TSTP Solution File: SET654+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET654+3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 03:12:41 EDT 2024
% Result : Theorem 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 222 ( 82 ~; 66 |; 46 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 102 ( 78 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f123,plain,
$false,
inference(avatar_sat_refutation,[],[f110,f119,f122]) ).
fof(f122,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| ~ spl6_1 ),
inference(resolution,[],[f105,f52]) ).
fof(f52,plain,
ilf_type(sK3,relation_type(sK2,sK0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ~ ilf_type(sK3,relation_type(sK2,sK1))
& subset(sK0,sK1)
& ilf_type(sK3,relation_type(sK2,sK0))
& ilf_type(sK2,set_type)
& ilf_type(sK1,set_type)
& ilf_type(sK0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f27,f41,f40,f39,f38]) ).
fof(f38,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(sK0,X1)
& ilf_type(X3,relation_type(X2,sK0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK0,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(sK0,X1)
& ilf_type(X3,relation_type(X2,sK0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,sK1))
& subset(sK0,sK1)
& ilf_type(X3,relation_type(X2,sK0)) )
& ilf_type(X2,set_type) )
& ilf_type(sK1,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,sK1))
& subset(sK0,sK1)
& ilf_type(X3,relation_type(X2,sK0)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ~ ilf_type(X3,relation_type(sK2,sK1))
& subset(sK0,sK1)
& ilf_type(X3,relation_type(sK2,sK0)) )
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X3] :
( ~ ilf_type(X3,relation_type(sK2,sK1))
& subset(sK0,sK1)
& ilf_type(X3,relation_type(sK2,sK0)) )
=> ( ~ ilf_type(sK3,relation_type(sK2,sK1))
& subset(sK0,sK1)
& ilf_type(sK3,relation_type(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_16) ).
fof(f105,plain,
( ! [X0] : ~ ilf_type(sK3,relation_type(sK2,X0))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl6_1
<=> ! [X0] : ~ ilf_type(sK3,relation_type(sK2,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f119,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| spl6_2 ),
inference(subsumption_resolution,[],[f115,f53]) ).
fof(f53,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f115,plain,
( ~ subset(sK0,sK1)
| spl6_2 ),
inference(resolution,[],[f111,f83]) ).
fof(f83,plain,
subset(range_of(sK3),sK0),
inference(resolution,[],[f82,f52]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(subsumption_resolution,[],[f81,f55]) ).
fof(f55,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f81,plain,
! [X2,X0,X1] :
( subset(range_of(X2),X1)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f61,f55]) ).
fof(f61,plain,
! [X2,X0,X1] :
( subset(range_of(X2),X1)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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,[],[f2]) ).
fof(f2,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/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f111,plain,
( ! [X0] :
( ~ subset(range_of(sK3),X0)
| ~ subset(X0,sK1) )
| spl6_2 ),
inference(resolution,[],[f109,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(subsumption_resolution,[],[f95,f55]) ).
fof(f95,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f94,f55]) ).
fof(f94,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f67,f55]) ).
fof(f67,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f109,plain,
( ~ subset(range_of(sK3),sK1)
| spl6_2 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl6_2
<=> subset(range_of(sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f110,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f100,f107,f104]) ).
fof(f100,plain,
! [X0] :
( ~ subset(range_of(sK3),sK1)
| ~ ilf_type(sK3,relation_type(sK2,X0)) ),
inference(resolution,[],[f99,f54]) ).
fof(f54,plain,
~ ilf_type(sK3,relation_type(sK2,sK1)),
inference(cnf_transformation,[],[f42]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) ),
inference(subsumption_resolution,[],[f98,f55]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f97,f55]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f59,f55]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) )
| ~ 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,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET654+3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 11:05:23 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 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
% 0.71/0.87 % (22069)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.71/0.87 % (22067)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 (2995ds/34Mi)
% 0.71/0.87 % (22070)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.71/0.87 % (22068)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 (2995ds/51Mi)
% 0.71/0.87 % (22071)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 (2995ds/34Mi)
% 0.71/0.87 % (22072)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.71/0.87 % (22073)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 (2995ds/83Mi)
% 0.71/0.87 % (22074)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 (2995ds/56Mi)
% 0.71/0.87 % (22072)Refutation not found, incomplete strategy% (22072)------------------------------
% 0.71/0.87 % (22072)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87 % (22072)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87
% 0.71/0.87 % (22072)Memory used [KB]: 1021
% 0.71/0.87 % (22072)Time elapsed: 0.002 s
% 0.71/0.87 % (22072)Instructions burned: 2 (million)
% 0.71/0.87 % (22070)Refutation not found, incomplete strategy% (22070)------------------------------
% 0.71/0.87 % (22070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87 % (22070)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87
% 0.71/0.87 % (22070)Memory used [KB]: 1023
% 0.71/0.87 % (22070)Time elapsed: 0.003 s
% 0.71/0.87 % (22070)Instructions burned: 2 (million)
% 0.71/0.87 % (22070)------------------------------
% 0.71/0.87 % (22070)------------------------------
% 0.71/0.87 % (22072)------------------------------
% 0.71/0.87 % (22072)------------------------------
% 0.71/0.87 % (22074)Refutation not found, incomplete strategy% (22074)------------------------------
% 0.71/0.87 % (22074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.87 % (22074)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.87
% 0.71/0.87 % (22074)Memory used [KB]: 1021
% 0.71/0.87 % (22074)Time elapsed: 0.002 s
% 0.71/0.87 % (22074)Instructions burned: 2 (million)
% 0.71/0.88 % (22074)------------------------------
% 0.71/0.88 % (22074)------------------------------
% 0.71/0.88 % (22067)First to succeed.
% 0.71/0.88 % (22073)Refutation not found, incomplete strategy% (22073)------------------------------
% 0.71/0.88 % (22073)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88 % (22073)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88
% 0.71/0.88 % (22073)Memory used [KB]: 1046
% 0.71/0.88 % (22073)Time elapsed: 0.004 s
% 0.71/0.88 % (22073)Instructions burned: 4 (million)
% 0.71/0.88 % (22073)------------------------------
% 0.71/0.88 % (22073)------------------------------
% 0.71/0.88 % (22067)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22066"
% 0.71/0.88 % (22071)Also succeeded, but the first one will report.
% 0.71/0.88 % (22067)Refutation found. Thanks to Tanya!
% 0.71/0.88 % SZS status Theorem for theBenchmark
% 0.71/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 0.71/0.88 % (22067)------------------------------
% 0.71/0.88 % (22067)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88 % (22067)Termination reason: Refutation
% 0.71/0.88
% 0.71/0.88 % (22067)Memory used [KB]: 1071
% 0.71/0.88 % (22067)Time elapsed: 0.005 s
% 0.71/0.88 % (22067)Instructions burned: 6 (million)
% 0.71/0.88 % (22066)Success in time 0.502 s
% 0.71/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------