TSTP Solution File: SET012-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 09:09:24 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 36 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(subsumption_resolution,[],[f306,f303]) ).
fof(f303,plain,
member(f1(as,cs),bs),
inference(forward_demodulation,[],[f301,f9]) ).
fof(f9,axiom,
complement(as) = bs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_is_b) ).
fof(f301,plain,
member(f1(as,cs),complement(as)),
inference(unit_resulting_resolution,[],[f12,f275,f6]) ).
fof(f6,axiom,
! [X2,X0] :
( ~ little_set(X2)
| member(X2,X0)
| member(X2,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f275,plain,
~ member(f1(as,cs),as),
inference(subsumption_resolution,[],[f274,f25]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[],[f5,f9]) ).
fof(f5,axiom,
! [X2,X0] :
( ~ member(X2,complement(X0))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f274,plain,
( ~ member(f1(as,cs),as)
| member(f1(as,cs),bs) ),
inference(subsumption_resolution,[],[f269,f11]) ).
fof(f11,axiom,
as != cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f269,plain,
( as = cs
| ~ member(f1(as,cs),as)
| member(f1(as,cs),bs) ),
inference(resolution,[],[f4,f124]) ).
fof(f124,plain,
( member(f1(as,cs),cs)
| member(f1(as,cs),bs) ),
inference(superposition,[],[f37,f10]) ).
fof(f10,axiom,
complement(bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_b_is_c) ).
fof(f37,plain,
! [X0] :
( member(f1(as,cs),complement(X0))
| member(f1(as,cs),X0) ),
inference(resolution,[],[f6,f12]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| X0 = X1
| ~ member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f12,plain,
little_set(f1(as,cs)),
inference(unit_resulting_resolution,[],[f11,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( little_set(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality1) ).
fof(f306,plain,
~ member(f1(as,cs),bs),
inference(unit_resulting_resolution,[],[f300,f26]) ).
fof(f26,plain,
! [X0] :
( ~ member(X0,cs)
| ~ member(X0,bs) ),
inference(superposition,[],[f5,f10]) ).
fof(f300,plain,
member(f1(as,cs),cs),
inference(unit_resulting_resolution,[],[f11,f275,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET012-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.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 16:49:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (21100)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21102)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (21106)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)
% 0.14/0.37 % (21103)WARNING: value z3 for option sas not known
% 0.14/0.37 % (21101)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (21104)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (21103)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)
% 0.14/0.37 % (21105)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)
% 0.14/0.37 % (21107)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (21107)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (21107)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21100"
% 0.14/0.38 % (21106)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (21107)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (21107)------------------------------
% 0.14/0.38 % (21107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (21107)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (21107)Memory used [KB]: 835
% 0.14/0.38 % (21107)Time elapsed: 0.009 s
% 0.14/0.38 % (21107)Instructions burned: 15 (million)
% 0.14/0.38 % (21100)Success in time 0.024 s
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