TSTP Solution File: NUN069+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN069+2 : TPTP v8.2.0. Released v7.3.0.
% 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 : n032.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 : Tue May 21 02:17:11 EDT 2024
% Result : Theorem 0.51s 0.67s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 67 ( 26 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 79 ( 34 ~; 18 |; 24 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 40 ( 29 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(resolution,[],[f61,f47]) ).
fof(f47,plain,
! [X0] : r2(X0,sK4(X0)),
inference(equality_resolution,[],[f39]) ).
fof(f39,plain,
! [X2,X0] :
( r2(X0,X2)
| sK4(X0) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2] :
( ( sK4(X0) = X2
& r2(X0,X2) )
| ( sK4(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f18,f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK4(X0) = X2
& r2(X0,X2) )
| ( sK4(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f61,plain,
! [X0] : ~ r2(sK3,X0),
inference(resolution,[],[f59,f44]) ).
fof(f44,plain,
r1(sK3),
inference(equality_resolution,[],[f34]) ).
fof(f34,plain,
! [X1] :
( r1(X1)
| sK3 != X1 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1] :
( ( sK3 = X1
& r1(X1) )
| ( sK3 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f1,f23]) ).
fof(f23,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK3 = X1
& r1(X1) )
| ( sK3 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f59,plain,
! [X0,X1] :
( ~ r1(X1)
| ~ r2(X1,X0) ),
inference(subsumption_resolution,[],[f49,f58]) ).
fof(f58,plain,
! [X0] : sQ5_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f49,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1)
| ~ sQ5_eqProxy(X0,X0) ),
inference(equality_proxy_replacement,[],[f27,f48]) ).
fof(f27,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1)
| X0 != X0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ~ r1(X1) )
| X0 != X0 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& X0 = X0 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X21] :
( r2(X21,X38)
& r1(X21) )
& X38 = X38 ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X21] :
( r2(X21,X38)
& r1(X21) )
& X38 = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneeqone) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN069+2 : TPTP v8.2.0. Released v7.3.0.
% 0.03/0.12 % 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
% 0.11/0.31 % Computer : n032.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 : Sat May 18 14:56:22 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 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/benchmark/theBenchmark.p
% 0.51/0.67 % (17555)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.51/0.67 % (17550)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.51/0.67 % (17548)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 theBenchmark for (2996ds/34Mi)
% 0.51/0.67 % (17551)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.51/0.67 % (17549)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 theBenchmark for (2996ds/51Mi)
% 0.51/0.67 % (17551)Also succeeded, but the first one will report.
% 0.51/0.67 % (17555)First to succeed.
% 0.51/0.67 % (17555)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17547"
% 0.51/0.67 % (17550)Also succeeded, but the first one will report.
% 0.51/0.67 % (17555)Refutation found. Thanks to Tanya!
% 0.51/0.67 % SZS status Theorem for theBenchmark
% 0.51/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.51/0.67 % (17555)------------------------------
% 0.51/0.67 % (17555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.67 % (17555)Termination reason: Refutation
% 0.51/0.67
% 0.51/0.67 % (17555)Memory used [KB]: 995
% 0.51/0.67 % (17555)Time elapsed: 0.003 s
% 0.51/0.67 % (17555)Instructions burned: 3 (million)
% 0.51/0.67 % (17547)Success in time 0.344 s
% 0.51/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------