TSTP Solution File: SYO685-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO685-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:52:00 EDT 2022

% Result   : Unsatisfiable 2.99s 0.78s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  129 (   8 unt;   0 def)
%            Number of atoms       :  561 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  797 ( 365   ~; 432   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    6 (   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   :  180 ( 180   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2291,plain,
    $false,
    inference(resolution,[],[f2159,f20]) ).

fof(f20,axiom,
    ~ 'LE'(f(z),'0'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_96) ).

fof(f2159,plain,
    ! [X10] : 'LE'(f(X10),'0'),
    inference(duplicate_literal_removal,[],[f2089]) ).

fof(f2089,plain,
    ! [X10] :
      ( 'LE'(f(X10),'0')
      | 'LE'(f(X10),'0')
      | 'LE'(f(X10),'0') ),
    inference(resolution,[],[f2078,f1549]) ).

fof(f1549,plain,
    ! [X0] :
      ( iLEQ(suc(X0),suc(X0))
      | 'LE'(f(X0),'0') ),
    inference(subsumption_resolution,[],[f1548,f1509]) ).

fof(f1509,plain,
    ! [X1] :
      ( 'E'('0',f(suc(X1)))
      | 'LE'(f(X1),'0') ),
    inference(resolution,[],[f1485,f29]) ).

fof(f29,axiom,
    ! [X14] :
      ( ~ 'LE'(f(suc(X14)),s('0'))
      | 'LE'(f(X14),'0')
      | 'E'('0',f(suc(X14))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_168) ).

fof(f1485,plain,
    ! [X5] : 'LE'(f(X5),s('0')),
    inference(duplicate_literal_removal,[],[f1423]) ).

fof(f1423,plain,
    ! [X5] :
      ( 'LE'(f(X5),s('0'))
      | 'LE'(f(X5),s('0'))
      | 'LE'(f(X5),s('0')) ),
    inference(resolution,[],[f1328,f746]) ).

fof(f746,plain,
    ! [X6] :
      ( iLEQ(suc(X6),suc(X6))
      | 'LE'(f(X6),s('0')) ),
    inference(subsumption_resolution,[],[f745,f696]) ).

fof(f696,plain,
    ! [X0] :
      ( 'LE'(f(X0),s('0'))
      | 'E'(s('0'),f(X0)) ),
    inference(resolution,[],[f681,f13]) ).

fof(f13,axiom,
    ! [X10] :
      ( ~ 'LE'(f(X10),s(s('0')))
      | 'E'(s('0'),f(X10))
      | 'LE'(f(X10),s('0')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_184) ).

fof(f681,plain,
    ! [X1] : 'LE'(f(X1),s(s('0'))),
    inference(duplicate_literal_removal,[],[f637]) ).

fof(f637,plain,
    ! [X1] :
      ( 'LE'(f(X1),s(s('0')))
      | 'LE'(f(X1),s(s('0')))
      | 'LE'(f(X1),s(s('0'))) ),
    inference(resolution,[],[f626,f352]) ).

fof(f352,plain,
    ! [X6] :
      ( iLEQ(suc(X6),suc(X6))
      | 'LE'(f(X6),s(s('0'))) ),
    inference(subsumption_resolution,[],[f351,f323]) ).

fof(f323,plain,
    ! [X1] :
      ( 'E'(s(s('0')),f(suc(X1)))
      | 'LE'(f(X1),s(s('0'))) ),
    inference(resolution,[],[f316,f19]) ).

fof(f19,axiom,
    ! [X2] :
      ( ~ 'LE'(f(suc(X2)),s(s(s('0'))))
      | 'LE'(f(X2),s(s('0')))
      | 'E'(s(s('0')),f(suc(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_86) ).

fof(f316,plain,
    ! [X2] : 'LE'(f(X2),s(s(s('0')))),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f291,plain,
    ! [X2] :
      ( 'LE'(f(X2),s(s(s('0'))))
      | 'LE'(f(X2),s(s(s('0'))))
      | 'LE'(f(X2),s(s(s('0')))) ),
    inference(resolution,[],[f279,f104]) ).

fof(f104,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s(s('0'))))
      | iLEQ(suc(X0),suc(X0)) ),
    inference(subsumption_resolution,[],[f103,f85]) ).

fof(f85,plain,
    ! [X1] :
      ( 'E'(s(s(s('0'))),f(suc(X1)))
      | 'LE'(f(X1),s(s(s('0')))) ),
    inference(resolution,[],[f83,f38]) ).

fof(f38,axiom,
    ! [X13] :
      ( ~ 'LE'(f(suc(X13)),s(s(s(s('0')))))
      | 'LE'(f(X13),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(suc(X13))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_111) ).

fof(f83,plain,
    ! [X1] : 'LE'(f(X1),s(s(s(s('0'))))),
    inference(subsumption_resolution,[],[f82,f59]) ).

fof(f59,plain,
    ! [X12] :
      ( 'LE'(f(X12),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(X12)) ),
    inference(subsumption_resolution,[],[f35,f45]) ).

fof(f45,axiom,
    ! [X15] : 'LE'(f(X15),s(s(s(s(s('0')))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_53) ).

fof(f35,axiom,
    ! [X12] :
      ( 'LE'(f(X12),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(X12))
      | ~ 'LE'(f(X12),s(s(s(s(s('0')))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_113) ).

