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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO656-1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 02:28:32 PM UTC 2026

% Result   : Unsatisfiable 8.08s 1.94s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   70 (   4 unt;   0 def)
%            Number of atoms       :  856 (   0 equ)
%            Maximal formula atoms :   29 (  12 avg)
%            Number of connectives : 1389 ( 603   ~; 786   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (  17 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :  258 ( 258   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X4),suc(X3))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X2)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X2),suc(X5))
      | 'E'(f(X3),f(suc(X3)))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X4),f(suc(X4)))
      | 'E'(f(X5),f(suc(X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1185) ).

fof(f10,axiom,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_181) ).

fof(f13,axiom,
    ~ 'LE'(f(z),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_613) ).

fof(f15,axiom,
    ! [X0] :
      ( ~ 'LE'(f(suc(suc(X0))),s('0'))
      | 'E'('0',f(suc(suc(X0))))
      | 'LE'(f(X0),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_73) ).

fof(f36,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X5),f(suc(X5)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X5))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X5),suc(X4))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X2))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X3),suc(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1201) ).

fof(f46,axiom,
    ! [X0] :
      ( ~ 'LE'(f(suc(X0)),s('0'))
      | 'E'('0',f(suc(X0)))
      | 'LE'(f(X0),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_968) ).

fof(f63,axiom,
    ! [X0] :
      ( ~ 'LE'(f(X0),s('0'))
      | 'E'('0',f(X0))
      | 'LE'(f(X0),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1005) ).

fof(f65,axiom,
    ! [X0] : 'LE'(f(X0),s('0')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1153) ).

fof(f70,axiom,
    ! [X0] :
      ( ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_854) ).

fof(f72,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | 'E'('0',f(X0)) ),
    inference(forward_subsumption_resolution,[],[f63,f65]) ).

fof(f81,plain,
    ! [X0] :
      ( 'E'('0',f(suc(X0)))
      | 'LE'(f(X0),'0') ),
    inference(forward_subsumption_resolution,[],[f46,f65]) ).

fof(f104,plain,
    ! [X0] :
      ( 'E'('0',f(suc(suc(X0))))
      | 'LE'(f(X0),'0') ),
    inference(forward_subsumption_resolution,[],[f15,f65]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0)) ),
    inference(resolution,[],[f10,f70]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0))
      | ~ 'E'('0',f(suc(X0))) ),
    inference(duplicate_literal_removal,[],[f116]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0))
      | ~ 'E'('0',f(suc(X0)))
      | 'LE'(f(X0),'0') ),
    inference(resolution,[],[f117,f104]) ).

fof(f121,plain,
    ! [X0] :
      ( iLEQ(suc(X0),suc(X0))
      | ~ 'E'('0',f(suc(X0)))
      | 'LE'(f(X0),'0') ),
    inference(forward_subsumption_resolution,[],[f118,f72]) ).

fof(f122,plain,
    ! [X0] :
      ( iLEQ(suc(X0),suc(X0))
      | 'LE'(f(X0),'0') ),
    inference(forward_subsumption_resolution,[],[f121,f81]) ).

fof(f126,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X4),f(suc(X4)))
      | 'LE'(f(X2),'0') ),
    inference(resolution,[],[f6,f122]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X4),f(suc(X4)))
      | 'LE'(f(X2),'0') ),
    inference(duplicate_literal_removal,[],[f126]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X4),f(suc(X4)))
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f127,f72]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X4),f(suc(X4)))
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f128,f81]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X3))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X3))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0') ),
    inference(resolution,[],[f129,f122]) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(X3))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X3))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0') ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(X3))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X3))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0') ),
    inference(forward_subsumption_resolution,[],[f133,f72]) ).

fof(f135,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iLEQ(suc(X2),suc(X0))
      | ~ 'E'('0',f(X3))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X3))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X3),f(suc(X3)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0') ),
    inference(forward_subsumption_resolution,[],[f134,f81]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X2),suc(X0))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X2),'0')
      | 'LE'(f(X2),'0') ),
    inference(resolution,[],[f135,f122]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X2),suc(X0))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X2),'0') ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X2),suc(X0))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f137,f72]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ iLEQ(suc(X2),suc(X0))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X0))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X2),f(suc(X2)))
      | 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f138,f81]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(X1))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | 'E'(f(X1),f(suc(X1)))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X1),'0') ),
    inference(resolution,[],[f139,f122]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(X1))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0') ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(X1)))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0') ),
    inference(forward_subsumption_resolution,[],[f141,f72]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X1),f(suc(X1)))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0') ),
    inference(forward_subsumption_resolution,[],[f142,f81]) ).

