TSTP Solution File: SYO677-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO677-1 : 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 : n026.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 19:51:58 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 33
% Syntax : Number of formulae : 75 ( 7 unt; 0 def)
% Number of atoms : 291 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 414 ( 198 ~; 216 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 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 : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(resolution,[],[f157,f28]) ).
fof(f28,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_77) ).
fof(f157,plain,
! [X6] : 'LE'(f(X6),'0'),
inference(subsumption_resolution,[],[f156,f125]) ).
fof(f125,plain,
! [X1] :
( 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f123,f13]) ).
fof(f13,axiom,
! [X10] :
( ~ 'LE'(f(suc(X10)),s('0'))
| 'LE'(f(X10),'0')
| 'E'('0',f(suc(X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f123,plain,
! [X0] : 'LE'(f(X0),s('0')),
inference(subsumption_resolution,[],[f122,f99]) ).
fof(f99,plain,
! [X1] :
( 'E'(s('0'),f(suc(X1)))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f97,f25]) ).
fof(f25,axiom,
! [X7] :
( ~ 'LE'(f(suc(X7)),s(s('0')))
| 'E'(s('0'),f(suc(X7)))
| 'LE'(f(X7),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_39) ).
fof(f97,plain,
! [X0] : 'LE'(f(X0),s(s('0'))),
inference(subsumption_resolution,[],[f96,f76]) ).
fof(f76,plain,
! [X1] :
( 'E'(s(s('0')),f(suc(X1)))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f74,f31]) ).
fof(f31,axiom,
! [X11] :
( ~ 'LE'(f(suc(X11)),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(suc(X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_87) ).
fof(f74,plain,
! [X0] : 'LE'(f(X0),s(s(s('0')))),
inference(subsumption_resolution,[],[f73,f63]) ).
fof(f63,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[],[f9,f18]) ).
fof(f18,axiom,
! [X12] : 'LE'(f(X12),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_113) ).
fof(f9,axiom,
! [X4] :
( ~ 'LE'(f(suc(X4)),s(s(s(s('0')))))
| 'LE'(f(X4),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(suc(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f73,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f72,f58]) ).
fof(f58,plain,
! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f16,f18]) ).
fof(f16,axiom,
! [X4] :
( ~ 'LE'(f(X4),s(s(s(s('0')))))
| 'LE'(f(X4),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_61) ).
fof(f72,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f66,f53]) ).
fof(f53,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,[],[f32,f10]) ).
fof(f10,axiom,
! [X6,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ iLEQ(suc(X6),suc(X5))
| 'E'(f(X6),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| 'E'(f(X5),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).
fof(f32,axiom,
! [X6] :
( 'E'(f(X6),f(suc(X6)))
| iLEQ(suc(X6),suc(X6))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ 'E'(s(s(s('0'))),f(suc(X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_65) ).
fof(f66,plain,
! [X0] :
( ~ 'E'(f(X0),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f51,f54]) ).
fof(f54,plain,
! [X4] :
( 'E'(s(s(s('0'))),f(suc(suc(X4))))
| 'LE'(f(X4),s(s(s('0')))) ),
inference(subsumption_resolution,[],[f3,f18]) ).
fof(f3,axiom,
! [X4] :
( 'LE'(f(X4),s(s(s('0'))))
| ~ 'LE'(f(suc(suc(X4))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X4)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_143) ).
fof(f51,plain,
! [X6] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
| ~ 'E'(f(X6),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(X6)) ),
inference(subsumption_resolution,[],[f22,f47]) ).
fof(f47,plain,
! [X6,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ iLEQ(suc(X6),suc(X5))
| ~ 'E'(f(X5),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X5))))
| ~ 'E'(s(s(s('0'))),f(suc(X6))) ),
inference(subsumption_resolution,[],[f30,f46]) ).
fof(f46,plain,
! [X6,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X5))))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ iLEQ(suc(X6),suc(X5))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| 'E'(f(X6),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(X6)) ),
inference(subsumption_resolution,[],[f21,f10]) ).
fof(f21,axiom,
! [X6,X5] :
( 'E'(f(X6),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X5))))
| ~ iLEQ(suc(X6),suc(X5))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(f(X5),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(s(s(s('0'))),f(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f30,axiom,
! [X6,X5] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X5))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
| ~ 'E'(s(s(s('0'))),f(X5))
| ~ 'E'(f(X5),f(suc(X5)))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| ~ iLEQ(suc(X6),suc(X5))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ 'E'(s(s(s('0'))),f(suc(X5)))
| ~ 'E'(f(X6),f(suc(X6))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_121) ).
fof(f22,axiom,
! [X6] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(X6))))
| ~ 'E'(f(X6),f(suc(X6)))
| ~ 'E'(s(s(s('0'))),f(X6))
| ~ 'E'(s(s(s('0'))),f(suc(X6)))
| iLEQ(suc(X6),suc(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_140) ).
fof(f96,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| 'LE'(f(X0),s(s('0'))) ),
inference(subsumption_resolution,[],[f94,f75]) ).
