TSTP Solution File: SEU160+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU160+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 09:20:36 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 5 unt; 0 def)
% Number of atoms : 125 ( 52 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 133 ( 50 ~; 61 |; 14 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 27 ( 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f47,f48,f51,f54,f62]) ).
fof(f62,plain,
( ~ spl4_1
| spl4_2
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| ~ spl4_1
| spl4_2
| spl4_3 ),
inference(subsumption_resolution,[],[f60,f41]) ).
fof(f41,plain,
( sK0 != singleton(sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl4_2
<=> sK0 = singleton(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f60,plain,
( sK0 = singleton(sK1)
| ~ spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f59,f46]) ).
fof(f46,plain,
( empty_set != sK0
| spl4_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl4_3
<=> empty_set = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f59,plain,
( empty_set = sK0
| sK0 = singleton(sK1)
| ~ spl4_1 ),
inference(resolution,[],[f25,f36]) ).
fof(f36,plain,
( subset(sK0,singleton(sK1))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl4_1
<=> subset(sK0,singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f25,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.JYFiIq6Cbk/Vampire---4.8_17379',l4_zfmisc_1) ).
fof(f54,plain,
( spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| spl4_1
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f52,f33]) ).
fof(f33,plain,
! [X1] : subset(empty_set,singleton(X1)),
inference(equality_resolution,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,singleton(X1))
| empty_set != X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f52,plain,
( ~ subset(empty_set,singleton(sK1))
| spl4_1
| ~ spl4_3 ),
inference(backward_demodulation,[],[f37,f45]) ).
fof(f45,plain,
( empty_set = sK0
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f37,plain,
( ~ subset(sK0,singleton(sK1))
| spl4_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f51,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f49,f29]) ).
fof(f29,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.JYFiIq6Cbk/Vampire---4.8_17379',reflexivity_r1_tarski) ).
fof(f49,plain,
( ~ subset(sK0,sK0)
| spl4_1
| ~ spl4_2 ),
inference(forward_demodulation,[],[f37,f40]) ).
fof(f40,plain,
( sK0 = singleton(sK1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f48,plain,
( spl4_1
| spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f22,f39,f44,f35]) ).
fof(f22,plain,
( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( ( sK0 != singleton(sK1)
& empty_set != sK0 )
| ~ subset(sK0,singleton(sK1)) )
& ( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f14]) ).
fof(f14,plain,
( ? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) )
=> ( ( ( sK0 != singleton(sK1)
& empty_set != sK0 )
| ~ subset(sK0,singleton(sK1)) )
& ( sK0 = singleton(sK1)
| empty_set = sK0
| subset(sK0,singleton(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X0,X1] :
( ( ( singleton(X1) != X0
& empty_set != X0 )
| ~ subset(X0,singleton(X1)) )
& ( singleton(X1) = X0
| empty_set = X0
| subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
? [X0,X1] :
( subset(X0,singleton(X1))
<~> ( singleton(X1) = X0
| empty_set = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.JYFiIq6Cbk/Vampire---4.8_17379',t39_zfmisc_1) ).
fof(f47,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f23,f44,f35]) ).
fof(f23,plain,
( empty_set != sK0
| ~ subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f24,f39,f35]) ).
fof(f24,plain,
( sK0 != singleton(sK1)
| ~ subset(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n010.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 : Fri May 3 11:22:48 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.JYFiIq6Cbk/Vampire---4.8_17379
% 0.61/0.81 % (17776)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)
% 0.61/0.81 % (17776)Refutation not found, incomplete strategy% (17776)------------------------------
% 0.61/0.81 % (17776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (17767)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)
% 0.61/0.81 % (17776)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (17776)Memory used [KB]: 956
% 0.61/0.81 % (17776)Time elapsed: 0.002 s
% 0.61/0.81 % (17776)Instructions burned: 2 (million)
% 0.61/0.81 % (17771)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (17772)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)
% 0.61/0.81 % (17768)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)
% 0.61/0.81 % (17773)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)
% 0.61/0.81 % (17774)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)
% 0.61/0.81 % (17776)------------------------------
% 0.61/0.81 % (17776)------------------------------
% 0.61/0.81 % (17775)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)
% 0.61/0.82 % (17767)Refutation not found, incomplete strategy% (17767)------------------------------
% 0.61/0.82 % (17767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (17767)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (17767)Memory used [KB]: 968
% 0.61/0.82 % (17767)Time elapsed: 0.003 s
% 0.61/0.82 % (17767)Instructions burned: 2 (million)
% 0.61/0.82 % (17773)Refutation not found, incomplete strategy% (17773)------------------------------
% 0.61/0.82 % (17773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (17773)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (17773)Memory used [KB]: 969
% 0.61/0.82 % (17773)Time elapsed: 0.003 s
% 0.61/0.82 % (17773)Instructions burned: 2 (million)
% 0.61/0.82 % (17767)------------------------------
% 0.61/0.82 % (17767)------------------------------
% 0.61/0.82 % (17771)First to succeed.
% 0.61/0.82 % (17774)Also succeeded, but the first one will report.
% 0.61/0.82 % (17773)------------------------------
% 0.61/0.82 % (17773)------------------------------
% 0.61/0.82 % (17768)Also succeeded, but the first one will report.
% 0.61/0.82 % (17772)Also succeeded, but the first one will report.
% 0.61/0.82 % (17775)Also succeeded, but the first one will report.
% 0.61/0.82 % (17771)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17566"
% 0.61/0.82 % (17780)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 (2995ds/55Mi)
% 0.61/0.82 % (17771)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Theorem for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (17771)------------------------------
% 0.61/0.82 % (17771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (17771)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (17771)Memory used [KB]: 977
% 0.61/0.82 % (17771)Time elapsed: 0.004 s
% 0.61/0.82 % (17771)Instructions burned: 4 (million)
% 0.61/0.82 % (17566)Success in time 0.454 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------