TSTP Solution File: SYO630-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Tue Apr 30 18:23:28 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 7 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 171 ( 58 ~; 113 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(resolution,[],[f106,f105]) ).
fof(f105,plain,
! [X0] : 'E'('0',f(g(g(g(g(g(X0))))))),
inference(subsumption_resolution,[],[f92,f89]) ).
fof(f89,plain,
! [X0] :
( ~ 'E'(s('0'),f(g(g(g(X0)))))
| 'E'('0',f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f84,f35]) ).
fof(f35,plain,
! [X3] :
( ~ 'E'(s('0'),f(g(X3)))
| ~ 'E'(s('0'),f(X3)) ),
inference(subsumption_resolution,[],[f13,f5]) ).
fof(f5,axiom,
! [X4] : ~ 'E'(f(X4),f(g(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31_05) ).
fof(f13,axiom,
! [X3] :
( ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(g(X3)))
| 'E'(f(X3),f(g(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30_13) ).
fof(f84,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(g(g(g(g(X0)))))) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(g(g(g(g(X0))))))
| 'E'('0',f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f71,f4]) ).
fof(f4,axiom,
! [X3] : iLEQ(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18_04) ).
fof(f71,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(X1))
| 'E'('0',f(g(g(g(g(X0)))))) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( 'E'('0',f(g(g(g(g(X0))))))
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1) ),
inference(resolution,[],[f66,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ 'E'(s(s('0')),f(g(g(X0))))
| 'E'(s('0'),f(g(g(g(X0)))))
| 'E'('0',f(X1))
| ~ iLEQ(g(g(g(X0))),X1) ),
inference(resolution,[],[f63,f34]) ).
fof(f34,plain,
! [X6,X5] :
( ~ 'LE'(f(X5),s('0'))
| 'E'('0',f(X6))
| ~ iLEQ(X5,X6) ),
inference(subsumption_resolution,[],[f6,f7]) ).
fof(f7,axiom,
! [X7] : ~ 'LE'(f(X7),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_07) ).
fof(f6,axiom,
! [X6,X5] :
( ~ iLEQ(X5,X6)
| 'LE'(f(X6),'0')
| 'E'('0',f(X6))
| ~ 'LE'(f(X5),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_06) ).
fof(f63,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s('0'))
| 'E'(s('0'),f(g(g(g(X0)))))
| ~ 'E'(s(s('0')),f(g(g(X0)))) ),
inference(resolution,[],[f61,f36]) ).
fof(f36,plain,
! [X2] :
( ~ 'E'(s(s('0')),f(g(X2)))
| ~ 'E'(s(s('0')),f(X2)) ),
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f12,axiom,
! [X2] :
( ~ 'E'(s(s('0')),f(X2))
| 'E'(f(X2),f(g(X2)))
| ~ 'E'(s(s('0')),f(g(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27_12) ).
fof(f61,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(X0)))))
| 'E'(s('0'),f(g(g(g(X0)))))
| 'LE'(f(g(g(g(X0)))),s('0')) ),
inference(resolution,[],[f60,f4]) ).
fof(f60,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(X0))),X1)
| 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(X1))
| 'E'(s(s('0')),f(g(g(g(X0))))) ),
inference(subsumption_resolution,[],[f56,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(g(X0)))
| 'E'(s(s('0')),f(g(g(X0))))
| 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(g(X0)),X1) ),
inference(resolution,[],[f55,f32]) ).
fof(f32,axiom,
! [X16,X15] :
( ~ 'LE'(f(X15),s(s('0')))
| 'LE'(f(X16),s('0'))
| 'E'(s('0'),f(X16))
| ~ iLEQ(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17_32) ).
fof(f55,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s('0')))
| 'E'(s(s('0')),f(g(g(X0))))
| ~ 'E'(s(s(s('0'))),f(g(X0))) ),
inference(resolution,[],[f53,f37]) ).
fof(f37,plain,
! [X4] :
( ~ 'E'(s(s(s('0'))),f(g(X4)))
| ~ 'E'(s(s(s('0'))),f(X4)) ),
inference(subsumption_resolution,[],[f11,f5]) ).
fof(f11,axiom,
! [X4] :
( 'E'(f(X4),f(g(X4)))
| ~ 'E'(s(s(s('0'))),f(X4))
| ~ 'E'(s(s(s('0'))),f(g(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21_11) ).
fof(f53,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(g(g(X0))))
| 'E'(s(s('0')),f(g(g(X0))))
| 'LE'(f(g(g(X0))),s(s('0'))) ),
inference(resolution,[],[f52,f4]) ).
fof(f52,plain,
! [X0,X1] :
( ~ iLEQ(g(g(X0)),X1)
| 'LE'(f(X1),s(s('0')))
| 'E'(s(s('0')),f(X1))
| 'E'(s(s(s('0'))),f(g(g(X0)))) ),
inference(resolution,[],[f51,f15]) ).
fof(f15,axiom,
! [X8,X9] :
( ~ 'LE'(f(X8),s(s(s('0'))))
| 'LE'(f(X9),s(s('0')))
| 'E'(s(s('0')),f(X9))
| ~ iLEQ(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16_15) ).
fof(f51,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(X0)))) ),
inference(subsumption_resolution,[],[f48,f49]) ).
fof(f49,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(resolution,[],[f47,f38]) ).
fof(f38,plain,
! [X14] :
( ~ 'E'(s(s(s(s('0')))),f(g(X14)))
| ~ 'E'(s(s(s(s('0')))),f(X14)) ),
inference(subsumption_resolution,[],[f30,f5]) ).
fof(f30,axiom,
! [X14] :
( 'E'(f(X14),f(g(X14)))
| ~ 'E'(s(s(s(s('0')))),f(X14))
| ~ 'E'(s(s(s(s('0')))),f(g(X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_30) ).
