TSTP Solution File: SYO664-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n007.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 : Sat Sep  2 21:03:27 EDT 2023

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   64 (   7 unt;   0 def)
%            Number of atoms       :  339 (   0 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :  538 ( 263   ~; 275   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 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   :   75 (;  75   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(subsumption_resolution,[],[f107,f81]) ).

fof(f81,plain,
    iLEQ(suc(z),suc(z)),
    inference(subsumption_resolution,[],[f80,f64]) ).

fof(f64,plain,
    'E'('0',f(z)),
    inference(subsumption_resolution,[],[f63,f21]) ).

fof(f21,plain,
    ( 'E'(s('0'),f(suc(z)))
    | 'E'('0',f(z)) ),
    inference(resolution,[],[f19,f2]) ).

fof(f2,axiom,
    ~ 'LE'(f(z),'0'),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_70) ).

fof(f19,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | 'E'(s('0'),f(suc(X0)))
      | 'E'('0',f(X0)) ),
    inference(resolution,[],[f18,f8]) ).

fof(f8,axiom,
    ! [X12] :
      ( ~ 'LE'(f(X12),s('0'))
      | 'LE'(f(X12),'0')
      | 'E'('0',f(X12)) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_94) ).

fof(f18,plain,
    ! [X5] :
      ( 'LE'(f(X5),s('0'))
      | 'E'(s('0'),f(suc(X5))) ),
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f5,axiom,
    ! [X11] : 'LE'(f(X11),s(s('0'))),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_58) ).

fof(f10,axiom,
    ! [X5] :
      ( 'LE'(f(X5),s('0'))
      | 'E'(s('0'),f(suc(X5)))
      | ~ 'LE'(f(suc(X5)),s(s('0'))) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_83) ).

fof(f63,plain,
    ( ~ 'E'(s('0'),f(suc(z)))
    | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f62,f14]) ).

fof(f14,plain,
    ( 'E'(s('0'),f(z))
    | 'E'('0',f(z)) ),
    inference(resolution,[],[f12,f2]) ).

fof(f12,plain,
    ! [X0] :
      ( 'LE'(f(X0),'0')
      | 'E'(s('0'),f(X0))
      | 'E'('0',f(X0)) ),
    inference(resolution,[],[f11,f8]) ).

fof(f11,plain,
    ! [X5] :
      ( 'LE'(f(X5),s('0'))
      | 'E'(s('0'),f(X5)) ),
    inference(subsumption_resolution,[],[f3,f5]) ).

fof(f3,axiom,
    ! [X5] :
      ( 'E'(s('0'),f(X5))
      | 'LE'(f(X5),s('0'))
      | ~ 'LE'(f(X5),s(s('0'))) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_20) ).

fof(f62,plain,
    ( ~ 'E'(s('0'),f(z))
    | ~ 'E'(s('0'),f(suc(z)))
    | 'E'('0',f(z)) ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f59,plain,
    ( ~ 'E'(s('0'),f(z))
    | ~ 'E'(s('0'),f(suc(z)))
    | 'E'('0',f(z))
    | 'E'('0',f(z)) ),
    inference(resolution,[],[f53,f23]) ).

fof(f23,plain,
    ( iLEQ(suc(z),suc(z))
    | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f22,f14]) ).

fof(f22,plain,
    ( 'E'('0',f(z))
    | iLEQ(suc(z),suc(z))
    | ~ 'E'(s('0'),f(z)) ),
    inference(resolution,[],[f21,f9]) ).

fof(f9,axiom,
    ! [X3] :
      ( ~ 'E'(s('0'),f(suc(X3)))
      | iLEQ(suc(X3),suc(X3))
      | ~ 'E'(s('0'),f(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_50) ).

