TSTP Solution File: SET192-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET192-6 : 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 : n016.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 15:07:07 EDT 2024
% Result : Unsatisfiable 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 18 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f453,plain,
$false,
inference(resolution,[],[f443,f114]) ).
fof(f114,axiom,
~ subclass(complement(y),complement(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property9_2) ).
fof(f443,plain,
subclass(complement(y),complement(x)),
inference(resolution,[],[f436,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f436,plain,
! [X0] : ~ member(not_subclass_element(complement(y),complement(x)),X0),
inference(resolution,[],[f418,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f418,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(complement(y),complement(x)),X0) ),
inference(resolution,[],[f414,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f414,plain,
~ member(not_subclass_element(complement(y),complement(x)),universal_class),
inference(resolution,[],[f413,f292]) ).
fof(f292,plain,
( member(not_subclass_element(complement(y),complement(x)),x)
| ~ member(not_subclass_element(complement(y),complement(x)),universal_class) ),
inference(resolution,[],[f25,f124]) ).
fof(f124,plain,
~ member(not_subclass_element(complement(y),complement(x)),complement(x)),
inference(resolution,[],[f3,f114]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f413,plain,
~ member(not_subclass_element(complement(y),complement(x)),x),
inference(resolution,[],[f404,f113]) ).
fof(f113,axiom,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property9_1) ).
fof(f404,plain,
! [X0] :
( ~ subclass(X0,y)
| ~ member(not_subclass_element(complement(y),complement(x)),X0) ),
inference(resolution,[],[f387,f1]) ).
fof(f387,plain,
~ member(not_subclass_element(complement(y),complement(x)),y),
inference(resolution,[],[f123,f114]) ).
fof(f123,plain,
! [X0,X1] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(resolution,[],[f2,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET192-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n016.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 01:52:40 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (26097)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (26100)WARNING: value z3 for option sas not known
% 0.20/0.38 % (26100)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)
% 0.20/0.38 % (26104)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)
% 0.20/0.38 % (26099)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (26102)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)
% 0.20/0.38 % (26101)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (26103)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)
% 0.20/0.39 % (26098)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.40 % (26103)First to succeed.
% 0.20/0.40 % (26103)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (26103)------------------------------
% 0.20/0.40 % (26103)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40 % (26103)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (26103)Memory used [KB]: 1221
% 0.20/0.40 % (26103)Time elapsed: 0.023 s
% 0.20/0.40 % (26103)Instructions burned: 36 (million)
% 0.20/0.40 % (26103)------------------------------
% 0.20/0.40 % (26103)------------------------------
% 0.20/0.40 % (26097)Success in time 0.042 s
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