TSTP Solution File: SET978+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Wed May 1 03:49:41 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 6 unt; 0 def)
% Number of atoms : 64 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 64 ( 30 ~; 19 |; 7 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f38,f43]) ).
fof(f43,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f42,plain,
( $false
| spl5_2 ),
inference(subsumption_resolution,[],[f40,f33]) ).
fof(f33,plain,
disjoint(singleton(sK0),singleton(sK1)),
inference(resolution,[],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
| disjoint(singleton(X0),singleton(X1)) ),
inference(equality_proxy_replacement,[],[f16,f20]) ).
fof(f20,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
fof(f16,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 != X1
=> disjoint(singleton(X0),singleton(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.klOD4B9RqD/Vampire---4.8_12290',t17_zfmisc_1) ).
fof(f21,plain,
~ sQ4_eqProxy(sK0,sK1),
inference(equality_proxy_replacement,[],[f14,f20]) ).
fof(f14,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3)) )
& sK0 != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f12]) ).
fof(f12,plain,
( ? [X0,X1,X2,X3] :
( ( ~ disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
| ~ disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) )
& X0 != X1 )
=> ( ( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3)) )
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0,X1,X2,X3] :
( ( ~ disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
| ~ disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) )
& X0 != X1 ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 != X1
=> ( disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
& disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1,X2,X3] :
( X0 != X1
=> ( disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
& disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.klOD4B9RqD/Vampire---4.8_12290',t131_zfmisc_1) ).
fof(f40,plain,
( ~ disjoint(singleton(sK0),singleton(sK1))
| spl5_2 ),
inference(resolution,[],[f31,f18]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ disjoint(X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ( ~ disjoint(X2,X3)
& ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( disjoint(X2,X3)
| disjoint(X0,X1) )
=> disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.klOD4B9RqD/Vampire---4.8_12290',t127_zfmisc_1) ).
fof(f31,plain,
( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| spl5_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl5_2
<=> disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f38,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f37,plain,
( $false
| spl5_1 ),
inference(subsumption_resolution,[],[f34,f33]) ).
fof(f34,plain,
( ~ disjoint(singleton(sK0),singleton(sK1))
| spl5_1 ),
inference(resolution,[],[f27,f17]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f27,plain,
( ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3))
| spl5_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl5_1
<=> disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f32,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f15,f29,f25]) ).
fof(f15,plain,
( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3)) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:04:33 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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/tmp/tmp.klOD4B9RqD/Vampire---4.8_12290
% 0.57/0.75 % (12497)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)
% 0.57/0.75 % (12496)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)
% 0.57/0.75 % (12490)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)
% 0.57/0.75 % (12497)First to succeed.
% 0.57/0.75 % (12492)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (12493)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)
% 0.57/0.75 % (12491)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)
% 0.57/0.75 % (12494)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)
% 0.57/0.75 % (12495)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)
% 0.57/0.75 % (12496)Also succeeded, but the first one will report.
% 0.57/0.75 % (12497)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (12497)------------------------------
% 0.57/0.75 % (12497)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (12497)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (12497)Memory used [KB]: 984
% 0.57/0.75 % (12497)Time elapsed: 0.002 s
% 0.57/0.75 % (12497)Instructions burned: 3 (million)
% 0.57/0.75 % (12497)------------------------------
% 0.57/0.75 % (12497)------------------------------
% 0.57/0.75 % (12480)Success in time 0.38 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------