%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET082-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 : Thu May 9 17:39:08 EDT 2024
% Result : Unsatisfiable 14.69s 14.88s
% Output : Refutation 14.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 10 RR)
% Number of literals : 20 ( 15 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_singleton_is_null_class_2,negated_conjecture,
singleton(x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).
cnf(symmetry,axiom,
( X46 != X47
| X47 = X46 ),
theory(equality) ).
cnf(singleton_set,axiom,
unordered_pair(X51,X51) = singleton(X51),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(transitivity,axiom,
( X300 != X302
| X302 != X301
| X300 = X301 ),
theory(equality) ).
cnf(c773,plain,
( X2900 != unordered_pair(X2899,X2899)
| X2900 = singleton(X2899) ),
inference(resolution,[status(thm)],[transitivity,singleton_set]) ).
cnf(prove_singleton_is_null_class_1,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).
cnf(null_unordered_pair,axiom,
( unordered_pair(X501,X502) = null_class
| member(X501,universal_class)
| member(X502,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_unordered_pair) ).
cnf(c2090,plain,
( unordered_pair(X2999,X2999) = null_class
| member(X2999,universal_class) ),
inference(factor,[status(thm)],[null_unordered_pair]) ).
cnf(c33045,plain,
unordered_pair(x,x) = null_class,
inference(resolution,[status(thm)],[c2090,prove_singleton_is_null_class_1]) ).
cnf(c33132,plain,
null_class = unordered_pair(x,x),
inference(resolution,[status(thm)],[c33045,symmetry]) ).
cnf(c33226,plain,
null_class = singleton(x),
inference(resolution,[status(thm)],[c33132,c773]) ).
cnf(c33262,plain,
singleton(x) = null_class,
inference(resolution,[status(thm)],[c33226,symmetry]) ).
cnf(c33791,plain,
$false,
inference(resolution,[status(thm)],[c33262,prove_singleton_is_null_class_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET082-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n002.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed May 8 19:31:23 EDT 2024
% 0.12/0.32 % CPUTime :
% 14.69/14.88 % Version: 1.5
% 14.69/14.88 % SZS status Unsatisfiable
% 14.69/14.88 % SZS output start CNFRefutation
% See solution above
% 14.69/14.88
% 14.69/14.88 % Initial clauses : 169
% 14.69/14.88 % Processed clauses : 1226
% 14.69/14.88 % Factors computed : 36
% 14.69/14.88 % Resolvents computed: 33757
% 14.69/14.88 % Tautologies deleted: 14
% 14.69/14.88 % Forward subsumed : 1341
% 14.69/14.88 % Backward subsumed : 16
% 14.69/14.88 % -------- CPU Time ---------
% 14.69/14.88 % User time : 14.461 s
% 14.69/14.88 % System time : 0.086 s
% 14.69/14.88 % Total time : 14.547 s
%------------------------------------------------------------------------------