fof(f82,plain,
    ! [X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(X1))
      | 'LE'(f(X1),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f79,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( 'E'(s(s(s(s('0')))),f(suc(X0)))
      | 'LE'(f(X0),s(s(s(s('0'))))) ),
    inference(resolution,[],[f15,f45]) ).

fof(f15,axiom,
    ! [X12] :
      ( ~ 'LE'(f(suc(X12)),s(s(s(s(s('0'))))))
      | 'LE'(f(X12),s(s(s(s('0')))))
      | 'E'(s(s(s(s('0')))),f(suc(X12))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_191) ).

fof(f79,plain,
    ! [X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
      | 'LE'(f(X1),s(s(s(s('0')))))
      | ~ 'E'(s(s(s(s('0')))),f(X1)) ),
    inference(resolution,[],[f65,f53]) ).

fof(f53,plain,
    ! [X12] :
      ( 'E'(s(s(s(s('0')))),f(suc(suc(X12))))
      | 'LE'(f(X12),s(s(s(s('0'))))) ),
    inference(subsumption_resolution,[],[f16,f45]) ).

fof(f16,axiom,
    ! [X12] :
      ( 'E'(s(s(s(s('0')))),f(suc(suc(X12))))
      | ~ 'LE'(f(suc(suc(X12))),s(s(s(s(s('0'))))))
      | 'LE'(f(X12),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_93) ).

fof(f65,plain,
    ! [X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X1))))
      | ~ 'E'(s(s(s(s('0')))),f(X1))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X1))) ),
    inference(subsumption_resolution,[],[f64,f54]) ).

fof(f54,plain,
    ! [X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s(s(s('0')))),f(X1)) ),
    inference(subsumption_resolution,[],[f2,f37]) ).

fof(f37,axiom,
    ! [X11,X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(suc(X11)))
      | 'E'(f(X11),f(suc(X11)))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
      | ~ iLEQ(suc(X1),suc(X11))
      | 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s(s(s('0')))),f(X1))
      | ~ 'E'(s(s(s(s('0')))),f(X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).

fof(f2,axiom,
    ! [X1] :
      ( 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s(s(s('0')))),f(X1))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
      | iLEQ(suc(X1),suc(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_130) ).

fof(f64,plain,
    ! [X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(X1))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s(s(s('0')))),f(suc(suc(X1))))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X1))) ),
    inference(subsumption_resolution,[],[f11,f46]) ).

fof(f46,axiom,
    ! [X11,X1] :
      ( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X11))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ iLEQ(suc(X1),suc(X11))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X11)))
      | ~ 'E'(s(s(s(s('0')))),f(X11))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
      | ~ 'E'(f(X11),f(suc(X11)))
      | ~ 'E'(s(s(s(s('0')))),f(suc(suc(X1))))
      | ~ 'E'(s(s(s(s('0')))),f(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_183) ).

fof(f11,axiom,
    ! [X1] :
      ( ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s(s(s('0')))),f(suc(X1)))
      | ~ 'E'(s(s(s(s('0')))),f(suc(suc(X1))))
      | iLEQ(suc(X1),suc(X1))
      | ~ 'E'(s(s(s(s('0')))),f(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_79) ).

fof(f103,plain,
    ! [X0] :
      ( iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s(s('0'))),f(suc(X0)))
      | 'LE'(f(X0),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f100,f84]) ).

fof(f84,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(X0)) ),
    inference(resolution,[],[f83,f18]) ).

fof(f18,axiom,
    ! [X13] :
      ( ~ 'LE'(f(X13),s(s(s(s('0')))))
      | 'E'(s(s(s('0'))),f(X13))
      | 'LE'(f(X13),s(s(s('0')))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_95) ).

fof(f100,plain,
    ! [X0] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X0)))
      | iLEQ(suc(X0),suc(X0))
      | 'LE'(f(X0),s(s(s('0'))))
      | ~ 'E'(s(s(s('0'))),f(X0)) ),
    inference(resolution,[],[f86,f57]) ).

fof(f57,plain,
    ! [X6] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
      | iLEQ(suc(X6),suc(X6))
      | ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(X6)) ),
    inference(subsumption_resolution,[],[f10,f49]) ).

fof(f49,plain,
    ! [X6] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(X6))
      | 'E'(f(X6),f(suc(X6))) ),
    inference(subsumption_resolution,[],[f7,f22]) ).

fof(f22,axiom,
    ! [X6,X7] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X7)))
      | ~ 'E'(s(s(s('0'))),f(X7))
      | 'E'(f(X6),f(suc(X6)))
      | 'E'(f(X7),f(suc(X7)))
      | ~ iLEQ(suc(X6),suc(X7))
      | ~ 'E'(s(s(s('0'))),f(X6))
      | ~ 'E'(s(s(s('0'))),f(suc(X6))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49) ).

fof(f7,axiom,
    ! [X6] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | iLEQ(suc(X6),suc(X6))
      | 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).

fof(f10,axiom,
    ! [X6] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | ~ 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(X6))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
      | iLEQ(suc(X6),suc(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_190) ).

fof(f86,plain,
    ! [X2] :
      ( 'E'(s(s(s('0'))),f(suc(suc(X2))))
      | 'LE'(f(X2),s(s(s('0')))) ),
    inference(resolution,[],[f83,f23]) ).

fof(f23,axiom,
    ! [X13] :
      ( ~ 'LE'(f(suc(suc(X13))),s(s(s(s('0')))))
      | 'E'(s(s(s('0'))),f(suc(suc(X13))))
      | 'LE'(f(X13),s(s(s('0')))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_52) ).

