%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 17:35:18 EDT 2024
% Result : Unsatisfiable 15.16s 15.36s
% Output : Refutation 15.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 12 unt; 3 nHn; 21 RR)
% Number of literals : 39 ( 8 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(subclass_members,axiom,
( ~ subclass(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(inductive1,axiom,
( ~ inductive(X22)
| member(null_class,X22) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(c68,plain,
member(null_class,omega),
inference(resolution,[status(thm)],[inductive1,omega_is_inductive1]) ).
cnf(c69,plain,
( ~ subclass(omega,X121)
| member(null_class,X121) ),
inference(resolution,[status(thm)],[c68,subclass_members]) ).
cnf(c174,plain,
member(null_class,universal_class),
inference(resolution,[status(thm)],[c69,class_elements_are_sets]) ).
cnf(complement1,axiom,
( ~ member(X78,complement(X77))
| ~ member(X78,X77) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(prove_omega_is_not_null_1,negated_conjecture,
omega = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_omega_is_not_null_1) ).
cnf(c46,axiom,
( X93 != X92
| ~ inductive(X93)
| inductive(X92) ),
theory(equality) ).
cnf(c127,plain,
( ~ inductive(omega)
| inductive(null_class) ),
inference(resolution,[status(thm)],[c46,prove_omega_is_not_null_1]) ).
cnf(c131,plain,
inductive(null_class),
inference(resolution,[status(thm)],[c127,omega_is_inductive1]) ).
cnf(c133,plain,
member(null_class,null_class),
inference(resolution,[status(thm)],[c131,inductive1]) ).
cnf(c136,plain,
( ~ subclass(null_class,X133)
| member(null_class,X133) ),
inference(resolution,[status(thm)],[c133,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X14 != X15
| subclass(X15,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(regularity1,axiom,
( X147 = null_class
| member(regular(X147),X147) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c272,plain,
( complement(X958) = null_class
| ~ member(regular(complement(X958)),X958) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(c278,plain,
( X969 = null_class
| ~ subclass(X969,X970)
| member(regular(X969),X970) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c21763,plain,
( X1192 = null_class
| member(regular(X1192),universal_class) ),
inference(resolution,[status(thm)],[c278,class_elements_are_sets]) ).
cnf(c28325,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c21763,c272]) ).
cnf(c28347,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c28325,equal_implies_subclass2]) ).
cnf(c28416,plain,
member(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c28347,c136]) ).
cnf(c28534,plain,
~ member(null_class,universal_class),
inference(resolution,[status(thm)],[c28416,complement1]) ).
cnf(c28700,plain,
$false,
inference(resolution,[status(thm)],[c28534,c174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 17:07:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 15.16/15.36 % Version: 1.5
% 15.16/15.36 % SZS status Unsatisfiable
% 15.16/15.36 % SZS output start CNFRefutation
% See solution above
% 15.16/15.36
% 15.16/15.36 % Initial clauses : 222
% 15.16/15.36 % Processed clauses : 1250
% 15.16/15.36 % Factors computed : 39
% 15.16/15.36 % Resolvents computed: 28603
% 15.16/15.36 % Tautologies deleted: 9
% 15.16/15.36 % Forward subsumed : 1016
% 15.16/15.36 % Backward subsumed : 51
% 15.16/15.36 % -------- CPU Time ---------
% 15.16/15.36 % User time : 14.919 s
% 15.16/15.36 % System time : 0.070 s
% 15.16/15.36 % Total time : 14.989 s
%------------------------------------------------------------------------------