X0,X1),X2))),
    inference(forward_demodulation,[],[f28620,f20875]) ).

fof(f28865,plain,
    ! [X2,X0,X1] : '==>'(X0,'+'(X1,'==>'(X1,X2))) = '+'('==>'(X0,X1),'==>'(X0,'==>'('==>'(X0,X1),X2))),
    inference(forward_demodulation,[],[f28780,f23739]) ).

fof(f33251,plain,
    '>='('+'(sF3,'==>'(sK2,'==>'(sF3,sK0))),sK2),
    inference(forward_subsumption_resolution,[],[f28638,f6321]) ).

fof(f33291,plain,
    '>='('+'(sF3,'==>'(sK2,'0')),sK2),
    inference(forward_demodulation,[],[f33251,f603]) ).

fof(f33308,plain,
    '>='('+'(sF3,'0'),sK2),
    inference(forward_demodulation,[],[f33291,f574]) ).

fof(f33319,plain,
    '>='(sF3,sK2),
    inference(forward_demodulation,[],[f33308,f28]) ).

fof(f33321,plain,
    ( $false
    | spl5_56 ),
    inference(forward_subsumption_resolution,[],[f33319,f13427]) ).

fof(f33322,plain,
    spl5_56,
    inference(avatar_contradiction_clause,[],[f33321]) ).

fof(f33821,plain,
    ( '0' = '==>'(sF3,sK2)
    | ~ spl5_56 ),
    inference(resolution,[],[f13428,f570]) ).

fof(f43805,plain,
    ( '==>'('==>'(sK2,sF3),sK2) = '==>'(sF3,'==>'('0',sK1))
    | ~ spl5_56 ),
    inference(superposition,[],[f26948,f33821]) ).

fof(f44143,plain,
    ( '==>'(sF3,sK1) = '==>'('==>'(sK2,sF3),sK2)
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f43805,f457]) ).

fof(f44206,plain,
    ( '==>'(sF3,sK1) = '==>'('==>'(sK0,sK2),sK2)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f44143,f6346]) ).

fof(f47654,plain,
    ! [X2,X0,X1] : '+'('==>'(X0,X1),'==>'(X0,'==>'('==>'(X0,X1),X2))) = '+'('==>'(X0,X1),'==>'(X1,'==>'('==>'(X1,X0),X2))),
    inference(superposition,[],[f26721,f26910]) ).

fof(f47663,plain,
    ! [X2,X0,X1] : '+'(X2,'+'('==>'(X2,X0),'==>'('==>'(X0,X2),'==>'(X0,X1)))) = '+'(X0,'+'('==>'(X0,X1),'==>'(X1,'==>'('==>'(X1,X0),X2)))),
    inference(superposition,[],[f97,f26910]) ).

fof(f47824,plain,
    ! [X2,X0,X1] : '+'(X0,'+'('==>'(X0,X1),'==>'(X1,'==>'('==>'(X1,X0),X2)))) = '+'(X2,'==>'(X2,'+'('==>'(X0,X1),X0))),
    inference(forward_demodulation,[],[f47663,f20875]) ).

fof(f47827,plain,
    ! [X2,X0,X1] : '==>'(X0,'+'(X1,'==>'(X1,X2))) = '+'('==>'(X0,X1),'==>'(X1,'==>'('==>'(X1,X0),X2))),
    inference(forward_demodulation,[],[f47654,f28865]) ).

fof(f48061,plain,
    ! [X2,X0,X1] : '+'(X2,'==>'(X2,'+'(X0,'==>'(X0,X1)))) = '+'(X0,'+'('==>'(X0,X1),'==>'(X1,'==>'('==>'(X1,X0),X2)))),
    inference(forward_demodulation,[],[f47824,f23739]) ).

fof(f48239,plain,
    ! [X2,X0,X1] : '+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2)))) = '+'(X2,'==>'(X2,'+'(X0,'==>'(X0,X1)))),
    inference(forward_demodulation,[],[f48061,f47827]) ).

