TSTP Solution File: SET442-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET442-6 : 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 : n022.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 09:13:39 EDT 2024
% Result : Unsatisfiable 20.42s 3.28s
% Output : Refutation 20.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 47 ( 21 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34916,plain,
$false,
inference(subsumption_resolution,[],[f34914,f114]) ).
fof(f114,axiom,
xf != restrict(xf,universal_class,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_2) ).
fof(f34914,plain,
xf = restrict(xf,universal_class,universal_class),
inference(resolution,[],[f32120,f113]) ).
fof(f113,axiom,
function(xf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_1) ).
fof(f32120,plain,
! [X0] :
( ~ function(X0)
| restrict(X0,universal_class,universal_class) = X0 ),
inference(forward_demodulation,[],[f32040,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f32040,plain,
! [X0] :
( intersection(cross_product(universal_class,universal_class),X0) = X0
| ~ function(X0) ),
inference(resolution,[],[f30101,f62]) ).
fof(f62,axiom,
! [X8] :
( subclass(X8,cross_product(universal_class,universal_class))
| ~ function(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function1) ).
fof(f30101,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f26635,f4046]) ).
fof(f4046,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X1,X0))
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f4031,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f4031,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f3991]) ).
fof(f3991,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f133,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f133,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,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(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f26635,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f26565]) ).
fof(f26565,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f12740,f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
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(f12740,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f12677]) ).
fof(f12677,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0))
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f746,f2]) ).
fof(f746,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET442-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n022.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 16:23:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (28006)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (28016)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)
% 0.20/0.38 % (28017)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 % (28013)WARNING: value z3 for option sas not known
% 0.20/0.38 % (28011)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (28015)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)
% 0.20/0.39 % (28013)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)
% 0.20/0.39 % (28014)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 % (28012)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.44 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.51 TRYING [3]
% 1.53/0.56 TRYING [1]
% 1.53/0.57 TRYING [2]
% 1.53/0.61 TRYING [4]
% 1.98/0.65 TRYING [3]
% 3.63/0.90 TRYING [5]
% 6.31/1.26 TRYING [4]
% 6.31/1.31 TRYING [1]
% 6.31/1.31 TRYING [2]
% 6.79/1.32 TRYING [3]
% 6.79/1.36 TRYING [4]
% 7.99/1.49 TRYING [5]
% 11.01/1.92 TRYING [6]
% 11.52/2.01 TRYING [6]
% 19.73/3.16 TRYING [7]
% 20.42/3.27 % (28013)First to succeed.
% 20.42/3.27 % (28013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28006"
% 20.42/3.28 % (28013)Refutation found. Thanks to Tanya!
% 20.42/3.28 % SZS status Unsatisfiable for theBenchmark
% 20.42/3.28 % SZS output start Proof for theBenchmark
% See solution above
% 20.42/3.28 % (28013)------------------------------
% 20.42/3.28 % (28013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 20.42/3.28 % (28013)Termination reason: Refutation
% 20.42/3.28
% 20.42/3.28 % (28013)Memory used [KB]: 65035
% 20.42/3.28 % (28013)Time elapsed: 2.889 s
% 20.42/3.28 % (28013)Instructions burned: 7428 (million)
% 20.42/3.28 % (28006)Success in time 2.865 s
%------------------------------------------------------------------------------