fof(f279,plain,
    ! [X2,X3] :
      ( ~ iLEQ(suc(X2),suc(X3))
      | 'LE'(f(X2),s(s(s('0'))))
      | 'LE'(f(X3),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f278,f85]) ).

fof(f278,plain,
    ! [X2,X3] :
      ( 'LE'(f(X3),s(s(s('0'))))
      | ~ 'E'(s(s(s('0'))),f(suc(X2)))
      | ~ iLEQ(suc(X2),suc(X3))
      | 'LE'(f(X2),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f274,f84]) ).

fof(f274,plain,
    ! [X2,X3] :
      ( 'LE'(f(X3),s(s(s('0'))))
      | ~ 'E'(s(s(s('0'))),f(X2))
      | ~ 'E'(s(s(s('0'))),f(suc(X2)))
      | 'LE'(f(X2),s(s(s('0'))))
      | ~ iLEQ(suc(X2),suc(X3)) ),
    inference(resolution,[],[f138,f86]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
      | ~ 'E'(s(s(s('0'))),f(X1))
      | ~ iLEQ(suc(X1),suc(X0))
      | 'LE'(f(X0),s(s(s('0'))))
      | ~ 'E'(s(s(s('0'))),f(suc(X1))) ),
    inference(subsumption_resolution,[],[f137,f85]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s(s('0'))),f(X1))
      | 'LE'(f(X0),s(s(s('0'))))
      | ~ 'E'(s(s(s('0'))),f(suc(X1)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
      | ~ 'E'(s(s(s('0'))),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f134,f84]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X1))))
      | 'LE'(f(X0),s(s(s('0'))))
      | ~ 'E'(s(s(s('0'))),f(X1))
      | ~ 'E'(s(s(s('0'))),f(suc(X1)))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s(s('0'))),f(X0))
      | ~ 'E'(s(s(s('0'))),f(suc(X0))) ),
    inference(resolution,[],[f61,f86]) ).

fof(f61,plain,
    ! [X6,X7] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X7))))
      | ~ 'E'(s(s(s('0'))),f(suc(X7)))
      | ~ 'E'(s(s(s('0'))),f(X7))
      | ~ 'E'(s(s(s('0'))),f(X6))
      | ~ iLEQ(suc(X6),suc(X7))
      | ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X6)))) ),
    inference(subsumption_resolution,[],[f60,f49]) ).

fof(f60,plain,
    ! [X6,X7] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X7))))
      | ~ 'E'(f(X7),f(suc(X7)))
      | ~ 'E'(s(s(s('0'))),f(suc(X7)))
      | ~ iLEQ(suc(X6),suc(X7))
      | ~ 'E'(s(s(s('0'))),f(X6))
      | ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
      | ~ 'E'(s(s(s('0'))),f(X7)) ),
    inference(subsumption_resolution,[],[f43,f49]) ).

fof(f43,axiom,
    ! [X6,X7] :
      ( ~ 'E'(s(s(s('0'))),f(X6))
      | ~ iLEQ(suc(X6),suc(X7))
      | ~ 'E'(s(s(s('0'))),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
      | ~ 'E'(s(s(s('0'))),f(X7))
      | ~ 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s(s(s('0'))),f(suc(X7)))
      | ~ 'E'(f(X7),f(suc(X7)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X7)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_73) ).

fof(f351,plain,
    ! [X6] :
      ( ~ 'E'(s(s('0')),f(suc(X6)))
      | 'LE'(f(X6),s(s('0')))
      | iLEQ(suc(X6),suc(X6)) ),
    inference(subsumption_resolution,[],[f343,f105]) ).

fof(f105,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | iLEQ(suc(X0),suc(X0))
      | 'E'(s(s('0')),f(X0)) ),
    inference(resolution,[],[f104,f3]) ).

fof(f3,axiom,
    ! [X2] :
      ( ~ 'LE'(f(X2),s(s(s('0'))))
      | 'E'(s(s('0')),f(X2))
      | 'LE'(f(X2),s(s('0'))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_125) ).

fof(f343,plain,
    ! [X6] :
      ( iLEQ(suc(X6),suc(X6))
      | 'LE'(f(X6),s(s('0')))
      | ~ 'E'(s(s('0')),f(suc(X6)))
      | ~ 'E'(s(s('0')),f(X6)) ),
    inference(resolution,[],[f324,f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s('0')),f(X0)) ),
    inference(subsumption_resolution,[],[f17,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0))
      | 'E'(f(X0),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f1,f40]) ).

fof(f40,axiom,
    ! [X0,X8] :
      ( ~ 'E'(s(s('0')),f(suc(X8)))
      | 'E'(f(X8),f(suc(X8)))
      | ~ 'E'(s(s('0')),f(X8))
      | 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ iLEQ(suc(X0),suc(X8))
      | ~ 'E'(s(s('0')),f(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_115) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ 'E'(s(s('0')),f(suc(X0)))
      | iLEQ(suc(X0),suc(X0))
      | ~ 'E'(s(s('0')),f(X0))
      | 'E'(f(X0),f(suc(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_143) ).

fof(f17,axiom,
    ! [X0] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0))
      | iLEQ(suc(X0),suc(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_40) ).

fof(f324,plain,
    ! [X2] :
      ( 'E'(s(s('0')),f(suc(suc(X2))))
      | 'LE'(f(X2),s(s('0'))) ),
    inference(resolution,[],[f316,f8]) ).