fof(f68332,plain,
    ! [X2,X0,X1] : '+'('0','==>'(X1,'==>'('==>'(X1,'+'(X0,'==>'(X0,X1))),X2))) = '==>'('+'(X0,'==>'(X0,X1)),'+'(X1,'==>'(X1,X2))),
    inference(superposition,[],[f47827,f578]) ).

fof(f68869,plain,
    ! [X2,X0,X1] : '==>'(X1,'==>'('==>'(X1,'+'(X0,'==>'(X0,X1))),X2)) = '==>'('+'(X0,'==>'(X0,X1)),'+'(X1,'==>'(X1,X2))),
    inference(forward_demodulation,[],[f68332,f285]) ).

fof(f69012,plain,
    ! [X2,X0,X1] : '==>'(X1,'==>'('==>'(X1,X0),X2)) = '==>'('+'(X0,'==>'(X0,X1)),'+'(X1,'==>'(X1,X2))),
    inference(forward_demodulation,[],[f68869,f1455]) ).

fof(f71855,plain,
    ! [X2,X0,X1] : '==>'('+'(X2,'==>'(X2,X0)),X1) = '==>'('+'(X2,'==>'(X2,X0)),'+'(X0,'==>'(X0,'+'(X1,'==>'(X1,X2))))),
    inference(superposition,[],[f1455,f48239]) ).

fof(f72094,plain,
    ! [X2,X0,X1] : '==>'('==>'(X0,X2),'==>'(X0,X1)) = '==>'(X2,'==>'('==>'(X2,X0),'+'(X1,'==>'(X1,X0)))),
    inference(superposition,[],[f26905,f1455]) ).

fof(f72394,plain,
    ! [X2,X0,X1] : '==>'('+'(X2,'==>'(X2,X0)),X1) = '==>'(X0,'==>'('==>'(X0,X2),'+'(X1,'==>'(X1,X2)))),
    inference(forward_demodulation,[],[f71855,f69012]) ).

fof(f72489,plain,
    ! [X2,X0,X1] : '==>'('==>'(X2,X0),'==>'(X2,X1)) = '==>'('+'(X2,'==>'(X2,X0)),X1),
    inference(forward_demodulation,[],[f72394,f72094]) ).

fof(f87907,plain,
    ( '==>'('==>'(sK2,'==>'(sK0,sK2)),sK2) = '==>'('==>'(sK0,sK2),'==>'('==>'(sF3,sK1),sK1))
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(superposition,[],[f26948,f44206]) ).

fof(f88326,plain,
    ( '==>'('==>'(sK0,sK2),sF3) = '==>'('==>'(sK2,'==>'(sK0,sK2)),sK2)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f87907,f16524]) ).

fof(f88431,plain,
    ( '==>'('0',sK2) = '==>'('==>'(sK0,sK2),sF3)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f88326,f1244]) ).

fof(f88472,plain,
    ( sK2 = '==>'('==>'(sK0,sK2),sF3)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f88431,f457]) ).

fof(f88532,plain,
    ( '>='('==>'('+'(sK0,'==>'(sK0,sK2)),sK1),sK2)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(superposition,[],[f6037,f88472]) ).

fof(f88959,plain,
    ( '>='('==>'('==>'(sK0,sK2),'==>'(sK0,sK1)),sK2)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f88532,f72489]) ).

fof(f89063,plain,
    ( '>='('==>'('==>'(sK2,sK0),sK2),sK2)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f88959,f2006]) ).

fof(f89143,plain,
    ( '>='('==>'('==>'(sK0,sK2),sF3),sK2)
    | ~ spl5_41
    | ~ spl5_56 ),
    inference(forward_demodulation,[],[f89063,f2535]) ).

fof(f89185,plain,
    ( $false
    | ~ spl5_41
    | spl5_55
    | ~ spl5_56 ),
    inference(forward_subsumption_resolution,[],[f89143,f11782]) ).

