TSTP Solution File: SYO664-1 by Vampire-SAT---4.8
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- 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 --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 12:31:04 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0)))
| 'E'(s('0'),f(suc(suc(X0)))) ),
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/benchmark/theBenchmark.p',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,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(X0)))
| 'E'(s('0'),f(suc(X0))) ),
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,
! [X0] :
( ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(z))) ),
inference(subsumption_resolution,[],[f74,f24]) ).
fof(f74,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(z))) ),
inference(subsumption_resolution,[],[f73,f15]) ).
fof(f73,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(z))) ),
inference(subsumption_resolution,[],[f70,f9]) ).
fof(f70,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(z))) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f44,f26]) ).
fof(f44,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(suc(z)))
| ~ iLEQ(suc(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(suc(z))) ),
inference(subsumption_resolution,[],[f43,f24]) ).
fof(f43,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(suc(z)))
| ~ iLEQ(suc(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(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(subsumption_resolution,[],[f36,f15]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ iLEQ(suc(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(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(z)))
| ~ iLEQ(suc(X0),suc(X2))
| ~ iLEQ(suc(X2),suc(suc(z)))
| ~ iLEQ(suc(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(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,
! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(z))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(X2)) ),
inference(subsumption_resolution,[],[f91,f79]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(X2)) ),
inference(subsumption_resolution,[],[f87,f64]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(X2)) ),
inference(duplicate_literal_removal,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X2),suc(z))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(X2)) ),
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/benchmark/theBenchmark.p',clause_66) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n021.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 15:47:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (1522)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (1527)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (1532)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (1526)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (1528)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 theBenchmark for (476ds/0Mi)
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 % (1531)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (1533)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (1530)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [3,1]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 % (1531)First to succeed.
% 0.13/0.37 TRYING [3,2]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 % (1531)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1522"
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (1531)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (1531)------------------------------
% 0.13/0.37 % (1531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (1531)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (1531)Memory used [KB]: 779
% 0.13/0.37 % (1531)Time elapsed: 0.007 s
% 0.13/0.37 % (1531)Instructions burned: 11 (million)
% 0.13/0.37 % (1522)Success in time 0.021 s
%------------------------------------------------------------------------------