TSTP Solution File: SWC417-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC417-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n028.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 18:43:44 EDT 2022
% Result : Unsatisfiable 0.41s 0.69s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 46 ( 19 unt; 0 def)
% Number of atoms : 95 ( 39 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 58 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f419,plain,
$false,
inference(subsumption_resolution,[],[f418,f256]) ).
fof(f256,plain,
sk2 = app(sF0,sk6),
inference(backward_demodulation,[],[f231,f255]) ).
fof(f255,plain,
sk2 = sF2,
inference(resolution,[],[f246,f239]) ).
fof(f239,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f246,plain,
( ~ neq(sk2,nil)
| sk2 = sF2 ),
inference(forward_demodulation,[],[f242,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f242,plain,
( ~ neq(sk4,nil)
| sk2 = sF2 ),
inference(backward_demodulation,[],[f233,f190]) ).
fof(f233,plain,
( ~ neq(sk4,nil)
| sk4 = sF2 ),
inference(definition_folding,[],[f202,f231,f228]) ).
fof(f228,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f231,plain,
app(sF0,sk6) = sF2,
introduced(function_definition,[]) ).
fof(f418,plain,
sk2 != app(sF0,sk6),
inference(subsumption_resolution,[],[f417,f254]) ).
fof(f254,plain,
ssList(sk6),
inference(resolution,[],[f245,f239]) ).
fof(f245,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(backward_demodulation,[],[f201,f190]) ).
fof(f201,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f417,plain,
( ~ ssList(sk6)
| sk2 != app(sF0,sk6) ),
inference(subsumption_resolution,[],[f415,f335]) ).
fof(f335,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f415,plain,
( sk1 != app(sk1,nil)
| sk2 != app(sF0,sk6)
| ~ ssList(sk6) ),
inference(superposition,[],[f411,f251]) ).
fof(f251,plain,
sk1 = app(sk6,sF0),
inference(backward_demodulation,[],[f229,f250]) ).
fof(f250,plain,
sk1 = sF1,
inference(subsumption_resolution,[],[f249,f239]) ).
fof(f249,plain,
( ~ neq(sk2,nil)
| sk1 = sF1 ),
inference(backward_demodulation,[],[f244,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f244,plain,
( sk3 = sF1
| ~ neq(sk2,nil) ),
inference(backward_demodulation,[],[f230,f190]) ).
fof(f230,plain,
( sk3 = sF1
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f203,f229,f228]) ).
fof(f203,axiom,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f229,plain,
app(sk6,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f411,plain,
! [X0] :
( sk1 != app(app(X0,sF0),nil)
| ~ ssList(X0)
| sk2 != app(sF0,X0) ),
inference(subsumption_resolution,[],[f409,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f409,plain,
! [X0] :
( sk1 != app(app(X0,sF0),nil)
| ~ ssList(nil)
| ~ ssList(X0)
| sk2 != app(sF0,X0) ),
inference(superposition,[],[f259,f405]) ).
fof(f405,plain,
app(nil,sF0) = sF0,
inference(resolution,[],[f404,f74]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f404,plain,
ssList(sF0),
inference(subsumption_resolution,[],[f403,f8]) ).
fof(f403,plain,
( ssList(sF0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f402,f253]) ).
fof(f253,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f252,f239]) ).
fof(f252,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f200,f190]) ).
fof(f200,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f402,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f86,f228]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f259,plain,
! [X0,X1] :
( sk2 != app(app(X0,sF0),X1)
| sk1 != app(app(X1,sF0),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f258,f253]) ).
fof(f258,plain,
! [X0,X1] :
( ~ ssList(X0)
| sk2 != app(app(X0,sF0),X1)
| ~ ssItem(sk5)
| ~ ssList(X1)
| sk1 != app(app(X1,sF0),X0) ),
inference(superposition,[],[f257,f228]) ).
fof(f257,plain,
! [X2,X0,X1] :
( sk2 != app(app(X2,cons(X1,nil)),X0)
| sk1 != app(app(X0,cons(X1,nil)),X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f243,f239]) ).