fof(f8,axiom,
    ! [X2] :
      ( ~ 'LE'(f(suc(suc(X2))),s(s(s('0'))))
      | 'E'(s(s('0')),f(suc(suc(X2))))
      | 'LE'(f(X2),s(s('0'))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_97) ).

fof(f626,plain,
    ! [X4,X5] :
      ( ~ iLEQ(suc(X4),suc(X5))
      | 'LE'(f(X5),s(s('0')))
      | 'LE'(f(X4),s(s('0'))) ),
    inference(subsumption_resolution,[],[f625,f323]) ).

fof(f625,plain,
    ! [X4,X5] :
      ( 'LE'(f(X4),s(s('0')))
      | 'LE'(f(X5),s(s('0')))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X4))) ),
    inference(subsumption_resolution,[],[f620,f322]) ).

fof(f322,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | 'E'(s(s('0')),f(X0)) ),
    inference(resolution,[],[f316,f3]) ).

fof(f620,plain,
    ! [X4,X5] :
      ( ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'(s(s('0')),f(suc(X4)))
      | 'LE'(f(X5),s(s('0')))
      | ~ 'E'(s(s('0')),f(X4))
      | 'LE'(f(X4),s(s('0'))) ),
    inference(resolution,[],[f350,f324]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X1))))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(X1))
      | 'LE'(f(X0),s(s('0')))
      | ~ 'E'(s(s('0')),f(suc(X1))) ),
    inference(subsumption_resolution,[],[f349,f323]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X1))))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(X1))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | 'LE'(f(X0),s(s('0'))) ),
    inference(subsumption_resolution,[],[f348,f52]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(X1))
      | 'LE'(f(X0),s(s('0')))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(suc(suc(X1)))) ),
    inference(subsumption_resolution,[],[f347,f322]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(suc(X1))))
      | ~ 'E'(s(s('0')),f(X1))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | 'LE'(f(X0),s(s('0'))) ),
    inference(subsumption_resolution,[],[f340,f48]) ).

fof(f48,plain,
    ! [X0,X8] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | 'E'(f(X8),f(suc(X8)))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(X8)))
      | ~ iLEQ(suc(X0),suc(X8))
      | ~ 'E'(s(s('0')),f(X8)) ),
    inference(subsumption_resolution,[],[f24,f40]) ).

fof(f24,axiom,
    ! [X0,X8] :
      ( ~ iLEQ(suc(X0),suc(X8))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X8)))
      | ~ 'E'(s(s('0')),f(X8))
      | ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | 'E'(f(X8),f(suc(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_154) ).

fof(f340,plain,
    ! [X0,X1] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(suc(X1))))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s(s('0')),f(suc(X1)))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X1))
      | ~ iLEQ(suc(X1),suc(X0)) ),
    inference(resolution,[],[f324,f9]) ).

fof(f9,axiom,
    ! [X0,X8] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X8))))
      | ~ 'E'(s(s('0')),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(suc(X8)))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'(s(s('0')),f(X8))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ iLEQ(suc(X0),suc(X8))
      | ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | ~ 'E'(f(X8),f(suc(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_74) ).

fof(f745,plain,
    ! [X6] :
      ( ~ 'E'(s('0'),f(X6))
      | 'LE'(f(X6),s('0'))
      | iLEQ(suc(X6),suc(X6)) ),
    inference(subsumption_resolution,[],[f744,f697]) ).

fof(f697,plain,
    ! [X1] :
      ( 'E'(s('0'),f(suc(X1)))
      | 'LE'(f(X1),s('0')) ),
    inference(resolution,[],[f681,f31]) ).

fof(f31,axiom,
    ! [X10] :
      ( ~ 'LE'(f(suc(X10)),s(s('0')))
      | 'LE'(f(X10),s('0'))
      | 'E'(s('0'),f(suc(X10))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).

fof(f744,plain,
    ! [X6] :
      ( ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(X6))
      | 'LE'(f(X6),s('0'))
      | iLEQ(suc(X6),suc(X6)) ),
    inference(subsumption_resolution,[],[f738,f44]) ).

fof(f44,axiom,
    ! [X3] :
      ( ~ 'E'(s('0'),f(suc(X3)))
      | iLEQ(suc(X3),suc(X3))
      | ~ 'E'(s('0'),f(X3))
      | 'E'(f(X3),f(suc(X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_204) ).

fof(f738,plain,
    ! [X6] :
      ( ~ 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(X6))
      | iLEQ(suc(X6),suc(X6))
      | 'LE'(f(X6),s('0')) ),
    inference(resolution,[],[f698,f4]) ).

fof(f4,axiom,
    ! [X3] :
      ( ~ 'E'(s('0'),f(suc(suc(X3))))
      | ~ 'E'(s('0'),f(X3))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s('0'),f(suc(X3)))
      | iLEQ(suc(X3),suc(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_61) ).

fof(f698,plain,
    ! [X2] :
      ( 'E'(s('0'),f(suc(suc(X2))))
      | 'LE'(f(X2),s('0')) ),
    inference(resolution,[],[f681,f34]) ).

fof(f34,axiom,
    ! [X10] :
      ( ~ 'LE'(f(suc(suc(X10))),s(s('0')))
      | 'LE'(f(X10),s('0'))
      | 'E'(s('0'),f(suc(suc(X10)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_116) ).

fof(f1328,plain,
    ! [X8,X9] :
      ( ~ iLEQ(suc(X9),suc(X8))
      | 'LE'(f(X8),s('0'))
      | 'LE'(f(X9),s('0')) ),
    inference(subsumption_resolution,[],[f1327,f697]) ).

