%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET050-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:38:59 EDT 2024
% Result : Unsatisfiable 1.06s 1.24s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_1_to_unordered_pair_2,negated_conjecture,
~ member(x,unordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_unordered_pair_2) ).
cnf(unordered_pair2,axiom,
( ~ member(X50,universal_class)
| member(X50,unordered_pair(X50,X49)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
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(X5,X4)
| ~ member(X6,X5)
| member(X6,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X73,X75),cross_product(X74,X76))
| member(X73,X74) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(prove_corollary_1_to_unordered_pair_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_unordered_pair_1) ).
cnf(c1619,plain,
member(x,u),
inference(resolution,[status(thm)],[prove_corollary_1_to_unordered_pair_1,cartesian_product1]) ).
cnf(c1625,plain,
( ~ subclass(u,X392)
| member(x,X392) ),
inference(resolution,[status(thm)],[c1619,subclass_members]) ).
cnf(c1780,plain,
member(x,universal_class),
inference(resolution,[status(thm)],[c1625,class_elements_are_sets]) ).
cnf(c1783,plain,
member(x,unordered_pair(x,X397)),
inference(resolution,[status(thm)],[c1780,unordered_pair2]) ).
cnf(c1850,plain,
$false,
inference(resolution,[status(thm)],[c1783,prove_corollary_1_to_unordered_pair_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET050-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n025.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 18:37:23 EDT 2024
% 0.15/0.35 % 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 : 135
% 1.06/1.24 % Processed clauses : 270
% 1.06/1.24 % Factors computed : 10
% 1.06/1.24 % Resolvents computed: 1803
% 1.06/1.24 % Tautologies deleted: 9
% 1.06/1.24 % Forward subsumed : 100
% 1.06/1.24 % Backward subsumed : 1
% 1.06/1.24 % -------- CPU Time ---------
% 1.06/1.24 % User time : 0.842 s
% 1.06/1.24 % System time : 0.022 s
% 1.06/1.24 % Total time : 0.864 s
%------------------------------------------------------------------------------