TSTP Solution File: SET091+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 09:11:06 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 55 ( 41 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 62 ( 28 ~; 14 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 26 ( 17 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f305,plain,
$false,
inference(trivial_inequality_removal,[],[f302]) ).
fof(f302,plain,
sK0 != sK0,
inference(superposition,[],[f245,f299]) ).
fof(f299,plain,
sK0 = member_of(sK0),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
( sK0 = member_of(sK0)
| sK0 = member_of(sK0) ),
inference(resolution,[],[f297,f158]) ).
fof(f158,plain,
! [X0] :
( member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( member_of(X0) = X0
| member(member_of(X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_universal_self) ).
fof(f297,plain,
( ~ member(member_of(sK0),universal_class)
| sK0 = member_of(sK0) ),
inference(equality_resolution,[],[f296]) ).
fof(f296,plain,
! [X0] :
( sK0 != X0
| ~ member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(superposition,[],[f145,f159]) ).
fof(f159,plain,
! [X0] :
( singleton(member_of(X0)) = X0
| member_of(X0) = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_self) ).
fof(f145,plain,
! [X2] :
( singleton(X2) != sK0
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( sK1 != member_of(sK0)
& sK0 = sK1
& ! [X2] :
( singleton(X2) != sK0
| ~ member(X2,universal_class) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f79,f95]) ).
fof(f95,plain,
( ? [X0,X1] :
( member_of(X0) != X1
& X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) ) )
=> ( sK1 != member_of(sK0)
& sK0 = sK1
& ! [X2] :
( singleton(X2) != sK0
| ~ member(X2,universal_class) ) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1] :
( member_of(X0) != X1
& X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X0,X1] :
( member_of(X0) != X1
& X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] :
( ( X0 = X1
& ~ ? [X2] :
( singleton(X2) = X0
& member(X2,universal_class) ) )
=> member_of(X0) = X1 ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X2] :
( ( X0 = X2
& ~ ? [X1] :
( singleton(X1) = X0
& member(X1,universal_class) ) )
=> member_of(X0) = X2 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X2] :
( ( X0 = X2
& ~ ? [X1] :
( singleton(X1) = X0
& member(X1,universal_class) ) )
=> member_of(X0) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_when_not_a_singleton) ).
fof(f245,plain,
sK0 != member_of(sK0),
inference(forward_demodulation,[],[f147,f146]) ).
fof(f146,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f96]) ).
fof(f147,plain,
sK1 != member_of(sK0),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:36:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (20414)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (20417)WARNING: value z3 for option sas not known
% 0.15/0.38 % (20418)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (20415)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (20419)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)
% 0.15/0.38 % (20420)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)
% 0.15/0.38 % (20416)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (20417)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)
% 0.15/0.38 % (20421)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)
% 0.15/0.39 % (20420)First to succeed.
% 0.15/0.39 % (20420)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20414"
% 0.15/0.39 % (20417)Also succeeded, but the first one will report.
% 0.15/0.39 % (20420)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (20420)------------------------------
% 0.15/0.39 % (20420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (20420)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (20420)Memory used [KB]: 959
% 0.15/0.39 % (20420)Time elapsed: 0.010 s
% 0.15/0.39 % (20420)Instructions burned: 13 (million)
% 0.15/0.39 % (20414)Success in time 0.027 s
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