TSTP Solution File: SYO689-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO689-1 : 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 : n023.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 19:52:01 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 22
% Syntax : Number of formulae : 77 ( 8 unt; 0 def)
% Number of atoms : 471 ( 0 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 703 ( 309 ~; 394 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 9 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 : 200 ( 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,plain,
$false,
inference(resolution,[],[f108,f11]) ).
fof(f11,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1092) ).
fof(f108,plain,
! [X0] : 'LE'(f(X0),'0'),
inference(subsumption_resolution,[],[f107,f56]) ).
fof(f56,plain,
! [X1] :
( 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f54,f22]) ).
fof(f22,axiom,
! [X17] :
( ~ 'LE'(f(suc(X17)),s('0'))
| 'LE'(f(X17),'0')
| 'E'('0',f(suc(X17))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_113) ).
fof(f54,plain,
! [X6] : 'LE'(f(X6),s('0')),
inference(subsumption_resolution,[],[f53,f48]) ).
fof(f48,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f47,f5]) ).
fof(f5,axiom,
! [X9] :
( ~ 'LE'(f(X9),s(s('0')))
| 'E'(s('0'),f(X9))
| 'LE'(f(X9),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_740) ).
fof(f47,plain,
! [X6] : 'LE'(f(X6),s(s('0'))),
inference(subsumption_resolution,[],[f46,f41]) ).
fof(f41,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f40,f9]) ).
fof(f9,axiom,
! [X10] :
( ~ 'LE'(f(X10),s(s(s('0'))))
| 'LE'(f(X10),s(s('0')))
| 'E'(s(s('0')),f(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1314) ).
fof(f40,plain,
! [X0] : 'LE'(f(X0),s(s(s('0')))),
inference(subsumption_resolution,[],[f39,f31]) ).
fof(f31,plain,
! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f12,f30]) ).
fof(f30,plain,
! [X0] : 'LE'(f(X0),s(s(s(s('0'))))),
inference(subsumption_resolution,[],[f29,f23]) ).
fof(f23,plain,
! [X30] :
( 'LE'(f(X30),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X30)) ),
inference(subsumption_resolution,[],[f17,f4]) ).
fof(f4,axiom,
! [X8] : 'LE'(f(X8),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_583) ).
fof(f17,axiom,
! [X30] :
( 'E'(s(s(s(s('0')))),f(X30))
| 'LE'(f(X30),s(s(s(s('0')))))
| ~ 'LE'(f(X30),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2115) ).
fof(f29,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f26,f24]) ).
fof(f24,plain,
! [X30] :
( 'E'(s(s(s(s('0')))),f(suc(X30)))
| 'LE'(f(X30),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f20,f4]) ).
fof(f20,axiom,
! [X30] :
( 'E'(s(s(s(s('0')))),f(suc(X30)))
| ~ 'LE'(f(suc(X30)),s(s(s(s(s('0'))))))
| 'LE'(f(X30),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2050) ).
fof(f26,plain,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(subsumption_resolution,[],[f1,f14]) ).
fof(f14,axiom,
! [X28,X29,X0,X26,X27,X25] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X28)))
| ~ iLEQ(suc(X27),suc(X25))
| ~ 'E'(s(s(s(s('0')))),f(X26))
| ~ 'E'(s(s(s(s('0')))),f(suc(X29)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X27)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(suc(X26)))
| ~ iLEQ(suc(X28),suc(X29))
| ~ 'E'(s(s(s(s('0')))),f(X29))
| ~ 'E'(s(s(s(s('0')))),f(suc(X25)))
| ~ iLEQ(suc(X26),suc(X27))
| ~ iLEQ(suc(X0),suc(X26))
| ~ 'E'(s(s(s(s('0')))),f(X28))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(X27))
| ~ 'E'(s(s(s(s('0')))),f(X25))
| ~ iLEQ(suc(X25),suc(X28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1514) ).
fof(f1,axiom,
! [X0] :
( ~ 'E'(s(s(s(s('0')))),f(suc(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1581) ).
fof(f12,axiom,
! [X19] :
( ~ 'LE'(f(X19),s(s(s(s('0')))))
| 'LE'(f(X19),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1230) ).
fof(f39,plain,
! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f37,f25]) ).
fof(f25,plain,
! [X12] :
( ~ 'E'(s(s(s('0'))),f(suc(X12)))
| ~ 'E'(s(s(s('0'))),f(X12)) ),
inference(subsumption_resolution,[],[f18,f7]) ).