fof(f89186,plain,
    ( ~ spl5_41
    | spl5_55
    | ~ spl5_56 ),
    inference(avatar_contradiction_clause,[],[f89185]) ).

cnf(s13,plain,
    spl5_7,
    inference(sat_conversion,[],[f750]) ).

cnf(s36,plain,
    ( ~ spl5_7
    | ~ spl5_55 ),
    inference(sat_conversion,[],[f11961]) ).

cnf(s86,plain,
    spl5_41,
    inference(sat_conversion,[],[f28491]) ).

cnf(s96,plain,
    spl5_56,
    inference(sat_conversion,[],[f33322]) ).

cnf(s124,plain,
    ( ~ spl5_41
    | spl5_55
    | ~ spl5_56 ),
    inference(sat_conversion,[],[f89186]) ).

cnf(s128,plain,
    spl5_55,
    inference(rat,[],[s124,s96,s86]) ).

cnf(s135,plain,
    ~ spl5_7,
    inference(rat,[],[s36,s128]) ).

cnf(s137,plain,
    $false,
    inference(rat,[],[s13,s135]) ).

fof(f89214,plain,
    $false,
    inference(avatar_sat_refutation,[],[s137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LCL891+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.30  % Computer : n012.cluster.edu
% 0.07/0.30  % Model    : x86_64 x86_64
% 0.07/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.30  % Memory   : 8046.5625MB
% 0.07/0.30  % OS       : Linux 6.8.0-71-generic
% 0.07/0.30  % CPULimit : 300
% 0.07/0.30  % WCLimit  : 300
% 0.07/0.30  % DateTime : Sun Sep 27 17:04:35 UTC 2026
% 0.07/0.31  % CPUTime  : 
% 0.07/0.31  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  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
% 12.25/2.49  % (2592856)Detected formulas, will run a generic FOF schedule.
% 12.25/2.49  % (2592862)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=853018080:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.25/2.49  % (2592863)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=1923640792:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.25/2.49  % (2592864)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3517428140:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.25/2.49  % (2592864)Instruction limit reached! 
% 12.25/2.49  % (2592864)------------------------------
% 12.25/2.49  % (2592864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.25/2.49  % (2592864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.49  % (2592864)CaDiCaL version: 2.1.3
% 12.25/2.49  % (2592864)Termination reason: Instruction limit
% 12.25/2.49  % (2592864)Termination phase: Saturation
% 12.25/2.49  % (2592864)Time elapsed: 0.045 s
% 12.25/2.49  % (2592864)Peak memory usage: 89 MB
% 12.25/2.49  % (2592864)Instructions burned: 110 (million)
% 12.25/2.49  % (2592865)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3660596808:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.25/2.49  % (2592866)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2712558307:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.25/2.49  % (2592861)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=4042354359:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.25/2.49  % (2592867)dis-21_1_sil=8000:lcm=predicate:random_seed=933998911: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)
% 12.25/2.49  % (2592865)Instruction limit reached! 
% 12.25/2.49  % (2592865)------------------------------
% 12.25/2.49  % (2592865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.25/2.49  % (2592865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.49  % (2592865)CaDiCaL version: 2.1.3
% 12.25/2.49  % (2592865)Termination reason: Instruction limit
% 12.25/2.49  % (2592865)Termination phase: Saturation
% 12.25/2.49  % (2592865)Time elapsed: 0.063 s
% 12.25/2.49  % (2592865)Peak memory usage: 88 MB
% 12.25/2.49  % (2592865)Instructions burned: 120 (million)
% 12.25/2.49  % (2592866)Instruction limit reached! 
% 12.25/2.49  % (2592866)------------------------------
% 12.25/2.49  % (2592866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.25/2.49  % (2592866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.49  % (2592866)CaDiCaL version: 2.1.3
% 12.25/2.49  % (2592866)Termination reason: Instruction limit
% 12.25/2.49  % (2592866)Termination phase: Saturation
% 12.25/2.49  % (2592866)Time elapsed: 0.081 s
% 12.25/2.49  % (2592866)Peak memory usage: 89 MB
% 12.25/2.49  % (2592866)Instructions burned: 140 (million)
% 12.25/2.49  % (2592867)Instruction limit reached! 
% 12.25/2.49  % (2592867)------------------------------
