TSTP Solution File: SET097-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET097-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 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 : 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 : Tue May 21 03:08:49 EDT 2024
% Result : Unsatisfiable 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 63 ( 8 unt; 0 def)
% Number of atoms : 156 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 167 ( 74 ~; 89 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f506,plain,
$false,
inference(avatar_sat_refutation,[],[f272,f299,f301,f313,f403,f505]) ).
fof(f505,plain,
( spl0_2
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f503,f269,f263,f256,f260]) ).
fof(f260,plain,
( spl0_2
<=> ! [X0] : ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f256,plain,
( spl0_1
<=> member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),x) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f263,plain,
( spl0_3
<=> member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),singleton(not_subclass_element(x,null_class))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f269,plain,
( spl0_4
<=> subclass(x,singleton(not_subclass_element(x,null_class))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f503,plain,
( ! [X0] : ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),X0)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(resolution,[],[f490,f163]) ).
fof(f163,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f490,plain,
( ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),universal_class)
| ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f489,f441]) ).
fof(f441,plain,
( ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),singleton(not_subclass_element(x,null_class)))
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f440,f142]) ).
fof(f142,axiom,
x != singleton(not_subclass_element(x,null_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_2) ).
fof(f440,plain,
( x = singleton(not_subclass_element(x,null_class))
| ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),singleton(not_subclass_element(x,null_class)))
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f436,f404]) ).
fof(f404,plain,
( member(not_subclass_element(x,null_class),x)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f257,f382]) ).
fof(f382,plain,
( not_subclass_element(x,null_class) = not_subclass_element(singleton(not_subclass_element(x,null_class)),x)
| ~ spl0_3 ),
inference(resolution,[],[f265,f125]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f265,plain,
( member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),singleton(not_subclass_element(x,null_class)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f257,plain,
( member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),x)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f436,plain,
( ~ member(not_subclass_element(x,null_class),x)
| x = singleton(not_subclass_element(x,null_class))
| ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),singleton(not_subclass_element(x,null_class)))
| ~ spl0_3 ),
inference(superposition,[],[f101,f382]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X1,X0),X0)
| X0 = X1
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality4) ).
fof(f489,plain,
( member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),singleton(not_subclass_element(x,null_class)))
| ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),universal_class)
| spl0_4 ),
inference(resolution,[],[f339,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f339,plain,
( ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),complement(singleton(not_subclass_element(x,null_class))))
| spl0_4 ),
inference(resolution,[],[f327,f192]) ).
fof(f192,plain,
! [X0] :
( ~ member(X0,x)
| ~ member(X0,complement(singleton(not_subclass_element(x,null_class)))) ),
inference(subsumption_resolution,[],[f190,f103]) ).
fof(f103,axiom,
! [X4] : ~ member(X4,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f190,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,complement(singleton(not_subclass_element(x,null_class)))) ),
inference(superposition,[],[f23,f153]) ).
fof(f153,plain,
null_class = intersection(complement(singleton(not_subclass_element(x,null_class))),x),
inference(resolution,[],[f106,f141]) ).
fof(f141,axiom,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_1) ).
fof(f106,axiom,
! [X4] :
( member(not_subclass_element(X4,null_class),X4)
| null_class = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f327,plain,
( member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),x)
| spl0_4 ),
inference(resolution,[],[f270,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f270,plain,
( ~ subclass(x,singleton(not_subclass_element(x,null_class)))
| spl0_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f403,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f402,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f401,f143]) ).
fof(f143,axiom,
null_class != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_number_of_elements_in_class_3) ).
fof(f401,plain,
( null_class = x
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f397,f103]) ).
fof(f397,plain,
( member(not_subclass_element(null_class,x),null_class)
| null_class = x
| spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f385,f98]) ).
fof(f98,axiom,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| member(not_subclass_element(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(f385,plain,
( ~ member(not_subclass_element(x,null_class),x)
| spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f258,f382]) ).
