TSTP Solution File: SET126-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET126-6 : 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 : 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 18:23:51 EDT 2022
% Result : Unsatisfiable 1.90s 0.61s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 18 unt; 0 def)
% Number of atoms : 137 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 130 ( 63 ~; 67 |; 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 : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f411,plain,
$false,
inference(subsumption_resolution,[],[f409,f363]) ).
fof(f363,plain,
member(x,unordered_pair(x,x)),
inference(backward_demodulation,[],[f355,f358]) ).
fof(f358,plain,
x = not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f356,plain,
( x = not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
| x = not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(resolution,[],[f355,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f355,plain,
member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)),
inference(subsumption_resolution,[],[f353,f326]) ).
fof(f326,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
inference(forward_demodulation,[],[f305,f284]) ).
fof(f284,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f280,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f150,f169]) ).
fof(f169,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f159,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f159,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,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f150,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f305,plain,
( member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class) ),
inference(backward_demodulation,[],[f197,f284]) ).
fof(f197,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(resolution,[],[f195,f159]) ).
fof(f195,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(resolution,[],[f191,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(f191,plain,
( ~ subclass(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(resolution,[],[f178,f2]) ).
fof(f178,plain,
( ~ subclass(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x))
| ~ subclass(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(extensionality_resolution,[],[f7,f126]) ).
fof(f126,plain,
unordered_pair(x,x) != complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),
inference(definition_unfolding,[],[f93,f99,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f99,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26,f12]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f93,axiom,
set_builder(x,null_class) != singleton(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_and_singleton_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| X0 = X1
| ~ subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f353,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
inference(resolution,[],[f333,f24]) ).
fof(f333,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),unordered_pair(x,x)) ),
inference(forward_demodulation,[],[f315,f284]) ).
fof(f315,plain,
( member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class)) ),
inference(backward_demodulation,[],[f250,f284]) ).
fof(f250,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(subsumption_resolution,[],[f249,f197]) ).
fof(f249,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class) ),
inference(resolution,[],[f248,f25]) ).
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(f248,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(subsumption_resolution,[],[f247,f193]) ).
fof(f193,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(resolution,[],[f190,f2]) ).
fof(f190,plain,
( ~ subclass(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x)) ),
inference(resolution,[],[f178,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(f247,plain,
( member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class)) ),
inference(subsumption_resolution,[],[f246,f197]) ).
fof(f246,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class)) ),
inference(resolution,[],[f243,f25]) ).
fof(f243,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(unordered_pair(x,x)))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(resolution,[],[f23,f196]) ).
fof(f196,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),intersection(complement(unordered_pair(x,x)),complement(null_class)))
| member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),unordered_pair(x,x)) ),
inference(resolution,[],[f195,f24]) ).
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(f409,plain,
~ member(x,unordered_pair(x,x)),
inference(resolution,[],[f403,f24]) ).
fof(f403,plain,
member(x,complement(unordered_pair(x,x))),
inference(resolution,[],[f401,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f401,plain,
member(x,intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),
inference(subsumption_resolution,[],[f400,f362]) ).
fof(f362,plain,
member(x,universal_class),
inference(backward_demodulation,[],[f357,f358]) ).
fof(f357,plain,
member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),universal_class),
inference(resolution,[],[f355,f159]) ).
fof(f400,plain,
( ~ member(x,universal_class)
| member(x,intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))) ),
inference(resolution,[],[f399,f25]) ).
fof(f399,plain,
~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),
inference(subsumption_resolution,[],[f397,f378]) ).
fof(f378,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class)
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(resolution,[],[f376,f159]) ).
fof(f376,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(forward_demodulation,[],[f322,f358]) ).
fof(f322,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(forward_demodulation,[],[f302,f284]) ).
fof(f302,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(backward_demodulation,[],[f194,f284]) ).
fof(f194,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(resolution,[],[f191,f3]) ).
fof(f397,plain,
( ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),universal_class) ),
inference(resolution,[],[f396,f24]) ).
fof(f396,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class))
| ~ member(x,complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(forward_demodulation,[],[f325,f358]) ).
fof(f325,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))),unordered_pair(x,x)),complement(universal_class))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))) ),
inference(forward_demodulation,[],[f317,f284]) ).
fof(f317,plain,
( ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class))))),complement(intersection(complement(unordered_pair(x,x)),complement(complement(universal_class)))))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class) ),
inference(backward_demodulation,[],[f256,f284]) ).
fof(f256,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(subsumption_resolution,[],[f255,f202]) ).
fof(f202,plain,
( member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(resolution,[],[f194,f159]) ).
fof(f255,plain,
( ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),null_class)
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class) ),
inference(resolution,[],[f254,f25]) ).
