%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET083-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 17:39:08 EDT 2024
% Result : Unsatisfiable 1.06s 1.24s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 21 ( 13 unt; 1 nHn; 16 RR)
% Number of literals : 31 ( 8 equ; 10 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 3 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(unordered_pair_member,axiom,
( ~ member(X39,unordered_pair(X41,X40))
| X39 = X41
| X39 = X40 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(equal_implies_subclass2,axiom,
( X14 != X15
| subclass(X15,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(singleton_set,axiom,
unordered_pair(X44,X44) = singleton(X44),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c56,plain,
subclass(singleton(X46),unordered_pair(X46,X46)),
inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass2]) ).
cnf(subclass_members,axiom,
( ~ subclass(X4,X6)
| ~ member(X5,X4)
| member(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
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(c88,plain,
subclass(singleton(x),singleton(y)),
inference(resolution,[status(thm)],[prove_singleton_identified_by_element1_1,equal_implies_subclass1]) ).
cnf(c55,plain,
subclass(unordered_pair(X45,X45),singleton(X45)),
inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass1]) ).
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(unordered_pair2,axiom,
( ~ member(X47,universal_class)
| member(X47,unordered_pair(X47,X48)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c62,plain,
member(x,unordered_pair(x,X50)),
inference(resolution,[status(thm)],[unordered_pair2,prove_singleton_identified_by_element1_2]) ).
cnf(c68,plain,
( ~ subclass(unordered_pair(x,X363),X364)
| member(x,X364) ),
inference(resolution,[status(thm)],[c62,subclass_members]) ).
cnf(c1888,plain,
member(x,singleton(x)),
inference(resolution,[status(thm)],[c68,c55]) ).
cnf(c1894,plain,
( ~ subclass(singleton(x),X370)
| member(x,X370) ),
inference(resolution,[status(thm)],[c1888,subclass_members]) ).
cnf(c1933,plain,
member(x,singleton(y)),
inference(resolution,[status(thm)],[c1894,c88]) ).
cnf(c1935,plain,
( ~ subclass(singleton(y),X375)
| member(x,X375) ),
inference(resolution,[status(thm)],[c1933,subclass_members]) ).
cnf(c1970,plain,
member(x,unordered_pair(y,y)),
inference(resolution,[status(thm)],[c1935,c56]) ).
cnf(c2009,plain,
x = y,
inference(resolution,[status(thm)],[c1970,unordered_pair_member]) ).
cnf(c2036,plain,
$false,
inference(resolution,[status(thm)],[c2009,prove_singleton_identified_by_element1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET083-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 19:00:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.06/1.24 % Version: 1.5
% 1.06/1.24 % SZS status Unsatisfiable
% 1.06/1.24 % SZS output start CNFRefutation
% See solution above
% 1.06/1.24
% 1.06/1.24 % Initial clauses : 136
% 1.06/1.24 % Processed clauses : 279
% 1.06/1.24 % Factors computed : 10
% 1.06/1.24 % Resolvents computed: 1991
% 1.06/1.24 % Tautologies deleted: 10
% 1.06/1.24 % Forward subsumed : 103
% 1.06/1.24 % Backward subsumed : 1
% 1.06/1.24 % -------- CPU Time ---------
% 1.06/1.24 % User time : 0.886 s
% 1.06/1.24 % System time : 0.008 s
% 1.06/1.24 % Total time : 0.894 s
%------------------------------------------------------------------------------