fof(f75,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f74,f19]) ).
fof(f19,axiom,
! [X11] :
( ~ 'LE'(f(X11),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_73) ).
fof(f94,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0))) ),
inference(resolution,[],[f77,f50]) ).
fof(f50,plain,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X1))))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(subsumption_resolution,[],[f49,f48]) ).
fof(f48,plain,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(subsumption_resolution,[],[f34,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X0))
| 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X1))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_38) ).
fof(f34,axiom,
! [X1] :
( 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| iLEQ(suc(X1),suc(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_84) ).
fof(f49,plain,
! [X1] :
( ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(suc(X1))))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(subsumption_resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(suc(X1))))
| ~ 'E'(s(s('0')),f(suc(suc(X0))))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(f(X1),f(suc(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f12,axiom,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1))
| iLEQ(suc(X1),suc(X1))
| ~ 'E'(s(s('0')),f(suc(suc(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_97) ).
fof(f77,plain,
! [X2] :
( 'E'(s(s('0')),f(suc(suc(X2))))
| 'LE'(f(X2),s(s('0'))) ),
inference(resolution,[],[f74,f15]) ).
fof(f15,axiom,
! [X11] :
( ~ 'LE'(f(suc(suc(X11))),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(suc(suc(X11)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f122,plain,
! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(subsumption_resolution,[],[f121,f98]) ).
fof(f98,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f97,f7]) ).
fof(f7,axiom,
! [X7] :
( ~ 'LE'(f(X7),s(s('0')))
| 'E'(s('0'),f(X7))
| 'LE'(f(X7),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f121,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(subsumption_resolution,[],[f117,f52]) ).
fof(f52,plain,
! [X9] :
( ~ 'E'(s('0'),f(suc(X9)))
| 'E'(f(X9),f(suc(X9)))
| ~ 'E'(s('0'),f(X9)) ),
inference(subsumption_resolution,[],[f37,f35]) ).
fof(f35,axiom,
! [X8,X9] :
( ~ 'E'(s('0'),f(suc(X9)))
| ~ 'E'(s('0'),f(X9))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ iLEQ(suc(X9),suc(X8))
| 'E'(f(X9),f(suc(X9)))
| ~ 'E'(s('0'),f(X8))
| 'E'(f(X8),f(suc(X8))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_112) ).
fof(f37,axiom,
! [X9] :
( iLEQ(suc(X9),suc(X9))
| 'E'(f(X9),f(suc(X9)))
| ~ 'E'(s('0'),f(suc(X9)))
| ~ 'E'(s('0'),f(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_115) ).
fof(f117,plain,
! [X0] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f100,f45]) ).
fof(f45,plain,
! [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)) ),
inference(subsumption_resolution,[],[f24,f43]) ).
fof(f43,plain,
! [X8,X9] :
( ~ 'E'(s('0'),f(suc(suc(X9))))
| ~ 'E'(s('0'),f(suc(X9)))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X9))
| ~ iLEQ(suc(X9),suc(X8))
| ~ 'E'(f(X8),f(suc(X8)))
| ~ 'E'(s('0'),f(suc(suc(X8))))
| ~ 'E'(s('0'),f(X8)) ),
inference(subsumption_resolution,[],[f29,f8]) ).
fof(f8,axiom,
! [X8,X9] :
( ~ 'E'(s('0'),f(suc(suc(X8))))
| 'E'(f(X9),f(suc(X9)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X9))
| ~ 'E'(f(X8),f(suc(X8)))
| ~ iLEQ(suc(X9),suc(X8))
| ~ 'E'(s('0'),f(suc(X9))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_74) ).
fof(f29,axiom,
! [X8,X9] :
( ~ 'E'(s('0'),f(X9))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(suc(X9)))
| ~ 'E'(f(X9),f(suc(X9)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(suc(X8))))
| ~ 'E'(s('0'),f(suc(suc(X9))))
| ~ 'E'(f(X8),f(suc(X8)))
| ~ iLEQ(suc(X9),suc(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_57) ).
fof(f24,axiom,
! [X9] :
( iLEQ(suc(X9),suc(X9))
| ~ 'E'(s('0'),f(X9))
| ~ 'E'(s('0'),f(suc(X9)))
| ~ 'E'(s('0'),f(suc(suc(X9))))
| ~ 'E'(f(X9),f(suc(X9))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f100,plain,
! [X2] :
( 'E'(s('0'),f(suc(suc(X2))))
| 'LE'(f(X2),s('0')) ),
inference(resolution,[],[f97,f27]) ).
fof(f27,axiom,
! [X7] :
( ~ 'LE'(f(suc(suc(X7))),s(s('0')))
| 'LE'(f(X7),s('0'))
| 'E'(s('0'),f(suc(suc(X7)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49) ).
fof(f156,plain,
! [X6] :
( ~ 'E'('0',f(suc(X6)))
| 'LE'(f(X6),'0') ),
inference(subsumption_resolution,[],[f153,f124]) ).
fof(f124,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f123,f14]) ).