fof(f47,plain,
! [X0] :
( 'E'(s(s(s(s('0')))),f(g(X0)))
| 'E'(s(s(s('0'))),f(g(X0)))
| 'LE'(f(g(X0)),s(s(s('0')))) ),
inference(resolution,[],[f46,f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ iLEQ(g(X0),X1)
| 'LE'(f(X1),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X1))
| 'E'(s(s(s(s('0')))),f(g(X0))) ),
inference(resolution,[],[f45,f17]) ).
fof(f17,axiom,
! [X12,X13] :
( ~ 'LE'(f(X12),s(s(s(s('0')))))
| 'LE'(f(X13),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X13))
| ~ iLEQ(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26_17) ).
fof(f45,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(X0))) ),
inference(subsumption_resolution,[],[f43,f42]) ).
fof(f42,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(X0)))
| 'E'(s(s(s(s(s('0'))))),f(X0)) ),
inference(resolution,[],[f40,f2]) ).
fof(f2,axiom,
! [X1] : iLEQ(X1,g(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13_02) ).
fof(f40,plain,
! [X0,X1] :
( ~ iLEQ(X1,X0)
| 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0] :
( 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_01) ).
fof(f16,axiom,
! [X10,X11] :
( ~ 'LE'(f(X10),s(s(s(s(s('0'))))))
| 'LE'(f(X11),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X11))
| ~ iLEQ(X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7_16) ).
fof(f43,plain,
! [X0] :
( 'LE'(f(g(X0)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(X0)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X0)) ),
inference(resolution,[],[f41,f39]) ).
fof(f39,plain,
! [X1] :
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,axiom,
! [X1] :
( 'E'(f(X1),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_10) ).
fof(f41,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(X0))
| 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X0)) ),
inference(resolution,[],[f40,f4]) ).
fof(f48,plain,
! [X0] :
( 'LE'(f(g(g(X0))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(X0))))
| 'E'(s(s(s(s('0')))),f(g(X0))) ),
inference(resolution,[],[f46,f2]) ).
fof(f56,plain,
! [X0,X1] :
( 'E'(s(s('0')),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(X0))))
| 'LE'(f(X1),s('0'))
| 'E'(s('0'),f(X1))
| ~ iLEQ(g(g(g(X0))),X1) ),
inference(resolution,[],[f54,f32]) ).
fof(f54,plain,
! [X0] :
( 'LE'(f(g(g(g(X0)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(X0)))))
| 'E'(s(s(s('0'))),f(g(g(X0)))) ),
inference(resolution,[],[f52,f2]) ).
fof(f66,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(X0)))))
| 'E'('0',f(g(g(g(g(X0))))))
| 'E'(s('0'),f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f64,f4]) ).
fof(f64,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s(s('0')),f(g(g(g(X0)))))
| 'E'('0',f(X1))
| 'E'(s('0'),f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f62,f34]) ).
fof(f62,plain,
! [X0] :
( 'LE'(f(g(g(g(g(X0))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'(s(s('0')),f(g(g(g(X0))))) ),
inference(resolution,[],[f60,f2]) ).
fof(f92,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(g(g(g(g(g(X0))))))) ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f91,plain,
! [X0] :
( 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(g(g(g(g(g(X0)))))))
| 'E'('0',f(g(g(g(g(g(X0))))))) ),
inference(resolution,[],[f75,f2]) ).
fof(f75,plain,
! [X0,X1] :
( ~ iLEQ(g(g(g(g(X0)))),X1)
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(X1))
| 'E'('0',f(g(g(g(g(g(X0))))))) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( 'E'('0',f(g(g(g(g(g(X0)))))))
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'(s('0'),f(g(g(g(g(X0))))))
| 'E'('0',f(X1))
| ~ iLEQ(g(g(g(g(X0)))),X1) ),
inference(resolution,[],[f67,f65]) ).
fof(f67,plain,
! [X0] :
( 'E'(s(s('0')),f(g(g(g(X0)))))
| 'E'('0',f(g(g(g(g(g(X0)))))))
| 'E'(s('0'),f(g(g(g(g(X0)))))) ),
inference(resolution,[],[f64,f2]) ).
fof(f106,plain,
! [X0] : ~ 'E'('0',f(g(g(g(g(X0)))))),
inference(resolution,[],[f105,f33]) ).
fof(f33,plain,
! [X7] :
( ~ 'E'('0',f(g(X7)))
| ~ 'E'('0',f(X7)) ),
inference(subsumption_resolution,[],[f24,f5]) ).
fof(f24,axiom,
! [X7] :
( ~ 'E'('0',f(X7))
| ~ 'E'('0',f(g(X7)))
| 'E'(f(X7),f(g(X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:27:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (20389)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (20391)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (20390)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (20392)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)
% 0.16/0.33 % (20394)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (20396)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)
% 0.16/0.33 % (20395)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (20393)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1,1]
% 0.16/0.33 % (20395)First to succeed.
% 0.16/0.33 TRYING [1,1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2,1]
% 0.16/0.33 TRYING [2,1]
% 0.16/0.34 TRYING [3,1]
% 0.16/0.34 % (20395)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (20395)------------------------------
% 0.16/0.34 % (20395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.34 % (20395)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (20395)Memory used [KB]: 765
% 0.16/0.34 % (20395)Time elapsed: 0.006 s
% 0.16/0.34 % (20395)Instructions burned: 10 (million)
% 0.16/0.34 % (20395)------------------------------
% 0.16/0.34 % (20395)------------------------------
% 0.16/0.34 % (20389)Success in time 0.021 s
%------------------------------------------------------------------------------