TSTP Solution File: SET442-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET442-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:24:42 EDT 2022
% Result : Unsatisfiable 1.80s 0.59s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 49 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(subsumption_resolution,[],[f309,f260]) ).
fof(f260,plain,
member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),cross_product(universal_class,universal_class)),
inference(resolution,[],[f255,f209]) ).
fof(f209,plain,
! [X25] :
( ~ member(X25,xf)
| member(X25,cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f1,f184]) ).
fof(f184,plain,
subclass(xf,cross_product(universal_class,universal_class)),
inference(resolution,[],[f62,f113]) ).
fof(f113,axiom,
function(xf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_1) ).
fof(f62,axiom,
! [X8] :
( ~ function(X8)
| subclass(X8,cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f255,plain,
member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),xf),
inference(subsumption_resolution,[],[f252,f246]) ).
fof(f246,plain,
( ~ member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),xf)
| member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),xf) ),
inference(resolution,[],[f242,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f242,plain,
( ~ subclass(xf,intersection(cross_product(universal_class,universal_class),xf))
| ~ member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),xf) ),
inference(resolution,[],[f223,f3]) ).
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(f223,plain,
( ~ subclass(intersection(cross_product(universal_class,universal_class),xf),xf)
| ~ subclass(xf,intersection(cross_product(universal_class,universal_class),xf)) ),
inference(extensionality_resolution,[],[f7,f157]) ).
fof(f157,plain,
xf != intersection(cross_product(universal_class,universal_class),xf),
inference(definition_unfolding,[],[f114,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(f114,axiom,
xf != restrict(xf,universal_class,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restrict_a_function_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f252,plain,
( member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),xf)
| member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),xf) ),
inference(resolution,[],[f251,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f251,plain,
( member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),intersection(cross_product(universal_class,universal_class),xf))
| member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),xf) ),
inference(resolution,[],[f243,f2]) ).
fof(f243,plain,
( ~ subclass(xf,intersection(cross_product(universal_class,universal_class),xf))
| member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),intersection(cross_product(universal_class,universal_class),xf)) ),
inference(resolution,[],[f223,f2]) ).
fof(f309,plain,
~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),cross_product(universal_class,universal_class)),
inference(subsumption_resolution,[],[f306,f255]) ).
fof(f306,plain,
( ~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),xf)
| ~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f23,f259]) ).
fof(f259,plain,
~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),intersection(cross_product(universal_class,universal_class),xf)),
inference(subsumption_resolution,[],[f256,f245]) ).
fof(f245,plain,
( ~ member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),xf)
| ~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),intersection(cross_product(universal_class,universal_class),xf)) ),
inference(resolution,[],[f242,f3]) ).
fof(f256,plain,
( member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),xf)
| ~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),intersection(cross_product(universal_class,universal_class),xf)) ),
inference(resolution,[],[f250,f22]) ).
fof(f250,plain,
( member(not_subclass_element(intersection(cross_product(universal_class,universal_class),xf),xf),intersection(cross_product(universal_class,universal_class),xf))
| ~ member(not_subclass_element(xf,intersection(cross_product(universal_class,universal_class),xf)),intersection(cross_product(universal_class,universal_class),xf)) ),
inference(resolution,[],[f243,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 v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:51:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (9151)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (9152)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (9152)Instruction limit reached!
% 0.20/0.55 % (9152)------------------------------
% 0.20/0.55 % (9152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (9167)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56 % (9168)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (9159)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (9160)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.41/0.57 % (9152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (9152)Termination reason: Unknown
% 1.41/0.57 % (9152)Termination phase: Saturation
% 1.41/0.57
% 1.41/0.58 % (9152)Memory used [KB]: 5500
% 1.41/0.58 % (9152)Time elapsed: 0.130 s
% 1.41/0.58 % (9152)Instructions burned: 7 (million)
% 1.41/0.58 % (9152)------------------------------
% 1.41/0.58 % (9152)------------------------------
% 1.80/0.59 % (9167)First to succeed.
% 1.80/0.59 % (9167)Refutation found. Thanks to Tanya!
% 1.80/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.80/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.60 % (9167)------------------------------
% 1.80/0.60 % (9167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (9167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (9167)Termination reason: Refutation
% 1.80/0.60
% 1.80/0.60 % (9167)Memory used [KB]: 1151
% 1.80/0.60 % (9167)Time elapsed: 0.162 s
% 1.80/0.60 % (9167)Instructions burned: 13 (million)
% 1.80/0.60 % (9167)------------------------------
% 1.80/0.60 % (9167)------------------------------
% 1.80/0.60 % (9144)Success in time 0.243 s
%------------------------------------------------------------------------------