TSTP Solution File: SET704+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET704+4 : 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 : n023.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 09:08:04 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 4 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 30 ~; 21 |; 16 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 52 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f28]) ).
fof(f28,plain,
member(sK1,sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ~ subset(product(sK0),sK1)
& member(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f20]) ).
fof(f20,plain,
( ? [X0,X1] :
( ~ subset(product(X0),X1)
& member(X1,X0) )
=> ( ~ subset(product(sK0),sK1)
& member(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1] :
( ~ subset(product(X0),X1)
& member(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] :
( member(X1,X0)
=> subset(product(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X2] :
( member(X2,X0)
=> subset(product(X0),X2) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X2] :
( member(X2,X0)
=> subset(product(X0),X2) ),
file('/export/starexec/sandbox/tmp/tmp.FvTnX9cbtQ/Vampire---4.8_24008',thI42) ).
fof(f45,plain,
~ member(sK1,sK0),
inference(resolution,[],[f42,f29]) ).
fof(f29,plain,
~ subset(product(sK0),sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0,X1] :
( subset(product(X1),X0)
| ~ member(X0,X1) ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ member(X0,X1)
| subset(product(X1),X0)
| subset(product(X1),X0) ),
inference(resolution,[],[f37,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f18,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
=> subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.FvTnX9cbtQ/Vampire---4.8_24008',subset) ).
fof(f37,plain,
! [X2,X0,X1] :
( member(sK2(product(X1),X2),X0)
| ~ member(X0,X1)
| subset(product(X1),X2) ),
inference(resolution,[],[f32,f30]) ).
fof(f30,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f32,plain,
! [X3,X0,X1] :
( ~ member(X0,product(X1))
| ~ member(X3,X1)
| member(X0,X3) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ( ~ member(X0,sK3(X0,X1))
& member(sK3(X0,X1),X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) )
=> ( ~ member(X0,sK3(X0,X1))
& member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) )
| ~ member(X0,product(X1)) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X2,X1)
=> member(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0] :
( member(X2,product(X0))
<=> ! [X4] :
( member(X4,X0)
=> member(X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.FvTnX9cbtQ/Vampire---4.8_24008',product) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET704+4 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n023.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 : Fri May 3 16:43:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FvTnX9cbtQ/Vampire---4.8_24008
% 0.58/0.75 % (24265)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)
% 0.58/0.75 % (24267)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (24268)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)
% 0.58/0.75 % (24270)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)
% 0.58/0.75 % (24269)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)
% 0.58/0.75 % (24266)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)
% 0.58/0.75 % (24271)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)
% 0.58/0.75 % (24272)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)
% 0.58/0.75 % (24265)First to succeed.
% 0.58/0.75 % (24270)Refutation not found, incomplete strategy% (24270)------------------------------
% 0.58/0.75 % (24270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (24270)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (24270)Memory used [KB]: 961
% 0.58/0.75 % (24270)Time elapsed: 0.003 s
% 0.58/0.75 % (24270)Instructions burned: 2 (million)
% 0.58/0.75 % (24265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24255"
% 0.58/0.75 % (24272)Also succeeded, but the first one will report.
% 0.58/0.75 % (24268)Also succeeded, but the first one will report.
% 0.58/0.75 % (24270)------------------------------
% 0.58/0.75 % (24270)------------------------------
% 0.58/0.75 % (24271)Also succeeded, but the first one will report.
% 0.58/0.75 % (24267)Also succeeded, but the first one will report.
% 0.58/0.76 % (24265)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (24265)------------------------------
% 0.58/0.76 % (24265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (24265)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (24265)Memory used [KB]: 987
% 0.58/0.76 % (24265)Time elapsed: 0.003 s
% 0.58/0.76 % (24265)Instructions burned: 3 (million)
% 0.58/0.76 % (24255)Success in time 0.382 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------