TSTP Solution File: SYO675-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO675-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 May  1 04:50:19 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   75 (   7 unt;   0 def)
%            Number of atoms       :  231 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  293 ( 137   ~; 156   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   73 (  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f157,plain,
    $false,
    inference(subsumption_resolution,[],[f18,f156]) ).

fof(f156,plain,
    ! [X0] : 'LE'(f(X0),'0'),
    inference(subsumption_resolution,[],[f155,f143]) ).

fof(f143,plain,
    ! [X2] :
      ( 'LE'(f(X2),'0')
      | 'E'('0',f(X2)) ),
    inference(subsumption_resolution,[],[f23,f139]) ).

fof(f139,plain,
    ! [X0] : 'LE'(f(X0),s('0')),
    inference(subsumption_resolution,[],[f138,f114]) ).

fof(f114,plain,
    ! [X1] :
      ( 'E'(s('0'),f(suc(suc(X1))))
      | 'LE'(f(X1),s('0')) ),
    inference(subsumption_resolution,[],[f2,f108]) ).

fof(f108,plain,
    ! [X0] : 'LE'(f(X0),s(s('0'))),
    inference(subsumption_resolution,[],[f107,f78]) ).

fof(f78,plain,
    ! [X4] :
      ( 'E'(s(s('0')),f(suc(X4)))
      | 'LE'(f(X4),s(s('0'))) ),
    inference(subsumption_resolution,[],[f12,f73]) ).

fof(f73,plain,
    ! [X0] : 'LE'(f(X0),s(s(s('0')))),
    inference(subsumption_resolution,[],[f72,f36]) ).

fof(f36,plain,
    ! [X7] :
      ( 'E'(s(s(s('0'))),f(suc(X7)))
      | 'LE'(f(X7),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f25,f30]) ).

fof(f30,axiom,
    ! [X8] : 'LE'(f(X8),s(s(s(s('0'))))),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_30) ).

fof(f25,axiom,
    ! [X7] :
      ( 'LE'(f(X7),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(suc(X7)))
      | ~ 'LE'(f(suc(X7)),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_32) ).

fof(f72,plain,
    ! [X0] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X0)))
      | 'LE'(f(X0),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f71,f31]) ).

fof(f31,plain,
    ! [X7] :
      ( 'LE'(f(X7),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(X7)) ),
    inference(subsumption_resolution,[],[f20,f30]) ).

fof(f20,axiom,
    ! [X7] :
      ( 'LE'(f(X7),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(X7))
      | ~ 'LE'(f(X7),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_36) ).

fof(f71,plain,
    ! [X0] :
      ( ~ 'E'(s(s(s('0'))),f(X0))
      | ~ 'E'(s(s(s('0'))),f(suc(X0)))
      | 'LE'(f(X0),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f67,f40]) ).

fof(f40,plain,
    ! [X7] :
      ( 'E'(s(s(s('0'))),f(suc(suc(X7))))
      | 'LE'(f(X7),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f19,f30]) ).

fof(f19,axiom,
    ! [X7] :
      ( 'LE'(f(X7),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(suc(suc(X7))))
      | ~ 'LE'(f(suc(suc(X7))),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_1) ).

fof(f67,plain,
    ! [X0] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X0))))
      | ~ 'E'(s(s(s('0'))),f(X0))
      | ~ 'E'(s(s(s('0'))),f(suc(X0)))
      | 'LE'(f(X0),s(s(s('0')))) ),
    inference(resolution,[],[f66,f44]) ).

fof(f44,plain,
    ! [X7] :
      ( 'E'(s(s(s('0'))),f(suc(suc(suc(X7)))))
      | 'LE'(f(X7),s(s(s('0')))) ),
    inference(subsumption_resolution,[],[f28,f30]) ).

fof(f28,axiom,
    ! [X7] :
      ( 'LE'(f(X7),s(s(s('0'))))
      | 'E'(s(s(s('0'))),f(suc(suc(suc(X7)))))
      | ~ 'LE'(f(suc(suc(suc(X7)))),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_6) ).

fof(f66,plain,
    ! [X3] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(X3)))))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X3))))
      | ~ 'E'(s(s(s('0'))),f(X3))
      | ~ 'E'(s(s(s('0'))),f(suc(X3))) ),
    inference(subsumption_resolution,[],[f65,f14]) ).