fof(f258,plain,
( ~ member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),x)
| spl0_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f313,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f311,f142]) ).
fof(f311,plain,
( x = singleton(not_subclass_element(x,null_class))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f308,f143]) ).
fof(f308,plain,
( null_class = x
| x = singleton(not_subclass_element(x,null_class))
| ~ spl0_4 ),
inference(resolution,[],[f271,f140]) ).
fof(f140,axiom,
! [X0,X1] :
( ~ subclass(X0,singleton(X1))
| null_class = X0
| singleton(X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_subsets_of_singleton) ).
fof(f271,plain,
( subclass(x,singleton(not_subclass_element(x,null_class)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f301,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f300,f260,f263]) ).
fof(f300,plain,
( member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),singleton(not_subclass_element(x,null_class)))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f291,f142]) ).
fof(f291,plain,
( member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),singleton(not_subclass_element(x,null_class)))
| x = singleton(not_subclass_element(x,null_class))
| ~ spl0_2 ),
inference(resolution,[],[f261,f98]) ).
fof(f261,plain,
( ! [X0] : ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f299,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f298,f260,f256]) ).
fof(f298,plain,
( ~ member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),x)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f290,f142]) ).
fof(f290,plain,
( x = singleton(not_subclass_element(x,null_class))
| ~ member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),x)
| ~ spl0_2 ),
inference(resolution,[],[f261,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| X0 = X1
| ~ member(not_subclass_element(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality3) ).
fof(f272,plain,
( spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f267,f263,f260,f269]) ).
fof(f267,plain,
! [X0] :
( member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),singleton(not_subclass_element(x,null_class)))
| ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),X0)
| subclass(x,singleton(not_subclass_element(x,null_class))) ),
inference(subsumption_resolution,[],[f251,f142]) ).
fof(f251,plain,
! [X0] :
( member(not_subclass_element(singleton(not_subclass_element(x,null_class)),x),singleton(not_subclass_element(x,null_class)))
| x = singleton(not_subclass_element(x,null_class))
| ~ member(not_subclass_element(x,singleton(not_subclass_element(x,null_class))),X0)
| subclass(x,singleton(not_subclass_element(x,null_class))) ),
inference(resolution,[],[f232,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f232,plain,
! [X0,X1] :
( member(not_subclass_element(x,X0),singleton(not_subclass_element(x,null_class)))
| member(not_subclass_element(X0,x),X0)
| x = X0
| ~ member(not_subclass_element(x,X0),X1) ),
inference(resolution,[],[f211,f163]) ).
fof(f211,plain,
! [X0] :
( ~ member(not_subclass_element(x,X0),universal_class)
| member(not_subclass_element(X0,x),X0)
| member(not_subclass_element(x,X0),singleton(not_subclass_element(x,null_class)))
| x = X0 ),
inference(resolution,[],[f209,f25]) ).
fof(f209,plain,
! [X0] :
( ~ member(not_subclass_element(x,X0),complement(singleton(not_subclass_element(x,null_class))))
| x = X0
| member(not_subclass_element(X0,x),X0) ),
inference(resolution,[],[f98,f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET097-7 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.06/0.14 % 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 : n005.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 12:49:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.36 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
% 0.54/0.73 % (23962)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.73 % (23963)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)
% 0.54/0.73 % (23964)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)
% 0.54/0.73 % (23965)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)
% 0.54/0.73 % (23966)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)
% 0.54/0.73 % (23967)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)
% 0.54/0.73 % (23960)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)
% 0.54/0.74 % (23962)First to succeed.
% 0.54/0.74 % (23962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23959"
% 0.54/0.75 % (23962)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.75 % (23962)------------------------------
% 0.54/0.75 % (23962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (23962)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (23962)Memory used [KB]: 1220
% 0.54/0.75 % (23962)Time elapsed: 0.012 s
% 0.54/0.75 % (23962)Instructions burned: 28 (million)
% 0.54/0.75 % (23959)Success in time 0.386 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------