TSTP Solution File: SET663+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET663+3 : TPTP v8.1.2. 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 : n010.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 09:07:53 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 12 unt; 0 def)
% Number of atoms : 118 ( 22 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 122 ( 41 ~; 35 |; 17 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 52 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(subsumption_resolution,[],[f152,f140]) ).
fof(f140,plain,
empty_set = domain_of(sK2),
inference(unit_resulting_resolution,[],[f73,f132,f78]) ).
fof(f78,plain,
! [X0] :
( ~ subset(X0,empty_set)
| ~ ilf_type(X0,set_type)
| empty_set = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set)
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( subset(X0,empty_set)
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p1) ).
fof(f132,plain,
subset(domain_of(sK2),empty_set),
inference(unit_resulting_resolution,[],[f73,f73,f68,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| subset(domain_of(X2),X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p3) ).
fof(f68,plain,
ilf_type(sK2,relation_type(empty_set,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( empty_set != X2
& ilf_type(X2,relation_type(empty_set,X1))
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( empty_set != X2
& ilf_type(X2,relation_type(empty_set,X1))
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( ilf_type(X2,relation_type(empty_set,X1))
=> empty_set = X2 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( ilf_type(X2,relation_type(empty_set,X1))
=> empty_set = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',prove_relset_1_26) ).
fof(f73,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p33) ).
fof(f152,plain,
empty_set != domain_of(sK2),
inference(unit_resulting_resolution,[],[f69,f151,f76]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| empty_set != domain_of(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( empty_set = X0
| ( empty_set != range_of(X0)
& empty_set != domain_of(X0) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( empty_set = X0
| ( empty_set != range_of(X0)
& empty_set != domain_of(X0) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ( ( empty_set = range_of(X0)
| empty_set = domain_of(X0) )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p2) ).
fof(f151,plain,
ilf_type(sK2,binary_relation_type),
inference(unit_resulting_resolution,[],[f73,f148,f102]) ).
fof(f102,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p13) ).
fof(f148,plain,
relation_like(sK2),
inference(unit_resulting_resolution,[],[f73,f73,f122,f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| relation_like(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p28) ).
fof(f122,plain,
ilf_type(sK2,subset_type(cross_product(sK0,sK1))),
inference(unit_resulting_resolution,[],[f73,f73,f67,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.V1iQv5hwxA/Vampire---4.8_11568',p6) ).
fof(f67,plain,
ilf_type(sK2,relation_type(sK0,sK1)),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
empty_set != sK2,
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET663+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.10 % 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
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 17:05:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.V1iQv5hwxA/Vampire---4.8_11568
% 0.56/0.74 % (11681)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)
% 0.56/0.74 % (11680)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)
% 0.56/0.74 % (11679)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.74 % (11678)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)
% 0.56/0.74 % (11682)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)
% 0.56/0.74 % (11683)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)
% 0.56/0.74 % (11684)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)
% 0.56/0.74 % (11677)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)
% 0.56/0.74 % (11680)Refutation not found, incomplete strategy% (11680)------------------------------
% 0.56/0.74 % (11680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11680)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11680)Memory used [KB]: 1023
% 0.56/0.74 % (11680)Time elapsed: 0.003 s
% 0.56/0.74 % (11680)Instructions burned: 2 (million)
% 0.56/0.74 % (11682)Refutation not found, incomplete strategy% (11682)------------------------------
% 0.56/0.74 % (11682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11684)Refutation not found, incomplete strategy% (11684)------------------------------
% 0.56/0.74 % (11684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11682)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11682)Memory used [KB]: 1023
% 0.56/0.74 % (11682)Time elapsed: 0.003 s
% 0.56/0.74 % (11682)Instructions burned: 2 (million)
% 0.56/0.74 % (11684)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11684)Memory used [KB]: 1024
% 0.56/0.74 % (11684)Time elapsed: 0.002 s
% 0.56/0.74 % (11684)Instructions burned: 2 (million)
% 0.56/0.74 % (11680)------------------------------
% 0.56/0.74 % (11680)------------------------------
% 0.56/0.74 % (11682)------------------------------
% 0.56/0.74 % (11682)------------------------------
% 0.56/0.74 % (11684)------------------------------
% 0.56/0.74 % (11684)------------------------------
% 0.56/0.74 % (11683)First to succeed.
% 0.56/0.74 % (11677)Refutation not found, incomplete strategy% (11677)------------------------------
% 0.56/0.74 % (11677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11677)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (11677)Memory used [KB]: 1073
% 0.56/0.74 % (11677)Time elapsed: 0.005 s
% 0.56/0.74 % (11677)Instructions burned: 6 (million)
% 0.56/0.74 % (11683)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11676"
% 0.56/0.74 % (11677)------------------------------
% 0.56/0.74 % (11677)------------------------------
% 0.56/0.74 % (11683)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (11683)------------------------------
% 0.56/0.74 % (11683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (11683)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (11683)Memory used [KB]: 1052
% 0.56/0.74 % (11683)Time elapsed: 0.005 s
% 0.56/0.74 % (11683)Instructions burned: 8 (million)
% 0.56/0.74 % (11676)Success in time 0.432 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------