fof(f1327,plain,
    ! [X8,X9] :
      ( ~ 'E'(s('0'),f(suc(X9)))
      | 'LE'(f(X9),s('0'))
      | 'LE'(f(X8),s('0'))
      | ~ iLEQ(suc(X9),suc(X8)) ),
    inference(subsumption_resolution,[],[f1326,f696]) ).

fof(f1326,plain,
    ! [X8,X9] :
      ( ~ 'E'(s('0'),f(X9))
      | 'LE'(f(X8),s('0'))
      | ~ 'E'(s('0'),f(suc(X9)))
      | 'LE'(f(X9),s('0'))
      | ~ iLEQ(suc(X9),suc(X8)) ),
    inference(subsumption_resolution,[],[f1318,f750]) ).

fof(f750,plain,
    ! [X4,X5] :
      ( ~ 'E'(s('0'),f(suc(X5)))
      | 'LE'(f(X4),s('0'))
      | 'E'(f(X5),f(suc(X5)))
      | ~ iLEQ(suc(X5),suc(X4))
      | ~ 'E'(s('0'),f(X5)) ),
    inference(subsumption_resolution,[],[f749,f697]) ).

fof(f749,plain,
    ! [X4,X5] :
      ( 'LE'(f(X4),s('0'))
      | ~ 'E'(s('0'),f(suc(X4)))
      | ~ 'E'(s('0'),f(X5))
      | 'E'(f(X5),f(suc(X5)))
      | ~ iLEQ(suc(X5),suc(X4))
      | ~ 'E'(s('0'),f(suc(X5))) ),
    inference(subsumption_resolution,[],[f748,f696]) ).

fof(f748,plain,
    ! [X4,X5] :
      ( ~ 'E'(s('0'),f(suc(X5)))
      | ~ 'E'(s('0'),f(X4))
      | ~ iLEQ(suc(X5),suc(X4))
      | 'LE'(f(X4),s('0'))
      | 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s('0'),f(X5))
      | ~ 'E'(s('0'),f(suc(X4))) ),
    inference(subsumption_resolution,[],[f737,f32]) ).

fof(f32,axiom,
    ! [X3,X9] :
      ( ~ 'E'(s('0'),f(suc(X9)))
      | 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s('0'),f(X9))
      | 'E'(f(X9),f(suc(X9)))
      | ~ 'E'(s('0'),f(suc(X3)))
      | ~ 'E'(s('0'),f(X3))
      | ~ iLEQ(suc(X3),suc(X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_87) ).

fof(f737,plain,
    ! [X4,X5] :
      ( 'LE'(f(X4),s('0'))
      | ~ 'E'(s('0'),f(X5))
      | ~ 'E'(s('0'),f(suc(X4)))
      | ~ 'E'(f(X4),f(suc(X4)))
      | 'E'(f(X5),f(suc(X5)))
      | ~ iLEQ(suc(X5),suc(X4))
      | ~ 'E'(s('0'),f(X4))
      | ~ 'E'(s('0'),f(suc(X5))) ),
    inference(resolution,[],[f698,f12]) ).

fof(f12,axiom,
    ! [X3,X9] :
      ( ~ 'E'(s('0'),f(suc(suc(X9))))
      | ~ 'E'(f(X9),f(suc(X9)))
      | ~ 'E'(s('0'),f(suc(X9)))
      | ~ 'E'(s('0'),f(X9))
      | ~ 'E'(s('0'),f(X3))
      | 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X3),suc(X9))
      | ~ 'E'(s('0'),f(suc(X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55) ).

fof(f1318,plain,
    ! [X8,X9] :
      ( ~ 'E'(f(X9),f(suc(X9)))
      | 'LE'(f(X9),s('0'))
      | 'LE'(f(X8),s('0'))
      | ~ 'E'(s('0'),f(X9))
      | ~ iLEQ(suc(X9),suc(X8))
      | ~ 'E'(s('0'),f(suc(X9))) ),
    inference(resolution,[],[f743,f698]) ).

fof(f743,plain,
    ! [X0,X1] :
      ( ~ 'E'(s('0'),f(suc(suc(X1))))
      | 'LE'(f(X0),s('0'))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ iLEQ(suc(X1),suc(X0)) ),
    inference(subsumption_resolution,[],[f742,f696]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(suc(X1))))
      | 'LE'(f(X0),s('0'))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(X1)) ),
    inference(subsumption_resolution,[],[f735,f697]) ).

fof(f735,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'(f(X1),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(X1))
      | 'LE'(f(X0),s('0'))
      | ~ 'E'(s('0'),f(suc(suc(X1))))
      | ~ 'E'(s('0'),f(X0)) ),
    inference(resolution,[],[f698,f50]) ).

fof(f50,plain,
    ! [X3,X9] :
      ( ~ 'E'(s('0'),f(suc(suc(X9))))
      | ~ 'E'(s('0'),f(suc(suc(X3))))
      | ~ 'E'(s('0'),f(X3))
      | ~ 'E'(s('0'),f(X9))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ iLEQ(suc(X3),suc(X9))
      | ~ 'E'(s('0'),f(suc(X3)))
      | ~ 'E'(s('0'),f(suc(X9))) ),
    inference(subsumption_resolution,[],[f21,f30]) ).