fof(f243,plain,
! [X8,X6,X7] :
( ~ neq(sk2,nil)
| sk1 != app(app(X8,cons(X6,nil)),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk2 != app(app(X7,cons(X6,nil)),X8) ),
inference(backward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X8,cons(X6,nil)),X7)
| ~ ssItem(X6)
| ~ neq(sk4,nil)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC417-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:03:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ipcrm: permission denied for id (578289665)
% 0.13/0.36 ipcrm: permission denied for id (578355203)
% 0.13/0.36 ipcrm: permission denied for id (578387972)
% 0.13/0.36 ipcrm: permission denied for id (582844421)
% 0.13/0.36 ipcrm: permission denied for id (578453510)
% 0.13/0.36 ipcrm: permission denied for id (578519048)
% 0.13/0.36 ipcrm: permission denied for id (578551817)
% 0.13/0.37 ipcrm: permission denied for id (578584586)
% 0.13/0.37 ipcrm: permission denied for id (578617355)
% 0.13/0.37 ipcrm: permission denied for id (578650124)
% 0.13/0.37 ipcrm: permission denied for id (578682893)
% 0.13/0.37 ipcrm: permission denied for id (582975502)
% 0.13/0.37 ipcrm: permission denied for id (578748431)
% 0.13/0.37 ipcrm: permission denied for id (578813969)
% 0.13/0.38 ipcrm: permission denied for id (578846738)
% 0.13/0.38 ipcrm: permission denied for id (578879507)
% 0.13/0.38 ipcrm: permission denied for id (578945045)
% 0.13/0.38 ipcrm: permission denied for id (578977814)
% 0.13/0.38 ipcrm: permission denied for id (579010583)
% 0.13/0.38 ipcrm: permission denied for id (583073817)
% 0.13/0.38 ipcrm: permission denied for id (583106586)
% 0.19/0.39 ipcrm: permission denied for id (579174428)
% 0.19/0.39 ipcrm: permission denied for id (579305502)
% 0.19/0.39 ipcrm: permission denied for id (583204895)
% 0.19/0.39 ipcrm: permission denied for id (579338272)
% 0.19/0.39 ipcrm: permission denied for id (583237665)
% 0.19/0.39 ipcrm: permission denied for id (583270434)
% 0.19/0.40 ipcrm: permission denied for id (579436579)
% 0.19/0.40 ipcrm: permission denied for id (583335973)
% 0.19/0.40 ipcrm: permission denied for id (579534886)
% 0.19/0.40 ipcrm: permission denied for id (583368743)
% 0.19/0.40 ipcrm: permission denied for id (579633192)
% 0.19/0.40 ipcrm: permission denied for id (579665961)
% 0.19/0.40 ipcrm: permission denied for id (579698730)
% 0.19/0.40 ipcrm: permission denied for id (583401515)
% 0.19/0.41 ipcrm: permission denied for id (579764268)
% 0.19/0.41 ipcrm: permission denied for id (579797037)
% 0.19/0.41 ipcrm: permission denied for id (583434286)
% 0.19/0.41 ipcrm: permission denied for id (579928111)
% 0.19/0.41 ipcrm: permission denied for id (583467056)
% 0.19/0.41 ipcrm: permission denied for id (579960881)
% 0.19/0.41 ipcrm: permission denied for id (583499826)
% 0.19/0.41 ipcrm: permission denied for id (580026419)
% 0.19/0.42 ipcrm: permission denied for id (583532596)
% 0.19/0.42 ipcrm: permission denied for id (580091957)
% 0.19/0.42 ipcrm: permission denied for id (583565366)
% 0.19/0.42 ipcrm: permission denied for id (580190264)
% 0.19/0.42 ipcrm: permission denied for id (583630905)
% 0.19/0.42 ipcrm: permission denied for id (580255802)
% 0.19/0.42 ipcrm: permission denied for id (580288571)
% 0.19/0.43 ipcrm: permission denied for id (583827520)
% 0.19/0.43 ipcrm: permission denied for id (580616257)
% 0.19/0.43 ipcrm: permission denied for id (580649026)
% 0.19/0.43 ipcrm: permission denied for id (583860291)
% 0.19/0.44 ipcrm: permission denied for id (580747333)
% 0.19/0.44 ipcrm: permission denied for id (583958599)
% 0.19/0.44 ipcrm: permission denied for id (580878408)
% 0.19/0.44 ipcrm: permission denied for id (580911177)
% 0.19/0.44 ipcrm: permission denied for id (580943946)
% 0.19/0.44 ipcrm: permission denied for id (583991371)
% 0.19/0.44 ipcrm: permission denied for id (584024140)
% 0.19/0.45 ipcrm: permission denied for id (584089678)
% 0.19/0.45 ipcrm: permission denied for id (584122447)
% 0.19/0.45 ipcrm: permission denied for id (584155216)
% 0.19/0.45 ipcrm: permission denied for id (581206097)