% 12.25/2.49  % (2592867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.25/2.49  % (2592867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.49  % (2592867)CaDiCaL version: 2.1.3
% 12.25/2.49  % (2592867)Termination reason: Instruction limit
% 12.25/2.49  % (2592867)Termination phase: Saturation
% 12.25/2.49  % (2592867)Time elapsed: 0.069 s
% 12.25/2.49  % (2592867)Peak memory usage: 89 MB
% 12.25/2.49  % (2592867)Instructions burned: 130 (million)
% 12.25/2.49  % (2592871)lrs+10_1_sil=8000:sp=occurrence:random_seed=795212028:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.25/2.49  % (2592876)lrs+10_1_sil=32000:urr=on:br=off:random_seed=585409189:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.25/2.49  % (2592878)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=510286466:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.25/2.49  % (2592877)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2127288050:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.25/2.49  % (2592871)Instruction limit reached! 
% 17.64/3.16  % (2592871)------------------------------
% 17.64/3.16  % (2592871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592871)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592871)Termination reason: Instruction limit
% 17.64/3.16  % (2592871)Termination phase: Saturation
% 17.64/3.16  % (2592871)Time elapsed: 0.161 s
% 17.64/3.16  % (2592871)Peak memory usage: 92 MB
% 17.64/3.16  % (2592871)Instructions burned: 285 (million)
% 17.64/3.16  % (2592876)Instruction limit reached! 
% 17.64/3.16  % (2592876)------------------------------
% 17.64/3.16  % (2592876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592876)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592876)Termination reason: Instruction limit
% 17.64/3.16  % (2592876)Termination phase: Saturation
% 17.64/3.16  % (2592876)Time elapsed: 0.085 s
% 17.64/3.16  % (2592876)Peak memory usage: 90 MB
% 17.64/3.16  % (2592876)Instructions burned: 159 (million)
% 17.64/3.16  % (2592878)Instruction limit reached! 
% 17.64/3.16  % (2592878)------------------------------
% 17.64/3.16  % (2592878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592878)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592878)Termination reason: Instruction limit
% 17.64/3.16  % (2592878)Termination phase: Saturation
% 17.64/3.16  % (2592878)Time elapsed: 0.086 s
% 17.64/3.16  % (2592878)Peak memory usage: 92 MB
% 17.64/3.16  % (2592878)Instructions burned: 248 (million)
% 17.64/3.16  % (2592877)Instruction limit reached! 
% 17.64/3.16  % (2592877)------------------------------
% 17.64/3.16  % (2592877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592877)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592877)Termination reason: Instruction limit
% 17.64/3.16  % (2592877)Termination phase: Saturation
% 17.64/3.16  % (2592877)Time elapsed: 0.190 s
% 17.64/3.16  % (2592877)Peak memory usage: 92 MB
% 17.64/3.16  % (2592877)Instructions burned: 325 (million)
% 17.64/3.16  % (2592884)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3683242848:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 17.64/3.16  % (2592883)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=837166116:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 17.64/3.16  % (2592885)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1285245397:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.64/3.16  % (2592885)Instruction limit reached! 
% 17.64/3.16  % (2592885)------------------------------
% 17.64/3.16  % (2592885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592885)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592885)Termination reason: Instruction limit
% 17.64/3.16  % (2592885)Termination phase: Saturation
% 17.64/3.16  % (2592885)Time elapsed: 0.069 s
% 17.64/3.16  % (2592885)Peak memory usage: 90 MB
% 17.64/3.16  % (2592885)Instructions burned: 114 (million)
% 17.64/3.16  % (2592883)Instruction limit reached! 
% 17.64/3.16  % (2592883)------------------------------
% 17.64/3.16  % (2592883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592883)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592883)Termination reason: Instruction limit
% 17.64/3.16  % (2592883)Termination phase: Saturation
