TSTP Solution File: SET264-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET264-6 : 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 : 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 18:19:59 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 17 unt; 0 def)
% Number of atoms : 93 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f471,plain,
$false,
inference(subsumption_resolution,[],[f466,f465]) ).
fof(f465,plain,
~ member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),universal_class),
inference(resolution,[],[f464,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f464,plain,
member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)),
inference(subsumption_resolution,[],[f463,f383]) ).
fof(f383,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),x)
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f379,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f379,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f375,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f375,plain,
( ~ subclass(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)))
| member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))) ),
inference(resolution,[],[f369,f2]) ).
fof(f369,plain,
( ~ subclass(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class))
| ~ subclass(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))) ),
inference(forward_demodulation,[],[f368,f166]) ).
fof(f166,plain,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f368,plain,
( ~ subclass(complement(universal_class),intersection(cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class),x))
| ~ subclass(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)) ),
inference(forward_demodulation,[],[f366,f166]) ).
fof(f366,plain,
( ~ subclass(intersection(cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class),x),complement(universal_class))
| ~ subclass(complement(universal_class),intersection(cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class),x)) ),
inference(extensionality_resolution,[],[f7,f363]) ).
fof(f363,plain,
intersection(cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class),x) != complement(universal_class),
inference(resolution,[],[f354,f185]) ).
fof(f185,plain,
member(not_subclass_element(domain_of(x),domain_of(y)),domain_of(x)),
inference(resolution,[],[f2,f114]) ).
fof(f114,axiom,
~ subclass(domain_of(x),domain_of(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_monotonic1_2) ).
fof(f354,plain,
! [X0,X4] :
( ~ member(X4,domain_of(X0))
| complement(universal_class) != intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ),
inference(forward_demodulation,[],[f156,f299]) ).
fof(f299,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f294,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f184,f210]) ).
fof(f210,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f195,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f195,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/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f184,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f156,plain,
! [X0,X4] :
( ~ member(X4,domain_of(X0))
| null_class != intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ),
inference(definition_unfolding,[],[f30,f29,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f30,axiom,
! [X0,X4] :
( ~ member(X4,domain_of(X0))
| restrict(X0,singleton(X4),universal_class) != null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f463,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),x)
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f456,f209]) ).
fof(f209,plain,
! [X25] :
( member(X25,y)
| ~ member(X25,x) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_monotonic1_1) ).
fof(f456,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),y)
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(subsumption_resolution,[],[f453,f377]) ).
fof(f377,plain,
( ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),complement(universal_class))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f374,f2]) ).
fof(f374,plain,
( ~ subclass(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)))
| ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),complement(universal_class)) ),
inference(resolution,[],[f369,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f453,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),complement(universal_class))
| ~ member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),y)
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f438,f382]) ).
fof(f382,plain,
( member(not_subclass_element(intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class)),complement(universal_class)),cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))
| member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),complement(universal_class)) ),
inference(resolution,[],[f379,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f438,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))
| ~ member(X0,y)
| member(X0,complement(universal_class)) ),
inference(superposition,[],[f23,f435]) ).
fof(f435,plain,
complement(universal_class) = intersection(cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class),y),
inference(subsumption_resolution,[],[f432,f215]) ).
fof(f215,plain,
member(not_subclass_element(domain_of(x),domain_of(y)),universal_class),
inference(resolution,[],[f195,f185]) ).
fof(f432,plain,
( complement(universal_class) = intersection(cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class),y)
| ~ member(not_subclass_element(domain_of(x),domain_of(y)),universal_class) ),
inference(resolution,[],[f420,f186]) ).
fof(f186,plain,
~ member(not_subclass_element(domain_of(x),domain_of(y)),domain_of(y)),
inference(resolution,[],[f3,f114]) ).
fof(f420,plain,
! [X0,X4] :
( member(X4,domain_of(X0))
| ~ member(X4,universal_class)
| complement(universal_class) = intersection(cross_product(unordered_pair(X4,X4),universal_class),X0) ),
inference(forward_demodulation,[],[f172,f299]) ).
fof(f172,plain,
! [X0,X4] :
( member(X4,domain_of(X0))
| null_class = intersection(cross_product(unordered_pair(X4,X4),universal_class),X0)
| ~ member(X4,universal_class) ),
inference(definition_unfolding,[],[f31,f29,f12]) ).
fof(f31,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,domain_of(X0))
| restrict(X0,singleton(X4),universal_class) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f466,plain,
member(not_subclass_element(complement(universal_class),intersection(x,cross_product(unordered_pair(not_subclass_element(domain_of(x),domain_of(y)),not_subclass_element(domain_of(x),domain_of(y))),universal_class))),universal_class),
inference(resolution,[],[f464,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET264-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:33:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (24457)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)
% 0.18/0.47 % (24449)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)
% 0.18/0.47 % (24441)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)
% 0.18/0.50 % (24438)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)
% 0.18/0.50 % (24443)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (24438)Refutation not found, incomplete strategy% (24438)------------------------------
% 0.18/0.50 % (24438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (24438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (24438)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (24438)Memory used [KB]: 5884
% 0.18/0.50 % (24438)Time elapsed: 0.103 s
% 0.18/0.50 % (24438)Instructions burned: 2 (million)
% 0.18/0.50 % (24438)------------------------------
% 0.18/0.50 % (24438)------------------------------
% 0.18/0.50 % (24435)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)
% 0.18/0.50 % (24441)First to succeed.
% 0.18/0.50 % (24441)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (24441)------------------------------
% 0.18/0.50 % (24441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (24441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (24441)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (24441)Memory used [KB]: 1791
% 0.18/0.50 % (24441)Time elapsed: 0.100 s
% 0.18/0.50 % (24441)Instructions burned: 27 (million)
% 0.18/0.50 % (24441)------------------------------
% 0.18/0.50 % (24441)------------------------------
% 0.18/0.50 % (24431)Success in time 0.164 s
%------------------------------------------------------------------------------