TSTP Solution File: SET180-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET180-6 : 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 : n007.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 18:24:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 18 unt; 0 def)
% Number of atoms : 120 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 119 ( 63 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 3 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f370,plain,
$false,
inference(subsumption_resolution,[],[f369,f366]) ).
fof(f366,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z),
inference(subsumption_resolution,[],[f365,f337]) ).
fof(f337,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class),
inference(resolution,[],[f335,f193]) ).
fof(f193,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(f335,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))),
inference(subsumption_resolution,[],[f332,f269]) ).
fof(f269,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),z)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f263,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f263,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(z))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f262,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f262,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z)))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(subsumption_resolution,[],[f260,f239]) ).
fof(f239,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f193,f228]) ).
fof(f228,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f224,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(f224,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f207,f2]) ).
fof(f207,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z))))
| ~ subclass(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(extensionality_resolution,[],[f7,f173]) ).
fof(f173,plain,
complement(intersection(complement(complement(x)),complement(intersection(x,z)))) != complement(intersection(complement(complement(x)),complement(z))),
inference(definition_unfolding,[],[f113,f26,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f113,axiom,
union(complement(x),intersection(x,z)) != union(complement(x),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distribution_property2_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f260,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z))) ),
inference(resolution,[],[f25,f226]) ).
fof(f226,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(z))))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f223,f2]) ).
fof(f223,plain,
( ~ subclass(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f207,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(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f332,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z))))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),z) ),
inference(resolution,[],[f331,f22]) ).
fof(f331,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(subsumption_resolution,[],[f330,f239]) ).
fof(f330,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z)) ),
inference(resolution,[],[f329,f25]) ).
fof(f329,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z)))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(subsumption_resolution,[],[f323,f264]) ).
fof(f264,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f262,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f323,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z))) ),
inference(resolution,[],[f23,f229]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(intersection(x,z))))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(z)))) ),
inference(resolution,[],[f228,f24]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f365,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class) ),
inference(resolution,[],[f364,f25]) ).
fof(f364,plain,
~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(z)),
inference(subsumption_resolution,[],[f349,f351]) ).
fof(f351,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(complement(x))),
inference(resolution,[],[f348,f21]) ).
fof(f348,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(intersection(x,z)))),
inference(subsumption_resolution,[],[f347,f337]) ).
fof(f347,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(intersection(x,z)))) ),
inference(resolution,[],[f343,f25]) ).
fof(f343,plain,
~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),
inference(subsumption_resolution,[],[f340,f273]) ).
fof(f273,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),z)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f266,f24]) ).
fof(f266,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f261,f22]) ).
fof(f261,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(subsumption_resolution,[],[f259,f238]) ).
fof(f238,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f193,f227]) ).
fof(f227,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f224,f3]) ).
fof(f259,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(z))) ),
inference(resolution,[],[f25,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(complement(complement(x)),complement(z))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f223,f3]) ).
fof(f340,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),z) ),
inference(resolution,[],[f339,f22]) ).
fof(f339,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(subsumption_resolution,[],[f338,f238]) ).
fof(f338,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(x,z))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f328,f25]) ).
fof(f328,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(subsumption_resolution,[],[f322,f267]) ).
fof(f267,plain,
( member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f261,f21]) ).
fof(f322,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(complement(x)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z)))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),complement(intersection(x,z))) ),
inference(resolution,[],[f23,f230]) ).
fof(f230,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(intersection(x,z)))),complement(intersection(complement(complement(x)),complement(z)))),intersection(complement(complement(x)),complement(intersection(x,z))))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))) ),
inference(resolution,[],[f227,f24]) ).
fof(f349,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(complement(x)))
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(z)) ),
inference(resolution,[],[f336,f23]) ).
fof(f336,plain,
~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(complement(complement(x)),complement(z))),
inference(resolution,[],[f335,f24]) ).
fof(f369,plain,
~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z),
inference(subsumption_resolution,[],[f368,f358]) ).
fof(f358,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),x),
inference(subsumption_resolution,[],[f357,f337]) ).
fof(f357,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),universal_class)
| member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),x) ),
inference(resolution,[],[f353,f25]) ).
fof(f353,plain,
~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(x)),
inference(resolution,[],[f351,f24]) ).
fof(f368,plain,
( ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),x)
| ~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),z) ),
inference(resolution,[],[f355,f23]) ).
fof(f355,plain,
~ member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),intersection(x,z)),
inference(resolution,[],[f350,f24]) ).
fof(f350,plain,
member(not_subclass_element(complement(intersection(complement(complement(x)),complement(z))),complement(intersection(complement(complement(x)),complement(intersection(x,z))))),complement(intersection(x,z))),
inference(resolution,[],[f348,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET180-6 : 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
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 13:10:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (22705)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49 % (22721)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (22696)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (22700)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (22715)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)
% 0.19/0.52 % (22707)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 % (22718)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (22701)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (22701)Instruction limit reached!
% 0.19/0.52 % (22701)------------------------------
% 0.19/0.52 % (22701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (22701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (22701)Termination reason: Unknown
% 0.19/0.52 % (22701)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (22701)Memory used [KB]: 1023
% 0.19/0.52 % (22701)Time elapsed: 0.002 s
% 0.19/0.52 % (22701)Instructions burned: 3 (million)
% 0.19/0.52 % (22701)------------------------------
% 0.19/0.52 % (22701)------------------------------
% 0.19/0.52 % (22720)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (22694)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (22713)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (22695)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 % (22719)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 % (22722)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)
% 0.19/0.52 % (22697)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (22693)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (22698)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (22700)Instruction limit reached!
% 0.19/0.53 % (22700)------------------------------
% 0.19/0.53 % (22700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22700)Termination reason: Unknown
% 0.19/0.53 % (22700)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (22700)Memory used [KB]: 5628
% 0.19/0.53 % (22700)Time elapsed: 0.134 s
% 0.19/0.53 % (22700)Instructions burned: 8 (million)
% 0.19/0.53 % (22700)------------------------------
% 0.19/0.53 % (22700)------------------------------
% 0.19/0.53 % (22710)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (22708)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)
% 0.19/0.53 % (22716)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (22717)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (22702)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (22712)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (22711)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (22714)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (22709)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (22704)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)
% 0.19/0.54 % (22699)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (22703)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (22706)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (22715)First to succeed.
% 0.19/0.57 % (22715)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (22715)------------------------------
% 0.19/0.57 % (22715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (22715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (22715)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (22715)Memory used [KB]: 1279
% 0.19/0.57 % (22715)Time elapsed: 0.128 s
% 0.19/0.57 % (22715)Instructions burned: 21 (million)
% 0.19/0.57 % (22715)------------------------------
% 0.19/0.57 % (22715)------------------------------
% 0.19/0.57 % (22692)Success in time 0.227 s
%------------------------------------------------------------------------------