fof(f14,axiom,
    ! [X3] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
      | 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s(s('0'))),f(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_2) ).

fof(f65,plain,
    ! [X3] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X3))))
      | ~ 'E'(s(s(s('0'))),f(X3))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(suc(X3))))) ),
    inference(subsumption_resolution,[],[f24,f51]) ).

fof(f51,plain,
    ! [X3] :
      ( ~ 'E'(s(s(s('0'))),f(suc(suc(X3))))
      | ~ 'E'(s(s(s('0'))),f(X3))
      | ~ 'E'(s(s(s('0'))),f(suc(X3)))
      | 'E'(f(X3),f(suc(suc(X3)))) ),
    inference(subsumption_resolution,[],[f4,f14]) ).

fof(f4,axiom,
    ! [X3] :
      ( 'E'(f(X3),f(suc(suc(X3))))
      | ~ 'E'(s(s(s('0'))),f(X3))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(s(s(s('0'))),f(suc(X3)))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X3)))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_31) ).

fof(f24,axiom,
    ! [X3] :
      ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
      | ~ 'E'(f(X3),f(suc(X3)))
      | ~ 'E'(f(X3),f(suc(suc(X3))))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(X3))))
      | ~ 'E'(s(s(s('0'))),f(X3))
      | ~ 'E'(s(s(s('0'))),f(suc(suc(suc(X3))))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_8) ).

fof(f12,axiom,
    ! [X4] :
      ( ~ 'LE'(f(suc(X4)),s(s(s('0'))))
      | 'E'(s(s('0')),f(suc(X4)))
      | 'LE'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_19) ).

fof(f107,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(s(s('0')),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f106,f79]) ).

fof(f79,plain,
    ! [X4] :
      ( 'E'(s(s('0')),f(suc(suc(X4))))
      | 'LE'(f(X4),s(s('0'))) ),
    inference(subsumption_resolution,[],[f11,f73]) ).

fof(f11,axiom,
    ! [X4] :
      ( ~ 'LE'(f(suc(suc(X4))),s(s(s('0'))))
      | 'E'(s(s('0')),f(suc(suc(X4))))
      | 'LE'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_18) ).

fof(f106,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | ~ 'E'(s(s('0')),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f103,f77]) ).

fof(f77,plain,
    ! [X4] :
      ( 'LE'(f(X4),s(s('0')))
      | 'E'(s(s('0')),f(X4)) ),
    inference(subsumption_resolution,[],[f8,f73]) ).

fof(f8,axiom,
    ! [X4] :
      ( ~ 'LE'(f(X4),s(s(s('0'))))
      | 'E'(s(s('0')),f(X4))
      | 'LE'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_29) ).

fof(f103,plain,
    ! [X0] :
      ( 'LE'(f(X0),s(s('0')))
      | ~ 'E'(s(s('0')),f(X0))
      | ~ 'E'(s(s('0')),f(suc(suc(X0))))
      | ~ 'E'(s(s('0')),f(suc(X0))) ),
    inference(resolution,[],[f80,f64]) ).

fof(f64,plain,
    ! [X5] :
      ( ~ 'E'(s(s('0')),f(suc(suc(suc(X5)))))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ 'E'(s(s('0')),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(suc(X5))) ),
    inference(subsumption_resolution,[],[f63,f48]) ).

fof(f48,plain,
    ! [X5] :
      ( ~ 'E'(s(s('0')),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | 'E'(f(X5),f(suc(suc(X5)))) ),
    inference(subsumption_resolution,[],[f13,f7]) ).

fof(f7,axiom,
    ! [X5] :
      ( ~ 'E'(s(s('0')),f(suc(X5)))
      | 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_26) ).

fof(f13,axiom,
    ! [X5] :
      ( 'E'(f(X5),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(X5)))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_24) ).

fof(f63,plain,
    ! [X5] :
      ( ~ 'E'(s(s('0')),f(suc(suc(suc(X5)))))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ 'E'(s(s('0')),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(f(X5),f(suc(suc(X5)))) ),
    inference(subsumption_resolution,[],[f17,f7]) ).