% 17.64/3.16  % (2592883)Time elapsed: 0.158 s
% 17.64/3.16  % (2592883)Peak memory usage: 89 MB
% 17.64/3.16  % (2592883)Instructions burned: 295 (million)
% 17.64/3.16  % (2592887)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1576211757:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 17.64/3.16  % (2592887)Instruction limit reached! 
% 17.64/3.16  % (2592887)------------------------------
% 17.64/3.16  % (2592887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.64/3.16  % (2592887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.64/3.16  % (2592887)CaDiCaL version: 2.1.3
% 17.64/3.16  % (2592887)Termination reason: Instruction limit
% 17.64/3.16  % (2592887)Termination phase: Saturation
% 37.74/6.07  % (2592887)Time elapsed: 0.060 s
% 37.74/6.07  % (2592887)Peak memory usage: 88 MB
% 37.74/6.07  % (2592887)Instructions burned: 128 (million)
% 37.74/6.07  % (2592890)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=951079046:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 37.74/6.07  % (2592890)Instruction limit reached! 
% 37.74/6.07  % (2592890)------------------------------
% 37.74/6.07  % (2592890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592890)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592890)Termination reason: Instruction limit
% 37.74/6.07  % (2592890)Termination phase: Saturation
% 37.74/6.07  % (2592890)Time elapsed: 0.040 s
% 37.74/6.07  % (2592890)Peak memory usage: 89 MB
% 37.74/6.07  % (2592890)Instructions burned: 117 (million)
% 37.74/6.07  % (2592891)lrs+10_1_sil=8000:sp=occurrence:random_seed=2692567602:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 37.74/6.07  % (2592893)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1990854290:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 37.74/6.07  % (2592895)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4161731020:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 37.74/6.07  % (2592893)Instruction limit reached! 
% 37.74/6.07  % (2592893)------------------------------
% 37.74/6.07  % (2592893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592893)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592893)Termination reason: Instruction limit
% 37.74/6.07  % (2592893)Termination phase: Saturation
% 37.74/6.07  % (2592893)Time elapsed: 0.162 s
% 37.74/6.07  % (2592893)Peak memory usage: 91 MB
% 37.74/6.07  % (2592893)Instructions burned: 438 (million)
% 37.74/6.07  % (2592899)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=428418165:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 37.74/6.07  % (2592899)Instruction limit reached! 
% 37.74/6.07  % (2592899)------------------------------
% 37.74/6.07  % (2592899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592899)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592899)Termination reason: Instruction limit
% 37.74/6.07  % (2592899)Termination phase: Saturation
% 37.74/6.07  % (2592899)Time elapsed: 0.043 s
% 37.74/6.07  % (2592899)Peak memory usage: 90 MB
% 37.74/6.07  % (2592899)Instructions burned: 138 (million)
% 37.74/6.07  % (2592891)Instruction limit reached! 
% 37.74/6.07  % (2592891)------------------------------
% 37.74/6.07  % (2592891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592891)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592891)Termination reason: Instruction limit
% 37.74/6.07  % (2592891)Termination phase: Saturation
% 37.74/6.07  % (2592891)Time elapsed: 0.480 s
% 37.74/6.07  % (2592891)Peak memory usage: 96 MB
% 37.74/6.07  % (2592891)Instructions burned: 908 (million)
% 37.74/6.07  % (2592901)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4007315804:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 37.74/6.07  % (2592901)Instruction limit reached! 
% 37.74/6.07  % (2592901)------------------------------
% 37.74/6.07  % (2592901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592901)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592901)Termination reason: Instruction limit
% 37.74/6.07  % (2592901)Termination phase: Saturation
% 37.74/6.07  % (2592901)Time elapsed: 0.211 s
% 37.74/6.07  % (2592901)Peak memory usage: 93 MB
% 37.74/6.07  % (2592901)Instructions burned: 594 (million)
