%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET101-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:39:12 EDT 2024
% Result : Unsatisfiable 6.16s 6.35s
% Output : Refutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 16 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_singleton_member_of_ordered_pair_1,negated_conjecture,
~ member(singleton(x),ordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_member_of_ordered_pair_1) ).
cnf(equal_implies_subclass1,axiom,
( X16 != X17
| subclass(X16,X17) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X65),unordered_pair(X65,singleton(X66))) = ordered_pair(X65,X66),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(c86,plain,
subclass(unordered_pair(singleton(X845),unordered_pair(X845,singleton(X844))),ordered_pair(X845,X844)),
inference(resolution,[status(thm)],[ordered_pair,equal_implies_subclass1]) ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X7)
| ~ member(X6,X5)
| member(X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(singletons_are_sets,axiom,
member(singleton(X15),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletons_are_sets) ).
cnf(unordered_pair2,axiom,
( ~ member(X48,universal_class)
| member(X48,unordered_pair(X48,X49)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c65,plain,
member(singleton(X192),unordered_pair(singleton(X192),X191)),
inference(resolution,[status(thm)],[unordered_pair2,singletons_are_sets]) ).
cnf(c328,plain,
( ~ subclass(unordered_pair(singleton(X1636),X1634),X1635)
| member(singleton(X1636),X1635) ),
inference(resolution,[status(thm)],[c65,subclass_members]) ).
cnf(c16346,plain,
member(singleton(X1639),ordered_pair(X1639,X1638)),
inference(resolution,[status(thm)],[c328,c86]) ).
cnf(c16357,plain,
$false,
inference(resolution,[status(thm)],[c16346,prove_singleton_member_of_ordered_pair_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SET101-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 18:14:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 6.16/6.35 % Version: 1.5
% 6.16/6.35 % SZS status Unsatisfiable
% 6.16/6.35 % SZS output start CNFRefutation
% See solution above
% 6.16/6.35
% 6.16/6.35 % Initial clauses : 190
% 6.16/6.35 % Processed clauses : 791
% 6.16/6.35 % Factors computed : 34
% 6.16/6.35 % Resolvents computed: 16309
% 6.16/6.35 % Tautologies deleted: 12
% 6.16/6.35 % Forward subsumed : 663
% 6.16/6.35 % Backward subsumed : 7
% 6.16/6.35 % -------- CPU Time ---------
% 6.16/6.35 % User time : 5.939 s
% 6.16/6.35 % System time : 0.044 s
% 6.16/6.35 % Total time : 5.983 s
%------------------------------------------------------------------------------