%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET024-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:38:53 EDT 2024
% Result : Unsatisfiable 0.91s 1.12s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 16 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 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 : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_set_in_its_singleton_2,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_2) ).
cnf(equal_implies_subclass1,axiom,
( X10 != X9
| subclass(X10,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(singleton_set,axiom,
unordered_pair(X44,X44) = singleton(X44),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c57,plain,
subclass(unordered_pair(X49,X49),singleton(X49)),
inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass1]) ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X4)
| ~ member(X6,X5)
| member(X6,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(prove_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_1) ).
cnf(unordered_pair2,axiom,
( ~ member(X48,universal_class)
| member(X48,unordered_pair(X48,X47)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c63,plain,
member(x,unordered_pair(x,X53)),
inference(resolution,[status(thm)],[unordered_pair2,prove_set_in_its_singleton_1]) ).
cnf(c67,plain,
( ~ subclass(unordered_pair(x,X357),X356)
| member(x,X356) ),
inference(resolution,[status(thm)],[c63,subclass_members]) ).
cnf(c1815,plain,
member(x,singleton(x)),
inference(resolution,[status(thm)],[c67,c57]) ).
cnf(c1821,plain,
$false,
inference(resolution,[status(thm)],[c1815,prove_set_in_its_singleton_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SET024-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 19:01:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.91/1.12 % Version: 1.5
% 0.91/1.12 % SZS status Unsatisfiable
% 0.91/1.12 % SZS output start CNFRefutation
% See solution above
% 0.91/1.12
% 0.91/1.12 % Initial clauses : 135
% 0.91/1.12 % Processed clauses : 257
% 0.91/1.12 % Factors computed : 6
% 0.91/1.12 % Resolvents computed: 1778
% 0.91/1.12 % Tautologies deleted: 10
% 0.91/1.12 % Forward subsumed : 94
% 0.91/1.12 % Backward subsumed : 1
% 0.91/1.12 % -------- CPU Time ---------
% 0.91/1.12 % User time : 0.748 s
% 0.91/1.12 % System time : 0.019 s
% 0.91/1.12 % Total time : 0.767 s
%------------------------------------------------------------------------------