TSTP Solution File: SET014-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET014-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 09:02:47 EDT 2024
% Result : Unsatisfiable 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 83 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 35 ~; 34 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f531,plain,
$false,
inference(avatar_sat_refutation,[],[f418,f508,f515,f517,f523,f530]) ).
fof(f530,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f528,plain,
( $false
| ~ spl0_29 ),
inference(resolution,[],[f526,f173]) ).
fof(f173,plain,
~ subset(complement(intersection(complement(as),complement(bs))),cs),
inference(definition_unfolding,[],[f144,f33]) ).
fof(f33,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',union) ).
fof(f144,axiom,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',prove_a_union_b_subset_of_c) ).
fof(f526,plain,
( subset(complement(intersection(complement(as),complement(bs))),cs)
| ~ spl0_29 ),
inference(resolution,[],[f524,f69]) ).
fof(f69,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',subset3) ).
fof(f524,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| ~ spl0_29 ),
inference(resolution,[],[f522,f245]) ).
fof(f245,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,cs) ),
inference(resolution,[],[f67,f143]) ).
fof(f143,axiom,
subset(bs,cs),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',b_subset_of_c) ).
fof(f67,axiom,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',subset1) ).
fof(f522,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),bs)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl0_29
<=> member(f17(complement(intersection(complement(as),complement(bs))),cs),bs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f523,plain,
( spl0_29
| ~ spl0_28
| spl0_18 ),
inference(avatar_split_clause,[],[f518,f411,f505,f520]) ).
fof(f505,plain,
( spl0_28
<=> little_set(f17(complement(intersection(complement(as),complement(bs))),cs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f411,plain,
( spl0_18
<=> member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f518,plain,
( ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs))
| member(f17(complement(intersection(complement(as),complement(bs))),cs),bs)
| spl0_18 ),
inference(resolution,[],[f413,f32]) ).
fof(f32,axiom,
! [X3,X0] :
( member(X3,complement(X0))
| ~ little_set(X3)
| member(X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',complement2) ).
fof(f413,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs))
| spl0_18 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f517,plain,
spl0_28,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl0_28 ),
inference(resolution,[],[f507,f229]) ).
fof(f229,plain,
little_set(f17(complement(intersection(complement(as),complement(bs))),cs)),
inference(resolution,[],[f227,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',a2) ).
fof(f227,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))),
inference(resolution,[],[f68,f173]) ).
fof(f68,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',subset2) ).
fof(f507,plain,
( ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs))
| spl0_28 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f515,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| ~ spl0_27 ),
inference(resolution,[],[f511,f173]) ).
fof(f511,plain,
( subset(complement(intersection(complement(as),complement(bs))),cs)
| ~ spl0_27 ),
inference(resolution,[],[f509,f69]) ).
fof(f509,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| ~ spl0_27 ),
inference(resolution,[],[f503,f244]) ).
fof(f244,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(resolution,[],[f67,f142]) ).
fof(f142,axiom,
subset(as,cs),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',a_subset_of_c) ).
fof(f503,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),as)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl0_27
<=> member(f17(complement(intersection(complement(as),complement(bs))),cs),as) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f508,plain,
( spl0_27
| ~ spl0_28
| spl0_19 ),
inference(avatar_split_clause,[],[f499,f415,f505,f501]) ).
fof(f415,plain,
( spl0_19
<=> member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f499,plain,
( ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs))
| member(f17(complement(intersection(complement(as),complement(bs))),cs),as)
| spl0_19 ),
inference(resolution,[],[f417,f32]) ).
fof(f417,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as))
| spl0_19 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f418,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f367,f415,f411]) ).
fof(f367,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)) ),
inference(resolution,[],[f30,f228]) ).
fof(f228,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),intersection(complement(as),complement(bs))),
inference(resolution,[],[f227,f31]) ).
fof(f31,axiom,
! [X3,X0] :
( ~ member(X3,complement(X0))
| ~ member(X3,X0) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',complement1) ).
