TSTP Solution File: SET411-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET411-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 May 21 03:18:43 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 20 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(resolution,[],[f236,f149]) ).
fof(f149,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[],[f144,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f144,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0) ),
inference(resolution,[],[f1,f114]) ).
fof(f114,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_2) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f236,plain,
member(x,y),
inference(resolution,[],[f234,f113]) ).
fof(f113,axiom,
member(ordered_pair(x,y),singleton_relation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compose_condition_for_singleton_membership1_1) ).
fof(f234,plain,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),singleton_relation)
| member(X0,X1) ),
inference(resolution,[],[f230,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),element_relation)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation2) ).
fof(f230,plain,
! [X0] :
( member(X0,element_relation)
| ~ member(X0,singleton_relation) ),
inference(superposition,[],[f22,f104]) ).
fof(f104,axiom,
intersection(complement(compose(element_relation,complement(identity_relation))),element_relation) = singleton_relation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_can_define_singleton) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET411-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 11:29:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (22654)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (22656)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (22658)WARNING: value z3 for option sas not known
% 0.14/0.38 % (22659)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (22657)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (22658)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)
% 0.14/0.38 % (22660)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)
% 0.14/0.38 % (22661)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)
% 0.14/0.38 % (22662)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)
% 0.14/0.39 % (22661)First to succeed.
% 0.14/0.39 % (22661)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22654"
% 0.14/0.40 % (22661)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (22661)------------------------------
% 0.14/0.40 % (22661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (22661)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (22661)Memory used [KB]: 1072
% 0.14/0.40 % (22661)Time elapsed: 0.011 s
% 0.14/0.40 % (22661)Instructions burned: 15 (million)
% 0.14/0.40 % (22654)Success in time 0.031 s
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