TSTP Solution File: SET082-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET082-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n016.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 09:03:43 EDT 2024
% Result : Unsatisfiable 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 55 ( 5 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 14 ( 5 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 33 ( 33 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 14 ( 13 !; 0 ?; 14 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f225,plain,
$false,
inference(subsumption_resolution,[],[f224,f126]) ).
tff(f126,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox/tmp/tmp.L1cFx19QWD/Vampire---4.8_10881',prove_singleton_is_null_class_1) ).
tff(f224,plain,
member(x,universal_class),
inference(duplicate_literal_removal,[],[f219]) ).
tff(f219,plain,
( member(x,universal_class)
| member(x,universal_class) ),
inference(resolution,[],[f218,f155]) ).
tff(f155,plain,
~ sQ0_eqProxy($i,null_class,unordered_pair(x,x)),
inference(equality_proxy_replacement,[],[f129,f154]) ).
tff(f154,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f129,plain,
null_class != unordered_pair(x,x),
inference(definition_unfolding,[],[f127,f12]) ).
tff(f12,axiom,
! [X0: $i] : ( unordered_pair(X0,X0) = singleton(X0) ),
file('/export/starexec/sandbox/tmp/tmp.L1cFx19QWD/Vampire---4.8_10881',singleton_set) ).
tff(f127,axiom,
null_class != singleton(x),
file('/export/starexec/sandbox/tmp/tmp.L1cFx19QWD/Vampire---4.8_10881',prove_singleton_is_null_class_2) ).
tff(f218,plain,
! [X0: $i,X1: $i] :
( sQ0_eqProxy($i,null_class,unordered_pair(X0,X1))
| member(X1,universal_class)
| member(X0,universal_class) ),
inference(forward_literal_rewriting,[],[f161,f174]) ).
tff(f174,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f154]) ).
tff(f161,plain,
! [X0: $i,X1: $i] :
( member(X1,universal_class)
| member(X0,universal_class)
| sQ0_eqProxy($i,unordered_pair(X0,X1),null_class) ),
inference(equality_proxy_replacement,[],[f113,f154]) ).
tff(f113,axiom,
! [X0: $i,X1: $i] :
( member(X1,universal_class)
| member(X0,universal_class)
| ( unordered_pair(X0,X1) = null_class ) ),
file('/export/starexec/sandbox/tmp/tmp.L1cFx19QWD/Vampire---4.8_10881',null_unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET082-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:59:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 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.L1cFx19QWD/Vampire---4.8_10881
% 0.59/0.75 % (11144)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)
% 0.59/0.75 % (11147)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)
% 0.59/0.75 % (11146)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (11145)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)
% 0.59/0.75 % (11150)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)
% 0.59/0.75 % (11148)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)
% 0.59/0.75 % (11149)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)
% 0.59/0.75 % (11151)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)
% 0.59/0.75 % (11144)First to succeed.
% 0.59/0.75 % (11144)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11133"
% 0.59/0.75 % (11149)Also succeeded, but the first one will report.
% 0.59/0.75 % (11147)Also succeeded, but the first one will report.
% 0.59/0.75 % (11144)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (11144)------------------------------
% 0.59/0.75 % (11144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (11144)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (11144)Memory used [KB]: 1095
% 0.59/0.75 % (11144)Time elapsed: 0.003 s
% 0.59/0.75 % (11144)Instructions burned: 6 (million)
% 0.59/0.75 % (11133)Success in time 0.393 s
% 0.59/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------