fof(f144,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X0),'0') ),
    inference(resolution,[],[f143,f122]) ).

fof(f145,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | 'LE'(f(X0),'0') ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X0),suc(X4))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(X2))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X3),suc(X5)) ),
    inference(resolution,[],[f145,f36]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X0),suc(X4))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(X2))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X3),suc(X5)) ),
    inference(forward_subsumption_resolution,[],[f147,f72]) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X0),suc(X4))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(X2))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X3),suc(X5)) ),
    inference(forward_subsumption_resolution,[],[f149,f81]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X5),f(suc(X5)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X0),suc(X4))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(X2))
      | 'LE'(f(X0),'0')
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X3),suc(X5)) ),
    inference(forward_subsumption_resolution,[],[f151,f104]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X2)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X5),suc(X3))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X1))
      | 'LE'(f(X5),'0')
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X2),suc(X4))
      | 'LE'(f(X4),'0') ),
    inference(resolution,[],[f153,f145]) ).

fof(f158,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X2)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X5),suc(X3))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X1))
      | 'LE'(f(X5),'0')
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X2),suc(X4))
      | 'LE'(f(X4),'0') ),
    inference(forward_subsumption_resolution,[],[f155,f72]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X2)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X5),suc(X3))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X1))
      | 'LE'(f(X5),'0')
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X2),suc(X4))
      | 'LE'(f(X4),'0') ),
    inference(forward_subsumption_resolution,[],[f158,f81]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X2)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X5),suc(X3))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(X1))
      | 'LE'(f(X5),'0')
      | ~ 'E'('0',f(suc(X3)))
      | ~ 'E'('0',f(X3))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X2),suc(X4))
      | 'LE'(f(X4),'0') ),
    inference(forward_subsumption_resolution,[],[f159,f104]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X2))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X3))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X2))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X2),'0') ),
    inference(resolution,[],[f160,f145]) ).

fof(f164,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X2))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X3))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f161,f72]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X2))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X3))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f164,f81]) ).

fof(f166,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ iLEQ(suc(X2),suc(X0))
      | ~ iLEQ(suc(X0),suc(X3))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X2))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ iLEQ(suc(X3),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ 'E'('0',f(X3))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X1),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X2),'0') ),
    inference(forward_subsumption_resolution,[],[f165,f104]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X3))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0') ),
    inference(resolution,[],[f166,f145]) ).

fof(f170,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ 'E'('0',f(suc(X3)))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0') ),
    inference(forward_subsumption_resolution,[],[f167,f72]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X2),f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(suc(X3))))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0') ),
    inference(forward_subsumption_resolution,[],[f170,f81]) ).

fof(f172,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X2),f(suc(X2)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ 'E'('0',f(suc(X2)))
      | ~ 'E'('0',f(suc(suc(X2))))
      | ~ iLEQ(suc(X4),suc(X1))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | 'LE'(f(X4),'0')
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(X2))
      | ~ iLEQ(suc(X0),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0') ),
    inference(forward_subsumption_resolution,[],[f171,f104]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ iLEQ(suc(X2),suc(X4))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X3),'0')
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X2),'0')
      | 'LE'(f(X1),'0') ),
    inference(resolution,[],[f172,f145]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ iLEQ(suc(X2),suc(X4))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X3),'0')
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X2),'0')
      | 'LE'(f(X1),'0') ),
    inference(forward_subsumption_resolution,[],[f173,f72]) ).

fof(f177,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ 'E'('0',f(suc(suc(X1))))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ iLEQ(suc(X2),suc(X4))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X3),'0')
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X2),'0')
      | 'LE'(f(X1),'0') ),
    inference(forward_subsumption_resolution,[],[f176,f81]) ).

