TSTP Solution File: SYN413+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN413+1 : TPTP v8.2.0. Released v2.0.0.
% 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 : n007.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 08:22:19 EDT 2024
% Result : Theorem 0.65s 0.81s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 78 ( 29 ~; 22 |; 20 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 47 ( 33 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,plain,
$false,
inference(resolution,[],[f17,f13]) ).
fof(f13,plain,
! [X1] : f(X1,sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] : f(X1,sK0)
& ! [X2,X4] :
( ( f(X4,sK1(X2))
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,sK1(X2)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1] : f(X1,X0)
=> ! [X1] : f(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
! [X4] :
( ( f(X4,X3)
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,X3) ) )
=> ! [X4] :
( ( f(X4,sK1(X2))
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,sK1(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
! [X1] : f(X1,X0)
& ! [X2] :
? [X3] :
! [X4] :
( ( f(X4,X3)
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,X3) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X1)
| f(X2,X2)
| ~ f(X2,X0) )
& ( ( ~ f(X2,X2)
& f(X2,X0) )
| ~ f(X2,X1) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X1)
| f(X2,X2)
| ~ f(X2,X0) )
& ( ( ~ f(X2,X2)
& f(X2,X0) )
| ~ f(X2,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish256) ).
fof(f17,plain,
! [X0] : ~ f(sK1(X0),X0),
inference(subsumption_resolution,[],[f16,f11]) ).
fof(f11,plain,
! [X2,X4] :
( ~ f(X4,sK1(X2))
| ~ f(X4,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0] :
( f(sK1(X0),sK1(X0))
| ~ f(sK1(X0),X0) ),
inference(factoring,[],[f12]) ).
fof(f12,plain,
! [X2,X4] :
( f(X4,sK1(X2))
| f(X4,X4)
| ~ f(X4,X2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN413+1 : TPTP v8.2.0. Released v2.0.0.
% 0.08/0.14 % 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
% 0.15/0.35 % Computer : n007.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 : Mon May 20 15:00:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 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/benchmark/theBenchmark.p
% 0.65/0.81 % (21871)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.65/0.81 % (21873)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.65/0.81 % (21873)First to succeed.
% 0.65/0.81 % (21871)Also succeeded, but the first one will report.
% 0.65/0.81 % (21873)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21845"
% 0.65/0.81 % (21868)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 (2995ds/34Mi)
% 0.65/0.81 % (21870)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.65/0.81 % (21872)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 theBenchmark for (2995ds/34Mi)
% 0.65/0.81 % (21869)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 (2995ds/51Mi)
% 0.65/0.81 % (21873)Refutation found. Thanks to Tanya!
% 0.65/0.81 % SZS status Theorem for theBenchmark
% 0.65/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.81 % (21873)------------------------------
% 0.65/0.81 % (21873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (21873)Termination reason: Refutation
% 0.65/0.81
% 0.65/0.81 % (21873)Memory used [KB]: 971
% 0.65/0.81 % (21873)Time elapsed: 0.002 s
% 0.65/0.81 % (21873)Instructions burned: 2 (million)
% 0.65/0.81 % (21845)Success in time 0.443 s
% 0.65/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------