TSTP Solution File: SET017+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET017+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 03:14:42 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 89 ( 45 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 25 ~; 21 |; 29 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 35 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1318,plain,
$false,
inference(subsumption_resolution,[],[f1304,f1201]) ).
fof(f1201,plain,
sK0 != sK1,
inference(superposition,[],[f140,f1198]) ).
fof(f1198,plain,
sK0 = sK2,
inference(subsumption_resolution,[],[f1181,f140]) ).
fof(f1181,plain,
( sK0 = sK2
| sK1 = sK2 ),
inference(resolution,[],[f208,f294]) ).
fof(f294,plain,
member(sK2,unordered_pair(sK0,sK1)),
inference(subsumption_resolution,[],[f292,f138]) ).
fof(f138,plain,
member(sK2,universal_class),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( sK1 != sK2
& unordered_pair(sK0,sK1) = unordered_pair(sK0,sK2)
& member(sK2,universal_class)
& member(sK1,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f73,f87]) ).
fof(f87,plain,
( ? [X0,X1,X2] :
( X1 != X2
& unordered_pair(X0,X1) = unordered_pair(X0,X2)
& member(X2,universal_class)
& member(X1,universal_class) )
=> ( sK1 != sK2
& unordered_pair(sK0,sK1) = unordered_pair(sK0,sK2)
& member(sK2,universal_class)
& member(sK1,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1,X2] :
( X1 != X2
& unordered_pair(X0,X1) = unordered_pair(X0,X2)
& member(X2,universal_class)
& member(X1,universal_class) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0,X1,X2] :
( X1 != X2
& unordered_pair(X0,X1) = unordered_pair(X0,X2)
& member(X2,universal_class)
& member(X1,universal_class) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = unordered_pair(X0,X2)
& member(X2,universal_class)
& member(X1,universal_class) )
=> X1 = X2 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X4] :
( ( unordered_pair(X0,X1) = unordered_pair(X0,X4)
& member(X4,universal_class)
& member(X1,universal_class) )
=> X1 = X4 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X4] :
( ( unordered_pair(X0,X1) = unordered_pair(X0,X4)
& member(X4,universal_class)
& member(X1,universal_class) )
=> X1 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
fof(f292,plain,
( member(sK2,unordered_pair(sK0,sK1))
| ~ member(sK2,universal_class) ),
inference(superposition,[],[f232,f139]) ).
fof(f139,plain,
unordered_pair(sK0,sK1) = unordered_pair(sK0,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f232,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X2
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f140,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f88]) ).
fof(f1304,plain,
sK0 = sK1,
inference(resolution,[],[f1197,f1239]) ).
fof(f1239,plain,
member(sK1,singleton(sK0)),
inference(subsumption_resolution,[],[f1228,f137]) ).
fof(f137,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f88]) ).
fof(f1228,plain,
( member(sK1,singleton(sK0))
| ~ member(sK1,universal_class) ),
inference(superposition,[],[f232,f1213]) ).
fof(f1213,plain,
unordered_pair(sK0,sK1) = singleton(sK0),
inference(forward_demodulation,[],[f1200,f146]) ).
fof(f146,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f1200,plain,
unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0),
inference(superposition,[],[f139,f1198]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f1195]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f208,f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET017+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 20 12:34:23 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % (9860)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (9863)WARNING: value z3 for option sas not known
% 0.13/0.35 % (9867)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)
% 0.13/0.35 % (9864)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (9866)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)
% 0.13/0.35 % (9861)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (9862)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (9863)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)
% 0.13/0.35 % (9865)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 % (9863)First to succeed.
% 0.13/0.39 % (9863)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9860"
% 0.13/0.39 % (9863)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (9863)------------------------------
% 0.13/0.39 % (9863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (9863)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (9863)Memory used [KB]: 1368
% 0.13/0.39 % (9863)Time elapsed: 0.038 s
% 0.13/0.39 % (9863)Instructions burned: 62 (million)
% 0.13/0.39 % (9860)Success in time 0.048 s
%------------------------------------------------------------------------------