TSTP Solution File: SET150-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET150-6 : 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 18:19:32 EDT 2022
% Result : Unsatisfiable 0.12s 0.47s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 59 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(subsumption_resolution,[],[f270,f263]) ).
fof(f263,plain,
member(not_subclass_element(x,complement(complement(x))),x),
inference(subsumption_resolution,[],[f262,f238]) ).
fof(f238,plain,
( member(not_subclass_element(complement(complement(x)),x),universal_class)
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(resolution,[],[f192,f227]) ).
fof(f227,plain,
( member(not_subclass_element(complement(complement(x)),x),complement(complement(x)))
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(resolution,[],[f223,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(f223,plain,
( ~ subclass(x,complement(complement(x)))
| member(not_subclass_element(complement(complement(x)),x),complement(complement(x))) ),
inference(resolution,[],[f206,f2]) ).
fof(f206,plain,
( ~ subclass(complement(complement(x)),x)
| ~ subclass(x,complement(complement(x))) ),
inference(extensionality_resolution,[],[f7,f113]) ).
fof(f113,axiom,
x != complement(complement(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_is_self_cancelling_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f192,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(f262,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),universal_class)
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(subsumption_resolution,[],[f259,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),x)
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(resolution,[],[f222,f2]) ).
fof(f222,plain,
( ~ subclass(x,complement(complement(x)))
| ~ member(not_subclass_element(complement(complement(x)),x),x) ),
inference(resolution,[],[f206,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(f259,plain,
( member(not_subclass_element(complement(complement(x)),x),x)
| ~ member(not_subclass_element(complement(complement(x)),x),universal_class)
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(resolution,[],[f25,f228]) ).
fof(f228,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),complement(x))
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(resolution,[],[f227,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f270,plain,
~ member(not_subclass_element(x,complement(complement(x))),x),
inference(resolution,[],[f269,f24]) ).
fof(f269,plain,
member(not_subclass_element(x,complement(complement(x))),complement(x)),
inference(subsumption_resolution,[],[f268,f264]) ).
fof(f264,plain,
member(not_subclass_element(x,complement(complement(x))),universal_class),
inference(resolution,[],[f263,f192]) ).
fof(f268,plain,
( ~ member(not_subclass_element(x,complement(complement(x))),universal_class)
| member(not_subclass_element(x,complement(complement(x))),complement(x)) ),
inference(resolution,[],[f261,f25]) ).
fof(f261,plain,
~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x))),
inference(subsumption_resolution,[],[f260,f237]) ).
fof(f237,plain,
( member(not_subclass_element(complement(complement(x)),x),universal_class)
| ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x))) ),
inference(resolution,[],[f192,f226]) ).
fof(f226,plain,
( member(not_subclass_element(complement(complement(x)),x),complement(complement(x)))
| ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x))) ),
inference(resolution,[],[f223,f3]) ).
fof(f260,plain,
( ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x)))
| ~ member(not_subclass_element(complement(complement(x)),x),universal_class) ),
inference(subsumption_resolution,[],[f258,f224]) ).
fof(f224,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),x)
| ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x))) ),
inference(resolution,[],[f222,f3]) ).
fof(f258,plain,
( member(not_subclass_element(complement(complement(x)),x),x)
| ~ member(not_subclass_element(complement(complement(x)),x),universal_class)
| ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x))) ),
inference(resolution,[],[f25,f229]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),complement(x))
| ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x))) ),
inference(resolution,[],[f226,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SET150-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.07/0.26 % Computer : n010.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 13:15:58 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.12/0.42 % (13245)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)
% 0.12/0.47 % (13245)First to succeed.
% 0.12/0.47 % (13245)Refutation found. Thanks to Tanya!
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.47 % (13245)------------------------------
% 0.12/0.47 % (13245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.47 % (13245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.47 % (13245)Termination reason: Refutation
% 0.12/0.47
% 0.12/0.47 % (13245)Memory used [KB]: 1535
% 0.12/0.47 % (13245)Time elapsed: 0.158 s
% 0.12/0.47 % (13245)Instructions burned: 11 (million)
% 0.12/0.47 % (13245)------------------------------
% 0.12/0.47 % (13245)------------------------------
% 0.12/0.47 % (13238)Success in time 0.205 s
%------------------------------------------------------------------------------