TSTP Solution File: SET351+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET351+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n031.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 03:46:41 EDT 2024
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 92 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 75 ( 27 ~; 31 |; 5 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 48 ( 44 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f81,f88]) ).
fof(f88,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f87]) ).
fof(f87,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f85,f84]) ).
fof(f84,plain,
( ~ member(sK2(sK0,sum(singleton(sK0))),sum(singleton(sK0)))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f40,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,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/sandbox2/tmp/tmp.aOiAr7vak6/Vampire---4.8_5351',subset) ).
fof(f40,plain,
( ~ subset(sK0,sum(singleton(sK0)))
| spl3_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl3_2
<=> subset(sK0,sum(singleton(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f85,plain,
( member(sK2(sK0,sum(singleton(sK0))),sum(singleton(sK0)))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f31,f83,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X2,X1)
| member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X0,X2)
& member(X2,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X2,X0] :
( member(X2,sum(X0))
<=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aOiAr7vak6/Vampire---4.8_5351',sum) ).
fof(f83,plain,
( member(sK2(sK0,sum(singleton(sK0))),sK0)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f40,f29]) ).
fof(f29,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( X0 != X1
| member(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.aOiAr7vak6/Vampire---4.8_5351',singleton) ).
fof(f81,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f79,f42]) ).
fof(f42,plain,
( member(sK2(sum(singleton(sK0)),sK0),sum(singleton(sK0)))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f36,f29]) ).
fof(f36,plain,
( ~ subset(sum(singleton(sK0)),sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl3_1
<=> subset(sum(singleton(sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f79,plain,
( ~ member(sK2(sum(singleton(sK0)),sK0),sum(singleton(sK0)))
| spl3_1 ),
inference(subsumption_resolution,[],[f76,f43]) ).
fof(f43,plain,
( ~ member(sK2(sum(singleton(sK0)),sK0),sK0)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f36,f30]) ).
fof(f76,plain,
( member(sK2(sum(singleton(sK0)),sK0),sK0)
| ~ member(sK2(sum(singleton(sK0)),sK0),sum(singleton(sK0)))
| spl3_1 ),
inference(superposition,[],[f27,f48]) ).
fof(f48,plain,
( sK0 = sK1(sK2(sum(singleton(sK0)),sK0),singleton(sK0))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f44,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
( member(sK1(sK2(sum(singleton(sK0)),sK0),singleton(sK0)),singleton(sK0))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f42,f26]) ).
fof(f26,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0,X1] :
( member(X0,sK1(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f41,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f32,f38,f34]) ).
fof(f32,plain,
( ~ subset(sK0,sum(singleton(sK0)))
| ~ subset(sum(singleton(sK0)),sK0) ),
inference(resolution,[],[f22,f23]) ).
fof(f23,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aOiAr7vak6/Vampire---4.8_5351',equal_set) ).
fof(f22,plain,
~ equal_set(sum(singleton(sK0)),sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0] : ~ equal_set(sum(singleton(X0)),X0),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(sum(singleton(X0)),X0),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(sum(singleton(X0)),X0),
file('/export/starexec/sandbox2/tmp/tmp.aOiAr7vak6/Vampire---4.8_5351',thI39) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET351+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % 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
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:53:59 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.aOiAr7vak6/Vampire---4.8_5351
% 0.62/0.78 % (5567)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)
% 0.62/0.78 % (5568)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)
% 0.62/0.79 % (5568)Refutation not found, incomplete strategy% (5568)------------------------------
% 0.62/0.79 % (5568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (5568)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (5568)Memory used [KB]: 979
% 0.62/0.79 % (5568)Time elapsed: 0.003 s
% 0.62/0.79 % (5568)Instructions burned: 2 (million)
% 0.62/0.79 % (5568)------------------------------
% 0.62/0.79 % (5568)------------------------------
% 0.62/0.79 % (5561)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)
% 0.62/0.79 % (5563)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79 % (5562)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)
% 0.62/0.79 % (5565)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)
% 0.62/0.79 % (5564)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)
% 0.62/0.79 % (5566)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)
% 0.62/0.79 % (5567)First to succeed.
% 0.62/0.79 % (5561)Refutation not found, incomplete strategy% (5561)------------------------------
% 0.62/0.79 % (5561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (5561)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (5561)Memory used [KB]: 959
% 0.62/0.79 % (5561)Time elapsed: 0.004 s
% 0.62/0.79 % (5561)Instructions burned: 2 (million)
% 0.62/0.79 % (5561)------------------------------
% 0.62/0.79 % (5561)------------------------------
% 0.62/0.79 % (5566)Refutation not found, incomplete strategy% (5566)------------------------------
% 0.62/0.79 % (5566)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (5566)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (5566)Memory used [KB]: 965
% 0.62/0.79 % (5566)Time elapsed: 0.005 s
% 0.62/0.79 % (5566)Instructions burned: 2 (million)
% 0.62/0.79 % (5566)------------------------------
% 0.62/0.79 % (5566)------------------------------
% 0.62/0.79 % (5567)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Theorem for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (5567)------------------------------
% 0.62/0.79 % (5567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (5567)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (5567)Memory used [KB]: 1068
% 0.62/0.79 % (5567)Time elapsed: 0.005 s
% 0.62/0.79 % (5567)Instructions burned: 5 (million)
% 0.62/0.79 % (5567)------------------------------
% 0.62/0.79 % (5567)------------------------------
% 0.62/0.79 % (5524)Success in time 0.426 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------