fof(f178,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ 'E'(f(X4),f(suc(X4)))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X2),suc(X4))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X3),'0')
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X2),'0')
      | 'LE'(f(X1),'0') ),
    inference(forward_subsumption_resolution,[],[f177,f104]) ).

fof(f179,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X2),'0')
      | ~ 'E'('0',f(X4))
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X4),'0') ),
    inference(resolution,[],[f178,f145]) ).

fof(f182,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X2),'0')
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X4),'0') ),
    inference(forward_subsumption_resolution,[],[f179,f72]) ).

fof(f183,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | ~ 'E'('0',f(suc(suc(X4))))
      | 'LE'(f(X2),'0')
      | ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X4),'0') ),
    inference(forward_subsumption_resolution,[],[f182,f81]) ).

fof(f184,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ iLEQ(suc(X4),suc(X5))
      | ~ iLEQ(suc(X2),suc(X3))
      | ~ iLEQ(suc(X3),suc(X0))
      | ~ iLEQ(suc(X1),suc(X4))
      | 'LE'(f(X2),'0')
      | ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X5),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X4),'0') ),
    inference(forward_subsumption_resolution,[],[f183,f104]) ).

fof(f185,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X3),suc(X4))
      | 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X2),suc(X3))
      | 'LE'(f(X4),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X2),'0')
      | 'LE'(f(X4),'0')
      | 'LE'(f(X4),'0') ),
    inference(resolution,[],[f184,f122]) ).

fof(f186,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iLEQ(suc(X3),suc(X4))
      | ~ iLEQ(suc(X1),suc(X2))
      | ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X2),suc(X3))
      | 'LE'(f(X4),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X2),'0') ),
    inference(duplicate_literal_removal,[],[f185]) ).

fof(f187,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | ~ iLEQ(suc(X2),suc(X0))
      | 'LE'(f(X2),'0')
      | ~ iLEQ(suc(X1),suc(X3))
      | 'LE'(f(X3),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X3),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X3),'0') ),
    inference(resolution,[],[f186,f122]) ).

fof(f188,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iLEQ(suc(X2),suc(X0))
      | ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X2),'0')
      | ~ iLEQ(suc(X1),suc(X3))
      | 'LE'(f(X3),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0') ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X1),suc(X2))
      | 'LE'(f(X2),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0') ),
    inference(resolution,[],[f188,f122]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( ~ iLEQ(suc(X1),suc(X2))
      | 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X2),'0')
      | 'LE'(f(X1),'0') ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( 'LE'(f(X0),'0')
      | ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X1),'0')
      | 'LE'(f(X1),'0') ),
    inference(resolution,[],[f190,f122]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0') ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f193,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | 'LE'(f(X0),'0')
      | 'LE'(f(X0),'0') ),
    inference(resolution,[],[f192,f122]) ).