fof(f53,plain,
    ! [X0] :
      ( ~ iLEQ(suc(z),suc(X0))
      | ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(suc(X0)))
      | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f52,f21]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(z),suc(X0))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f51,f14]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(z))
      | ~ iLEQ(suc(z),suc(X0))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f50,f9]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(z))
      | ~ iLEQ(suc(z),suc(z))
      | ~ iLEQ(suc(z),suc(X0))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | 'E'('0',f(z)) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(z))
      | ~ 'E'(s('0'),f(z))
      | ~ iLEQ(suc(z),suc(z))
      | ~ iLEQ(suc(z),suc(X0))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | 'E'('0',f(z))
      | 'E'('0',f(z)) ),
    inference(resolution,[],[f40,f23]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ iLEQ(suc(X0),suc(X2))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(X2),suc(z))
      | ~ iLEQ(suc(z),suc(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f39,f21]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(X2))
      | ~ iLEQ(suc(X0),suc(X2))
      | ~ iLEQ(suc(X2),suc(z))
      | ~ iLEQ(suc(z),suc(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(z)))
      | 'E'('0',f(z)) ),
    inference(subsumption_resolution,[],[f38,f14]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(z))
      | ~ 'E'(s('0'),f(X2))
      | ~ iLEQ(suc(X0),suc(X2))
      | ~ iLEQ(suc(X2),suc(z))
      | ~ iLEQ(suc(z),suc(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(z)))
      | 'E'('0',f(z)) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ 'E'(s('0'),f(X0))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(z))
      | ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(z))
      | ~ iLEQ(suc(X0),suc(X2))
      | ~ iLEQ(suc(X2),suc(z))
      | ~ iLEQ(suc(z),suc(X1))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(z)))
      | 'E'('0',f(z)) ),
    inference(resolution,[],[f1,f23]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iLEQ(suc(X4),suc(X0))
      | ~ 'E'(s('0'),f(X3))
      | ~ 'E'(s('0'),f(X1))
      | ~ 'E'(s('0'),f(X4))
      | ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(X0))
      | ~ iLEQ(suc(X3),suc(X2))
      | ~ iLEQ(suc(X2),suc(X4))
      | ~ iLEQ(suc(X0),suc(X1))
      | ~ 'E'(s('0'),f(suc(X3)))
      | ~ 'E'(s('0'),f(suc(X2)))
      | ~ 'E'(s('0'),f(suc(X1)))
      | ~ 'E'(s('0'),f(suc(X0)))
      | ~ 'E'(s('0'),f(suc(X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_37) ).

fof(f80,plain,
    ( ~ 'E'('0',f(z))
    | iLEQ(suc(z),suc(z)) ),
    inference(resolution,[],[f79,f6]) ).

fof(f6,axiom,
    ! [X8] :
      ( ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(X8))
      | iLEQ(suc(X8),suc(X8)) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_6) ).

fof(f79,plain,
    'E'('0',f(suc(z))),
    inference(subsumption_resolution,[],[f78,f24]) ).

fof(f24,plain,
    ( 'E'(s('0'),f(suc(suc(z))))
    | 'E'('0',f(suc(z))) ),
    inference(resolution,[],[f20,f2]) ).

fof(f20,plain,
    ! [X1] :
      ( 'LE'(f(X1),'0')
      | 'E'('0',f(suc(X1)))
      | 'E'(s('0'),f(suc(suc(X1)))) ),
    inference(resolution,[],[f18,f7]) ).

fof(f7,axiom,
    ! [X12] :
      ( ~ 'LE'(f(suc(X12)),s('0'))
      | 'E'('0',f(suc(X12)))
      | 'LE'(f(X12),'0') ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_117) ).

fof(f78,plain,
    ( ~ 'E'(s('0'),f(suc(suc(z))))
    | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f77,f15]) ).

fof(f15,plain,
    ( 'E'(s('0'),f(suc(z)))
    | 'E'('0',f(suc(z))) ),
    inference(resolution,[],[f13,f2]) ).

fof(f13,plain,
    ! [X1] :
      ( 'LE'(f(X1),'0')
      | 'E'('0',f(suc(X1)))
      | 'E'(s('0'),f(suc(X1))) ),
    inference(resolution,[],[f11,f7]) ).

fof(f77,plain,
    ( ~ 'E'(s('0'),f(suc(z)))
    | ~ 'E'(s('0'),f(suc(suc(z))))
    | 'E'('0',f(suc(z))) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f76,plain,
    ( ~ 'E'(s('0'),f(suc(z)))
    | ~ 'E'(s('0'),f(suc(suc(z))))
    | 'E'('0',f(suc(z)))
    | 'E'('0',f(suc(z))) ),
    inference(resolution,[],[f75,f26]) ).

fof(f26,plain,
    ( iLEQ(suc(suc(z)),suc(suc(z)))
    | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f25,f15]) ).

fof(f25,plain,
    ( 'E'('0',f(suc(z)))
    | iLEQ(suc(suc(z)),suc(suc(z)))
    | ~ 'E'(s('0'),f(suc(z))) ),
    inference(resolution,[],[f24,f9]) ).

fof(f75,plain,
    ! [X2] :
      ( ~ iLEQ(suc(suc(z)),suc(X2))
      | ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(suc(X2)))
      | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f74,f24]) ).

fof(f74,plain,
    ! [X2] :
      ( ~ 'E'(s('0'),f(X2))
      | ~ iLEQ(suc(suc(z)),suc(X2))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | ~ 'E'(s('0'),f(suc(X2)))
      | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f73,f15]) ).

