TSTP Solution File: CSR086+5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR086+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Sun May 5 05:02:16 EDT 2024
% Result : Theorem 99.54s 14.91s
% Output : Refutation 99.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 46 ~; 39 |; 20 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 60 ( 50 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238310,plain,
$false,
inference(unit_resulting_resolution,[],[f116313,f43340,f40595,f59994]) ).
fof(f59994,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| s__instance(X2,X1) ),
inference(subsumption_resolution,[],[f59993,f54693]) ).
fof(f54693,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f27066]) ).
fof(f27066,plain,
! [X0,X1] :
( ( s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f19266]) ).
fof(f19266,plain,
! [X0,X1] :
( s__subclass(X0,X1)
=> ( s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X5,X6] :
( s__subclass(X5,X6)
=> ( s__instance(X6,s__SetOrClass)
& s__instance(X5,s__SetOrClass) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).
fof(f59993,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| ~ s__instance(X1,s__SetOrClass) ),
inference(subsumption_resolution,[],[f58341,f54692]) ).
fof(f54692,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f27066]) ).
fof(f58341,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f31893]) ).
fof(f31893,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass) ),
inference(flattening,[],[f31892]) ).
fof(f31892,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__instance(X2,X0)
| ~ s__subclass(X0,X1)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass) ),
inference(ennf_transformation,[],[f21761]) ).
fof(f21761,plain,
! [X0,X1,X2] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
=> ( ( s__instance(X2,X0)
& s__subclass(X0,X1) )
=> s__instance(X2,X1) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X5,X6,X7] :
( ( s__instance(X5,s__SetOrClass)
& s__instance(X6,s__SetOrClass) )
=> ( ( s__instance(X7,X5)
& s__subclass(X5,X6) )
=> s__instance(X7,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).
fof(f40595,plain,
s__subclass(s__GraphLoop,s__GraphArc),
inference(cnf_transformation,[],[f4773]) ).
fof(f4773,axiom,
s__subclass(s__GraphLoop,s__GraphArc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4786) ).
fof(f43340,plain,
s__instance(s__Arc13_1,s__GraphLoop),
inference(cnf_transformation,[],[f16749]) ).
fof(f16749,axiom,
s__instance(s__Arc13_1,s__GraphLoop),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).
fof(f116313,plain,
~ s__instance(s__Arc13_1,s__GraphArc),
inference(unit_resulting_resolution,[],[f116312,f50521]) ).
fof(f50521,plain,
! [X0] :
( ~ s__instance(X0,s__GraphArc)
| sP82(X0) ),
inference(cnf_transformation,[],[f32620]) ).
fof(f32620,plain,
! [X0] :
( sP82(X0)
| ~ s__instance(X0,s__GraphArc) ),
inference(definition_folding,[],[f24068,f32619,f32618]) ).
fof(f32618,plain,
! [X0] :
( sP81(X0)
<=> ? [X1] :
( s__links(X1,X1,X0)
& s__instance(X1,s__GraphNode) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f32619,plain,
! [X0] :
( ( s__instance(X0,s__GraphLoop)
<=> sP81(X0) )
| ~ sP82(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f24068,plain,
! [X0] :
( ( s__instance(X0,s__GraphLoop)
<=> ? [X1] :
( s__links(X1,X1,X0)
& s__instance(X1,s__GraphNode) ) )
| ~ s__instance(X0,s__GraphArc) ),
inference(ennf_transformation,[],[f17668]) ).
fof(f17668,plain,
! [X0] :
( s__instance(X0,s__GraphArc)
=> ( s__instance(X0,s__GraphLoop)
<=> ? [X1] :
( s__links(X1,X1,X0)
& s__instance(X1,s__GraphNode) ) ) ),
inference(rectify,[],[f4776]) ).
fof(f4776,axiom,
! [X184] :
( s__instance(X184,s__GraphArc)
=> ( s__instance(X184,s__GraphLoop)
<=> ? [X185] :
( s__links(X185,X185,X184)
& s__instance(X185,s__GraphNode) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_4789) ).