fof(f17,axiom,
    ! [X5] :
      ( ~ 'E'(f(X5),f(suc(X5)))
      | ~ 'E'(s(s('0')),f(suc(suc(suc(X5)))))
      | ~ 'E'(s(s('0')),f(X5))
      | ~ 'E'(s(s('0')),f(suc(suc(X5))))
      | ~ 'E'(s(s('0')),f(suc(X5)))
      | ~ 'E'(f(X5),f(suc(suc(X5)))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_17) ).

fof(f80,plain,
    ! [X4] :
      ( 'E'(s(s('0')),f(suc(suc(suc(X4)))))
      | 'LE'(f(X4),s(s('0'))) ),
    inference(subsumption_resolution,[],[f5,f73]) ).

fof(f5,axiom,
    ! [X4] :
      ( ~ 'LE'(f(suc(suc(suc(X4)))),s(s(s('0'))))
      | 'E'(s(s('0')),f(suc(suc(suc(X4)))))
      | 'LE'(f(X4),s(s('0'))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_10) ).

fof(f2,axiom,
    ! [X1] :
      ( ~ 'LE'(f(suc(suc(X1))),s(s('0')))
      | 'E'(s('0'),f(suc(suc(X1))))
      | 'LE'(f(X1),s('0')) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_27) ).

fof(f138,plain,
    ! [X0] :
      ( 'LE'(f(X0),s('0'))
      | ~ 'E'(s('0'),f(suc(suc(X0)))) ),
    inference(subsumption_resolution,[],[f137,f113]) ).

fof(f113,plain,
    ! [X1] :
      ( 'E'(s('0'),f(suc(X1)))
      | 'LE'(f(X1),s('0')) ),
    inference(subsumption_resolution,[],[f10,f108]) ).

fof(f10,axiom,
    ! [X1] :
      ( ~ 'LE'(f(suc(X1)),s(s('0')))
      | 'E'(s('0'),f(suc(X1)))
      | 'LE'(f(X1),s('0')) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_25) ).

fof(f137,plain,
    ! [X0] :
      ( 'LE'(f(X0),s('0'))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(suc(X0)))) ),
    inference(subsumption_resolution,[],[f134,f112]) ).

fof(f112,plain,
    ! [X1] :
      ( 'LE'(f(X1),s('0'))
      | 'E'(s('0'),f(X1)) ),
    inference(subsumption_resolution,[],[f26,f108]) ).

fof(f26,axiom,
    ! [X1] :
      ( ~ 'LE'(f(X1),s(s('0')))
      | 'E'(s('0'),f(X1))
      | 'LE'(f(X1),s('0')) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_16) ).

fof(f134,plain,
    ! [X0] :
      ( 'LE'(f(X0),s('0'))
      | ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(suc(X0)))) ),
    inference(resolution,[],[f115,f62]) ).

fof(f62,plain,
    ! [X6] :
      ( ~ 'E'(s('0'),f(suc(suc(suc(X6)))))
      | ~ 'E'(s('0'),f(X6))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(suc(X6)))) ),
    inference(subsumption_resolution,[],[f61,f16]) ).

fof(f16,axiom,
    ! [X6] :
      ( ~ 'E'(s('0'),f(suc(X6)))
      | 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s('0'),f(X6)) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_13) ).

fof(f61,plain,
    ! [X6] :
      ( ~ 'E'(s('0'),f(suc(suc(X6))))
      | ~ 'E'(s('0'),f(X6))
      | ~ 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(suc(suc(X6))))) ),
    inference(subsumption_resolution,[],[f22,f47]) ).

fof(f47,plain,
    ! [X6] :
      ( ~ 'E'(s('0'),f(suc(suc(X6))))
      | ~ 'E'(s('0'),f(X6))
      | ~ 'E'(s('0'),f(suc(X6)))
      | 'E'(f(X6),f(suc(suc(X6)))) ),
    inference(subsumption_resolution,[],[f29,f16]) ).

fof(f29,axiom,
    ! [X6] :
      ( 'E'(f(X6),f(suc(suc(X6))))
      | ~ 'E'(s('0'),f(X6))
      | ~ 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(suc(X6)))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_34) ).

fof(f22,axiom,
    ! [X6] :
      ( ~ 'E'(s('0'),f(suc(suc(X6))))
      | ~ 'E'(s('0'),f(X6))
      | ~ 'E'(f(X6),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(suc(suc(X6)))))
      | ~ 'E'(f(X6),f(suc(suc(X6)))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_5) ).