% 37.74/6.07  % (2592902)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1036598304:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 37.74/6.07  % (2592905)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=3119105483:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 37.74/6.07  % (2592884)Instruction limit reached! 
% 37.74/6.07  % (2592884)------------------------------
% 37.74/6.07  % (2592884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592884)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592884)Termination reason: Instruction limit
% 37.74/6.07  % (2592884)Termination phase: Saturation
% 37.74/6.07  % (2592884)Time elapsed: 1.243 s
% 37.74/6.07  % (2592884)Peak memory usage: 142 MB
% 37.74/6.07  % (2592884)Instructions burned: 2350 (million)
% 37.74/6.07  % (2592905)Instruction limit reached! 
% 37.74/6.07  % (2592905)------------------------------
% 37.74/6.07  % (2592905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592905)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592905)Termination reason: Instruction limit
% 37.74/6.07  % (2592905)Termination phase: Saturation
% 37.74/6.07  % (2592905)Time elapsed: 0.052 s
% 37.74/6.07  % (2592905)Peak memory usage: 90 MB
% 37.74/6.07  % (2592905)Instructions burned: 131 (million)
% 37.74/6.07  % (2592908)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=265737109:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 37.74/6.07  % (2592907)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=903931660:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 37.74/6.07  % (2592908)Instruction limit reached! 
% 37.74/6.07  % (2592908)------------------------------
% 37.74/6.07  % (2592908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592908)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592908)Termination reason: Instruction limit
% 37.74/6.07  % (2592908)Termination phase: Saturation
% 37.74/6.07  % (2592908)Time elapsed: 0.037 s
% 37.74/6.07  % (2592908)Peak memory usage: 89 MB
% 37.74/6.07  % (2592908)Instructions burned: 145 (million)
% 37.74/6.07  % (2592907)Instruction limit reached! 
% 37.74/6.07  % (2592907)------------------------------
% 37.74/6.07  % (2592907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592907)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592907)Termination reason: Instruction limit
% 37.74/6.07  % (2592907)Termination phase: Saturation
% 37.74/6.07  % (2592907)Time elapsed: 0.061 s
% 37.74/6.07  % (2592907)Peak memory usage: 88 MB
% 37.74/6.07  % (2592907)Instructions burned: 134 (million)
% 37.74/6.07  % (2592911)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4143453971:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 37.74/6.07  % (2592911)Instruction limit reached! 
% 37.74/6.07  % (2592911)------------------------------
% 37.74/6.07  % (2592911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592911)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592911)Termination reason: Instruction limit
% 37.74/6.07  % (2592911)Termination phase: Saturation
% 37.74/6.07  % (2592911)Time elapsed: 0.126 s
% 37.74/6.07  % (2592911)Peak memory usage: 91 MB
% 37.74/6.07  % (2592911)Instructions burned: 433 (million)
% 37.74/6.07  % (2592912)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=4200029494:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 37.74/6.07  % (2592914)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=3330220547:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 37.74/6.07  % (2592914)Instruction limit reached! 
% 37.74/6.07  % (2592914)------------------------------
% 37.74/6.07  % (2592914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592914)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592914)Termination reason: Instruction limit
% 37.74/6.07  % (2592914)Termination phase: Saturation
% 37.74/6.07  % (2592914)Time elapsed: 0.058 s
% 37.74/6.07  % (2592914)Peak memory usage: 91 MB
% 37.74/6.07  % (2592914)Instructions burned: 150 (million)
% 37.74/6.07  % (2592917)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2988891921:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 37.74/6.07  % (2592895)Instruction limit reached! 
% 37.74/6.07  % (2592895)------------------------------