fof(f116312,plain,
~ sP82(s__Arc13_1),
inference(unit_resulting_resolution,[],[f43340,f116310,f50516]) ).
fof(f50516,plain,
! [X0] :
( ~ s__instance(X0,s__GraphLoop)
| sP81(X0)
| ~ sP82(X0) ),
inference(cnf_transformation,[],[f34698]) ).
fof(f34698,plain,
! [X0] :
( ( ( s__instance(X0,s__GraphLoop)
| ~ sP81(X0) )
& ( sP81(X0)
| ~ s__instance(X0,s__GraphLoop) ) )
| ~ sP82(X0) ),
inference(nnf_transformation,[],[f32619]) ).
fof(f116310,plain,
~ sP81(s__Arc13_1),
inference(unit_resulting_resolution,[],[f37911,f50519]) ).
fof(f50519,plain,
! [X0] :
( ~ sP81(X0)
| s__links(sK1185(X0),sK1185(X0),X0) ),
inference(cnf_transformation,[],[f34702]) ).
fof(f34702,plain,
! [X0] :
( ( sP81(X0)
| ! [X1] :
( ~ s__links(X1,X1,X0)
| ~ s__instance(X1,s__GraphNode) ) )
& ( ( s__links(sK1185(X0),sK1185(X0),X0)
& s__instance(sK1185(X0),s__GraphNode) )
| ~ sP81(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1185])],[f34700,f34701]) ).
fof(f34701,plain,
! [X0] :
( ? [X2] :
( s__links(X2,X2,X0)
& s__instance(X2,s__GraphNode) )
=> ( s__links(sK1185(X0),sK1185(X0),X0)
& s__instance(sK1185(X0),s__GraphNode) ) ),
introduced(choice_axiom,[]) ).
fof(f34700,plain,
! [X0] :
( ( sP81(X0)
| ! [X1] :
( ~ s__links(X1,X1,X0)
| ~ s__instance(X1,s__GraphNode) ) )
& ( ? [X2] :
( s__links(X2,X2,X0)
& s__instance(X2,s__GraphNode) )
| ~ sP81(X0) ) ),
inference(rectify,[],[f34699]) ).
fof(f34699,plain,
! [X0] :
( ( sP81(X0)
| ! [X1] :
( ~ s__links(X1,X1,X0)
| ~ s__instance(X1,s__GraphNode) ) )
& ( ? [X1] :
( s__links(X1,X1,X0)
& s__instance(X1,s__GraphNode) )
| ~ sP81(X0) ) ),
inference(nnf_transformation,[],[f32618]) ).
fof(f37911,plain,
! [X0] : ~ s__links(X0,X0,s__Arc13_1),
inference(cnf_transformation,[],[f22353]) ).
fof(f22353,plain,
! [X0] : ~ s__links(X0,X0,s__Arc13_1),
inference(ennf_transformation,[],[f16752]) ).
fof(f16752,plain,
~ ? [X0] : s__links(X0,X0,s__Arc13_1),
inference(rectify,[],[f16751]) ).
fof(f16751,negated_conjecture,
~ ? [X1222] : s__links(X1222,X1222,s__Arc13_1),
inference(negated_conjecture,[],[f16750]) ).
