TSTP Solution File: SET694+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET694+4 : TPTP v8.2.0. Released v2.2.0.
% 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 : n027.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 : Tue May 21 03:12:52 EDT 2024
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 82 ( 41 ~; 32 |; 0 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1264,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f404,f1263]) ).
fof(f1263,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1262,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f1260,f380]) ).
fof(f380,plain,
~ member(sK2(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),union(sK0,sK1)),sK0),
inference(unit_resulting_resolution,[],[f39,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f39,plain,
~ member(sK2(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),union(sK0,sK1)),union(sK0,sK1)),
inference(unit_resulting_resolution,[],[f34,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f34,plain,
~ subset(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),union(sK0,sK1)),
inference(unit_resulting_resolution,[],[f28,f19]) ).
fof(f19,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( member(X2,power_set(X0))
<=> subset(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_set) ).
fof(f28,plain,
~ member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(union(sK0,sK1))),
inference(unit_resulting_resolution,[],[f18,f23]) ).
fof(f18,plain,
~ subset(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
? [X0,X1] : ~ subset(union(power_set(X0),power_set(X1)),power_set(union(X0,X1))),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] : subset(union(power_set(X0),power_set(X1)),power_set(union(X0,X1))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1] : subset(union(power_set(X0),power_set(X1)),power_set(union(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI22) ).
fof(f1260,plain,
( member(sK2(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),union(sK0,sK1)),sK0)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f405,f38,f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
member(sK2(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),union(sK0,sK1)),sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1)))),
inference(unit_resulting_resolution,[],[f34,f22]) ).
fof(f22,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f405,plain,
( subset(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),sK0)
| ~ spl3_1 ),
inference(unit_resulting_resolution,[],[f48,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f48,plain,
( member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(sK0))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_1
<=> member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f404,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f391,f79]) ).
fof(f79,plain,
( member(sK2(sK2(power_set(sK1),power_set(union(sK0,sK1))),union(sK0,sK1)),sK2(power_set(sK1),power_set(union(sK0,sK1))))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f74,f22]) ).
fof(f74,plain,
( ~ subset(sK2(power_set(sK1),power_set(union(sK0,sK1))),union(sK0,sK1))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f60,f19]) ).
fof(f60,plain,
( ~ member(sK2(power_set(sK1),power_set(union(sK0,sK1))),power_set(union(sK0,sK1)))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f57,f23]) ).
fof(f57,plain,
( ~ subset(power_set(sK1),power_set(union(sK0,sK1)))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f28,f52,f21]) ).
fof(f52,plain,
( member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_2
<=> member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f391,plain,
( ~ member(sK2(sK2(power_set(sK1),power_set(union(sK0,sK1))),union(sK0,sK1)),sK2(power_set(sK1),power_set(union(sK0,sK1))))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f375,f71]) ).
fof(f71,plain,
( ! [X0] :
( ~ member(X0,sK2(power_set(sK1),power_set(union(sK0,sK1))))
| member(X0,sK1) )
| ~ spl3_2 ),
inference(resolution,[],[f66,f21]) ).
fof(f66,plain,
( subset(sK2(power_set(sK1),power_set(union(sK0,sK1))),sK1)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f59,f20]) ).
fof(f59,plain,
( member(sK2(power_set(sK1),power_set(union(sK0,sK1))),power_set(sK1))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f57,f22]) ).
fof(f375,plain,
( ~ member(sK2(sK2(power_set(sK1),power_set(union(sK0,sK1))),union(sK0,sK1)),sK1)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f80,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f80,plain,
( ~ member(sK2(sK2(power_set(sK1),power_set(union(sK0,sK1))),union(sK0,sK1)),union(sK0,sK1))
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f74,f23]) ).
fof(f53,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f44,f50,f46]) ).