fof(f30,axiom,
! [X3,X0,X1] :
( member(X3,intersection(X0,X1))
| ~ member(X3,X0)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET014-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:20:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.U6m1AmTHcx/Vampire---4.8_23867
% 0.57/0.78 % (24277)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.57/0.78 % (24277)Refutation not found, incomplete strategy% (24277)------------------------------
% 0.57/0.78 % (24277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (24277)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (24277)Memory used [KB]: 1119
% 0.57/0.78 % (24277)Time elapsed: 0.002 s
% 0.57/0.78 % (24277)Instructions burned: 2 (million)
% 0.57/0.78 % (24272)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.78 % (24271)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.57/0.78 % (24273)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.78 % (24270)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.78 % (24277)------------------------------
% 0.57/0.78 % (24277)------------------------------
% 0.57/0.78 % (24275)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.78 % (24274)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.78 % (24276)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.57/0.78 % (24273)Refutation not found, incomplete strategy% (24273)------------------------------
% 0.57/0.78 % (24273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (24273)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78 % (24270)Refutation not found, incomplete strategy% (24270)------------------------------
% 0.57/0.78 % (24270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (24270)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (24275)Refutation not found, incomplete strategy% (24275)------------------------------
% 0.57/0.78 % (24275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (24270)Memory used [KB]: 1133
% 0.57/0.78 % (24270)Time elapsed: 0.003 s
% 0.57/0.78 % (24275)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78 % (24270)Instructions burned: 2 (million)
% 0.57/0.78
% 0.57/0.78 % (24275)Memory used [KB]: 1131
% 0.57/0.78 % (24275)Time elapsed: 0.003 s
% 0.57/0.78 % (24275)Instructions burned: 2 (million)
% 0.57/0.78
% 0.57/0.78 % (24273)Memory used [KB]: 1118
% 0.57/0.78 % (24273)Time elapsed: 0.003 s
% 0.57/0.78 % (24273)Instructions burned: 2 (million)
% 0.57/0.78 % (24270)------------------------------
% 0.57/0.78 % (24270)------------------------------
% 0.57/0.78 % (24275)------------------------------
% 0.57/0.78 % (24275)------------------------------
% 0.57/0.78 % (24273)------------------------------
% 0.57/0.78 % (24273)------------------------------
% 0.57/0.78 % (24276)Refutation not found, incomplete strategy% (24276)------------------------------
% 0.57/0.78 % (24276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (24276)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (24279)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.57/0.78 % (24276)Memory used [KB]: 1151
% 0.57/0.78 % (24276)Time elapsed: 0.004 s
% 0.57/0.78 % (24276)Instructions burned: 4 (million)
% 0.62/0.78 % (24276)------------------------------
% 0.62/0.78 % (24276)------------------------------
% 0.62/0.78 % (24279)Refutation not found, incomplete strategy% (24279)------------------------------
% 0.62/0.78 % (24279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (24279)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78
% 0.62/0.78 % (24279)Memory used [KB]: 1118
% 0.62/0.78 % (24279)Time elapsed: 0.001 s
% 0.62/0.78 % (24279)Instructions burned: 2 (million)
% 0.62/0.78 % (24279)------------------------------
% 0.62/0.78 % (24279)------------------------------
% 0.62/0.78 % (24281)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.78 % (24282)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.78 % (24283)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.78 % (24286)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.78 % (24285)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.78 % (24282)Refutation not found, incomplete strategy% (24282)------------------------------
% 0.62/0.78 % (24282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (24282)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78
% 0.62/0.78 % (24282)Memory used [KB]: 1139
% 0.62/0.78 % (24282)Time elapsed: 0.004 s
% 0.62/0.78 % (24282)Instructions burned: 3 (million)
% 0.62/0.78 % (24282)------------------------------
% 0.62/0.78 % (24282)------------------------------
% 0.62/0.79 % (24285)Refutation not found, incomplete strategy% (24285)------------------------------
% 0.62/0.79 % (24285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (24285)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (24285)Memory used [KB]: 1138
% 0.62/0.79 % (24285)Time elapsed: 0.005 s
% 0.62/0.79 % (24285)Instructions burned: 4 (million)
% 0.62/0.79 % (24285)------------------------------
% 0.62/0.79 % (24285)------------------------------
% 0.62/0.79 % (24291)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.79 % (24271)First to succeed.
% 0.62/0.79 % (24292)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.79 % (24271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24099"
% 0.62/0.79 % (24271)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (24271)------------------------------
% 0.62/0.79 % (24271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (24271)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (24271)Memory used [KB]: 1253
% 0.62/0.79 % (24271)Time elapsed: 0.016 s
% 0.62/0.79 % (24271)Instructions burned: 23 (million)
% 0.62/0.79 % (24099)Success in time 0.418 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------