fof(f30,axiom,
    ! [X3,X9] :
      ( ~ 'E'(s('0'),f(suc(suc(X3))))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s('0'),f(X9))
      | ~ iLEQ(suc(X3),suc(X9))
      | ~ 'E'(s('0'),f(suc(X9)))
      | 'E'(f(X9),f(suc(X9)))
      | ~ 'E'(s('0'),f(suc(X3)))
      | ~ 'E'(s('0'),f(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_192) ).

fof(f21,axiom,
    ! [X3,X9] :
      ( ~ 'E'(s('0'),f(suc(suc(X3))))
      | ~ 'E'(s('0'),f(suc(X9)))
      | ~ 'E'(s('0'),f(X9))
      | ~ 'E'(s('0'),f(suc(suc(X9))))
      | ~ 'E'(s('0'),f(X3))
      | ~ 'E'(f(X9),f(suc(X9)))
      | ~ 'E'(s('0'),f(suc(X3)))
      | ~ iLEQ(suc(X3),suc(X9))
      | ~ 'E'(f(X3),f(suc(X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_175) ).

fof(f1548,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'('0',f(suc(X0)))
      | iLEQ(suc(X0),suc(X0)) ),
    inference(subsumption_resolution,[],[f1532,f1508]) ).

fof(f1508,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | 'E'('0',f(X0)) ),
    inference(resolution,[],[f1485,f47]) ).

fof(f47,axiom,
    ! [X14] :
      ( ~ 'LE'(f(X14),s('0'))
      | 'E'('0',f(X14))
      | 'LE'(f(X14),'0') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_173) ).

fof(f1532,plain,
    ! [X0] :
      ( ~ 'E'('0',f(X0))
      | iLEQ(suc(X0),suc(X0))
      | ~ 'E'('0',f(suc(X0)))
      | 'LE'(f(X0),'0') ),
    inference(resolution,[],[f1510,f55]) ).

fof(f55,plain,
    ! [X4] :
      ( ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X4)))
      | iLEQ(suc(X4),suc(X4)) ),
    inference(subsumption_resolution,[],[f36,f39]) ).

fof(f39,axiom,
    ! [X4] :
      ( 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | iLEQ(suc(X4),suc(X4))
      | ~ 'E'('0',f(suc(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).

fof(f36,axiom,
    ! [X4] :
      ( ~ 'E'('0',f(suc(X4)))
      | iLEQ(suc(X4),suc(X4))
      | ~ 'E'('0',f(X4))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44) ).

fof(f1510,plain,
    ! [X2] :
      ( 'E'('0',f(suc(suc(X2))))
      | 'LE'(f(X2),'0') ),
    inference(resolution,[],[f1485,f41]) ).

fof(f41,axiom,
    ! [X14] :
      ( ~ 'LE'(f(suc(suc(X14))),s('0'))
      | 'E'('0',f(suc(suc(X14))))
      | 'LE'(f(X14),'0') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).

fof(f2078,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X1),'0')
      | 'LE'(f(X0),'0') ),
    inference(subsumption_resolution,[],[f2077,f1509]) ).

fof(f2077,plain,
    ! [X0,X1] :
      ( ~ 'E'('0',f(suc(X0)))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0')
      | ~ iLEQ(suc(X0),suc(X1)) ),
    inference(subsumption_resolution,[],[f2072,f1508]) ).

fof(f2072,plain,
    ! [X0,X1] :
      ( ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X0),suc(X1))
      | 'LE'(f(X0),'0')
      | 'LE'(f(X1),'0') ),
    inference(resolution,[],[f1551,f1510]) ).

fof(f1551,plain,
    ! [X3,X4] :
      ( ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4))
      | 'LE'(f(X3),'0')
      | ~ iLEQ(suc(X4),suc(X3)) ),
    inference(subsumption_resolution,[],[f1550,f1509]) ).

fof(f1550,plain,
    ! [X3,X4] :
      ( ~ iLEQ(suc(X4),suc(X3))
      | ~ 'E'('0',f(suc(X3)))
      | 'LE'(f(X3),'0')
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(X4)) ),
    inference(subsumption_resolution,[],[f1534,f1508]) ).

fof(f1534,plain,
    ! [X3,X4] :
      ( ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X3))
      | ~ iLEQ(suc(X4),suc(X3))
      | 'LE'(f(X3),'0')
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X3))) ),
    inference(resolution,[],[f1510,f63]) ).

fof(f63,plain,
    ! [X4,X5] :
      ( ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X4))) ),
    inference(subsumption_resolution,[],[f62,f56]) ).

fof(f56,plain,
    ! [X4,X5] :
      ( ~ 'E'('0',f(suc(suc(X4))))
      | 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(X5))) ),
    inference(subsumption_resolution,[],[f26,f5]) ).

fof(f5,axiom,
    ! [X4,X5] :
      ( ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X5))
      | 'E'(f(X4),f(suc(X4)))
      | 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_169) ).

fof(f26,axiom,
    ! [X4,X5] :
      ( ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ iLEQ(suc(X4),suc(X5))
      | 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(X5))
      | ~ 'E'('0',f(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_194) ).

fof(f62,plain,
    ! [X4,X5] :
      ( ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'('0',f(X5))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(suc(X5)))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'('0',f(suc(suc(X4))))
      | ~ 'E'('0',f(X4)) ),
    inference(subsumption_resolution,[],[f33,f27]) ).

fof(f27,axiom,
    ! [X4,X5] :
      ( ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X5))
      | 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_181) ).

