TSTP Solution File: SET185-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET185-6 : 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_uns --cores 0 -t %d %s
% Computer : n010.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 18:19:42 EDT 2022
% Result : Unsatisfiable 0.14s 0.51s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 12 unt; 0 def)
% Number of atoms : 100 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 55 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,plain,
$false,
inference(subsumption_resolution,[],[f387,f370]) ).
fof(f370,plain,
member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y),
inference(subsumption_resolution,[],[f369,f243]) ).
fof(f243,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y) ),
inference(resolution,[],[f194,f234]) ).
fof(f234,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y) ),
inference(resolution,[],[f230,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(f230,plain,
( ~ subclass(y,complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f210,f2]) ).
fof(f210,plain,
( ~ subclass(complement(intersection(complement(x),complement(y))),y)
| ~ subclass(y,complement(intersection(complement(x),complement(y)))) ),
inference(extensionality_resolution,[],[f7,f175]) ).
fof(f175,plain,
y != complement(intersection(complement(x),complement(y))),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f114,axiom,
y != union(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property3_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f194,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
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(f369,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y) ),
inference(subsumption_resolution,[],[f368,f232]) ).
fof(f232,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y) ),
inference(resolution,[],[f229,f2]) ).
fof(f229,plain,
( ~ subclass(y,complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y) ),
inference(resolution,[],[f210,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(f368,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class) ),
inference(resolution,[],[f362,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f362,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y))
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y) ),
inference(subsumption_resolution,[],[f360,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f360,plain,
( member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y) ),
inference(resolution,[],[f359,f208]) ).
fof(f208,plain,
! [X25] :
( ~ member(X25,x)
| member(X25,y) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property3_1) ).
fof(f359,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),x)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y)) ),
inference(subsumption_resolution,[],[f358,f243]) ).
fof(f358,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),x)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class)
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y)) ),
inference(resolution,[],[f355,f25]) ).
fof(f355,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(x))
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y)) ),
inference(resolution,[],[f23,f235]) ).
fof(f235,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),intersection(complement(x),complement(y)))
| member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y) ),
inference(resolution,[],[f234,f24]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f387,plain,
~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),y),
inference(resolution,[],[f384,f24]) ).
fof(f384,plain,
member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(y)),
inference(resolution,[],[f383,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f383,plain,
member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y))),
inference(subsumption_resolution,[],[f382,f371]) ).
fof(f371,plain,
member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),universal_class),
inference(resolution,[],[f370,f194]) ).
fof(f382,plain,
( member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),universal_class) ),
inference(resolution,[],[f381,f25]) ).
fof(f381,plain,
~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))),
inference(subsumption_resolution,[],[f380,f231]) ).
fof(f231,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y)
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f229,f3]) ).
fof(f380,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y)
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f379,f242]) ).
fof(f242,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class)
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f194,f233]) ).
fof(f233,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f230,f3]) ).
fof(f379,plain,
( ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y) ),
inference(resolution,[],[f367,f25]) ).
fof(f367,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f365,f231]) ).
fof(f365,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),y) ),
inference(resolution,[],[f364,f208]) ).
fof(f364,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),x)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(subsumption_resolution,[],[f363,f242]) ).
fof(f363,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),x)
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y)) ),
inference(resolution,[],[f354,f25]) ).
fof(f354,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),complement(y))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f23,f236]) ).
fof(f236,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),y),intersection(complement(x),complement(y)))
| ~ member(not_subclass_element(y,complement(intersection(complement(x),complement(y)))),complement(intersection(complement(x),complement(y)))) ),
inference(resolution,[],[f233,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET185-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 30 13:17:59 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.45 % (21409)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.46 % (21401)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.46 % (21418)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.47 % (21410)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.47 % (21417)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.48 % (21395)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.14/0.48 % (21410)Instruction limit reached!
% 0.14/0.48 % (21410)------------------------------
% 0.14/0.48 % (21410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (21402)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.48 % (21410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (21410)Termination reason: Unknown
% 0.14/0.48 % (21410)Termination phase: Finite model building preprocessing
% 0.14/0.48
% 0.14/0.48 % (21410)Memory used [KB]: 1535
% 0.14/0.48 % (21410)Time elapsed: 0.009 s
% 0.14/0.48 % (21410)Instructions burned: 7 (million)
% 0.14/0.48 % (21410)------------------------------
% 0.14/0.48 % (21410)------------------------------
% 0.14/0.48 % (21402)Refutation not found, incomplete strategy% (21402)------------------------------
% 0.14/0.48 % (21402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (21402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (21402)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.48
% 0.14/0.48 % (21402)Memory used [KB]: 5884
% 0.14/0.48 % (21402)Time elapsed: 0.079 s
% 0.14/0.48 % (21402)Instructions burned: 2 (million)
% 0.14/0.48 % (21402)------------------------------
% 0.14/0.48 % (21402)------------------------------
% 0.14/0.49 % (21397)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.49 % (21398)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.49 % (21397)Instruction limit reached!
% 0.14/0.49 % (21397)------------------------------
% 0.14/0.49 % (21397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (21396)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.14/0.50 % (21414)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.50 % (21411)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.50 % (21399)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.14/0.50 % (21417)Refutation not found, incomplete strategy% (21417)------------------------------
% 0.14/0.50 % (21417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (21401)First to succeed.
% 0.14/0.51 % (21401)Refutation found. Thanks to Tanya!
% 0.14/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.51 % (21401)------------------------------
% 0.14/0.51 % (21401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (21401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51 % (21401)Termination reason: Refutation
% 0.14/0.51
% 0.14/0.51 % (21401)Memory used [KB]: 1663
% 0.14/0.51 % (21401)Time elapsed: 0.149 s
% 0.14/0.51 % (21401)Instructions burned: 18 (million)
% 0.14/0.51 % (21401)------------------------------
% 0.14/0.51 % (21401)------------------------------
% 0.14/0.51 % (21394)Success in time 0.205 s
%------------------------------------------------------------------------------