TSTP Solution File: SEU147+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU147+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 : n021.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 09:20:29 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 135 ( 56 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 156 ( 59 ~; 68 |; 22 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 63 ( 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(subsumption_resolution,[],[f112,f93]) ).
fof(f93,plain,
empty_set != sK2(empty_set,powerset(empty_set)),
inference(subsumption_resolution,[],[f87,f35]) ).
fof(f35,plain,
powerset(empty_set) != singleton(empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
powerset(empty_set) != singleton(empty_set),
inference(flattening,[],[f12]) ).
fof(f12,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/tmp/tmp.JuFZxqx1p1/Vampire---4.8_27570',t1_zfmisc_1) ).
fof(f87,plain,
( empty_set != sK2(empty_set,powerset(empty_set))
| powerset(empty_set) = singleton(empty_set) ),
inference(resolution,[],[f81,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| sK2(X0,X1) != X0
| singleton(X0) = X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,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])],[f28,f29]) ).
fof(f29,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(f28,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,[],[f27]) ).
fof(f27,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.JuFZxqx1p1/Vampire---4.8_27570',d1_tarski) ).
fof(f81,plain,
in(sK2(empty_set,powerset(empty_set)),powerset(empty_set)),
inference(trivial_inequality_removal,[],[f77]) ).
fof(f77,plain,
( singleton(empty_set) != singleton(empty_set)
| in(sK2(empty_set,powerset(empty_set)),powerset(empty_set)) ),
inference(superposition,[],[f35,f75]) ).
fof(f75,plain,
! [X0] :
( singleton(X0) = powerset(X0)
| in(sK2(X0,powerset(X0)),powerset(X0)) ),
inference(resolution,[],[f73,f59]) ).
fof(f59,plain,
! [X0] : in(X0,powerset(X0)),
inference(resolution,[],[f52,f48]) ).
fof(f48,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.JuFZxqx1p1/Vampire---4.8_27570',reflexivity_r1_tarski) ).
fof(f52,plain,
! [X3,X0] :
( ~ subset(X3,X0)
| in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( subset(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( subset(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.JuFZxqx1p1/Vampire---4.8_27570',d1_zfmisc_1) ).
fof(f73,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(trivial_inequality_removal,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ in(X0,X1)
| X0 != X0
| singleton(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ in(X0,X1)
| X0 != X0
| singleton(X0) = X1
| singleton(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(superposition,[],[f46,f45]) ).
fof(f45,plain,
! [X0,X1] :
( sK2(X0,X1) = X0
| singleton(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f112,plain,
empty_set = sK2(empty_set,powerset(empty_set)),
inference(resolution,[],[f88,f36]) ).
fof(f36,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.JuFZxqx1p1/Vampire---4.8_27570',t3_xboole_1) ).
fof(f88,plain,
subset(sK2(empty_set,powerset(empty_set)),empty_set),
inference(resolution,[],[f81,f53]) ).
fof(f53,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU147+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 11:38:13 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.JuFZxqx1p1/Vampire---4.8_27570
% 0.57/0.75 % (27838)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 % (27837)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 % (27831)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 % (27833)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 % (27838)Refutation not found, incomplete strategy% (27838)------------------------------
% 0.57/0.75 % (27838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27838)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27838)Memory used [KB]: 976
% 0.57/0.75 % (27832)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 % (27838)Time elapsed: 0.002 s
% 0.57/0.75 % (27834)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 % (27838)Instructions burned: 3 (million)
% 0.57/0.75 % (27835)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 % (27836)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 % (27838)------------------------------
% 0.57/0.75 % (27838)------------------------------
% 0.57/0.75 % (27837)Refutation not found, incomplete strategy% (27837)------------------------------
% 0.57/0.75 % (27837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27837)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27837)Memory used [KB]: 969
% 0.57/0.75 % (27837)Time elapsed: 0.003 s
% 0.57/0.75 % (27837)Instructions burned: 3 (million)
% 0.57/0.75 % (27836)Refutation not found, incomplete strategy% (27836)------------------------------
% 0.57/0.75 % (27836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27836)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27836)Memory used [KB]: 956
% 0.57/0.75 % (27836)Time elapsed: 0.003 s
% 0.57/0.75 % (27836)Instructions burned: 2 (million)
% 0.57/0.75 % (27837)------------------------------
% 0.57/0.75 % (27837)------------------------------
% 0.57/0.75 % (27834)Refutation not found, incomplete strategy% (27834)------------------------------
% 0.57/0.75 % (27834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27834)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27834)Memory used [KB]: 958
% 0.57/0.75 % (27834)Time elapsed: 0.003 s
% 0.57/0.75 % (27834)Instructions burned: 3 (million)
% 0.57/0.75 % (27836)------------------------------
% 0.57/0.75 % (27836)------------------------------
% 0.57/0.75 % (27834)------------------------------
% 0.57/0.75 % (27834)------------------------------
% 0.57/0.75 % (27835)Refutation not found, incomplete strategy% (27835)------------------------------
% 0.57/0.75 % (27835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27835)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27835)Memory used [KB]: 1043
% 0.57/0.75 % (27835)Time elapsed: 0.003 s
% 0.57/0.75 % (27835)Instructions burned: 3 (million)
% 0.57/0.75 % (27831)Refutation not found, incomplete strategy% (27831)------------------------------
% 0.57/0.75 % (27831)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27831)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27831)Memory used [KB]: 1057
% 0.57/0.75 % (27831)Time elapsed: 0.004 s
% 0.57/0.75 % (27831)Instructions burned: 4 (million)
% 0.57/0.75 % (27835)------------------------------
% 0.57/0.75 % (27835)------------------------------
% 0.57/0.75 % (27831)------------------------------
% 0.57/0.75 % (27831)------------------------------
% 0.57/0.75 % (27833)First to succeed.
% 0.57/0.75 % (27840)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75 % (27832)Also succeeded, but the first one will report.
% 0.57/0.75 % (27833)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27827"
% 0.57/0.75 % (27840)Refutation not found, incomplete strategy% (27840)------------------------------
% 0.57/0.75 % (27840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27840)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (27840)Memory used [KB]: 959
% 0.57/0.75 % (27840)Time elapsed: 0.002 s
% 0.57/0.75 % (27840)Instructions burned: 2 (million)
% 0.57/0.75 % (27839)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (27840)------------------------------
% 0.57/0.75 % (27840)------------------------------
% 0.57/0.75 % (27833)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 % (27833)------------------------------
% 0.57/0.75 % (27833)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (27833)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (27833)Memory used [KB]: 1056
% 0.57/0.75 % (27833)Time elapsed: 0.006 s
% 0.57/0.75 % (27833)Instructions burned: 6 (million)
% 0.57/0.75 % (27827)Success in time 0.377 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------