TSTP Solution File: SET086+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET086+1 : TPTP v8.1.2. 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 Apr 30 15:05:33 EDT 2024
% Result : Theorem 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 48 ( 28 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 56 ( 21 ~; 14 |; 19 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 22 ( 10 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f264,plain,
$false,
inference(unit_resulting_resolution,[],[f238,f237,f144]) ).
fof(f144,plain,
! [X1] :
( ~ member(X1,universal_class)
| singleton(X1) != sK2 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X1] :
( ( sK2 != X1
| ( sK2 = singleton(sK3)
& member(sK3,universal_class) ) )
& ( singleton(X1) != sK2
| ~ member(X1,universal_class) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f72,f91,f90]) ).
fof(f90,plain,
( ? [X0] :
! [X1] :
( ( X0 != X1
| ? [X2] :
( singleton(X2) = X0
& member(X2,universal_class) ) )
& ( singleton(X1) != X0
| ~ member(X1,universal_class) ) )
=> ! [X1] :
( ( sK2 != X1
| ? [X2] :
( singleton(X2) = sK2
& member(X2,universal_class) ) )
& ( singleton(X1) != sK2
| ~ member(X1,universal_class) ) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X2] :
( singleton(X2) = sK2
& member(X2,universal_class) )
=> ( sK2 = singleton(sK3)
& member(sK3,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
! [X1] :
( ( X0 != X1
| ? [X2] :
( singleton(X2) = X0
& member(X2,universal_class) ) )
& ( singleton(X1) != X0
| ~ member(X1,universal_class) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
? [X1] :
( ( X0 = X1
& ~ ? [X2] :
( singleton(X2) = X0
& member(X2,universal_class) ) )
| ( singleton(X1) = X0
& member(X1,universal_class) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
? [X2] :
( ( X0 = X2
& ~ ? [X1] :
( singleton(X1) = X0
& member(X1,universal_class) ) )
| ( singleton(X2) = X0
& member(X2,universal_class) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
? [X2] :
( ( X0 = X2
& ~ ? [X1] :
( singleton(X1) = X0
& member(X1,universal_class) ) )
| ( singleton(X2) = X0
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_substitution) ).
fof(f237,plain,
sK2 = singleton(sK3),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X1] :
( sK2 != X1
| sK2 = singleton(sK3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f238,plain,
member(sK3,universal_class),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X1] :
( sK2 != X1
| member(sK3,universal_class) ),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Tue Apr 30 01:42:18 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (22700)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.39 % (22701)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.39 % (22707)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)
% 0.23/0.39 % (22703)WARNING: value z3 for option sas not known
% 0.23/0.39 % (22704)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.40 % (22703)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)
% 0.23/0.40 % (22702)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.40 % (22705)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)
% 0.23/0.40 % (22706)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)
% 0.23/0.40 % (22707)First to succeed.
% 0.23/0.40 % (22707)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (22707)------------------------------
% 0.23/0.40 % (22707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.40 % (22707)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (22707)Memory used [KB]: 941
% 0.23/0.40 % (22707)Time elapsed: 0.008 s
% 0.23/0.40 % (22707)Instructions burned: 9 (million)
% 0.23/0.40 % (22707)------------------------------
% 0.23/0.40 % (22707)------------------------------
% 0.23/0.40 % (22700)Success in time 0.03 s
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