TSTP Solution File: SET926+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n027.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 09:09:04 EDT 2024
% Result : Theorem 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 41 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 21 ~; 10 |; 6 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(subsumption_resolution,[],[f40,f38]) ).
fof(f38,plain,
~ in(sK2,sK3),
inference(resolution,[],[f35,f32]) ).
fof(f32,plain,
! [X0,X1] :
( sQ4_eqProxy(empty_set,set_difference(singleton(X0),X1))
| ~ in(X0,X1) ),
inference(equality_proxy_replacement,[],[f24,f29]) ).
fof(f29,plain,
! [X0,X1] :
( sQ4_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
fof(f24,plain,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EcS0jJekay/Vampire---4.8_18111',l36_zfmisc_1) ).
fof(f35,plain,
~ sQ4_eqProxy(empty_set,set_difference(singleton(sK2),sK3)),
inference(equality_proxy_replacement,[],[f27,f29]) ).
fof(f27,plain,
empty_set != set_difference(singleton(sK2),sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( singleton(sK2) != set_difference(singleton(sK2),sK3)
& empty_set != set_difference(singleton(sK2),sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f10,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( singleton(X0) != set_difference(singleton(X0),X1)
& empty_set != set_difference(singleton(X0),X1) )
=> ( singleton(sK2) != set_difference(singleton(sK2),sK3)
& empty_set != set_difference(singleton(sK2),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1] :
( singleton(X0) != set_difference(singleton(X0),X1)
& empty_set != set_difference(singleton(X0),X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.EcS0jJekay/Vampire---4.8_18111',t69_zfmisc_1) ).
fof(f40,plain,
in(sK2,sK3),
inference(resolution,[],[f34,f30]) ).
fof(f30,plain,
! [X0,X1] :
( sQ4_eqProxy(singleton(X0),set_difference(singleton(X0),X1))
| in(X0,X1) ),
inference(equality_proxy_replacement,[],[f22,f29]) ).
fof(f22,plain,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( singleton(X0) = set_difference(singleton(X0),X1)
| in(X0,X1) )
& ( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EcS0jJekay/Vampire---4.8_18111',l34_zfmisc_1) ).
fof(f34,plain,
~ sQ4_eqProxy(singleton(sK2),set_difference(singleton(sK2),sK3)),
inference(equality_proxy_replacement,[],[f28,f29]) ).
fof(f28,plain,
singleton(sK2) != set_difference(singleton(sK2),sK3),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15 % 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
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:36:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.EcS0jJekay/Vampire---4.8_18111
% 0.60/0.83 % (18447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83 % (18445)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)
% 0.60/0.83 % (18446)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)
% 0.60/0.83 % (18448)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)
% 0.60/0.83 % (18449)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)
% 0.60/0.83 % (18450)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)
% 0.60/0.83 % (18452)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)
% 0.60/0.83 % (18451)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)
% 0.60/0.83 % (18452)Also succeeded, but the first one will report.
% 0.60/0.83 % (18445)Also succeeded, but the first one will report.
% 0.60/0.83 % (18448)Also succeeded, but the first one will report.
% 0.60/0.83 % (18449)First to succeed.
% 0.60/0.83 % (18450)Also succeeded, but the first one will report.
% 0.60/0.84 % (18451)Also succeeded, but the first one will report.
% 0.60/0.84 % (18447)Also succeeded, but the first one will report.
% 0.60/0.84 % (18446)Also succeeded, but the first one will report.
% 0.60/0.84 % (18449)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18354"
% 0.60/0.84 % (18449)Refutation found. Thanks to Tanya!
% 0.60/0.84 % SZS status Theorem for Vampire---4
% 0.60/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.84 % (18449)------------------------------
% 0.60/0.84 % (18449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84 % (18449)Termination reason: Refutation
% 0.60/0.84
% 0.60/0.84 % (18449)Memory used [KB]: 974
% 0.60/0.84 % (18449)Time elapsed: 0.004 s
% 0.60/0.84 % (18449)Instructions burned: 3 (million)
% 0.60/0.84 % (18354)Success in time 0.462 s
% 0.60/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------