fof(f33,axiom,
    ! [X4,X5] :
      ( ~ 'E'('0',f(X4))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X4),suc(X5))
      | ~ 'E'('0',f(suc(X4)))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(suc(suc(X5))))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(f(X4),f(suc(X4)))
      | ~ 'E'('0',f(suc(suc(X4)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_105) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO685-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:35:36 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.58/0.58  % (4702)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.58/0.58  % (4702)Instruction limit reached!
% 1.58/0.58  % (4702)------------------------------
% 1.58/0.58  % (4702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (4702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58  % (4702)Termination reason: Unknown
% 1.58/0.58  % (4702)Termination phase: Blocked clause elimination
% 1.58/0.58  
% 1.58/0.58  % (4702)Memory used [KB]: 895
% 1.58/0.58  % (4702)Time elapsed: 0.003 s
% 1.58/0.58  % (4702)Instructions burned: 2 (million)
% 1.58/0.58  % (4702)------------------------------
% 1.58/0.58  % (4702)------------------------------
% 1.58/0.59  % (4711)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.59  % (4719)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.58/0.59  % (4700)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.60  % (4709)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.58/0.61  % (4698)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.61  % (4717)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.58/0.61  % (4696)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.58/0.62  % (4694)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.58/0.63  % (4723)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.63  % (4721)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.58/0.63  % (4714)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.63  % (4713)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.63  % (4722)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.58/0.63  % (4718)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.58/0.63  % (4716)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.58/0.64  % (4697)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.64  % (4707)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.58/0.64  % (4708)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.64  % (4710)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.58/0.64  % (4703)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.65  % (4715)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.58/0.65  % (4699)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.58/0.65  % (4704)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.58/0.65  % (4701)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.19/0.65  % (4706)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.19/0.65  % (4701)Instruction limit reached!
% 2.19/0.65  % (4701)------------------------------
% 2.19/0.65  % (4701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65  % (4724)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.19/0.65  % (4695)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.19/0.65  % (4720)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.19/0.65  % (4712)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.19/0.67  % (4695)Refutation not found, incomplete strategy% (4695)------------------------------
% 2.19/0.67  % (4695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.67  % (4701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.67  % (4701)Termination reason: Unknown
% 2.19/0.67  % (4701)Termination phase: Saturation
% 2.19/0.67  
% 2.19/0.67  % (4701)Memory used [KB]: 5500
% 2.19/0.67  % (4701)Time elapsed: 0.219 s
% 2.19/0.67  % (4701)Instructions burned: 7 (million)
% 2.19/0.67  % (4701)------------------------------
% 2.19/0.67  % (4701)------------------------------
% 2.44/0.68  % (4695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68  % (4695)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.68  
% 2.44/0.68  % (4695)Memory used [KB]: 5500
% 2.44/0.68  % (4695)Time elapsed: 0.191 s
% 2.44/0.68  % (4695)Instructions burned: 5 (million)
% 2.44/0.68  % (4695)------------------------------
% 2.44/0.68  % (4695)------------------------------
% 2.44/0.68  % (4700)Instruction limit reached!
% 2.44/0.68  % (4700)------------------------------
% 2.44/0.68  % (4700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.68  % (4700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68  % (4700)Termination reason: Unknown
% 2.44/0.68  % (4700)Termination phase: Finite model building preprocessing
% 2.44/0.68  
% 2.44/0.68  % (4700)Memory used [KB]: 6908
% 2.44/0.68  % (4700)Time elapsed: 0.038 s
% 2.44/0.68  % (4700)Instructions burned: 52 (million)
% 2.44/0.68  % (4700)------------------------------
% 2.44/0.68  % (4700)------------------------------
% 2.44/0.70  % (4696)Instruction limit reached!
% 2.44/0.70  % (4696)------------------------------
% 2.44/0.70  % (4696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.70  % (4696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.70  % (4696)Termination reason: Unknown
% 2.44/0.70  % (4696)Termination phase: Saturation
% 2.44/0.70  
% 2.44/0.70  % (4696)Memory used [KB]: 1151
% 2.44/0.70  % (4696)Time elapsed: 0.248 s
% 2.44/0.70  % (4696)Instructions burned: 37 (million)
% 2.44/0.70  % (4696)------------------------------
% 2.44/0.70  % (4696)------------------------------
% 2.44/0.70  TRYING [1]
% 2.77/0.73  TRYING [2]
% 2.77/0.73  % (4704)Instruction limit reached!
% 2.77/0.73  % (4704)------------------------------
% 2.77/0.73  % (4704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73  % (4709)Instruction limit reached!
% 2.77/0.73  % (4709)------------------------------