fof(f44,plain,
( member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(sK1))
| member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),power_set(sK0)) ),
inference(resolution,[],[f27,f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
member(sK2(union(power_set(sK0),power_set(sK1)),power_set(union(sK0,sK1))),union(power_set(sK0),power_set(sK1))),
inference(unit_resulting_resolution,[],[f18,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET694+4 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 12:04:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ 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/benchmark/theBenchmark.p
% 0.73/0.91 % (15013)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 theBenchmark for (2994ds/34Mi)
% 0.73/0.91 % (15015)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.91 % (15016)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.91 % (15014)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 theBenchmark for (2994ds/51Mi)
% 0.73/0.91 % (15017)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 theBenchmark for (2994ds/34Mi)
% 0.73/0.91 % (15018)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.91 % (15019)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 theBenchmark for (2994ds/83Mi)
% 0.73/0.91 % (15020)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.91 % (15018)Refutation not found, incomplete strategy% (15018)------------------------------
% 0.73/0.91 % (15018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (15018)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (15018)Memory used [KB]: 967
% 0.73/0.91 % (15018)Time elapsed: 0.002 s
% 0.73/0.91 % (15018)Instructions burned: 2 (million)
% 0.73/0.91 % (15017)Refutation not found, incomplete strategy% (15017)------------------------------
% 0.73/0.91 % (15017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (15017)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91 % (15018)------------------------------
% 0.73/0.91 % (15018)------------------------------
% 0.73/0.91
% 0.73/0.91 % (15017)Memory used [KB]: 1042
% 0.73/0.91 % (15017)Time elapsed: 0.003 s
% 0.73/0.91 % (15017)Instructions burned: 3 (million)
% 0.73/0.91 % (15017)------------------------------
% 0.73/0.91 % (15017)------------------------------
% 0.73/0.91 % (15020)Refutation not found, incomplete strategy% (15020)------------------------------
% 0.73/0.91 % (15020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (15020)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91
% 0.73/0.91 % (15020)Memory used [KB]: 985
% 0.73/0.91 % (15020)Time elapsed: 0.002 s
% 0.73/0.91 % (15020)Instructions burned: 2 (million)
% 0.73/0.91 % (15020)------------------------------
% 0.73/0.91 % (15020)------------------------------
% 0.76/0.91 % (15022)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 theBenchmark for (2994ds/50Mi)
% 0.76/0.91 % (15021)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 theBenchmark for (2994ds/55Mi)
% 0.76/0.91 % (15023)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.92 % (15016)Instruction limit reached!
% 0.76/0.92 % (15016)------------------------------
% 0.76/0.92 % (15016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (15016)Termination reason: Unknown
% 0.76/0.92 % (15016)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (15016)Memory used [KB]: 1296
% 0.76/0.92 % (15016)Time elapsed: 0.019 s
% 0.76/0.92 % (15016)Instructions burned: 34 (million)
% 0.76/0.92 % (15016)------------------------------
% 0.76/0.92 % (15016)------------------------------
% 0.76/0.92 % (15013)Instruction limit reached!
% 0.76/0.92 % (15013)------------------------------
% 0.76/0.92 % (15013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (15013)Termination reason: Unknown
% 0.76/0.92 % (15013)Termination phase: Saturation
% 0.76/0.92
% 0.76/0.92 % (15013)Memory used [KB]: 1209
% 0.76/0.92 % (15013)Time elapsed: 0.020 s
% 0.76/0.92 % (15013)Instructions burned: 34 (million)
% 0.76/0.92 % (15013)------------------------------
% 0.76/0.92 % (15013)------------------------------
% 0.76/0.93 % (15024)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 theBenchmark for (2994ds/52Mi)
% 0.76/0.93 % (15025)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 theBenchmark for (2994ds/518Mi)
% 0.76/0.93 % (15025)Refutation not found, incomplete strategy% (15025)------------------------------
% 0.76/0.93 % (15025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (15025)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.93
% 0.76/0.93 % (15019)First to succeed.
% 0.76/0.93 % (15025)Memory used [KB]: 1041
% 0.76/0.93 % (15025)Time elapsed: 0.003 s
% 0.76/0.93 % (15025)Instructions burned: 3 (million)
% 0.76/0.93 % (15025)------------------------------
% 0.76/0.93 % (15025)------------------------------
% 0.76/0.93 % (15019)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15012"
% 0.76/0.93 % (15019)Refutation found. Thanks to Tanya!
% 0.76/0.93 % SZS status Theorem for theBenchmark
% 0.76/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.76/0.93 % (15019)------------------------------
% 0.76/0.93 % (15019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (15019)Termination reason: Refutation
% 0.76/0.93
% 0.76/0.93 % (15019)Memory used [KB]: 1435
% 0.76/0.93 % (15019)Time elapsed: 0.026 s
% 0.76/0.93 % (15019)Instructions burned: 44 (million)
% 0.76/0.93 % (15012)Success in time 0.563 s
% 0.76/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------