fof(f73,plain,
    ! [X2] :
      ( ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X2))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | ~ 'E'(s('0'),f(suc(X2)))
      | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f70,f9]) ).

fof(f70,plain,
    ! [X2] :
      ( ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X2))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | ~ 'E'(s('0'),f(suc(X2)))
      | 'E'('0',f(suc(z))) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f69,plain,
    ! [X2] :
      ( ~ 'E'(s('0'),f(X2))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X2))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | ~ 'E'(s('0'),f(suc(X2)))
      | 'E'('0',f(suc(z)))
      | 'E'('0',f(suc(z))) ),
    inference(resolution,[],[f44,f26]) ).

fof(f44,plain,
    ! [X8,X6,X7] :
      ( ~ iLEQ(suc(X6),suc(X8))
      | ~ 'E'(s('0'),f(X7))
      | ~ 'E'(s('0'),f(X8))
      | ~ 'E'(s('0'),f(X6))
      | ~ iLEQ(suc(X8),suc(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X7))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X8)))
      | ~ 'E'(s('0'),f(suc(X7)))
      | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f43,f24]) ).

fof(f43,plain,
    ! [X8,X6,X7] :
      ( ~ 'E'(s('0'),f(X6))
      | ~ 'E'(s('0'),f(X7))
      | ~ 'E'(s('0'),f(X8))
      | ~ iLEQ(suc(X6),suc(X8))
      | ~ iLEQ(suc(X8),suc(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X7))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X8)))
      | ~ 'E'(s('0'),f(suc(X7)))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | 'E'('0',f(suc(z))) ),
    inference(subsumption_resolution,[],[f36,f15]) ).

fof(f36,plain,
    ! [X8,X6,X7] :
      ( ~ 'E'(s('0'),f(X6))
      | ~ 'E'(s('0'),f(X7))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(X8))
      | ~ iLEQ(suc(X6),suc(X8))
      | ~ iLEQ(suc(X8),suc(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X7))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X8)))
      | ~ 'E'(s('0'),f(suc(X7)))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | 'E'('0',f(suc(z))) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f35,plain,
    ! [X8,X6,X7] :
      ( ~ 'E'(s('0'),f(X6))
      | ~ 'E'(s('0'),f(X7))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ 'E'(s('0'),f(X8))
      | ~ 'E'(s('0'),f(suc(z)))
      | ~ iLEQ(suc(X6),suc(X8))
      | ~ iLEQ(suc(X8),suc(suc(z)))
      | ~ iLEQ(suc(suc(z)),suc(X7))
      | ~ 'E'(s('0'),f(suc(X6)))
      | ~ 'E'(s('0'),f(suc(X8)))
      | ~ 'E'(s('0'),f(suc(X7)))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | ~ 'E'(s('0'),f(suc(suc(z))))
      | 'E'('0',f(suc(z))) ),
    inference(resolution,[],[f1,f26]) ).

fof(f107,plain,
    ~ iLEQ(suc(z),suc(z)),
    inference(subsumption_resolution,[],[f106,f64]) ).

fof(f106,plain,
    ( ~ 'E'('0',f(z))
    | ~ iLEQ(suc(z),suc(z)) ),
    inference(subsumption_resolution,[],[f105,f79]) ).

fof(f105,plain,
    ( ~ 'E'('0',f(suc(z)))
    | ~ 'E'('0',f(z))
    | ~ iLEQ(suc(z),suc(z)) ),
    inference(duplicate_literal_removal,[],[f98]) ).

fof(f98,plain,
    ( ~ 'E'('0',f(suc(z)))
    | ~ 'E'('0',f(suc(z)))
    | ~ 'E'('0',f(z))
    | ~ 'E'('0',f(z))
    | ~ iLEQ(suc(z),suc(z)) ),
    inference(resolution,[],[f97,f81]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ iLEQ(suc(X1),suc(X0))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(X1))
      | ~ 'E'('0',f(X0))
      | ~ iLEQ(suc(X0),suc(z)) ),
    inference(subsumption_resolution,[],[f96,f64]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(z))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ iLEQ(suc(X0),suc(z)) ),
    inference(subsumption_resolution,[],[f93,f79]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ 'E'('0',f(X0))
      | ~ 'E'('0',f(suc(z)))
      | ~ 'E'('0',f(suc(X0)))
      | ~ 'E'('0',f(suc(X1)))
      | ~ 'E'('0',f(z))
      | ~ 'E'('0',f(X1))
      | ~ iLEQ(suc(X1),suc(X0))
      | ~ iLEQ(suc(X0),suc(z)) ),
    inference(resolution,[],[f92,f81]) ).

