TSTP Solution File: SYO680-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO680-1 : 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 : n022.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 19:51:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 129 ( 61 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(resolution,[],[f59,f9]) ).
fof(f9,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_66) ).
fof(f59,plain,
! [X3] : 'LE'(f(X3),'0'),
inference(subsumption_resolution,[],[f58,f51]) ).
fof(f51,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f50,f17]) ).
fof(f17,axiom,
! [X3] :
( ~ 'LE'(f(X3),s('0'))
| 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_96) ).
fof(f50,plain,
! [X3] : 'LE'(f(X3),s('0')),
inference(subsumption_resolution,[],[f49,f44]) ).
fof(f44,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f43,f8]) ).
fof(f8,axiom,
! [X10] :
( ~ 'LE'(f(X10),s(s('0')))
| 'E'(s('0'),f(X10))
| 'LE'(f(X10),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f43,plain,
! [X0] : 'LE'(f(X0),s(s('0'))),
inference(subsumption_resolution,[],[f42,f38]) ).
fof(f38,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f37,f13]) ).
fof(f13,axiom,
! [X11] :
( ~ 'LE'(f(X11),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51) ).
fof(f37,plain,
! [X0] : 'LE'(f(X0),s(s(s('0')))),
inference(subsumption_resolution,[],[f35,f20]) ).
fof(f20,plain,
! [X14] :
( 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X14)) ),
inference(subsumption_resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X1] : 'LE'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_104) ).
fof(f12,axiom,
! [X14] :
( 'E'(s(s(s('0'))),f(X14))
| 'LE'(f(X14),s(s(s('0'))))
| ~ 'LE'(f(X14),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_127) ).
fof(f35,plain,
! [X0] :
( 'LE'(f(X0),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f34,f21]) ).
fof(f21,plain,
! [X9] :
( ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ 'E'(s(s(s('0'))),f(X9)) ),
inference(subsumption_resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X8,X9,X7] :
( ~ iLEQ(suc(X7),suc(X8))
| ~ 'E'(s(s(s('0'))),f(suc(X7)))
| ~ 'E'(s(s(s('0'))),f(suc(X8)))
| ~ iLEQ(suc(X9),suc(X7))
| ~ 'E'(s(s(s('0'))),f(X7))
| ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ 'E'(s(s(s('0'))),f(X9))
| ~ 'E'(s(s(s('0'))),f(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_71) ).
fof(f16,axiom,
! [X9] :
( ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ 'E'(s(s(s('0'))),f(X9))
| iLEQ(suc(X9),suc(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f34,plain,
! [X0] :
( 'E'(s(s(s('0'))),f(suc(X0)))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[],[f15,f2]) ).
fof(f15,axiom,
! [X14] :
( ~ 'LE'(f(suc(X14)),s(s(s(s('0')))))
| 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(suc(X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_102) ).
fof(f42,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f39,f22]) ).
fof(f22,plain,
! [X4] :
( ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4)) ),
inference(subsumption_resolution,[],[f5,f6]) ).
fof(f6,axiom,
! [X6,X4,X5] :
( ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'(s(s('0')),f(X6))
| ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'(s(s('0')),f(X5))
| ~ 'E'(s(s('0')),f(suc(X6)))
| ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(suc(X5)))
| ~ 'E'(s(s('0')),f(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f5,axiom,
! [X4] :
( iLEQ(suc(X4),suc(X4))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f39,plain,
! [X1] :
( 'E'(s(s('0')),f(suc(X1)))
| 'LE'(f(X1),s(s('0'))) ),
inference(resolution,[],[f37,f10]) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',clause_84) ).
fof(f49,plain,
! [X3] :
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3)) ),
inference(resolution,[],[f45,f19]) ).
fof(f19,plain,
! [X2] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X2)) ),
inference(subsumption_resolution,[],[f3,f14]) ).
fof(f14,axiom,
! [X2,X16,X15] :
( ~ 'E'(s('0'),f(suc(X16)))
| ~ iLEQ(suc(X15),suc(X16))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X15)))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X2),suc(X15))
| ~ 'E'(s('0'),f(X16))
| ~ 'E'(s('0'),f(X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f3,axiom,
! [X2] :
( ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X2)))
| iLEQ(suc(X2),suc(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_91) ).
fof(f45,plain,
! [X1] :
( 'E'(s('0'),f(suc(X1)))
| 'LE'(f(X1),s('0')) ),
inference(resolution,[],[f43,f18]) ).
fof(f18,axiom,
! [X10] :
( ~ 'LE'(f(suc(X10)),s(s('0')))
| 'LE'(f(X10),s('0'))
| 'E'(s('0'),f(suc(X10))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f58,plain,
! [X3] :
( 'LE'(f(X3),'0')
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],[f52,f23]) ).
fof(f23,plain,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(subsumption_resolution,[],[f1,f11]) ).
fof(f11,axiom,
! [X0,X12,X13] :
( ~ 'E'('0',f(suc(X13)))
| ~ 'E'('0',f(X12))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X12)))
| ~ iLEQ(suc(X0),suc(X12))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X12),suc(X13))
| ~ 'E'('0',f(X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_144) ).
fof(f1,axiom,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_109) ).
fof(f52,plain,
! [X1] :
( 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f50,f4]) ).
fof(f4,axiom,
! [X3] :
( ~ 'LE'(f(suc(X3)),s('0'))
| 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_114) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO680-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12 % 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 : n022.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 23:12:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (17044)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)
% 0.20/0.49 % (17036)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (17044)First to succeed.
% 0.20/0.50 % (17054)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (17052)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)
% 0.20/0.50 % (17033)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 % (17046)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.50 % (17036)Instruction limit reached!
% 0.20/0.50 % (17036)------------------------------
% 0.20/0.50 % (17036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17044)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (17044)------------------------------
% 0.20/0.51 % (17044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17044)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (17044)Memory used [KB]: 895
% 0.20/0.51 % (17044)Time elapsed: 0.107 s
% 0.20/0.51 % (17044)Instructions burned: 2 (million)
% 0.20/0.51 % (17044)------------------------------
% 0.20/0.51 % (17044)------------------------------
% 0.20/0.51 % (17028)Success in time 0.163 s
%------------------------------------------------------------------------------