fof(f115,plain,
    ! [X1] :
      ( 'E'(s('0'),f(suc(suc(suc(X1)))))
      | 'LE'(f(X1),s('0')) ),
    inference(subsumption_resolution,[],[f21,f108]) ).

fof(f21,axiom,
    ! [X1] :
      ( ~ 'LE'(f(suc(suc(suc(X1)))),s(s('0')))
      | 'E'(s('0'),f(suc(suc(suc(X1)))))
      | 'LE'(f(X1),s('0')) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_15) ).

fof(f23,axiom,
    ! [X2] :
      ( ~ 'LE'(f(X2),s('0'))
      | 'E'('0',f(X2))
      | 'LE'(f(X2),'0') ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_4) ).

fof(f155,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'('0',f(X0)) ),
    inference(subsumption_resolution,[],[f154,f145]) ).

fof(f145,plain,
    ! [X2] :
      ( 'E'('0',f(suc(suc(X2))))
      | 'LE'(f(X2),'0') ),
    inference(subsumption_resolution,[],[f15,f139]) ).

fof(f15,axiom,
    ! [X2] :
      ( ~ 'LE'(f(suc(suc(X2))),s('0'))
      | 'E'('0',f(suc(suc(X2))))
      | 'LE'(f(X2),'0') ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_37) ).

fof(f154,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X0)) ),
    inference(subsumption_resolution,[],[f153,f144]) ).

fof(f144,plain,
    ! [X2] :
      ( 'E'('0',f(suc(X2)))
      | 'LE'(f(X2),'0') ),
    inference(subsumption_resolution,[],[f6,f139]) ).

fof(f6,axiom,
    ! [X2] :
      ( ~ 'LE'(f(suc(X2)),s('0'))
      | 'E'('0',f(suc(X2)))
      | 'LE'(f(X2),'0') ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_23) ).

fof(f153,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X0)) ),
    inference(resolution,[],[f146,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ 'E'('0',f(suc(suc(suc(X0)))))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(X0)) ),
    inference(subsumption_resolution,[],[f49,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_14) ).

fof(f49,plain,
    ! [X0] :
      ( ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(suc(suc(X0)))))
      | ~ 'E'(f(X0),f(suc(X0))) ),
    inference(subsumption_resolution,[],[f1,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( 'E'(f(X0),f(suc(suc(X0))))
      | ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0)))) ),
    inference(subsumption_resolution,[],[f27,f9]) ).

fof(f27,axiom,
    ! [X0] :
      ( 'E'(f(X0),f(suc(suc(X0))))
      | ~ 'E'('0',f(X0))
      | ~ 'E'(f(X0),f(suc(X0)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0)))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_7) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ 'E'('0',f(X0))
      | ~ 'E'(f(X0),f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(suc(X0))))
      | ~ 'E'('0',f(suc(suc(suc(X0)))))
      | ~ 'E'(f(X0),f(suc(X0))) ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_11) ).

fof(f146,plain,
    ! [X2] :
      ( 'E'('0',f(suc(suc(suc(X2)))))
      | 'LE'(f(X2),'0') ),
    inference(subsumption_resolution,[],[f3,f139]) ).

fof(f3,axiom,
    ! [X2] :
      ( ~ 'LE'(f(suc(suc(suc(X2)))),s('0'))
      | 'E'('0',f(suc(suc(suc(X2)))))
      | 'LE'(f(X2),'0') ),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_20) ).