fof(f92,plain,
    ! [X6,X7,X5] :
      ( ~ iLEQ(suc(X7),suc(z))
      | ~ 'E'('0',f(X6))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(suc(X6)))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X7))
      | ~ 'E'('0',f(X5))
      | ~ iLEQ(suc(X5),suc(X6))
      | ~ iLEQ(suc(X6),suc(X7)) ),
    inference(subsumption_resolution,[],[f91,f79]) ).

fof(f91,plain,
    ! [X6,X7,X5] :
      ( ~ 'E'('0',f(X5))
      | ~ 'E'('0',f(X6))
      | ~ 'E'('0',f(suc(z)))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(suc(X6)))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X7))
      | ~ iLEQ(suc(X7),suc(z))
      | ~ iLEQ(suc(X5),suc(X6))
      | ~ iLEQ(suc(X6),suc(X7)) ),
    inference(subsumption_resolution,[],[f87,f64]) ).

fof(f87,plain,
    ! [X6,X7,X5] :
      ( ~ 'E'('0',f(X5))
      | ~ 'E'('0',f(X6))
      | ~ 'E'('0',f(z))
      | ~ 'E'('0',f(suc(z)))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(suc(X6)))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X7))
      | ~ iLEQ(suc(X7),suc(z))
      | ~ iLEQ(suc(X5),suc(X6))
      | ~ iLEQ(suc(X6),suc(X7)) ),
    inference(duplicate_literal_removal,[],[f86]) ).

fof(f86,plain,
    ! [X6,X7,X5] :
      ( ~ 'E'('0',f(X5))
      | ~ 'E'('0',f(X6))
      | ~ 'E'('0',f(z))
      | ~ 'E'('0',f(z))
      | ~ 'E'('0',f(suc(z)))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(suc(z)))
      | ~ 'E'('0',f(suc(X6)))
      | ~ 'E'('0',f(suc(X5)))
      | ~ 'E'('0',f(X7))
      | ~ iLEQ(suc(X7),suc(z))
      | ~ iLEQ(suc(X5),suc(X6))
      | ~ iLEQ(suc(X6),suc(X7)) ),
    inference(resolution,[],[f81,f4]) ).

fof(f4,axiom,
    ! [X10,X8,X6,X9,X7] :
      ( ~ iLEQ(suc(X6),suc(X10))
      | ~ 'E'('0',f(X8))
      | ~ 'E'('0',f(X7))
      | ~ 'E'('0',f(X6))
      | ~ 'E'('0',f(X10))
      | ~ 'E'('0',f(suc(X10)))
      | ~ 'E'('0',f(suc(X9)))
      | ~ 'E'('0',f(suc(X6)))
      | ~ 'E'('0',f(suc(X7)))
      | ~ 'E'('0',f(suc(X8)))
      | ~ 'E'('0',f(X9))
      | ~ iLEQ(suc(X9),suc(X6))
      | ~ iLEQ(suc(X8),suc(X7))
      | ~ iLEQ(suc(X7),suc(X9)) ),
    file('/export/starexec/sandbox2/tmp/tmp.r42r8rDlij/Vampire---4.8_15277',clause_66) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Wed Aug 30 15:13:29 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.14/0.40  % (15384)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (15388)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.19/0.41  % (15386)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.19/0.41  % (15389)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.19/0.41  % (15390)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.19/0.41  % (15387)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.19/0.41  % (15391)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.19/0.41  % (15385)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.19/0.41  TRYING [1,1]
% 0.19/0.41  % (15389)First to succeed.
% 0.19/0.41  TRYING [2,1]
% 0.19/0.41  TRYING [1,1]
% 0.19/0.41  TRYING [1]
% 0.19/0.41  TRYING [3,1]
% 0.19/0.41  TRYING [2,1]
% 0.19/0.41  TRYING [2]
% 0.19/0.41  % (15389)Refutation found. Thanks to Tanya!
% 0.19/0.41  % SZS status Unsatisfiable for Vampire---4
% 0.19/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.41  % (15389)------------------------------
% 0.19/0.41  % (15389)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.41  % (15389)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.41  % (15389)Termination reason: Refutation
% 0.19/0.41  
% 0.19/0.41  % (15389)Memory used [KB]: 895
% 0.19/0.41  % (15389)Time elapsed: 0.006 s
% 0.19/0.41  % (15389)------------------------------
% 0.19/0.41  % (15389)------------------------------
% 0.19/0.41  % (15384)Success in time 0.067 s
% 0.19/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------