TSTP Solution File: SET090-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 15:05:34 EDT 2024
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f659,plain,
$false,
inference(trivial_inequality_removal,[],[f656]) ).
fof(f656,plain,
u != u,
inference(superposition,[],[f135,f615]) ).
fof(f615,plain,
u = member_of(singleton(u)),
inference(resolution,[],[f609,f134]) ).
fof(f134,axiom,
member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).
fof(f609,plain,
( ~ member(u,universal_class)
| u = member_of(singleton(u)) ),
inference(resolution,[],[f576,f122]) ).
fof(f122,axiom,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).
fof(f576,plain,
! [X0] :
( ~ member(X0,singleton(u))
| member_of(singleton(u)) = X0 ),
inference(superposition,[],[f125,f562]) ).
fof(f562,plain,
singleton(u) = singleton(member_of(singleton(u))),
inference(resolution,[],[f131,f134]) ).
fof(f131,axiom,
! [X1] :
( ~ member(X1,universal_class)
| singleton(X1) = singleton(member_of(singleton(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_exists2) ).
fof(f125,axiom,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f135,axiom,
u != member_of(singleton(u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 01:13:33 EDT 2024
% 0.18/0.36 % CPUTime :
% 0.18/0.36 % (15926)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (15930)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.38 % (15929)WARNING: value z3 for option sas not known
% 0.18/0.38 % (15929)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)
% 0.18/0.38 % (15932)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)
% 0.18/0.38 % (15931)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)
% 0.18/0.38 % (15933)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)
% 0.18/0.38 % (15928)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.38 % (15927)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.40 % (15932)First to succeed.
% 0.18/0.40 % (15932)Refutation found. Thanks to Tanya!
% 0.18/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.40 % (15932)------------------------------
% 0.18/0.40 % (15932)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.40 % (15932)Termination reason: Refutation
% 0.18/0.40
% 0.18/0.40 % (15932)Memory used [KB]: 1221
% 0.18/0.40 % (15932)Time elapsed: 0.023 s
% 0.18/0.40 % (15932)Instructions burned: 38 (million)
% 0.18/0.40 % (15932)------------------------------
% 0.18/0.40 % (15932)------------------------------
% 0.18/0.40 % (15926)Success in time 0.041 s
%------------------------------------------------------------------------------