fof(f14,axiom,
! [X10] :
( ~ 'LE'(f(X10),s('0'))
| 'LE'(f(X10),'0')
| 'E'('0',f(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_145) ).
fof(f153,plain,
! [X6] :
( ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X6))
| 'LE'(f(X6),'0') ),
inference(resolution,[],[f126,f56]) ).
fof(f56,plain,
! [X3] :
( ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(subsumption_resolution,[],[f55,f44]) ).
fof(f44,plain,
! [X3] :
( ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| 'E'(f(X3),f(suc(X3))) ),
inference(subsumption_resolution,[],[f23,f17]) ).
fof(f17,axiom,
! [X2,X3] :
( ~ 'E'('0',f(suc(X3)))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X2))
| 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0) ).
fof(f23,axiom,
! [X3] :
( ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_150) ).
fof(f55,plain,
! [X3] :
( ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X3)))) ),
inference(subsumption_resolution,[],[f38,f40]) ).
fof(f40,plain,
! [X2,X3] :
( ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(X2)) ),
inference(subsumption_resolution,[],[f20,f39]) ).
fof(f39,plain,
! [X2,X3] :
( ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2)))
| 'E'(f(X3),f(suc(X3))) ),
inference(subsumption_resolution,[],[f2,f17]) ).
fof(f2,axiom,
! [X2,X3] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(X2))
| 'E'(f(X3),f(suc(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f20,axiom,
! [X2,X3] :
( ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_48) ).
fof(f38,axiom,
! [X3] :
( iLEQ(suc(X3),suc(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_114) ).
fof(f126,plain,
! [X2] :
( 'E'('0',f(suc(suc(X2))))
| 'LE'(f(X2),'0') ),
inference(resolution,[],[f123,f36]) ).
fof(f36,axiom,
! [X10] :
( ~ 'LE'(f(suc(suc(X10))),s('0'))
| 'LE'(f(X10),'0')
| 'E'('0',f(suc(suc(X10)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO677-1 : 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
% 0.14/0.34 % Computer : n026.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 : Tue Aug 30 23:25:36 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (8906)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (8924)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)
% 0.20/0.51 % (8911)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)
% 0.20/0.52 % (8925)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)
% 0.20/0.52 % (8927)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (8910)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (8917)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)
% 0.20/0.52 % (8904)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)
% 0.20/0.52 % (8902)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)
% 0.20/0.52 % (8904)First to succeed.
% 0.20/0.53 % (8903)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)
% 0.20/0.53 % (8908)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)
% 0.20/0.53 % (8905)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)
% 0.20/0.53 % (8903)Refutation not found, incomplete strategy% (8903)------------------------------
% 0.20/0.53 % (8903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8903)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (8903)Memory used [KB]: 5500
% 0.20/0.53 % (8903)Time elapsed: 0.122 s
% 0.20/0.53 % (8903)Instructions burned: 3 (million)
% 0.20/0.53 % (8903)------------------------------
% 0.20/0.53 % (8903)------------------------------
% 0.20/0.53 % (8912)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (8918)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)
% 0.20/0.53 % (8916)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)
% 0.20/0.53 % (8914)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (8910)Instruction limit reached!
% 0.20/0.53 % (8910)------------------------------
% 0.20/0.53 % (8910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8910)Termination reason: Unknown
% 0.20/0.53 % (8910)Termination phase: Blocked clause elimination
% 0.20/0.53
% 0.20/0.53 % (8910)Memory used [KB]: 895
% 0.20/0.53 % (8910)Time elapsed: 0.002 s
% 0.20/0.53 % (8910)Instructions burned: 3 (million)
% 0.20/0.53 % (8910)------------------------------
% 0.20/0.53 % (8910)------------------------------
% 0.20/0.54 % (8931)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)
% 0.20/0.54 % (8913)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)
% 0.20/0.54 % (8920)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (8930)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (8909)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (8923)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (8909)Instruction limit reached!
% 0.20/0.54 % (8909)------------------------------
% 0.20/0.54 % (8909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (8909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (8909)Termination reason: Unknown
% 0.20/0.54 % (8909)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (8909)Memory used [KB]: 5500
% 0.20/0.54 % (8909)Time elapsed: 0.102 s
% 0.20/0.54 % (8909)Instructions burned: 8 (million)
% 0.20/0.54 % (8909)------------------------------
% 0.20/0.54 % (8909)------------------------------
% 0.20/0.55 % (8928)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)
% 0.20/0.55 % (8926)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (8922)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)
% 0.20/0.55 % (8915)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (8907)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)
% 0.20/0.55 % (8904)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (8904)------------------------------
% 0.20/0.55 % (8904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (8904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (8904)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (8904)Memory used [KB]: 1023
% 0.20/0.55 % (8904)Time elapsed: 0.127 s
% 0.20/0.55 % (8904)Instructions burned: 8 (million)
% 0.20/0.55 % (8904)------------------------------
% 0.20/0.55 % (8904)------------------------------
% 0.20/0.55 % (8901)Success in time 0.202 s
%------------------------------------------------------------------------------