% 37.74/6.07  % (2592895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592895)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592895)Termination reason: Instruction limit
% 37.74/6.07  % (2592895)Termination phase: Saturation
% 37.74/6.07  % (2592895)Time elapsed: 2.028 s
% 37.74/6.07  % (2592895)Peak memory usage: 157 MB
% 37.74/6.07  % (2592895)Instructions burned: 5203 (million)
% 37.74/6.07  % (2592919)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=246056005:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 37.74/6.07  % (2592919)Instruction limit reached! 
% 37.74/6.07  % (2592919)------------------------------
% 37.74/6.07  % (2592919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592919)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592919)Termination reason: Instruction limit
% 37.74/6.07  % (2592919)Termination phase: Saturation
% 37.74/6.07  % (2592919)Time elapsed: 0.232 s
% 37.74/6.07  % (2592919)Peak memory usage: 110 MB
% 37.74/6.07  % (2592919)Instructions burned: 669 (million)
% 37.74/6.07  % (2592921)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=854378655:s2a=on:i=185:s2at=1.8:fdi=4_2964 on theBenchmark for (2964ds/185Mi)
% 37.74/6.07  % (2592921)Instruction limit reached! 
% 37.74/6.07  % (2592921)------------------------------
% 37.74/6.07  % (2592921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592921)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592921)Termination reason: Instruction limit
% 37.74/6.07  % (2592921)Termination phase: Saturation
% 37.74/6.07  % (2592921)Time elapsed: 0.067 s
% 37.74/6.07  % (2592921)Peak memory usage: 92 MB
% 37.74/6.07  % (2592921)Instructions burned: 185 (million)
% 37.74/6.07  % (2592923)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1340728275:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2962 on theBenchmark for (2962ds/193Mi)
% 37.74/6.07  % (2592923)Instruction limit reached! 
% 37.74/6.07  % (2592923)------------------------------
% 37.74/6.07  % (2592923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592923)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592923)Termination reason: Instruction limit
% 37.74/6.07  % (2592923)Termination phase: Saturation
% 37.74/6.07  % (2592923)Time elapsed: 0.075 s
% 37.74/6.07  % (2592923)Peak memory usage: 91 MB
% 37.74/6.07  % (2592923)Instructions burned: 196 (million)
% 37.74/6.07  % (2592964)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3856153165:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2960 on theBenchmark for (2960ds/4850Mi)
% 37.74/6.07  % (2592912)Instruction limit reached! 
% 37.74/6.07  % (2592912)------------------------------
% 37.74/6.07  % (2592912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.74/6.07  % (2592912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.74/6.07  % (2592912)CaDiCaL version: 2.1.3
% 37.74/6.07  % (2592912)Termination reason: Instruction limit
% 37.74/6.07  % (2592912)Termination phase: Saturation
% 37.74/6.07  % (2592912)Time elapsed: 2.486 s
% 37.74/6.07  % (2592912)Peak memory usage: 167 MB
% 37.74/6.07  % (2592912)Instructions burned: 6063 (million)
% 37.74/6.07  % (2592966)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4221691312:i=12111:sd=1:ss=included_2951 on theBenchmark for (2951ds/12111Mi)
% 37.74/6.07  % (2592861)First to succeed.
% 37.74/6.07  % (2592861)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2592856"
% 37.74/6.07  % (2592861)Refutation found. Thanks to Tanya!
% 37.74/6.07  % SZS status Theorem for theBenchmark
% 37.74/6.07  % SZS output start Proof for theBenchmark
% See solution above
% 38.22/6.17  % (2592861)------------------------------
% 38.22/6.17  % (2592861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.22/6.17  % (2592861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.22/6.17  % (2592861)CaDiCaL version: 2.1.3
% 38.22/6.17  % (2592861)Termination reason: Refutation
% 38.22/6.17  % (2592861)Time elapsed: 5.035 s
% 38.22/6.17  % (2592861)Peak memory usage: 224 MB
% 38.22/6.17  % (2592861)Instructions burned: 11036 (million)
% 38.22/6.17  % (2592861)------------------------------
% 38.22/6.17  % (2592861)------------------------------
% 38.22/6.17  % (2592856)Success in time 5.483 s
% 38.22/6.17  % Vampire exiting
%------------------------------------------------------------------------------