TSTP Solution File: SET064-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET064-6 : 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 : n006.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 09:10:52 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 33 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f743,plain,
$false,
inference(trivial_inequality_removal,[],[f742]) ).
fof(f742,plain,
null_class != null_class,
inference(superposition,[],[f92,f463]) ).
fof(f463,plain,
null_class = z,
inference(duplicate_literal_removal,[],[f452]) ).
fof(f452,plain,
( null_class = z
| null_class = z ),
inference(resolution,[],[f440,f156]) ).
fof(f156,plain,
( ~ subclass(null_class,z)
| null_class = z ),
inference(resolution,[],[f7,f101]) ).
fof(f101,plain,
subclass(z,null_class),
inference(resolution,[],[f2,f93]) ).
fof(f93,axiom,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f440,plain,
( subclass(null_class,z)
| null_class = z ),
inference(resolution,[],[f436,f2]) ).
fof(f436,plain,
( ~ member(not_subclass_element(null_class,z),null_class)
| null_class = z ),
inference(duplicate_literal_removal,[],[f410]) ).
fof(f410,plain,
( ~ member(not_subclass_element(null_class,z),null_class)
| null_class = z
| null_class = z ),
inference(resolution,[],[f246,f173]) ).
fof(f173,plain,
( ~ member(not_subclass_element(null_class,z),z)
| null_class = z ),
inference(resolution,[],[f156,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f246,plain,
! [X0,X1] :
( member(X1,X0)
| ~ member(X1,null_class)
| null_class = X0 ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f92,axiom,
null_class != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET064-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:23:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (27129)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (27134)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)
% 0.20/0.37 % (27132)WARNING: value z3 for option sas not known
% 0.20/0.37 % (27130)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (27131)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (27133)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (27135)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)
% 0.20/0.37 % (27132)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)
% 0.20/0.37 % (27136)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)
% 0.20/0.40 TRYING [1]
% 0.20/0.41 % (27135)First to succeed.
% 0.20/0.41 TRYING [2]
% 0.20/0.41 % (27135)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27129"
% 0.20/0.41 % (27135)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (27135)------------------------------
% 0.20/0.41 % (27135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (27135)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (27135)Memory used [KB]: 1238
% 0.20/0.41 % (27135)Time elapsed: 0.036 s
% 0.20/0.41 % (27135)Instructions burned: 60 (million)
% 0.20/0.41 % (27129)Success in time 0.055 s
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