TSTP Solution File: SEU143+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n009.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 03:50:14 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 75 ( 42 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 87 ( 35 ~; 32 |; 14 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f43,f38]) ).
fof(f38,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f28]) ).
fof(f28,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ( empty_set = X0
| in(sK1(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.AIRe5VdPGf/Vampire---4.8_24047',d1_xboole_0) ).
fof(f43,plain,
in(sK0,empty_set),
inference(superposition,[],[f40,f27]) ).
fof(f27,plain,
empty_set = singleton(sK0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
empty_set = singleton(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
fof(f13,plain,
( ? [X0] : singleton(X0) = empty_set
=> empty_set = singleton(sK0) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] : singleton(X0) = empty_set,
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0] : singleton(X0) != empty_set,
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0] : singleton(X0) != empty_set,
file('/export/starexec/sandbox/tmp/tmp.AIRe5VdPGf/Vampire---4.8_24047',l1_zfmisc_1) ).
fof(f40,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK2(X0,X1) != X0
| ~ in(sK2(X0,X1),X1) )
& ( sK2(X0,X1) = X0
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f20,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK2(X0,X1) != X0
| ~ in(sK2(X0,X1),X1) )
& ( sK2(X0,X1) = X0
| in(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.AIRe5VdPGf/Vampire---4.8_24047',d1_tarski) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % 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
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 16:11:40 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.32 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.AIRe5VdPGf/Vampire---4.8_24047
% 0.56/0.76 % (24157)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)
% 0.56/0.76 % (24161)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)
% 0.56/0.76 % (24159)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)
% 0.56/0.76 % (24158)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.76 % (24156)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)
% 0.56/0.76 % (24160)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)
% 0.56/0.76 % (24162)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)
% 0.56/0.76 % (24163)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)
% 0.56/0.76 % (24163)Refutation not found, incomplete strategy% (24163)------------------------------
% 0.56/0.76 % (24163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (24160)Refutation not found, incomplete strategy% (24160)------------------------------
% 0.56/0.76 % (24160)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (24160)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (24160)Memory used [KB]: 968
% 0.56/0.76 % (24160)Time elapsed: 0.002 s
% 0.56/0.76 % (24160)Instructions burned: 2 (million)
% 0.56/0.76 % (24160)------------------------------
% 0.56/0.76 % (24160)------------------------------
% 0.56/0.76 % (24161)First to succeed.
% 0.56/0.76 % (24163)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (24163)Memory used [KB]: 951
% 0.56/0.76 % (24163)Time elapsed: 0.002 s
% 0.56/0.76 % (24163)Instructions burned: 2 (million)
% 0.56/0.76 % (24163)------------------------------
% 0.56/0.76 % (24163)------------------------------
% 0.56/0.76 % (24159)Refutation not found, incomplete strategy% (24159)------------------------------
% 0.56/0.76 % (24159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (24159)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76 % (24156)Refutation not found, incomplete strategy% (24156)------------------------------
% 0.56/0.76 % (24156)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (24156)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (24156)Memory used [KB]: 970
% 0.56/0.76 % (24156)Time elapsed: 0.003 s
% 0.56/0.76 % (24156)Instructions burned: 3 (million)
% 0.56/0.76 % (24156)------------------------------
% 0.56/0.76 % (24156)------------------------------
% 0.56/0.76
% 0.56/0.76 % (24159)Memory used [KB]: 954
% 0.56/0.76 % (24159)Time elapsed: 0.003 s
% 0.56/0.76 % (24159)Instructions burned: 2 (million)
% 0.56/0.76 % (24159)------------------------------
% 0.56/0.76 % (24159)------------------------------
% 0.56/0.76 % (24157)Also succeeded, but the first one will report.
% 0.56/0.76 % (24162)Also succeeded, but the first one will report.
% 0.56/0.76 % (24161)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (24161)------------------------------
% 0.56/0.76 % (24161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (24161)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (24161)Memory used [KB]: 962
% 0.56/0.76 % (24161)Time elapsed: 0.003 s
% 0.56/0.76 % (24161)Instructions burned: 3 (million)
% 0.56/0.76 % (24161)------------------------------
% 0.56/0.76 % (24161)------------------------------
% 0.56/0.76 % (24155)Success in time 0.438 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------