%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET094-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:39:11 EDT 2024
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% 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 ( 8 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_property_of_singletons1_3,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).
cnf(symmetry,axiom,
( X46 != X47
| X47 = X46 ),
theory(equality) ).
cnf(only_member_in_singleton,axiom,
( ~ member(X96,singleton(X95))
| X96 = X95 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
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(prove_property_of_singletons1_2,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).
cnf(c45,plain,
( ~ subclass(x,X124)
| member(y,X124) ),
inference(resolution,[status(thm)],[prove_property_of_singletons1_2,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X22 != X23
| subclass(X23,X22) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(prove_property_of_singletons1_1,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).
cnf(c125,plain,
subclass(x,singleton(member_of(x))),
inference(resolution,[status(thm)],[prove_property_of_singletons1_1,equal_implies_subclass2]) ).
cnf(c247,plain,
member(y,singleton(member_of(x))),
inference(resolution,[status(thm)],[c125,c45]) ).
cnf(c284,plain,
y = member_of(x),
inference(resolution,[status(thm)],[c247,only_member_in_singleton]) ).
cnf(c289,plain,
member_of(x) = y,
inference(resolution,[status(thm)],[c284,symmetry]) ).
cnf(c298,plain,
$false,
inference(resolution,[status(thm)],[c289,prove_property_of_singletons1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET094-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed May 8 18:19:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.60/0.78 % Version: 1.5
% 0.60/0.78 % SZS status Unsatisfiable
% 0.60/0.78 % SZS output start CNFRefutation
% See solution above
% 0.60/0.78
% 0.60/0.78 % Initial clauses : 184
% 0.60/0.78 % Processed clauses : 96
% 0.60/0.78 % Factors computed : 3
% 0.60/0.78 % Resolvents computed: 261
% 0.60/0.78 % Tautologies deleted: 5
% 0.60/0.78 % Forward subsumed : 37
% 0.60/0.78 % Backward subsumed : 0
% 0.60/0.78 % -------- CPU Time ---------
% 0.60/0.78 % User time : 0.392 s
% 0.60/0.78 % System time : 0.022 s
% 0.60/0.78 % Total time : 0.414 s
%------------------------------------------------------------------------------