TSTP Solution File: SET162+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET162+3 : 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 : 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 : Wed May 1 03:45:30 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 95 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 107 ( 43 ~; 43 |; 15 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 43 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f43,f29]) ).
fof(f29,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/tmp/tmp.PiLvnGurXc/Vampire---4.8_14652',empty_set_defn) ).
fof(f43,plain,
member(sK1(sK0,union(sK0,empty_set)),empty_set),
inference(subsumption_resolution,[],[f42,f41]) ).
fof(f41,plain,
~ member(sK1(sK0,union(sK0,empty_set)),sK0),
inference(subsumption_resolution,[],[f39,f40]) ).
fof(f40,plain,
member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set)),
inference(subsumption_resolution,[],[f38,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.PiLvnGurXc/Vampire---4.8_14652',union_defn) ).
fof(f38,plain,
( member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set))
| member(sK1(sK0,union(sK0,empty_set)),sK0) ),
inference(resolution,[],[f33,f35]) ).
fof(f35,plain,
! [X0,X1] :
( sQ2_eqProxy(X0,X1)
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f23,f32]) ).
fof(f32,plain,
! [X0,X1] :
( sQ2_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
fof(f23,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f15,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.PiLvnGurXc/Vampire---4.8_14652',equal_member_defn) ).
fof(f33,plain,
~ sQ2_eqProxy(sK0,union(sK0,empty_set)),
inference(equality_proxy_replacement,[],[f20,f32]) ).
fof(f20,plain,
sK0 != union(sK0,empty_set),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
sK0 != union(sK0,empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f12]) ).
fof(f12,plain,
( ? [X0] : union(X0,empty_set) != X0
=> sK0 != union(sK0,empty_set) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] : union(X0,empty_set) != X0,
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : union(X0,empty_set) = X0,
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : union(X0,empty_set) = X0,
file('/export/starexec/sandbox/tmp/tmp.PiLvnGurXc/Vampire---4.8_14652',prove_union_empty_set) ).
fof(f39,plain,
( ~ member(sK1(sK0,union(sK0,empty_set)),union(sK0,empty_set))
| ~ member(sK1(sK0,union(sK0,empty_set)),sK0) ),
inference(resolution,[],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( sQ2_eqProxy(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f24,f32]) ).
fof(f24,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
( member(sK1(sK0,union(sK0,empty_set)),sK0)
| member(sK1(sK0,union(sK0,empty_set)),empty_set) ),
inference(resolution,[],[f40,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET162+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 17:07:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.PiLvnGurXc/Vampire---4.8_14652
% 0.60/0.81 % (14771)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)
% 0.60/0.81 % (14766)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)
% 0.60/0.81 % (14770)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)
% 0.60/0.81 % (14768)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (14772)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)
% 0.60/0.81 % (14767)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)
% 0.60/0.81 % (14773)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)
% 0.60/0.81 % (14774)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)
% 0.60/0.81 % (14774)First to succeed.
% 0.60/0.81 % (14772)Refutation not found, incomplete strategy% (14772)------------------------------
% 0.60/0.81 % (14772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (14772)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (14772)Memory used [KB]: 954
% 0.60/0.81 % (14772)Time elapsed: 0.003 s
% 0.60/0.81 % (14772)Instructions burned: 2 (million)
% 0.60/0.81 % (14772)------------------------------
% 0.60/0.81 % (14772)------------------------------
% 0.60/0.81 % (14773)Refutation not found, incomplete strategy% (14773)------------------------------
% 0.60/0.81 % (14773)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (14773)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (14773)Memory used [KB]: 955
% 0.60/0.81 % (14773)Time elapsed: 0.003 s
% 0.60/0.81 % (14773)Instructions burned: 3 (million)
% 0.60/0.81 % (14773)------------------------------
% 0.60/0.81 % (14773)------------------------------
% 0.60/0.81 % (14771)Also succeeded, but the first one will report.
% 0.60/0.81 % (14774)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (14774)------------------------------
% 0.60/0.81 % (14774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (14774)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (14774)Memory used [KB]: 975
% 0.60/0.81 % (14774)Time elapsed: 0.003 s
% 0.60/0.81 % (14774)Instructions burned: 3 (million)
% 0.60/0.81 % (14774)------------------------------
% 0.60/0.81 % (14774)------------------------------
% 0.60/0.81 % (14763)Success in time 0.487 s
% 0.60/0.81 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.81 14763 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.PiLvnGurXc/Vampire---4.8_14652
% 0.60/0.81 % (14763)------------------------------
% 0.60/0.81 % (14763)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (14763)Termination reason: Unknown
% 0.60/0.81 % (14763)Termination phase: Unknown
% 0.60/0.81
% 0.60/0.81 % (14763)Memory used [KB]: 439
% 0.60/0.81 % (14763)Time elapsed: 0.487 s
% 0.60/0.81 % (14763)Instructions burned: 953 (million)
% 0.60/0.81 % (14763)------------------------------
% 0.60/0.81 % (14763)------------------------------
% 0.60/0.81 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 ???
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% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------