TSTP Solution File: SYO664-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO664-1 : 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 : 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 : Wed Aug 31 19:51:55 EDT 2022
% Result : Unsatisfiable 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 3 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 141 ( 60 ~; 77 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f39,f43,f46,f52,f60]) ).
fof(f60,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f58,f23]) ).
fof(f23,plain,
( ~ 'E'('0',f(z))
| spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_2
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f58,plain,
( 'E'('0',f(z))
| spl0_4 ),
inference(subsumption_resolution,[],[f29,f37]) ).
fof(f37,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_4
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f29,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,[],[f27,f2]) ).
fof(f2,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_70) ).
fof(f27,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f26,f8]) ).
fof(f8,axiom,
! [X12] :
( ~ 'LE'(f(X12),s('0'))
| 'E'('0',f(X12))
| 'LE'(f(X12),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_94) ).
fof(f26,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(suc(X0))) ),
inference(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(suc(X5)),s(s('0')))
| 'E'(s('0'),f(suc(X5)))
| 'LE'(f(X5),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_83) ).
fof(f52,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f50,f38]) ).
fof(f38,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f50,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_3 ),
inference(resolution,[],[f48,f11]) ).
fof(f11,plain,
! [X3] :
( ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X3)) ),
inference(subsumption_resolution,[],[f9,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 'E'(s('0'),f(suc(X4)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X4))
| ~ 'E'(s('0'),f(X3))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X4),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X3),suc(X2))
| ~ iLEQ(suc(X2),suc(X4))
| ~ 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_37) ).
fof(f9,axiom,
! [X3] :
( iLEQ(suc(X3),suc(X3))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_50) ).
fof(f48,plain,
( 'E'(s('0'),f(suc(suc(z))))
| spl0_3 ),
inference(subsumption_resolution,[],[f47,f33]) ).
fof(f33,plain,
( ~ 'E'('0',f(suc(z)))
| spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_3
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f47,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f28,f2]) ).
fof(f28,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(suc(X1)))) ),
inference(resolution,[],[f26,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(f46,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f45,f36,f18]) ).
fof(f18,plain,
( spl0_1
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f45,plain,
( ~ 'E'(s('0'),f(z))
| ~ spl0_4 ),
inference(resolution,[],[f38,f11]) ).
fof(f43,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f41,f24]) ).
fof(f24,plain,
( 'E'('0',f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f41,plain,
( ~ 'E'('0',f(z))
| ~ spl0_3 ),
inference(resolution,[],[f34,f12]) ).
fof(f12,plain,
! [X8] :
( ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X8)) ),
inference(subsumption_resolution,[],[f6,f4]) ).
fof(f4,axiom,
! [X10,X8,X6,X9,X7] :
( ~ 'E'('0',f(suc(X10)))
| ~ 'E'('0',f(X9))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(suc(X9)))
| ~ iLEQ(suc(X9),suc(X6))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X7))
| ~ iLEQ(suc(X6),suc(X10))
| ~ iLEQ(suc(X7),suc(X9))
| ~ 'E'('0',f(X6))
| ~ 'E'('0',f(X10))
| ~ 'E'('0',f(X8))
| ~ iLEQ(suc(X8),suc(X7))
| ~ 'E'('0',f(suc(X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_66) ).
fof(f6,axiom,
! [X8] :
( ~ 'E'('0',f(X8))
| ~ 'E'('0',f(suc(X8)))
| iLEQ(suc(X8),suc(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f34,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f39,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
fof(f30,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f15,f2]) ).
fof(f15,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f13,f7]) ).
fof(f13,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f3,f5]) ).
fof(f3,axiom,
! [X5] :
( ~ 'LE'(f(X5),s(s('0')))
| 'LE'(f(X5),s('0'))
| 'E'(s('0'),f(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f22,f18]) ).
fof(f16,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(z)) ),
inference(resolution,[],[f14,f2]) ).
fof(f14,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f13,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SYO664-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 23:06:56 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.46 % (15327)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46 % (15326)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)
% 0.14/0.46 % (15343)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)
% 0.14/0.47 % (15335)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)
% 0.14/0.47 % (15327)Instruction limit reached!
% 0.14/0.47 % (15327)------------------------------
% 0.14/0.47 % (15327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (15327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (15327)Termination reason: Unknown
% 0.14/0.47 % (15327)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (15327)Memory used [KB]: 5373
% 0.14/0.47 % (15327)Time elapsed: 0.116 s
% 0.14/0.47 % (15327)Instructions burned: 8 (million)
% 0.14/0.47 % (15327)------------------------------
% 0.14/0.47 % (15327)------------------------------
% 0.14/0.47 % (15342)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)
% 0.14/0.48 % (15343)First to succeed.
% 0.14/0.48 TRYING [1]
% 0.14/0.48 % (15334)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)
% 0.14/0.48 % (15335)Also succeeded, but the first one will report.
% 0.14/0.48 % (15343)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (15343)------------------------------
% 0.14/0.48 % (15343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (15343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (15343)Termination reason: Refutation
% 0.14/0.48
% 0.14/0.48 % (15343)Memory used [KB]: 5373
% 0.14/0.48 % (15343)Time elapsed: 0.114 s
% 0.14/0.48 % (15343)Instructions burned: 2 (million)
% 0.14/0.48 % (15343)------------------------------
% 0.14/0.48 % (15343)------------------------------
% 0.14/0.48 % (15319)Success in time 0.17 s
%------------------------------------------------------------------------------