%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET072-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:39:05 EDT 2024
% Result : Unsatisfiable 13.61s 13.78s
% Output : Refutation 13.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 15 unt; 4 nHn; 27 RR)
% Number of literals : 48 ( 22 equ; 15 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_right_cancellation_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_3) ).
cnf(transitivity,axiom,
( X189 != X187
| X187 != X188
| X189 = X188 ),
theory(equality) ).
cnf(symmetry,axiom,
( X37 != X36
| X36 = X37 ),
theory(equality) ).
cnf(unordered_pair_member,axiom,
( ~ member(X41,unordered_pair(X42,X40))
| X41 = X42
| X41 = X40 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(subclass_members,axiom,
( ~ subclass(X6,X4)
| ~ member(X5,X6)
| member(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(unordered_pair2,axiom,
( ~ member(X49,universal_class)
| member(X49,unordered_pair(X49,X48)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X86,X84),cross_product(X87,X85))
| member(X84,X85) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(prove_right_cancellation_2,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_2) ).
cnf(c1646,plain,
member(y,universal_class),
inference(resolution,[status(thm)],[prove_right_cancellation_2,cartesian_product2]) ).
cnf(c1663,plain,
member(y,unordered_pair(y,X388)),
inference(resolution,[status(thm)],[c1646,unordered_pair2]) ).
cnf(c1761,plain,
( ~ subclass(unordered_pair(y,X594),X593)
| member(y,X593) ),
inference(resolution,[status(thm)],[c1663,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X15 != X14
| subclass(X14,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(prove_right_cancellation_1,negated_conjecture,
unordered_pair(x,z) = unordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_1) ).
cnf(c1626,plain,
subclass(unordered_pair(y,z),unordered_pair(x,z)),
inference(resolution,[status(thm)],[prove_right_cancellation_1,equal_implies_subclass2]) ).
cnf(c20002,plain,
member(y,unordered_pair(x,z)),
inference(resolution,[status(thm)],[c1626,c1761]) ).
cnf(c20008,plain,
( y = x
| y = z ),
inference(resolution,[status(thm)],[c20002,unordered_pair_member]) ).
cnf(c20039,plain,
( y = z
| x = y ),
inference(resolution,[status(thm)],[c20008,symmetry]) ).
cnf(c20220,plain,
y = z,
inference(resolution,[status(thm)],[c20039,prove_right_cancellation_3]) ).
cnf(c20267,plain,
z = y,
inference(resolution,[status(thm)],[c20220,symmetry]) ).
cnf(c20316,plain,
( X1287 != z
| X1287 = y ),
inference(resolution,[status(thm)],[c20267,transitivity]) ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X75,X73),cross_product(X76,X74))
| member(X75,X76) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c1640,plain,
member(x,universal_class),
inference(resolution,[status(thm)],[prove_right_cancellation_2,cartesian_product1]) ).
cnf(c1651,plain,
member(x,unordered_pair(x,X386)),
inference(resolution,[status(thm)],[c1640,unordered_pair2]) ).
cnf(c1751,plain,
( ~ subclass(unordered_pair(x,X582),X583)
| member(x,X583) ),
inference(resolution,[status(thm)],[c1651,subclass_members]) ).
cnf(equal_implies_subclass1,axiom,
( X10 != X9
| subclass(X10,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(c1635,plain,
subclass(unordered_pair(x,z),unordered_pair(y,z)),
inference(resolution,[status(thm)],[prove_right_cancellation_1,equal_implies_subclass1]) ).
cnf(c28901,plain,
member(x,unordered_pair(y,z)),
inference(resolution,[status(thm)],[c1635,c1751]) ).
cnf(c28916,plain,
( x = y
| x = z ),
inference(resolution,[status(thm)],[c28901,unordered_pair_member]) ).
cnf(c29406,plain,
x = y,
inference(resolution,[status(thm)],[c28916,c20316]) ).
cnf(c29460,plain,
$false,
inference(resolution,[status(thm)],[c29406,prove_right_cancellation_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET072-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:31:52 EDT 2024
% 0.14/0.36 % CPUTime :
% 13.61/13.78 % Version: 1.5
% 13.61/13.78 % SZS status Unsatisfiable
% 13.61/13.78 % SZS output start CNFRefutation
% See solution above
% 13.61/13.78
% 13.61/13.78 % Initial clauses : 136
% 13.61/13.78 % Processed clauses : 1212
% 13.61/13.78 % Factors computed : 33
% 13.61/13.78 % Resolvents computed: 29425
% 13.61/13.78 % Tautologies deleted: 11
% 13.61/13.78 % Forward subsumed : 701
% 13.61/13.78 % Backward subsumed : 7
% 13.61/13.78 % -------- CPU Time ---------
% 13.61/13.78 % User time : 13.365 s
% 13.61/13.78 % System time : 0.057 s
% 13.61/13.78 % Total time : 13.422 s
%------------------------------------------------------------------------------