fof(f254,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(subsumption_resolution,[],[f253,f202]) ).
fof(f253,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class)) ),
inference(subsumption_resolution,[],[f252,f192]) ).
fof(f192,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(resolution,[],[f190,f3]) ).
fof(f252,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),universal_class)
| member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),unordered_pair(x,x))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(resolution,[],[f242,f25]) ).
fof(f242,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(unordered_pair(x,x)))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class))))
| ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),complement(null_class)) ),
inference(resolution,[],[f23,f201]) ).
fof(f201,plain,
( ~ member(not_subclass_element(complement(intersection(complement(unordered_pair(x,x)),complement(null_class))),unordered_pair(x,x)),intersection(complement(unordered_pair(x,x)),complement(null_class)))
| ~ member(not_subclass_element(unordered_pair(x,x),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))),complement(intersection(complement(unordered_pair(x,x)),complement(null_class)))) ),
inference(resolution,[],[f194,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET126-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:43:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (29192)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (29199)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)
% 0.20/0.51 % (29207)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)
% 0.20/0.51 % (29194)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (29191)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (29184)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)
% 0.20/0.52 % (29186)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)
% 0.20/0.52 % (29192)Instruction limit reached!
% 0.20/0.52 % (29192)------------------------------
% 0.20/0.52 % (29192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29192)Termination reason: Unknown
% 0.20/0.52 % (29192)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (29192)Memory used [KB]: 1023
% 0.20/0.52 % (29192)Time elapsed: 0.003 s
% 0.20/0.52 % (29192)Instructions burned: 3 (million)
% 0.20/0.52 % (29192)------------------------------
% 0.20/0.52 % (29192)------------------------------
% 0.20/0.53 % (29188)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (29204)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)
% 0.20/0.53 % (29193)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)
% 0.20/0.53 % (29195)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)
% 0.20/0.53 % (29211)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)
% 0.20/0.53 % (29189)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)
% 0.20/0.53 % (29191)Instruction limit reached!
% 0.20/0.53 % (29191)------------------------------
% 0.20/0.53 % (29191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29191)Termination reason: Unknown
% 0.20/0.53 % (29191)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (29191)Memory used [KB]: 5500
% 0.20/0.53 % (29191)Time elapsed: 0.080 s
% 0.20/0.53 % (29191)Instructions burned: 7 (million)
% 0.20/0.53 % (29191)------------------------------
% 0.20/0.53 % (29191)------------------------------
% 0.20/0.53 % (29212)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (29190)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)
% 0.20/0.53 % (29185)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)
% 0.20/0.54 % (29206)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)
% 0.20/0.54 % (29209)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (29202)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (29213)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)
% 0.20/0.54 % (29198)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)
% 0.20/0.54 % (29203)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)
% 0.20/0.54 % (29201)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (29205)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (29187)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)
% 0.20/0.55 % (29196)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (29200)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)
% 0.20/0.55 % (29197)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (29210)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)
% 0.20/0.56 % (29208)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (29186)Instruction limit reached!
% 0.20/0.56 % (29186)------------------------------
% 0.20/0.56 % (29186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29194)Instruction limit reached!
% 0.20/0.57 % (29194)------------------------------
% 0.20/0.57 % (29194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (29186)Termination reason: Unknown
% 0.20/0.57 % (29186)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (29186)Memory used [KB]: 1535
% 0.20/0.57 % (29186)Time elapsed: 0.144 s
% 0.20/0.57 % (29186)Instructions burned: 37 (million)
% 0.20/0.57 % (29186)------------------------------
% 0.20/0.57 % (29186)------------------------------
% 0.20/0.57 % (29194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (29194)Termination reason: Unknown
% 0.20/0.57 % (29194)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (29194)Memory used [KB]: 6652
% 0.20/0.57 % (29194)Time elapsed: 0.161 s
% 0.20/0.57 % (29194)Instructions burned: 51 (million)
% 0.20/0.57 % (29194)------------------------------
% 0.20/0.57 % (29194)------------------------------
% 1.77/0.59 % (29206)First to succeed.
% 1.90/0.61 % (29206)Refutation found. Thanks to Tanya!
% 1.90/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.90/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.61 % (29206)------------------------------
% 1.90/0.61 % (29206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61 % (29206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.61 % (29206)Termination reason: Refutation
% 1.90/0.61
% 1.90/0.61 % (29206)Memory used [KB]: 1279
% 1.90/0.61 % (29206)Time elapsed: 0.188 s
% 1.90/0.61 % (29206)Instructions burned: 22 (million)
% 1.90/0.61 % (29206)------------------------------
% 1.90/0.61 % (29206)------------------------------
% 1.90/0.61 % (29183)Success in time 0.256 s
%------------------------------------------------------------------------------