% 2.77/0.73  % (4709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.73  % (4709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.73  % (4709)Termination reason: Unknown
% 2.77/0.73  % (4709)Termination phase: Saturation
% 2.77/0.73  
% 2.77/0.73  % (4709)Memory used [KB]: 6012
% 2.77/0.73  % (4709)Time elapsed: 0.046 s
% 2.77/0.73  % (4709)Instructions burned: 69 (million)
% 2.77/0.73  % (4709)------------------------------
% 2.77/0.73  % (4709)------------------------------
% 2.77/0.74  TRYING [1]
% 2.77/0.74  % (4704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.74  % (4704)Termination reason: Unknown
% 2.77/0.74  % (4704)Termination phase: Saturation
% 2.77/0.74  
% 2.77/0.74  % (4704)Memory used [KB]: 5628
% 2.77/0.74  % (4704)Time elapsed: 0.301 s
% 2.77/0.74  % (4704)Instructions burned: 50 (million)
% 2.77/0.74  % (4704)------------------------------
% 2.77/0.74  % (4704)------------------------------
% 2.77/0.74  TRYING [2]
% 2.77/0.74  % (4698)Instruction limit reached!
% 2.77/0.74  % (4698)------------------------------
% 2.77/0.74  % (4698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.74  % (4698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.74  % (4698)Termination reason: Unknown
% 2.77/0.74  % (4698)Termination phase: Saturation
% 2.77/0.74  
% 2.77/0.74  % (4698)Memory used [KB]: 5756
% 2.77/0.74  % (4698)Time elapsed: 0.293 s
% 2.77/0.74  % (4698)Instructions burned: 52 (million)
% 2.77/0.74  % (4698)------------------------------
% 2.77/0.74  % (4698)------------------------------
% 2.77/0.75  % (4699)Instruction limit reached!
% 2.77/0.75  % (4699)------------------------------
% 2.77/0.75  % (4699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.75  % (4699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.75  % (4699)Termination reason: Unknown
% 2.77/0.75  % (4699)Termination phase: Saturation
% 2.77/0.75  
% 2.77/0.75  % (4699)Memory used [KB]: 5628
% 2.77/0.75  % (4699)Time elapsed: 0.292 s
% 2.77/0.75  % (4699)Instructions burned: 49 (million)
% 2.77/0.75  % (4699)------------------------------
% 2.77/0.75  % (4699)------------------------------
% 2.99/0.75  % (4697)Instruction limit reached!
% 2.99/0.75  % (4697)------------------------------
% 2.99/0.75  % (4697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.75  % (4697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.75  % (4697)Termination reason: Unknown
% 2.99/0.75  % (4697)Termination phase: Saturation
% 2.99/0.75  
% 2.99/0.75  % (4697)Memory used [KB]: 5628
% 2.99/0.75  % (4697)Time elapsed: 0.315 s
% 2.99/0.75  % (4697)Instructions burned: 52 (million)
% 2.99/0.75  % (4697)------------------------------
% 2.99/0.75  % (4697)------------------------------
% 2.99/0.75  % (4703)Instruction limit reached!
% 2.99/0.75  % (4703)------------------------------
% 2.99/0.75  % (4703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.75  % (4703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.75  % (4703)Termination reason: Unknown
% 2.99/0.75  % (4703)Termination phase: Saturation
% 2.99/0.75  
% 2.99/0.75  % (4703)Memory used [KB]: 1151
% 2.99/0.75  % (4703)Time elapsed: 0.232 s
% 2.99/0.75  % (4703)Instructions burned: 51 (million)
% 2.99/0.75  % (4703)------------------------------
% 2.99/0.75  % (4703)------------------------------
% 2.99/0.76  % (4721)Instruction limit reached!
% 2.99/0.76  % (4721)------------------------------
% 2.99/0.76  % (4721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.76  % (4721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.76  % (4721)Termination reason: Unknown
% 2.99/0.76  % (4721)Termination phase: Saturation
% 2.99/0.76  
% 2.99/0.76  % (4721)Memory used [KB]: 6012
% 2.99/0.76  % (4721)Time elapsed: 0.049 s
% 2.99/0.76  % (4721)Instructions burned: 69 (million)
% 2.99/0.76  % (4721)------------------------------
% 2.99/0.76  % (4721)------------------------------
% 2.99/0.76  % (4712)Instruction limit reached!
% 2.99/0.76  % (4712)------------------------------
% 2.99/0.76  % (4712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.76  % (4712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.76  % (4712)Termination reason: Unknown
% 2.99/0.76  % (4712)Termination phase: Finite model building SAT solving
% 2.99/0.76  
% 2.99/0.76  % (4712)Memory used [KB]: 7036
% 2.99/0.76  % (4712)Time elapsed: 0.263 s
% 2.99/0.76  % (4712)Instructions burned: 59 (million)
% 2.99/0.76  % (4712)------------------------------
% 2.99/0.76  % (4712)------------------------------
% 2.99/0.77  % (4711)Instruction limit reached!
% 2.99/0.77  % (4711)------------------------------
% 2.99/0.77  % (4711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.77  % (4711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.77  % (4711)Termination reason: Unknown
% 2.99/0.77  % (4711)Termination phase: Saturation
% 2.99/0.77  
% 2.99/0.77  % (4711)Memory used [KB]: 5884
% 2.99/0.77  % (4711)Time elapsed: 0.327 s
% 2.99/0.77  % (4711)Instructions burned: 100 (million)
% 2.99/0.77  % (4711)------------------------------
% 2.99/0.77  % (4711)------------------------------
% 2.99/0.77  % (4719)First to succeed.
% 2.99/0.78  % (4719)Refutation found. Thanks to Tanya!
% 2.99/0.78  % SZS status Unsatisfiable for theBenchmark
% 2.99/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 2.99/0.78  % (4719)------------------------------
% 2.99/0.78  % (4719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.78  % (4719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.78  % (4719)Termination reason: Refutation
% 2.99/0.78  
% 2.99/0.78  % (4719)Memory used [KB]: 5884
% 2.99/0.78  % (4719)Time elapsed: 0.309 s
% 2.99/0.78  % (4719)Instructions burned: 97 (million)
% 2.99/0.78  % (4719)------------------------------
% 2.99/0.78  % (4719)------------------------------
% 2.99/0.78  % (4693)Success in time 0.412 s
%------------------------------------------------------------------------------