fof(f18,axiom,
    ~ 'LE'(f(z),'0'),
    file('/export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057',clause_21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO675-1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 17:10:42 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.iajFafF3Iy/Vampire---4.8_18057
% 0.56/0.73  % (18450)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.73  % (18450)Refutation not found, incomplete strategy% (18450)------------------------------
% 0.56/0.73  % (18450)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18450)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18450)Memory used [KB]: 952
% 0.56/0.73  % (18450)Time elapsed: 0.001 s
% 0.56/0.73  % (18450)Instructions burned: 2 (million)
% 0.56/0.73  % (18450)------------------------------
% 0.56/0.73  % (18450)------------------------------
% 0.56/0.73  % (18443)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.73  % (18445)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (18446)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.73  % (18444)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.73  % (18447)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.73  % (18448)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.73  % (18449)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.73  % (18445)Refutation not found, incomplete strategy% (18445)------------------------------
% 0.56/0.73  % (18445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18445)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18445)Memory used [KB]: 952
% 0.56/0.73  % (18443)Refutation not found, incomplete strategy% (18443)------------------------------
% 0.56/0.73  % (18443)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18443)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18443)Memory used [KB]: 952
% 0.56/0.73  % (18443)Time elapsed: 0.002 s
% 0.56/0.73  % (18443)Instructions burned: 2 (million)
% 0.56/0.73  % (18443)------------------------------
% 0.56/0.73  % (18443)------------------------------
% 0.56/0.73  % (18445)Time elapsed: 0.002 s
% 0.56/0.73  % (18445)Instructions burned: 2 (million)
% 0.56/0.73  % (18445)------------------------------
% 0.56/0.73  % (18445)------------------------------
% 0.56/0.73  % (18446)Refutation not found, incomplete strategy% (18446)------------------------------
% 0.56/0.73  % (18446)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18448)Refutation not found, incomplete strategy% (18448)------------------------------
% 0.56/0.73  % (18448)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18448)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18448)Memory used [KB]: 952
% 0.56/0.73  % (18448)Time elapsed: 0.002 s
% 0.56/0.73  % (18448)Instructions burned: 2 (million)
% 0.56/0.73  % (18448)------------------------------
% 0.56/0.73  % (18448)------------------------------
% 0.56/0.73  % (18446)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18446)Memory used [KB]: 952
% 0.56/0.73  % (18446)Time elapsed: 0.002 s
% 0.56/0.73  % (18446)Instructions burned: 2 (million)
% 0.56/0.73  % (18446)------------------------------
% 0.56/0.73  % (18446)------------------------------
% 0.56/0.73  % (18449)Refutation not found, incomplete strategy% (18449)------------------------------
% 0.56/0.73  % (18449)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18449)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18449)Memory used [KB]: 952
% 0.56/0.73  % (18449)Time elapsed: 0.002 s
% 0.56/0.73  % (18449)Instructions burned: 2 (million)
% 0.56/0.73  % (18449)------------------------------
% 0.56/0.73  % (18449)------------------------------
% 0.56/0.73  % (18447)Refutation not found, incomplete strategy% (18447)------------------------------
% 0.56/0.73  % (18447)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18447)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18447)Memory used [KB]: 954
% 0.56/0.73  % (18447)Time elapsed: 0.003 s
% 0.56/0.73  % (18447)Instructions burned: 3 (million)
% 0.56/0.73  % (18447)------------------------------
% 0.56/0.73  % (18447)------------------------------
% 0.56/0.73  % (18451)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.73  % (18451)Refutation not found, incomplete strategy% (18451)------------------------------
% 0.56/0.73  % (18451)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73  % (18451)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (18451)Memory used [KB]: 972
% 0.56/0.73  % (18451)Time elapsed: 0.002 s
% 0.56/0.73  % (18451)Instructions burned: 4 (million)
% 0.56/0.73  % (18451)------------------------------
% 0.56/0.73  % (18451)------------------------------
% 0.56/0.73  % (18454)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.73  % (18453)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.73  % (18455)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.73  % (18456)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.74  % (18457)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.74  % (18454)Refutation not found, incomplete strategy% (18454)------------------------------
% 0.56/0.74  % (18454)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18454)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18454)Memory used [KB]: 952
% 0.56/0.74  % (18454)Time elapsed: 0.003 s
% 0.56/0.74  % (18454)Instructions burned: 2 (million)
% 0.56/0.74  % (18454)------------------------------
