TSTP Solution File: SET063+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET063+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 09:03:31 EDT 2024
% Result : Theorem 0.46s 0.65s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 66 ( 13 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 72 ( 28 ~; 19 |; 17 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 32 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(unit_resulting_resolution,[],[f68,f56,f57,f60]) ).
fof(f60,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.xtkKl9MIgj/Vampire---4.8_21859',extensionality) ).
fof(f57,plain,
null_class != sK0,
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( null_class != sK0
& subclass(sK0,null_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f46,f48]) ).
fof(f48,plain,
( ? [X0] :
( null_class != X0
& subclass(X0,null_class) )
=> ( null_class != sK0
& subclass(sK0,null_class) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0] :
( null_class != X0
& subclass(X0,null_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( subclass(X0,null_class)
=> null_class = X0 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( subclass(X0,null_class)
=> null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.xtkKl9MIgj/Vampire---4.8_21859',corollary_of_null_class_is_subclass) ).
fof(f56,plain,
subclass(sK0,null_class),
inference(cnf_transformation,[],[f49]) ).
fof(f68,plain,
! [X0] : subclass(null_class,X0),
inference(unit_resulting_resolution,[],[f65,f63]) ).
fof(f63,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.xtkKl9MIgj/Vampire---4.8_21859',subclass_defn) ).
fof(f65,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/tmp/tmp.xtkKl9MIgj/Vampire---4.8_21859',null_class_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET063+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 16:21:37 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.29 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.xtkKl9MIgj/Vampire---4.8_21859
% 0.46/0.64 % (22282)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 (2996ds/34Mi)
% 0.46/0.64 % (22280)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.64 % (22281)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.46/0.64 % (22285)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 (2996ds/56Mi)
% 0.46/0.64 % (22279)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 (2996ds/51Mi)
% 0.46/0.64 % (22285)Refutation not found, incomplete strategy% (22285)------------------------------
% 0.46/0.64 % (22285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (22285)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (22285)Memory used [KB]: 1039
% 0.46/0.64 % (22285)Time elapsed: 0.001 s
% 0.46/0.64 % (22285)Instructions burned: 2 (million)
% 0.46/0.64 % (22278)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 (2996ds/34Mi)
% 0.46/0.64 % (22285)------------------------------
% 0.46/0.64 % (22285)------------------------------
% 0.46/0.64 % (22281)First to succeed.
% 0.46/0.64 % (22283)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.46/0.65 % (22284)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 (2996ds/83Mi)
% 0.46/0.65 % (22281)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22110"
% 0.46/0.65 % (22281)Refutation found. Thanks to Tanya!
% 0.46/0.65 % SZS status Theorem for Vampire---4
% 0.46/0.65 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.65 % (22281)------------------------------
% 0.46/0.65 % (22281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.65 % (22281)Termination reason: Refutation
% 0.46/0.65
% 0.46/0.65 % (22281)Memory used [KB]: 1051
% 0.46/0.65 % (22281)Time elapsed: 0.002 s
% 0.46/0.65 % (22281)Instructions burned: 3 (million)
% 0.46/0.65 % (22110)Success in time 0.346 s
% 0.46/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------