fof(f7,axiom,
! [X11,X16,X14,X15,X12,X13] :
( ~ iLEQ(suc(X11),suc(X16))
| ~ 'E'(s(s(s('0'))),f(suc(X16)))
| ~ 'E'(s(s(s('0'))),f(X12))
| ~ iLEQ(suc(X15),suc(X14))
| ~ 'E'(s(s(s('0'))),f(suc(X12)))
| ~ 'E'(s(s(s('0'))),f(suc(X13)))
| ~ 'E'(s(s(s('0'))),f(suc(X14)))
| ~ iLEQ(suc(X12),suc(X11))
| ~ iLEQ(suc(X14),suc(X13))
| ~ 'E'(s(s(s('0'))),f(X16))
| ~ 'E'(s(s(s('0'))),f(suc(X15)))
| ~ iLEQ(suc(X16),suc(X15))
| ~ 'E'(s(s(s('0'))),f(suc(X11)))
| ~ 'E'(s(s(s('0'))),f(X11))
| ~ 'E'(s(s(s('0'))),f(X13))
| ~ 'E'(s(s(s('0'))),f(X15))
| ~ 'E'(s(s(s('0'))),f(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_657) ).
fof(f18,axiom,
! [X12] :
( ~ 'E'(s(s(s('0'))),f(suc(X12)))
| iLEQ(suc(X12),suc(X12))
| ~ 'E'(s(s(s('0'))),f(X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2227) ).
fof(f37,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[],[f16,f30]) ).
fof(f16,axiom,
! [X19] :
( ~ 'LE'(f(suc(X19)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X19)))
| 'LE'(f(X19),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1935) ).
fof(f46,plain,
! [X6] :
( ~ 'E'(s(s('0')),f(X6))
| 'LE'(f(X6),s(s('0'))) ),
inference(resolution,[],[f42,f27]) ).
fof(f27,plain,
! [X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X1)) ),
inference(subsumption_resolution,[],[f2,f21]) ).
fof(f21,axiom,
! [X31,X1,X34,X35,X32,X33] :
( ~ 'E'(s(s('0')),f(suc(X35)))
| ~ iLEQ(suc(X1),suc(X32))
| ~ 'E'(s(s('0')),f(suc(X31)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X33)))
| ~ 'E'(s(s('0')),f(suc(X32)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(X32))
| ~ 'E'(s(s('0')),f(X34))
| ~ iLEQ(suc(X33),suc(X35))
| ~ iLEQ(suc(X34),suc(X31))
| ~ 'E'(s(s('0')),f(suc(X34)))
| ~ 'E'(s(s('0')),f(X35))
| ~ iLEQ(suc(X32),suc(X34))
| ~ 'E'(s(s('0')),f(X33))
| ~ 'E'(s(s('0')),f(X31))
| ~ iLEQ(suc(X31),suc(X33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1712) ).
fof(f2,axiom,
! [X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X1)))
| iLEQ(suc(X1),suc(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1218) ).
fof(f42,plain,
! [X1] :
( 'E'(s(s('0')),f(suc(X1)))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f40,f6]) ).
fof(f6,axiom,
! [X10] :
( ~ 'LE'(f(suc(X10)),s(s(s('0'))))
| 'LE'(f(X10),s(s('0')))
| 'E'(s(s('0')),f(suc(X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_388) ).
fof(f53,plain,
! [X6] :
( ~ 'E'(s('0'),f(X6))
| 'LE'(f(X6),s('0')) ),
inference(resolution,[],[f49,f28]) ).
fof(f28,plain,
! [X7] :
( ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(X7)) ),
inference(subsumption_resolution,[],[f15,f3]) ).
fof(f3,axiom,
! [X2,X3,X6,X7,X4,X5] :
( ~ 'E'(s('0'),f(suc(X5)))
| ~ iLEQ(suc(X2),suc(X5))
| ~ 'E'(s('0'),f(X7))
| ~ iLEQ(suc(X3),suc(X6))
| ~ iLEQ(suc(X5),suc(X4))
| ~ iLEQ(suc(X4),suc(X3))
| ~ 'E'(s('0'),f(X6))
| ~ iLEQ(suc(X7),suc(X2))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_327) ).
fof(f15,axiom,
! [X7] :
( ~ 'E'(s('0'),f(X7))
| iLEQ(suc(X7),suc(X7))
| ~ 'E'(s('0'),f(suc(X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1329) ).
fof(f49,plain,
! [X1] :
( 'E'(s('0'),f(suc(X1)))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f47,f19]) ).
