TSTP Solution File: NUN089+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 08:45:09 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 66 ( 13 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 76 ( 29 ~; 19 |; 24 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 39 ( 23 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(subsumption_resolution,[],[f139,f113]) ).
fof(f113,plain,
r1(sK0),
inference(superposition,[],[f63,f62]) ).
fof(f62,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( r1(sK1)
& sK0 = sK1
& r2(sK2,sK0)
& r2(sK3,sK2)
& r1(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f25,f29,f28,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( r2(X2,X0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) )
=> ( ? [X1] :
( r1(X1)
& sK0 = X1 )
& ? [X2] :
( r2(X2,sK0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X1] :
( r1(X1)
& sK0 = X1 )
=> ( r1(sK1)
& sK0 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X2] :
( r2(X2,sK0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) )
=> ( r2(sK2,sK0)
& ? [X3] :
( r2(X3,sK2)
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X3] :
( r2(X3,sK2)
& r1(X3) )
=> ( r2(sK3,sK2)
& r1(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( r1(X1)
& X0 = X1 )
& ? [X2] :
( r2(X2,X0)
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( ! [X1] :
( ~ r1(X1)
| X0 != X1 )
| ! [X2] :
( ~ r2(X2,X0)
| ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
| ! [X21] :
( ~ r2(X21,X38)
| ! [X22] :
( ~ r2(X22,X21)
| ~ r1(X22) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X38] :
( ! [X15] :
( ~ r1(X15)
| X15 != X38 )
| ! [X21] :
( ~ r2(X21,X38)
| ! [X22] :
( ~ r2(X22,X21)
| ~ r1(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerouneqtwo) ).
fof(f63,plain,
r1(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f139,plain,
~ r1(sK0),
inference(resolution,[],[f105,f61]) ).
fof(f61,plain,
r2(sK2,sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f105,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n029.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 : Fri May 3 18:52:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (26621)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (26624)WARNING: value z3 for option sas not known
% 0.12/0.36 % (26624)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)
% 0.12/0.36 % (26626)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)
% 0.12/0.36 % (26625)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (26623)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (26628)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)
% 0.12/0.36 % (26627)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)
% 0.12/0.37 % (26624)First to succeed.
% 0.12/0.37 TRYING [1]
% 0.12/0.37 % (26624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26621"
% 0.12/0.37 % (26626)Also succeeded, but the first one will report.
% 0.12/0.37 % (26628)Also succeeded, but the first one will report.
% 0.12/0.37 % (26622)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 % (26627)Also succeeded, but the first one will report.
% 0.12/0.37 TRYING [2]
% 0.12/0.37 % (26624)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (26624)------------------------------
% 0.12/0.37 % (26624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (26624)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (26624)Memory used [KB]: 862
% 0.12/0.37 % (26624)Time elapsed: 0.005 s
% 0.12/0.37 % (26624)Instructions burned: 5 (million)
% 0.12/0.37 % (26621)Success in time 0.018 s
%------------------------------------------------------------------------------