%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 17:39:09 EDT 2024
% Result : Unsatisfiable 0.93s 1.12s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 22 ( 8 equ; 8 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; 3 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_singleton_identified_by_element2_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
cnf(symmetry,axiom,
( X46 != X47
| X47 = X46 ),
theory(equality) ).
cnf(only_member_in_singleton,axiom,
( ~ member(X101,singleton(X100))
| X101 = X100 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(equal_implies_subclass2,axiom,
( X22 != X23
| subclass(X23,X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(prove_singleton_identified_by_element2_1,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
cnf(c130,plain,
subclass(singleton(y),singleton(x)),
inference(resolution,[status(thm)],[prove_singleton_identified_by_element2_1,equal_implies_subclass2]) ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X7)
| ~ member(X6,X5)
| member(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(prove_singleton_identified_by_element2_2,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
cnf(set_in_its_singleton,axiom,
( ~ member(X176,universal_class)
| member(X176,singleton(X176)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
cnf(c315,plain,
member(y,singleton(y)),
inference(resolution,[status(thm)],[set_in_its_singleton,prove_singleton_identified_by_element2_2]) ).
cnf(c332,plain,
( ~ subclass(singleton(y),X458)
| member(y,X458) ),
inference(resolution,[status(thm)],[c315,subclass_members]) ).
cnf(c1693,plain,
member(y,singleton(x)),
inference(resolution,[status(thm)],[c332,c130]) ).
cnf(c1699,plain,
y = x,
inference(resolution,[status(thm)],[c1693,only_member_in_singleton]) ).
cnf(c1709,plain,
x = y,
inference(resolution,[status(thm)],[c1699,symmetry]) ).
cnf(c1824,plain,
$false,
inference(resolution,[status(thm)],[c1709,prove_singleton_identified_by_element2_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:51:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.93/1.12 % Version: 1.5
% 0.93/1.12 % SZS status Unsatisfiable
% 0.93/1.12 % SZS output start CNFRefutation
% See solution above
% 0.93/1.12
% 0.93/1.12 % Initial clauses : 171
% 0.93/1.12 % Processed clauses : 271
% 0.93/1.12 % Factors computed : 8
% 0.93/1.12 % Resolvents computed: 1782
% 0.93/1.12 % Tautologies deleted: 13
% 0.93/1.12 % Forward subsumed : 119
% 0.93/1.12 % Backward subsumed : 2
% 0.93/1.12 % -------- CPU Time ---------
% 0.93/1.12 % User time : 0.747 s
% 0.93/1.12 % System time : 0.015 s
% 0.93/1.12 % Total time : 0.762 s
%------------------------------------------------------------------------------