% 0.56/0.74  % (18454)------------------------------
% 0.56/0.74  % (18456)Refutation not found, incomplete strategy% (18456)------------------------------
% 0.56/0.74  % (18456)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18456)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  % (18455)Refutation not found, incomplete strategy% (18455)------------------------------
% 0.56/0.74  % (18455)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  
% 0.56/0.74  % (18456)Memory used [KB]: 952
% 0.56/0.74  % (18456)Time elapsed: 0.003 s
% 0.56/0.74  % (18456)Instructions burned: 2 (million)
% 0.56/0.74  % (18456)------------------------------
% 0.56/0.74  % (18456)------------------------------
% 0.56/0.74  % (18455)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18455)Memory used [KB]: 953
% 0.56/0.74  % (18455)Time elapsed: 0.002 s
% 0.56/0.74  % (18455)Instructions burned: 2 (million)
% 0.56/0.74  % (18455)------------------------------
% 0.56/0.74  % (18455)------------------------------
% 0.56/0.74  % (18460)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.56/0.74  % (18458)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.74  % (18453)Refutation not found, incomplete strategy% (18453)------------------------------
% 0.56/0.74  % (18453)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18453)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18453)Memory used [KB]: 957
% 0.56/0.74  % (18457)Refutation not found, incomplete strategy% (18457)------------------------------
% 0.56/0.74  % (18457)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18457)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18457)Memory used [KB]: 959
% 0.56/0.74  % (18457)Time elapsed: 0.002 s
% 0.56/0.74  % (18457)Instructions burned: 2 (million)
% 0.56/0.74  % (18457)------------------------------
% 0.56/0.74  % (18457)------------------------------
% 0.56/0.74  % (18453)Time elapsed: 0.003 s
% 0.56/0.74  % (18453)Instructions burned: 4 (million)
% 0.56/0.74  % (18453)------------------------------
% 0.56/0.74  % (18453)------------------------------
% 0.56/0.74  % (18458)Refutation not found, incomplete strategy% (18458)------------------------------
% 0.56/0.74  % (18458)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18458)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18458)Memory used [KB]: 953
% 0.56/0.74  % (18458)Time elapsed: 0.002 s
% 0.56/0.74  % (18458)Instructions burned: 2 (million)
% 0.56/0.74  % (18458)------------------------------
% 0.56/0.74  % (18458)------------------------------
% 0.56/0.74  % (18462)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.56/0.74  % (18463)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.56/0.74  % (18464)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.56/0.74  % (18466)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.56/0.74  % (18467)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.74  % (18464)Refutation not found, incomplete strategy% (18464)------------------------------
% 0.56/0.74  % (18464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18464)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18464)Memory used [KB]: 953
% 0.56/0.74  % (18464)Time elapsed: 0.003 s
% 0.56/0.74  % (18464)Instructions burned: 2 (million)
% 0.56/0.74  % (18464)------------------------------
% 0.56/0.74  % (18464)------------------------------
% 0.56/0.74  % (18466)Refutation not found, incomplete strategy% (18466)------------------------------
% 0.56/0.74  % (18466)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18466)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18466)Memory used [KB]: 952
% 0.56/0.74  % (18466)Time elapsed: 0.003 s
% 0.56/0.74  % (18466)Instructions burned: 2 (million)
% 0.56/0.74  % (18466)------------------------------
% 0.56/0.74  % (18466)------------------------------
% 0.56/0.74  % (18465)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.56/0.74  % (18467)Refutation not found, incomplete strategy% (18467)------------------------------
% 0.56/0.74  % (18467)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (18467)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (18467)Memory used [KB]: 957
% 0.56/0.74  % (18467)Time elapsed: 0.003 s
% 0.56/0.74  % (18467)Instructions burned: 4 (million)
% 0.56/0.74  % (18467)------------------------------
% 0.56/0.74  % (18467)------------------------------
% 0.56/0.74  % (18462)First to succeed.
% 0.56/0.75  % (18471)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.56/0.75  % (18472)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.56/0.75  % (18471)Refutation not found, incomplete strategy% (18471)------------------------------
% 0.56/0.75  % (18471)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (18471)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (18471)Memory used [KB]: 952
% 0.56/0.75  % (18471)Time elapsed: 0.003 s
% 0.56/0.75  % (18462)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (18462)------------------------------
% 0.56/0.75  % (18462)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (18462)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (18462)Memory used [KB]: 1006
% 0.56/0.75  % (18462)Time elapsed: 0.008 s
% 0.56/0.75  % (18462)Instructions burned: 12 (million)
% 0.56/0.75  % (18462)------------------------------
% 0.56/0.75  % (18462)------------------------------
% 0.56/0.75  % (18310)Success in time 0.388 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------