fof(f194,plain,
    ! [X0] : 'LE'(f(X0),'0'),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f195,plain,
    $false,
    inference(resolution,[],[f194,f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO656-1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n019.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 18:01:33 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 8.08/1.94  % (53262)Input is clausal, will run a generic CNF schedule.
% 8.08/1.94  % (53271)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=760222630:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.08/1.94  % (53271)Refutation not found, incomplete strategy
% 8.08/1.94  % (53271)------------------------------
% 8.08/1.94  % (53271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53271)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53271)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53271)Time elapsed: 0.001 s
% 8.08/1.94  % (53271)Peak memory usage: 86 MB
% 8.08/1.94  % (53271)Instructions burned: 2 (million)
% 8.08/1.94  % (53269)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=346176086:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.08/1.94  % (53273)dis-21_1_sil=8000:lcm=predicate:random_seed=1019369727:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.08/1.94  % (53268)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=351956103:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.08/1.94  % (53267)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=1929294939:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.08/1.94  % (53270)lrs+10_1_sil=8000:sp=occurrence:random_seed=1834174588:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.08/1.94  % (53272)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1553860177:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.08/1.94  % (53270)Refutation not found, incomplete strategy
% 8.08/1.94  % (53270)------------------------------
% 8.08/1.94  % (53270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53270)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53270)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53270)Time elapsed: 0.001 s
% 8.08/1.94  % (53270)Peak memory usage: 86 MB
% 8.08/1.94  % (53270)Instructions burned: 1 (million)
% 8.08/1.94  % (53273)Instruction limit reached! 
% 8.08/1.94  % (53273)------------------------------
% 8.08/1.94  % (53273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53273)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53273)Termination reason: Instruction limit
% 8.08/1.94  % (53273)Termination phase: Saturation
% 8.08/1.94  % (53273)Time elapsed: 0.045 s
% 8.08/1.94  % (53273)Peak memory usage: 87 MB
% 8.08/1.94  % (53273)Instructions burned: 118 (million)
% 8.08/1.94  % (53272)Instruction limit reached! 
% 8.08/1.94  % (53272)------------------------------
% 8.08/1.94  % (53272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53272)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53272)Termination reason: Instruction limit
% 8.08/1.94  % (53272)Termination phase: Saturation
% 8.08/1.94  % (53272)Time elapsed: 0.069 s
% 8.08/1.94  % (53272)Peak memory usage: 87 MB
% 8.08/1.94  % (53272)Instructions burned: 181 (million)
% 8.08/1.94  % (53271)------------------------------
% 8.08/1.94  % (53271)------------------------------
% 8.08/1.94  % (53281)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2484201206:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.08/1.94  % (53281)Refutation not found, incomplete strategy
% 8.08/1.94  % (53281)------------------------------
% 8.08/1.94  % (53281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53281)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53281)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53281)Time elapsed: 0.001 s
% 8.08/1.94  % (53281)Peak memory usage: 86 MB
% 8.08/1.94  % (53281)Instructions burned: 1 (million)
% 8.08/1.94  % (53282)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=993337189:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.08/1.94  % (53282)Refutation not found, incomplete strategy
% 8.08/1.94  % (53282)------------------------------
% 8.08/1.94  % (53282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53282)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53282)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53282)Time elapsed: 0.002 s
% 8.08/1.94  % (53282)Peak memory usage: 86 MB
% 8.08/1.94  % (53282)Instructions burned: 4 (million)
% 8.08/1.94  % (53283)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2584865540:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.08/1.94  % (53283)Refutation not found, incomplete strategy
% 8.08/1.94  % (53283)------------------------------
% 8.08/1.94  % (53283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53283)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53283)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53283)Time elapsed: 0.001 s
% 8.08/1.94  % (53283)Peak memory usage: 86 MB
% 8.08/1.94  % (53283)Instructions burned: 2 (million)
% 8.08/1.94  % (53270)------------------------------
% 8.08/1.94  % (53270)------------------------------
% 8.08/1.94  % (53283)------------------------------
% 8.08/1.94  % (53283)------------------------------
% 8.08/1.94  % (53287)lrs+10_64_to=lpo:sil=8000:random_seed=2817343157:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.08/1.94  % (53281)------------------------------
% 8.08/1.94  % (53281)------------------------------
% 8.08/1.94  % (53282)------------------------------
% 8.08/1.94  % (53282)------------------------------
% 8.08/1.94  % (53287)Instruction limit reached! 
% 8.08/1.94  % (53287)------------------------------
% 8.08/1.94  % (53287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53287)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53287)Termination reason: Instruction limit
% 8.08/1.94  % (53287)Termination phase: Saturation
