TSTP Solution File: RNG102+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 Apr 30 14:52:24 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 43 ( 16 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 37 ( 8 ~; 3 |; 24 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f298,plain,
$false,
inference(resolution,[],[f297,f185]) ).
fof(f185,plain,
aElement0(sK9),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& xy = sdtasdt0(xc,sK9)
& aElement0(sK9)
& aElementOf0(xx,slsdtgt0(xc))
& xx = sdtasdt0(xc,sK10)
& aElement0(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f43,f118,f117]) ).
fof(f117,plain,
( ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
=> ( xy = sdtasdt0(xc,sK9)
& aElement0(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) )
=> ( xx = sdtasdt0(xc,sK10)
& aElement0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f297,plain,
~ aElement0(sK9),
inference(trivial_inequality_removal,[],[f296]) ).
fof(f296,plain,
( xy != xy
| ~ aElement0(sK9) ),
inference(superposition,[],[f178,f186]) ).
fof(f186,plain,
xy = sdtasdt0(xc,sK9),
inference(cnf_transformation,[],[f119]) ).
fof(f178,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 02:04:26 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (4904)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (4907)WARNING: value z3 for option sas not known
% 0.18/0.36 % (4907)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.36 % (4906)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (4908)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (4911)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.18/0.36 % (4910)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.18/0.36 % (4909)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.18/0.37 % (4910)First to succeed.
% 0.18/0.37 % (4905)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37 % (4909)Also succeeded, but the first one will report.
% 0.18/0.37 % (4907)Also succeeded, but the first one will report.
% 0.18/0.37 % (4910)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37 % (4910)------------------------------
% 0.18/0.37 % (4910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.37 % (4910)Termination reason: Refutation
% 0.18/0.37
% 0.18/0.37 % (4910)Memory used [KB]: 950
% 0.18/0.37 % (4910)Time elapsed: 0.007 s
% 0.18/0.37 % (4910)Instructions burned: 10 (million)
% 0.18/0.37 % (4910)------------------------------
% 0.18/0.37 % (4910)------------------------------
% 0.18/0.37 % (4904)Success in time 0.023 s
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