TSTP Solution File: SET175-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET175-6 : 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 : n016.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 18:19:39 EDT 2022
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 8 unt; 0 def)
% Number of atoms : 95 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 88 ( 39 ~; 46 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f382,plain,
$false,
inference(avatar_sat_refutation,[],[f217,f341,f381]) ).
fof(f381,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| spl1_2 ),
inference(subsumption_resolution,[],[f343,f375]) ).
fof(f375,plain,
( ! [X0] : ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),X0)
| spl1_2 ),
inference(subsumption_resolution,[],[f368,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f368,plain,
( ! [X0] :
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),X0)
| ~ subclass(X0,universal_class) )
| spl1_2 ),
inference(resolution,[],[f367,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ subclass(X0,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f367,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),universal_class)
| spl1_2 ),
inference(subsumption_resolution,[],[f351,f361]) ).
fof(f361,plain,
( ! [X1] : ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),intersection(complement(x),X1))
| spl1_2 ),
inference(resolution,[],[f347,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f347,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),complement(x))
| spl1_2 ),
inference(resolution,[],[f343,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f351,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),universal_class)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),intersection(complement(x),complement(intersection(x,y))))
| spl1_2 ),
inference(resolution,[],[f342,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,X0)
| member(X4,complement(X0))
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f342,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),complement(intersection(complement(x),complement(intersection(x,y)))))
| spl1_2 ),
inference(resolution,[],[f216,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(f216,plain,
( ~ subclass(x,complement(intersection(complement(x),complement(intersection(x,y)))))
| spl1_2 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl1_2
<=> subclass(x,complement(intersection(complement(x),complement(intersection(x,y))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f343,plain,
( member(not_subclass_element(x,complement(intersection(complement(x),complement(intersection(x,y))))),x)
| spl1_2 ),
inference(resolution,[],[f216,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(f341,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f339,f337]) ).
fof(f337,plain,
( ! [X7] : member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(intersection(x,X7)))
| spl1_1 ),
inference(subsumption_resolution,[],[f240,f332]) ).
fof(f332,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),universal_class)
| spl1_1 ),
inference(resolution,[],[f245,f4]) ).
fof(f245,plain,
( ! [X0] :
( ~ subclass(complement(intersection(complement(x),complement(intersection(x,y)))),X0)
| member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),X0) )
| spl1_1 ),
inference(resolution,[],[f219,f1]) ).
fof(f219,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(intersection(complement(x),complement(intersection(x,y)))))
| spl1_1 ),
inference(resolution,[],[f213,f2]) ).
fof(f213,plain,
( ~ subclass(complement(intersection(complement(x),complement(intersection(x,y)))),x)
| spl1_1 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl1_1
<=> subclass(complement(intersection(complement(x),complement(intersection(x,y)))),x) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f240,plain,
( ! [X7] :
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(intersection(x,X7)))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),universal_class) )
| spl1_1 ),
inference(resolution,[],[f222,f25]) ).
fof(f222,plain,
( ! [X1] : ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),intersection(x,X1))
| spl1_1 ),
inference(resolution,[],[f218,f21]) ).
fof(f218,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),x)
| spl1_1 ),
inference(resolution,[],[f213,f3]) ).
fof(f339,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(intersection(x,y)))
| spl1_1 ),
inference(subsumption_resolution,[],[f311,f338]) ).
fof(f338,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(x))
| spl1_1 ),
inference(subsumption_resolution,[],[f224,f332]) ).
fof(f224,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(x))
| spl1_1 ),
inference(resolution,[],[f218,f25]) ).
fof(f311,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),complement(intersection(x,y)))
| spl1_1 ),
inference(resolution,[],[f244,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( ~ member(X4,X0)
| member(X4,intersection(X0,X1))
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f244,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(intersection(x,y)))),x),intersection(complement(x),complement(intersection(x,y))))
| spl1_1 ),
inference(resolution,[],[f219,f24]) ).
fof(f217,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f208,f215,f212]) ).
fof(f208,plain,
( ~ subclass(x,complement(intersection(complement(x),complement(intersection(x,y)))))
| ~ subclass(complement(intersection(complement(x),complement(intersection(x,y)))),x) ),
inference(resolution,[],[f206,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f181]) ).
fof(f181,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f206,plain,
~ sQ0_eqProxy(x,complement(intersection(complement(x),complement(intersection(x,y))))),
inference(equality_proxy_replacement,[],[f176,f181]) ).
fof(f176,plain,
x != complement(intersection(complement(x),complement(intersection(x,y)))),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f113,axiom,
x != union(x,intersection(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion_for_union_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET175-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.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 14:52:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.16/0.47 % (16659)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)
% 0.16/0.47 % (16659)Instruction limit reached!
% 0.16/0.47 % (16659)------------------------------
% 0.16/0.47 % (16659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (16659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (16659)Termination reason: Unknown
% 0.16/0.47 % (16659)Termination phase: Finite model building preprocessing
% 0.16/0.47
% 0.16/0.47 % (16659)Memory used [KB]: 1535
% 0.16/0.47 % (16659)Time elapsed: 0.005 s
% 0.16/0.47 % (16659)Instructions burned: 6 (million)
% 0.16/0.47 % (16659)------------------------------
% 0.16/0.47 % (16659)------------------------------
% 0.16/0.47 % (16667)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)
% 0.16/0.49 % (16667)First to succeed.
% 0.16/0.50 % (16667)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (16667)------------------------------
% 0.16/0.50 % (16667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (16667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (16667)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (16667)Memory used [KB]: 6268
% 0.16/0.50 % (16667)Time elapsed: 0.086 s
% 0.16/0.50 % (16667)Instructions burned: 17 (million)
% 0.16/0.50 % (16667)------------------------------
% 0.16/0.50 % (16667)------------------------------
% 0.16/0.50 % (16643)Success in time 0.155 s
%------------------------------------------------------------------------------