TSTP Solution File: SWC133+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC133+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 : n011.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 18:41:56 EDT 2022
% Result : Theorem 1.59s 0.57s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 140 ( 35 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 157 ( 50 ~; 24 |; 66 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 41 ( 17 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f649,plain,
$false,
inference(avatar_sat_refutation,[],[f617,f647]) ).
fof(f647,plain,
~ spl57_1,
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl57_1 ),
inference(subsumption_resolution,[],[f645,f447]) ).
fof(f447,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f645,plain,
( ~ cyclefreeP(nil)
| ~ spl57_1 ),
inference(backward_demodulation,[],[f555,f640]) ).
fof(f640,plain,
( nil = sK30
| ~ spl57_1 ),
inference(subsumption_resolution,[],[f638,f557]) ).
fof(f557,plain,
ssList(sK30),
inference(definition_unfolding,[],[f462,f464]) ).
fof(f464,plain,
sK28 = sK30,
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ssList(sK27)
& sK29 = sK27
& ~ neq(sK30,nil)
& ~ cyclefreeP(sK28)
& ssList(sK30)
& sK28 = sK30
& ssList(sK29)
& ssList(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f208,f293,f292,f291,f290]) ).
fof(f290,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK27)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( sK27 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sK27 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( sK27 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(sK28)
& ssList(X3)
& sK28 = X3 )
& ssList(X2) )
& ssList(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
( ? [X2] :
( ? [X3] :
( sK27 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(sK28)
& ssList(X3)
& sK28 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( sK29 = sK27
& ~ neq(X3,nil)
& ~ cyclefreeP(sK28)
& ssList(X3)
& sK28 = X3 )
& ssList(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
( ? [X3] :
( sK29 = sK27
& ~ neq(X3,nil)
& ~ cyclefreeP(sK28)
& ssList(X3)
& sK28 = X3 )
=> ( sK29 = sK27
& ~ neq(sK30,nil)
& ~ cyclefreeP(sK28)
& ssList(sK30)
& sK28 = sK30 ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X3,nil)
& X1 = X3
& X0 = X2
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X3,nil)
| X1 != X3
| X0 != X2
| cyclefreeP(X1) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X3,nil)
| X1 != X3
| X0 != X2
| cyclefreeP(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f462,plain,
ssList(sK28),
inference(cnf_transformation,[],[f294]) ).
fof(f638,plain,
( ~ ssList(sK30)
| nil = sK30
| ~ spl57_1 ),
inference(resolution,[],[f635,f467]) ).
fof(f467,plain,
~ neq(sK30,nil),
inference(cnf_transformation,[],[f294]) ).
fof(f635,plain,
( ! [X0] :
( neq(X0,nil)
| ~ ssList(X0)
| nil = X0 )
| ~ spl57_1 ),
inference(resolution,[],[f594,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f594,plain,
( ssList(nil)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl57_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_1])]) ).
fof(f555,plain,
~ cyclefreeP(sK30),
inference(definition_unfolding,[],[f466,f464]) ).
fof(f466,plain,
~ cyclefreeP(sK28),
inference(cnf_transformation,[],[f294]) ).
fof(f617,plain,
spl57_1,
inference(avatar_split_clause,[],[f476,f593]) ).
fof(f476,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC133+1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.13/0.34 % Computer : n011.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 18:19:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (32067)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)
% 0.20/0.52 % (32077)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (32069)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (32069)Instruction limit reached!
% 0.20/0.52 % (32069)------------------------------
% 0.20/0.52 % (32069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32069)Termination reason: Unknown
% 0.20/0.52 % (32069)Termination phase: Naming
% 0.20/0.52
% 0.20/0.52 % (32069)Memory used [KB]: 1023
% 0.20/0.52 % (32069)Time elapsed: 0.002 s
% 0.20/0.52 % (32069)Instructions burned: 3 (million)
% 0.20/0.52 % (32069)------------------------------
% 0.20/0.52 % (32069)------------------------------
% 0.20/0.53 % (32085)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (32084)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)
% 0.20/0.53 % (32062)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (32083)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)
% 0.20/0.54 % (32075)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)
% 0.20/0.54 % (32086)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (32066)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (32068)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (32076)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)
% 0.20/0.55 % (32070)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 (2999ds/51Mi)
% 0.20/0.55 % (32068)Instruction limit reached!
% 0.20/0.55 % (32068)------------------------------
% 0.20/0.55 % (32068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32064)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (32073)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (32090)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (32072)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)
% 0.20/0.56 % (32065)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (32062)Refutation not found, incomplete strategy% (32062)------------------------------
% 0.20/0.56 % (32062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 % (32068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32068)Termination reason: Unknown
% 0.20/0.56 % (32068)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (32068)Memory used [KB]: 1279
% 0.20/0.56 % (32068)Time elapsed: 0.006 s
% 0.20/0.56 % (32068)Instructions burned: 9 (million)
% 0.20/0.56 % (32068)------------------------------
% 0.20/0.56 % (32068)------------------------------
% 0.20/0.56 % (32078)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.59/0.57 % (32080)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)
% 1.59/0.57 % (32063)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 (2999ds/37Mi)
% 1.59/0.57 % (32084)First to succeed.
% 1.59/0.57 % (32081)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.59/0.57 % (32075)Also succeeded, but the first one will report.
% 1.59/0.57 % (32084)Refutation found. Thanks to Tanya!
% 1.59/0.57 % SZS status Theorem for theBenchmark
% 1.59/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.57 % (32084)------------------------------
% 1.59/0.57 % (32084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (32084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (32084)Termination reason: Refutation
% 1.59/0.57
% 1.59/0.57 % (32084)Memory used [KB]: 5884
% 1.59/0.57 % (32084)Time elapsed: 0.134 s
% 1.59/0.57 % (32084)Instructions burned: 17 (million)
% 1.59/0.57 % (32084)------------------------------
% 1.59/0.57 % (32084)------------------------------
% 1.59/0.57 % (32060)Success in time 0.218 s
%------------------------------------------------------------------------------