fof(f16750,conjecture,
? [X1222] : s__links(X1222,X1222,s__Arc13_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR086+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:11:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (9094)Running in auto input_syntax mode. Trying TPTP
% 0.57/0.79 % (9101)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.57/0.79 % (9097)WARNING: value z3 for option sas not known
% 0.57/0.79 % (9095)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.57/0.79 % (9096)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.57/0.79 % (9097)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.57/0.79 % (9098)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.57/0.79 % (9099)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.57/0.79 % (9100)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 18.17/3.34 Detected minimum model sizes of [447]
% 18.17/3.34 Detected maximum model sizes of [max]
% 18.17/3.34 Cannot represent all propositional literals internally
% 18.17/3.34 % (9096)Refutation not found, incomplete strategy% (9096)------------------------------
% 18.17/3.34 % (9096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.17/3.34 % (9096)Termination reason: Refutation not found, incomplete strategy
% 18.17/3.34
% 18.17/3.34 % (9096)Memory used [KB]: 132453
% 18.17/3.34 % (9096)Time elapsed: 2.552 s
% 18.17/3.34 % (9096)Instructions burned: 6972 (million)
% 18.17/3.35 % (9096)------------------------------
% 18.17/3.35 % (9096)------------------------------
% 18.17/3.38 % (9109)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 18.77/3.42 Detected minimum model sizes of [447]
% 18.77/3.42 Detected maximum model sizes of [max]
% 18.77/3.42 Cannot represent all propositional literals internally
% 18.77/3.42 % (9098)Refutation not found, incomplete strategy% (9098)------------------------------
% 18.77/3.42 % (9098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.77/3.42 % (9098)Termination reason: Refutation not found, incomplete strategy
% 18.77/3.42
% 18.77/3.42 % (9098)Memory used [KB]: 130698
% 18.77/3.42 % (9098)Time elapsed: 2.627 s
% 18.77/3.42 % (9098)Instructions burned: 6576 (million)
% 18.77/3.43 % (9098)------------------------------
% 18.77/3.43 % (9098)------------------------------
% 18.77/3.45 % (9110)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 33.45/5.50 Detected minimum model sizes of [447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447]
% 33.45/5.50 Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,4,max,7,max,max]
% 33.45/5.50 Cannot represent all propositional literals internally
% 33.45/5.50 % (9109)Refutation not found, incomplete strategy% (9109)------------------------------
% 33.45/5.50 % (9109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.45/5.50 % (9109)Termination reason: Refutation not found, incomplete strategy
% 33.45/5.50
% 33.45/5.50 % (9109)Memory used [KB]: 118962
% 33.45/5.50 % (9109)Time elapsed: 2.114 s
% 33.45/5.50 % (9109)Instructions burned: 5383 (million)
% 33.45/5.51 % (9109)------------------------------
% 33.45/5.51 % (9109)------------------------------
% 33.45/5.55 % (9111)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 34.30/5.67 Detected minimum model sizes of [447]
% 34.30/5.67 Detected maximum model sizes of [max]
% 34.30/5.67 Cannot represent all propositional literals internally
% 34.30/5.67 % (9095)Refutation not found, incomplete strategy% (9095)------------------------------
% 34.30/5.67 % (9095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 34.30/5.67 % (9095)Termination reason: Refutation not found, incomplete strategy
% 34.30/5.67
% 34.30/5.67 % (9095)Memory used [KB]: 268790
% 34.30/5.67 % (9095)Time elapsed: 4.868 s
% 34.30/5.67 % (9095)Instructions burned: 12920 (million)
% 34.30/5.70 % (9095)------------------------------
% 34.30/5.70 % (9095)------------------------------
% 34.86/5.74 % (9112)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 98.67/14.89 % (9101)First to succeed.
% 98.67/14.90 % (9101)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9094"
% 99.54/14.91 % (9101)Refutation found. Thanks to Tanya!
% 99.54/14.91 % SZS status Theorem for theBenchmark
% 99.54/14.91 % SZS output start Proof for theBenchmark
% See solution above
% 99.54/14.91 % (9101)------------------------------
% 99.54/14.91 % (9101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 99.54/14.91 % (9101)Termination reason: Refutation
% 99.54/14.91
% 99.54/14.91 % (9101)Memory used [KB]: 103087
% 99.54/14.91 % (9101)Time elapsed: 14.109 s
% 99.54/14.91 % (9101)Instructions burned: 46097 (million)
% 99.54/14.91 % (9094)Success in time 14.527 s
%------------------------------------------------------------------------------