% 0.19/0.45 ipcrm: permission denied for id (581238866)
% 0.19/0.45 ipcrm: permission denied for id (584253525)
% 0.19/0.46 ipcrm: permission denied for id (584319063)
% 0.19/0.46 ipcrm: permission denied for id (581501017)
% 0.19/0.46 ipcrm: permission denied for id (581533786)
% 0.19/0.46 ipcrm: permission denied for id (584384603)
% 0.19/0.46 ipcrm: permission denied for id (584450141)
% 0.19/0.46 ipcrm: permission denied for id (584482910)
% 0.19/0.47 ipcrm: permission denied for id (584515679)
% 0.19/0.47 ipcrm: permission denied for id (581730400)
% 0.19/0.47 ipcrm: permission denied for id (584548449)
% 0.19/0.47 ipcrm: permission denied for id (581795938)
% 0.19/0.47 ipcrm: permission denied for id (581828707)
% 0.19/0.47 ipcrm: permission denied for id (581861476)
% 0.19/0.47 ipcrm: permission denied for id (581927014)
% 0.19/0.48 ipcrm: permission denied for id (584613991)
% 0.19/0.48 ipcrm: permission denied for id (581992552)
% 0.19/0.48 ipcrm: permission denied for id (582025321)
% 0.19/0.48 ipcrm: permission denied for id (582090859)
% 0.19/0.48 ipcrm: permission denied for id (584712301)
% 0.19/0.48 ipcrm: permission denied for id (582156398)
% 0.19/0.48 ipcrm: permission denied for id (582189167)
% 0.19/0.49 ipcrm: permission denied for id (582221936)
% 0.19/0.49 ipcrm: permission denied for id (584777842)
% 0.19/0.49 ipcrm: permission denied for id (582353012)
% 0.19/0.49 ipcrm: permission denied for id (582385781)
% 0.19/0.49 ipcrm: permission denied for id (582418550)
% 0.19/0.49 ipcrm: permission denied for id (582451319)
% 0.19/0.50 ipcrm: permission denied for id (584843384)
% 0.19/0.50 ipcrm: permission denied for id (582549625)
% 0.19/0.50 ipcrm: permission denied for id (582582394)
% 0.19/0.50 ipcrm: permission denied for id (582713470)
% 0.36/0.64 % (12846)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 (2998ds/37Mi)
% 0.36/0.64 % (12861)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 0.36/0.65 % (12851)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.36/0.65 % (12851)Instruction limit reached!
% 0.36/0.65 % (12851)------------------------------
% 0.36/0.65 % (12851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.36/0.65 % (12867)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 (2998ds/467Mi)
% 0.36/0.65 % (12853)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 (2998ds/51Mi)
% 0.36/0.65 % (12851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.36/0.65 % (12851)Termination reason: Unknown
% 0.36/0.65 % (12851)Termination phase: Saturation
% 0.36/0.65
% 0.36/0.65 % (12851)Memory used [KB]: 5628
% 0.36/0.65 % (12851)Time elapsed: 0.086 s
% 0.36/0.65 % (12851)Instructions burned: 8 (million)
% 0.36/0.65 % (12851)------------------------------
% 0.36/0.65 % (12851)------------------------------
% 0.36/0.66 % (12859)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 (2998ds/75Mi)
% 0.36/0.66 % (12850)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.36/0.66 % (12869)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 0.36/0.67 % (12866)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 (2998ds/498Mi)
% 0.36/0.67 % (12844)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 (2998ds/191324Mi)
% 0.36/0.68 % (12859)First to succeed.
% 0.41/0.69 % (12845)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.41/0.69 % (12865)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 0.41/0.69 % (12859)Refutation found. Thanks to Tanya!
% 0.41/0.69 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.69 % (12859)------------------------------
% 0.41/0.69 % (12859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.41/0.69 % (12859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.41/0.69 % (12859)Termination reason: Refutation
% 0.41/0.69
% 0.41/0.69 % (12859)Memory used [KB]: 1407
% 0.41/0.69 % (12859)Time elapsed: 0.122 s
% 0.41/0.69 % (12859)Instructions burned: 17 (million)
% 0.41/0.69 % (12859)------------------------------
% 0.41/0.69 % (12859)------------------------------
% 0.41/0.69 % (12710)Success in time 0.341 s
%------------------------------------------------------------------------------