fof(f19,axiom,
! [X9] :
( ~ 'LE'(f(suc(X9)),s(s('0')))
| 'LE'(f(X9),s('0'))
| 'E'(s('0'),f(suc(X9))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1440) ).
fof(f107,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X0))) ),
inference(subsumption_resolution,[],[f106,f55]) ).
fof(f55,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f54,f8]) ).
fof(f8,axiom,
! [X17] :
( ~ 'LE'(f(X17),s('0'))
| 'LE'(f(X17),'0')
| 'E'('0',f(X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_328) ).
fof(f106,plain,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f105,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f104,f10]) ).
fof(f10,axiom,
! [X18] :
( iLEQ(suc(X18),suc(X18))
| ~ 'E'('0',f(X18))
| ~ 'E'('0',f(suc(X18))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2293) ).
fof(f104,plain,
! [X0,X1] :
( ~ iLEQ(suc(X1),suc(X0))
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0') ),
inference(subsumption_resolution,[],[f103,f55]) ).
fof(f103,plain,
! [X0,X1] :
( 'LE'(f(X0),'0')
| 'LE'(f(X1),'0')
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X1),suc(X0)) ),
inference(subsumption_resolution,[],[f102,f56]) ).
fof(f102,plain,
! [X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'('0',f(X1))
| 'LE'(f(X0),'0') ),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X1),suc(X0))
| 'LE'(f(X1),'0')
| ~ 'E'('0',f(X1)) ),
inference(resolution,[],[f100,f10]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X1),'0')
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X0),'0') ),
inference(subsumption_resolution,[],[f99,f56]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0')
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X2),suc(X0)) ),
inference(subsumption_resolution,[],[f98,f55]) ).
fof(f98,plain,
! [X2,X0,X1] :
( 'LE'(f(X2),'0')
| ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X0),'0') ),
inference(duplicate_literal_removal,[],[f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X0),'0')
| 'LE'(f(X2),'0')
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X1),'0')
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f96,f10]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X1),suc(X3))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X3),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X2),'0')
| 'LE'(f(X0),'0') ),
inference(subsumption_resolution,[],[f95,f56]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( 'LE'(f(X0),'0')
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X3),'0')
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X1),suc(X3))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(suc(X3))) ),
inference(subsumption_resolution,[],[f94,f55]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ 'E'('0',f(X3))
| 'LE'(f(X2),'0')
| 'LE'(f(X3),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X2))
| 'LE'(f(X0),'0')
| ~ iLEQ(suc(X1),suc(X3))
| 'LE'(f(X1),'0') ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0')
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X3),'0')
| ~ iLEQ(suc(X1),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X0),'0')
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X3),suc(X2)) ),
inference(resolution,[],[f92,f10]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X3),suc(X0))
| 'LE'(f(X2),'0')
| 'LE'(f(X4),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X4))
| 'LE'(f(X3),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X0),'0') ),
inference(subsumption_resolution,[],[f91,f56]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X0),'0')
| 'LE'(f(X3),'0')
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X0),suc(X4))
| ~ iLEQ(suc(X4),suc(X1))
| 'LE'(f(X4),'0')
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X3),suc(X0))
| ~ 'E'('0',f(suc(X3))) ),
inference(subsumption_resolution,[],[f90,f55]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4] :
( ~ iLEQ(suc(X4),suc(X1))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X4))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(X0))
| 'LE'(f(X1),'0')
| 'LE'(f(X2),'0')
| 'LE'(f(X3),'0')
| 'LE'(f(X4),'0')
| ~ 'E'('0',f(suc(X3))) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( 'LE'(f(X4),'0')
| ~ 'E'('0',f(suc(X3)))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X3),suc(X0))
| ~ iLEQ(suc(X4),suc(X1))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X4))
| 'LE'(f(X3),'0')
| 'LE'(f(X2),'0')
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f88,f10]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iLEQ(suc(X5),suc(X1))
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X4),suc(X3))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X0),suc(X4))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X3),'0')
| 'LE'(f(X5),'0')
| 'LE'(f(X0),'0')
| 'LE'(f(X4),'0') ),
inference(subsumption_resolution,[],[f87,f55]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iLEQ(suc(X2),suc(X0))
| 'LE'(f(X4),'0')
| 'LE'(f(X2),'0')
| ~ 'E'('0',f(X3))
| 'LE'(f(X5),'0')
| 'LE'(f(X1),'0')
| 'LE'(f(X3),'0')
| ~ iLEQ(suc(X0),suc(X4))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X5),suc(X1))
