%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 12 unt; 2 nHn; 16 RR)
% Number of literals : 30 ( 11 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_singleton_in_unordered_pair3_4,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
cnf(prove_singleton_in_unordered_pair3_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
cnf(unordered_pair_member,axiom,
( ~ member(X40,unordered_pair(X38,X39))
| X40 = X38
| X40 = X39 ),
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(prove_singleton_in_unordered_pair3_1,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
cnf(c594,plain,
subclass(singleton(x),unordered_pair(y,z)),
inference(resolution,[status(thm)],[prove_singleton_in_unordered_pair3_1,equal_implies_subclass2]) ).
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(equal_implies_subclass1,axiom,
( X11 != X12
| subclass(X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(singleton_set,axiom,
unordered_pair(X44,X44) = singleton(X44),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c55,plain,
subclass(unordered_pair(X45,X45),singleton(X45)),
inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass1]) ).
cnf(prove_singleton_in_unordered_pair3_2,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
cnf(unordered_pair2,axiom,
( ~ member(X46,universal_class)
| member(X46,unordered_pair(X46,X47)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c61,plain,
member(x,unordered_pair(x,X51)),
inference(resolution,[status(thm)],[unordered_pair2,prove_singleton_in_unordered_pair3_2]) ).
cnf(c70,plain,
( ~ subclass(unordered_pair(x,X372),X371)
| member(x,X371) ),
inference(resolution,[status(thm)],[c61,subclass_members]) ).
cnf(c1933,plain,
member(x,singleton(x)),
inference(resolution,[status(thm)],[c70,c55]) ).
cnf(c1939,plain,
( ~ subclass(singleton(x),X378)
| member(x,X378) ),
inference(resolution,[status(thm)],[c1933,subclass_members]) ).
cnf(c1975,plain,
member(x,unordered_pair(y,z)),
inference(resolution,[status(thm)],[c1939,c594]) ).
cnf(c2011,plain,
( x = y
| x = z ),
inference(resolution,[status(thm)],[c1975,unordered_pair_member]) ).
cnf(c2029,plain,
x = z,
inference(resolution,[status(thm)],[c2011,prove_singleton_in_unordered_pair3_3]) ).
cnf(c2088,plain,
$false,
inference(resolution,[status(thm)],[c2029,prove_singleton_in_unordered_pair3_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.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 18:53:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 1.01/1.18 % Version: 1.5
% 1.01/1.18 % SZS status Unsatisfiable
% 1.01/1.18 % SZS output start CNFRefutation
% See solution above
% 1.01/1.18
% 1.01/1.18 % Initial clauses : 137
% 1.01/1.18 % Processed clauses : 272
% 1.01/1.18 % Factors computed : 10
% 1.01/1.18 % Resolvents computed: 2053
% 1.01/1.18 % Tautologies deleted: 10
% 1.01/1.18 % Forward subsumed : 105
% 1.01/1.18 % Backward subsumed : 2
% 1.01/1.18 % -------- CPU Time ---------
% 1.01/1.18 % User time : 0.809 s
% 1.01/1.18 % System time : 0.017 s
% 1.01/1.18 % Total time : 0.826 s
%------------------------------------------------------------------------------