%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET083-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 0.87s 1.09s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 19 ( 5 equ; 7 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 : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_singleton_identified_by_element1_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_3) ).
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_subclass1,axiom,
( X19 != X20
| subclass(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(prove_singleton_identified_by_element1_1,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_1) ).
cnf(c129,plain,
subclass(singleton(x),singleton(y)),
inference(resolution,[status(thm)],[prove_singleton_identified_by_element1_1,equal_implies_subclass1]) ).
cnf(subclass_members,axiom,
( ~ subclass(X6,X7)
| ~ member(X5,X6)
| member(X5,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(prove_singleton_identified_by_element1_2,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_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(c311,plain,
member(x,singleton(x)),
inference(resolution,[status(thm)],[set_in_its_singleton,prove_singleton_identified_by_element1_2]) ).
cnf(c328,plain,
( ~ subclass(singleton(x),X451)
| member(x,X451) ),
inference(resolution,[status(thm)],[c311,subclass_members]) ).
cnf(c1684,plain,
member(x,singleton(y)),
inference(resolution,[status(thm)],[c328,c129]) ).
cnf(c1691,plain,
x = y,
inference(resolution,[status(thm)],[c1684,only_member_in_singleton]) ).
cnf(c1709,plain,
$false,
inference(resolution,[status(thm)],[c1691,prove_singleton_identified_by_element1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET083-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n012.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 19:03:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.87/1.09 % Version: 1.5
% 0.87/1.09 % SZS status Unsatisfiable
% 0.87/1.09 % SZS output start CNFRefutation
% See solution above
% 0.87/1.09
% 0.87/1.09 % Initial clauses : 171
% 0.87/1.09 % Processed clauses : 266
% 0.87/1.09 % Factors computed : 7
% 0.87/1.09 % Resolvents computed: 1675
% 0.87/1.09 % Tautologies deleted: 13
% 0.87/1.09 % Forward subsumed : 114
% 0.87/1.09 % Backward subsumed : 2
% 0.87/1.09 % -------- CPU Time ---------
% 0.87/1.09 % User time : 0.714 s
% 0.87/1.09 % System time : 0.021 s
% 0.87/1.09 % Total time : 0.735 s
%------------------------------------------------------------------------------