TSTP Solution File: SET084+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET084+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 03:08:38 EDT 2024
% Result : Theorem 0.49s 0.72s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 85 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 29 ~; 25 |; 20 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f526,plain,
$false,
inference(avatar_sat_refutation,[],[f508,f520,f525]) ).
fof(f525,plain,
~ spl8_19,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f524,plain,
( $false
| ~ spl8_19 ),
inference(trivial_inequality_removal,[],[f523]) ).
fof(f523,plain,
( sK7 != sK7
| ~ spl8_19 ),
inference(superposition,[],[f225,f506]) ).
fof(f506,plain,
( sK6 = sK7
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl8_19
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f225,plain,
sK6 != sK7,
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( sK6 != sK7
& member(sK7,universal_class)
& singleton(sK6) = singleton(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f85,f134]) ).
fof(f134,plain,
( ? [X0,X1] :
( X0 != X1
& member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> ( sK6 != sK7
& member(sK7,universal_class)
& singleton(sK6) = singleton(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
? [X0,X1] :
( X0 != X1
& member(X1,universal_class)
& singleton(X0) = singleton(X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
? [X0,X1] :
( X0 != X1
& member(X1,universal_class)
& singleton(X0) = singleton(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( ( member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] :
( ( member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_identified_by_element2) ).
fof(f520,plain,
spl8_18,
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| spl8_18 ),
inference(resolution,[],[f502,f224]) ).
fof(f224,plain,
member(sK7,universal_class),
inference(cnf_transformation,[],[f135]) ).
fof(f502,plain,
( ~ member(sK7,universal_class)
| spl8_18 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl8_18
<=> member(sK7,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f508,plain,
( ~ spl8_18
| spl8_19 ),
inference(avatar_split_clause,[],[f495,f504,f500]) ).
fof(f495,plain,
( sK6 = sK7
| ~ member(sK7,universal_class) ),
inference(resolution,[],[f493,f267]) ).
fof(f267,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X1
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f493,plain,
! [X0] :
( ~ member(X0,unordered_pair(sK7,sK7))
| sK6 = X0 ),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f492,plain,
! [X0] :
( ~ member(X0,unordered_pair(sK7,sK7))
| sK6 = X0
| sK6 = X0 ),
inference(superposition,[],[f144,f263]) ).
fof(f263,plain,
unordered_pair(sK6,sK6) = unordered_pair(sK7,sK7),
inference(definition_unfolding,[],[f223,f148,f148]) ).
fof(f148,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f223,plain,
singleton(sK6) = singleton(sK7),
inference(cnf_transformation,[],[f135]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET084+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 11:44:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.72 % (29926)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 (2996ds/51Mi)
% 0.49/0.72 % (29927)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.49/0.72 % (29928)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.49/0.72 % (29929)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 (2996ds/34Mi)
% 0.49/0.72 % (29930)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.49/0.72 % (29931)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 (2996ds/83Mi)
% 0.49/0.72 % (29932)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 (2996ds/56Mi)
% 0.49/0.72 % (29925)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 (2996ds/34Mi)
% 0.49/0.72 % (29932)Refutation not found, incomplete strategy% (29932)------------------------------
% 0.49/0.72 % (29932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29928)Refutation not found, incomplete strategy% (29928)------------------------------
% 0.49/0.72 % (29928)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29928)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (29928)Memory used [KB]: 1044
% 0.49/0.72 % (29928)Time elapsed: 0.002 s
% 0.49/0.72 % (29928)Instructions burned: 2 (million)
% 0.49/0.72 % (29930)Refutation not found, incomplete strategy% (29930)------------------------------
% 0.49/0.72 % (29930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29932)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (29932)Memory used [KB]: 1044
% 0.49/0.72 % (29932)Time elapsed: 0.002 s
% 0.49/0.72 % (29932)Instructions burned: 2 (million)
% 0.49/0.72 % (29930)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (29930)Memory used [KB]: 1044
% 0.49/0.72 % (29930)Time elapsed: 0.002 s
% 0.49/0.72 % (29930)Instructions burned: 2 (million)
% 0.49/0.72 % (29928)------------------------------
% 0.49/0.72 % (29928)------------------------------
% 0.49/0.72 % (29932)------------------------------
% 0.49/0.72 % (29932)------------------------------
% 0.49/0.72 % (29930)------------------------------
% 0.49/0.72 % (29930)------------------------------
% 0.49/0.72 % (29931)Refutation not found, incomplete strategy% (29931)------------------------------
% 0.49/0.72 % (29931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29931)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (29931)Memory used [KB]: 1046
% 0.49/0.72 % (29931)Time elapsed: 0.003 s
% 0.49/0.72 % (29931)Instructions burned: 2 (million)
% 0.49/0.72 % (29931)------------------------------
% 0.49/0.72 % (29931)------------------------------
% 0.49/0.72 % (29935)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 (2996ds/208Mi)
% 0.49/0.72 % (29934)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 (2996ds/50Mi)
% 0.49/0.72 % (29933)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 (2996ds/55Mi)
% 0.49/0.72 % (29926)First to succeed.
% 0.49/0.72 % (29926)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29924"
% 0.49/0.72 % (29927)Also succeeded, but the first one will report.
% 0.49/0.72 % (29933)Refutation not found, incomplete strategy% (29933)------------------------------
% 0.49/0.72 % (29933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29935)Refutation not found, incomplete strategy% (29935)------------------------------
% 0.49/0.72 % (29935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29935)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (29935)Memory used [KB]: 1047
% 0.49/0.72 % (29935)Time elapsed: 0.002 s
% 0.49/0.72 % (29935)Instructions burned: 2 (million)
% 0.49/0.72 % (29933)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (29933)Memory used [KB]: 1045
% 0.49/0.72 % (29933)Time elapsed: 0.002 s
% 0.49/0.72 % (29933)Instructions burned: 2 (million)
% 0.49/0.72 % (29935)------------------------------
% 0.49/0.72 % (29935)------------------------------
% 0.49/0.72 % (29926)Refutation found. Thanks to Tanya!
% 0.49/0.72 % SZS status Theorem for theBenchmark
% 0.49/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.72 % (29926)------------------------------
% 0.49/0.72 % (29926)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (29926)Termination reason: Refutation
% 0.49/0.72
% 0.49/0.72 % (29926)Memory used [KB]: 1227
% 0.49/0.72 % (29926)Time elapsed: 0.007 s
% 0.49/0.72 % (29926)Instructions burned: 15 (million)
% 0.49/0.72 % (29924)Success in time 0.364 s
% 0.49/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------