TSTP Solution File: SET190-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET190-6 : 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 : n029.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 18:24:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 43 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 22 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(subsumption_resolution,[],[f283,f279]) ).
fof(f279,plain,
~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),x),
inference(resolution,[],[f277,f208]) ).
fof(f208,plain,
! [X25] :
( member(X25,y)
| ~ member(X25,x) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property7_1) ).
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(f277,plain,
~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),y),
inference(resolution,[],[f274,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f274,plain,
member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),complement(y)),
inference(resolution,[],[f273,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f273,plain,
member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),intersection(complement(complement(x)),complement(y))),
inference(subsumption_resolution,[],[f272,f238]) ).
fof(f238,plain,
member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),universal_class),
inference(resolution,[],[f233,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(f233,plain,
~ subclass(universal_class,complement(intersection(complement(complement(x)),complement(y)))),
inference(subsumption_resolution,[],[f216,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f216,plain,
( ~ subclass(universal_class,complement(intersection(complement(complement(x)),complement(y))))
| ~ subclass(complement(intersection(complement(complement(x)),complement(y))),universal_class) ),
inference(extensionality_resolution,[],[f7,f143]) ).
fof(f143,plain,
universal_class != complement(intersection(complement(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,
universal_class != union(complement(x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property7_2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f272,plain,
( ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),universal_class)
| member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),intersection(complement(complement(x)),complement(y))) ),
inference(resolution,[],[f25,f237]) ).
fof(f237,plain,
~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),complement(intersection(complement(complement(x)),complement(y)))),
inference(resolution,[],[f233,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(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f283,plain,
member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),x),
inference(subsumption_resolution,[],[f282,f238]) ).
fof(f282,plain,
( ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),universal_class)
| member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),x) ),
inference(resolution,[],[f280,f25]) ).
fof(f280,plain,
~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),complement(x)),
inference(resolution,[],[f275,f24]) ).
fof(f275,plain,
member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(y)))),complement(complement(x))),
inference(resolution,[],[f273,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET190-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:35:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (26275)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.48 % (26267)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.48 % (26250)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (26254)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (26264)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (26253)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (26260)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)
% 0.19/0.51 % (26254)Instruction limit reached!
% 0.19/0.51 % (26254)------------------------------
% 0.19/0.51 % (26254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26254)Termination reason: Unknown
% 0.19/0.51 % (26254)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (26254)Memory used [KB]: 1023
% 0.19/0.51 % (26254)Time elapsed: 0.003 s
% 0.19/0.51 % (26254)Instructions burned: 2 (million)
% 0.19/0.51 % (26254)------------------------------
% 0.19/0.51 % (26254)------------------------------
% 0.19/0.51 % (26268)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)
% 0.19/0.51 % (26271)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (26257)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (26261)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)
% 0.19/0.52 % (26253)Instruction limit reached!
% 0.19/0.52 % (26253)------------------------------
% 0.19/0.52 % (26253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26253)Termination reason: Unknown
% 0.19/0.52 % (26253)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26253)Memory used [KB]: 5628
% 0.19/0.52 % (26253)Time elapsed: 0.114 s
% 0.19/0.52 % (26253)Instructions burned: 7 (million)
% 0.19/0.52 % (26253)------------------------------
% 0.19/0.52 % (26253)------------------------------
% 0.19/0.52 % (26268)First to succeed.
% 0.19/0.52 % (26248)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (26272)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)
% 0.19/0.52 % (26268)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (26268)------------------------------
% 0.19/0.52 % (26268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26268)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (26268)Memory used [KB]: 1151
% 0.19/0.52 % (26268)Time elapsed: 0.079 s
% 0.19/0.52 % (26268)Instructions burned: 12 (million)
% 0.19/0.52 % (26268)------------------------------
% 0.19/0.52 % (26268)------------------------------
% 0.19/0.52 % (26243)Success in time 0.171 s
%------------------------------------------------------------------------------