TSTP Solution File: SET090-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET090-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 18:19:05 EDT 2022
% Result : Unsatisfiable 1.21s 0.67s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
$false,
inference(subsumption_resolution,[],[f143,f137]) ).
fof(f137,plain,
member(u,singleton(u)),
inference(unit_resulting_resolution,[],[f134,f122]) ).
fof(f122,axiom,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
fof(f134,axiom,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).
fof(f143,plain,
~ member(u,singleton(u)),
inference(forward_demodulation,[],[f141,f136]) ).
fof(f136,plain,
singleton(u) = singleton(member_of(singleton(u))),
inference(unit_resulting_resolution,[],[f134,f131]) ).
fof(f131,axiom,
! [X1] :
( ~ member(X1,universal_class)
| singleton(X1) = singleton(member_of(singleton(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_exists2) ).
fof(f141,plain,
~ member(u,singleton(member_of(singleton(u)))),
inference(unit_resulting_resolution,[],[f135,f125]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f135,axiom,
u != member_of(singleton(u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET090-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:25:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 ipcrm: permission denied for id (664633345)
% 0.14/0.37 ipcrm: permission denied for id (664666125)
% 0.14/0.38 ipcrm: permission denied for id (664698904)
% 0.14/0.40 ipcrm: permission denied for id (664797226)
% 0.14/0.41 ipcrm: permission denied for id (664829999)
% 0.20/0.51 ipcrm: permission denied for id (665124986)
% 1.21/0.67 % (27329)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.21/0.67 % (27327)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.21/0.67 % (27327)First to succeed.
% 1.21/0.67 % (27327)Refutation found. Thanks to Tanya!
% 1.21/0.67 % SZS status Unsatisfiable for theBenchmark
% 1.21/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.67 % (27327)------------------------------
% 1.21/0.67 % (27327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.67 % (27327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.67 % (27327)Termination reason: Refutation
% 1.21/0.67
% 1.21/0.67 % (27327)Memory used [KB]: 5884
% 1.21/0.67 % (27327)Time elapsed: 0.109 s
% 1.21/0.67 % (27327)Instructions burned: 2 (million)
% 1.21/0.67 % (27327)------------------------------
% 1.21/0.67 % (27327)------------------------------
% 1.21/0.67 % (27092)Success in time 0.328 s
%------------------------------------------------------------------------------