TSTP Solution File: SET510-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET510-6 : 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 : n032.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 09:14:02 EDT 2024
% Result : Unsatisfiable 3.42s 0.81s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 43 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22822,plain,
$false,
inference(subsumption_resolution,[],[f22821,f21776]) ).
fof(f21776,plain,
member(universal_class,null_class),
inference(forward_demodulation,[],[f21768,f21734]) ).
fof(f21734,plain,
null_class = intersection(singleton(universal_class),universal_class),
inference(superposition,[],[f3150,f21690]) ).
fof(f21690,plain,
universal_class = regular(singleton(universal_class)),
inference(unit_resulting_resolution,[],[f258,f13335]) ).
fof(f13335,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f13334]) ).
fof(f13334,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f258,plain,
member(regular(singleton(universal_class)),singleton(universal_class)),
inference(unit_resulting_resolution,[],[f113,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f113,axiom,
null_class != singleton(universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_singleton_is_null_class_1) ).
fof(f3150,plain,
null_class = intersection(singleton(universal_class),regular(singleton(universal_class))),
inference(unit_resulting_resolution,[],[f113,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f21768,plain,
member(universal_class,intersection(singleton(universal_class),universal_class)),
inference(unit_resulting_resolution,[],[f21709,f21707,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( ~ member(X4,X0)
| ~ member(X4,X1)
| member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f21707,plain,
member(universal_class,singleton(universal_class)),
inference(superposition,[],[f258,f21690]) ).
fof(f21709,plain,
member(universal_class,universal_class),
inference(superposition,[],[f1340,f21690]) ).
fof(f1340,plain,
member(regular(singleton(universal_class)),universal_class),
inference(unit_resulting_resolution,[],[f4,f258,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f22821,plain,
~ member(universal_class,null_class),
inference(forward_demodulation,[],[f22483,f21690]) ).
fof(f22483,plain,
~ member(regular(singleton(universal_class)),null_class),
inference(superposition,[],[f1493,f22348]) ).
fof(f22348,plain,
null_class = complement(universal_class),
inference(subsumption_resolution,[],[f22346,f21776]) ).
fof(f22346,plain,
( ~ member(universal_class,null_class)
| null_class = complement(universal_class) ),
inference(superposition,[],[f21720,f67]) ).
fof(f21720,plain,
! [X0] : ~ member(universal_class,intersection(complement(universal_class),X0)),
inference(superposition,[],[f1638,f21690]) ).
fof(f1638,plain,
! [X0] : ~ member(regular(singleton(universal_class)),intersection(complement(universal_class),X0)),
inference(unit_resulting_resolution,[],[f1493,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f1493,plain,
~ member(regular(singleton(universal_class)),complement(universal_class)),
inference(unit_resulting_resolution,[],[f1340,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 16:50:37 EDT 2024
% 0.13/0.29 % CPUTime :
% 0.13/0.29 % (6809)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.31 % (6810)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.31 % (6812)WARNING: value z3 for option sas not known
% 0.13/0.31 % (6811)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.31 % (6813)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.31 % (6812)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)
% 0.13/0.31 % (6814)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)
% 0.13/0.31 % (6815)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)
% 0.13/0.31 % (6816)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)
% 0.13/0.33 TRYING [1]
% 0.13/0.34 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.49 TRYING [4]
% 0.13/0.50 TRYING [1]
% 0.13/0.50 TRYING [2]
% 2.37/0.64 TRYING [3]
% 3.42/0.81 % (6816)First to succeed.
% 3.42/0.81 % (6816)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6809"
% 3.42/0.81 % (6816)Refutation found. Thanks to Tanya!
% 3.42/0.81 % SZS status Unsatisfiable for theBenchmark
% 3.42/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/0.81 % (6816)------------------------------
% 3.42/0.81 % (6816)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.42/0.81 % (6816)Termination reason: Refutation
% 3.42/0.81
% 3.42/0.81 % (6816)Memory used [KB]: 8945
% 3.42/0.81 % (6816)Time elapsed: 0.502 s
% 3.42/0.81 % (6816)Instructions burned: 985 (million)
% 3.42/0.81 % (6809)Success in time 0.518 s
%------------------------------------------------------------------------------