% 8.08/1.94  % (53287)Time elapsed: 0.052 s
% 8.08/1.94  % (53287)Peak memory usage: 86 MB
% 8.08/1.94  % (53287)Instructions burned: 126 (million)
% 8.08/1.94  % (53288)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1702811898:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.08/1.94  % (53288)Instruction limit reached! 
% 8.08/1.94  % (53288)------------------------------
% 8.08/1.94  % (53288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53288)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53288)Termination reason: Instruction limit
% 8.08/1.94  % (53288)Termination phase: Saturation
% 8.08/1.94  % (53288)Time elapsed: 0.042 s
% 8.08/1.94  % (53288)Peak memory usage: 86 MB
% 8.08/1.94  % (53288)Instructions burned: 196 (million)
% 8.08/1.94  % (53292)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1866345048:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.08/1.94  % (53291)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2367487484:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.08/1.94  % (53290)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1360753903:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.08/1.94  % (53292)Refutation not found, incomplete strategy
% 8.08/1.94  % (53292)------------------------------
% 8.08/1.94  % (53292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53292)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53292)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53292)Time elapsed: 0.002 s
% 8.08/1.94  % (53292)Peak memory usage: 86 MB
% 8.08/1.94  % (53292)Instructions burned: 3 (million)
% 8.08/1.94  % (53294)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3362669938:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.08/1.94  % (53290)Instruction limit reached! 
% 8.08/1.94  % (53290)------------------------------
% 8.08/1.94  % (53290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53290)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53290)Termination reason: Instruction limit
% 8.08/1.94  % (53290)Termination phase: Saturation
% 8.08/1.94  % (53290)Time elapsed: 0.064 s
% 8.08/1.94  % (53290)Peak memory usage: 87 MB
% 8.08/1.94  % (53290)Instructions burned: 158 (million)
% 8.08/1.94  % (53294)Refutation not found, incomplete strategy
% 8.08/1.94  % (53294)------------------------------
% 8.08/1.94  % (53294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53294)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53294)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53294)Time elapsed: 0.003 s
% 8.08/1.94  % (53294)Peak memory usage: 87 MB
% 8.08/1.94  % (53294)Instructions burned: 13 (million)
% 8.08/1.94  % (53268)Refutation not found, incomplete strategy
% 8.08/1.94  % (53268)------------------------------
% 8.08/1.94  % (53268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53268)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53268)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53268)Time elapsed: 0.771 s
% 8.08/1.94  % (53268)Peak memory usage: 128 MB
% 8.08/1.94  % (53268)Instructions burned: 1271 (million)
% 8.08/1.94  % (53267)First to succeed.
% 8.08/1.94  % (53267)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-53262"
% 8.08/1.94  % (53294)------------------------------
% 8.08/1.94  % (53294)------------------------------
% 8.08/1.94  % (53299)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2619644668:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.08/1.94  % (53269)Also succeeded, but the first one will report.
% 8.08/1.94  % (53292)------------------------------
% 8.08/1.94  % (53292)------------------------------
% 8.08/1.94  % (53299)Instruction limit reached! 
% 8.08/1.94  % (53299)------------------------------
% 8.08/1.94  % (53299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53299)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53299)Termination reason: Instruction limit
% 8.08/1.94  % (53299)Termination phase: Saturation
% 8.08/1.94  % (53299)Time elapsed: 0.097 s
% 8.08/1.94  % (53299)Peak memory usage: 87 MB
% 8.08/1.94  % (53299)Instructions burned: 244 (million)
% 8.08/1.94  % (53300)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=575148722:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 8.08/1.94  % (53268)------------------------------
% 8.08/1.94  % (53268)------------------------------
% 8.08/1.94  % (53302)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2463856999:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.08/1.94  % (53302)Refutation not found, incomplete strategy
% 8.08/1.94  % (53302)------------------------------
% 8.08/1.94  % (53302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/1.94  % (53302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/1.94  % (53302)CaDiCaL version: 2.1.3
% 8.08/1.94  % (53302)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.94  % (53302)Time elapsed: 0.001 s
% 8.08/1.94  % (53302)Peak memory usage: 87 MB
% 8.08/1.94  % (53302)Instructions burned: 1 (million)
% 8.08/1.94  % (53267)Refutation found. Thanks to Tanya!
% 8.08/1.94  % SZS status Unsatisfiable for theBenchmark
% 8.08/1.94  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/2.14  % (53267)------------------------------
% 0.21/2.14  % (53267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/2.14  % (53267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/2.14  % (53267)CaDiCaL version: 2.1.3
% 0.21/2.14  % (53267)Termination reason: Refutation
% 0.21/2.14  % (53267)Time elapsed: 0.806 s
% 0.21/2.14  % (53267)Peak memory usage: 127 MB
% 0.21/2.14  % (53267)Instructions burned: 1333 (million)
% 0.21/2.14  % (53267)------------------------------
% 0.21/2.14  % (53267)------------------------------
% 0.21/2.14  % (53262)Success in time 1.271 s
% 0.21/2.14  % Vampire exiting
%------------------------------------------------------------------------------