| 'LE'(f(X0),'0')
| ~ iLEQ(suc(X4),suc(X3)) ),
inference(resolution,[],[f86,f56]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X3),'0')
| 'LE'(f(X5),'0')
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X4),suc(X5))
| 'LE'(f(X2),'0')
| ~ iLEQ(suc(X5),suc(X2))
| ~ iLEQ(suc(X3),suc(X0))
| 'LE'(f(X0),'0')
| 'LE'(f(X4),'0') ),
inference(subsumption_resolution,[],[f85,f55]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X2),'0')
| 'LE'(f(X0),'0')
| ~ iLEQ(suc(X3),suc(X0))
| 'LE'(f(X4),'0')
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X5),suc(X2))
| 'LE'(f(X5),'0')
| ~ 'E'('0',f(X4))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(X1)) ),
inference(resolution,[],[f84,f56]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(suc(X2)))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X4),suc(X5))
| 'LE'(f(X5),'0')
| ~ iLEQ(suc(X2),suc(X3))
| 'LE'(f(X4),'0')
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X3),'0')
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'('0',f(X2)) ),
inference(subsumption_resolution,[],[f83,f55]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(X5))
| 'LE'(f(X5),'0')
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ iLEQ(suc(X3),suc(X4))
| 'LE'(f(X4),'0')
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X5),suc(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ iLEQ(suc(X0),suc(X1))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X1))) ),
inference(resolution,[],[f82,f56]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X5),suc(X4))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(X4))
| ~ 'E'('0',f(suc(X3)))
| 'LE'(f(X2),'0')
| 'LE'(f(X5),'0')
| ~ iLEQ(suc(X4),suc(X0))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X5)) ),
inference(subsumption_resolution,[],[f81,f55]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X4,X5] :
( 'LE'(f(X2),'0')
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(X4))
| ~ 'E'('0',f(suc(X3)))
| 'LE'(f(X5),'0')
| ~ iLEQ(suc(X2),suc(X5))
| 'LE'(f(X0),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],[f80,f56]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(suc(X5)))
| ~ iLEQ(suc(X1),suc(X2))
| 'LE'(f(X4),'0')
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X0)))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(X3)) ),
inference(subsumption_resolution,[],[f79,f55]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X5))
| 'LE'(f(X1),'0')
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X5),suc(X0))
| ~ 'E'('0',f(suc(X3)))
| 'LE'(f(X4),'0')
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X3),suc(X4))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X1)) ),
inference(resolution,[],[f59,f56]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X5)))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X5),suc(X3))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X4))
| ~ iLEQ(suc(X4),suc(X0))
| ~ 'E'('0',f(X1))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(X5))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X1),suc(X5)) ),
inference(subsumption_resolution,[],[f58,f55]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X1))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(X4))
| ~ 'E'('0',f(suc(X1)))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X4)))
| ~ iLEQ(suc(X1),suc(X5))
| ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(X5),suc(X3))
| ~ iLEQ(suc(X4),suc(X0))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2))) ),
inference(resolution,[],[f56,f13]) ).
fof(f13,axiom,
! [X21,X18,X24,X22,X23,X20] :
( ~ 'E'('0',f(suc(X21)))
| ~ 'E'('0',f(suc(X22)))
| ~ 'E'('0',f(X24))
| ~ 'E'('0',f(suc(X20)))
| ~ 'E'('0',f(X22))
| ~ 'E'('0',f(suc(X18)))
| ~ iLEQ(suc(X21),suc(X22))
| ~ iLEQ(suc(X23),suc(X20))
| ~ 'E'('0',f(X23))
| ~ 'E'('0',f(X20))
| ~ 'E'('0',f(X18))
| ~ iLEQ(suc(X22),suc(X23))
| ~ 'E'('0',f(X21))
| ~ 'E'('0',f(suc(X23)))
| ~ 'E'('0',f(suc(X24)))
| ~ iLEQ(suc(X20),suc(X24))
| ~ iLEQ(suc(X18),suc(X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_421) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO689-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 23:32:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.47 % (950)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)
% 0.18/0.47 % (941)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)
% 0.18/0.48 % (967)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)
% 0.18/0.49 % (967)First to succeed.
% 0.18/0.50 % (967)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (967)------------------------------
% 0.18/0.50 % (967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (967)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (967)Memory used [KB]: 1023
% 0.18/0.50 % (967)Time elapsed: 0.119 s
% 0.18/0.50 % (967)Instructions burned: 10 (million)
% 0.18/0.50 % (967)------------------------------
% 0.18/0.50 % (967)------------------------------
% 0.18/0.50 % (928)Success in time 0.166 s
%------------------------------------------------------------------------------