%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:39:14 EDT 2024
% Result : Unsatisfiable 1.75s 1.98s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 4 RR)
% Number of literals : 6 ( 3 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_unique_2nd_in_pair_of_non_sets,negated_conjecture,
second(x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_2nd_in_pair_of_non_sets) ).
cnf(existence_of_1st_and_2nd_3,axiom,
( member(ordered_pair(first(X671),second(X671)),cross_product(universal_class,universal_class))
| second(X671) = X671 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_1st_and_2nd_3) ).
cnf(prove_unique_1st_and_2nd_in_pair_of_non_sets2_1,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets2_1) ).
cnf(c4633,plain,
second(x) = x,
inference(resolution,[status(thm)],[prove_unique_1st_and_2nd_in_pair_of_non_sets2_1,existence_of_1st_and_2nd_3]) ).
cnf(c4666,plain,
$false,
inference(resolution,[status(thm)],[c4633,prove_unique_2nd_in_pair_of_non_sets]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed May 8 18:36:22 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.75/1.98 % Version: 1.5
% 1.75/1.98 % SZS status Unsatisfiable
% 1.75/1.98 % SZS output start CNFRefutation
% See solution above
% 1.75/1.98
% 1.75/1.98 % Initial clauses : 205
% 1.75/1.98 % Processed clauses : 413
% 1.75/1.98 % Factors computed : 12
% 1.75/1.98 % Resolvents computed: 4634
% 1.75/1.98 % Tautologies deleted: 12
% 1.75/1.98 % Forward subsumed : 237
% 1.75/1.98 % Backward subsumed : 5
% 1.75/1.98 % -------- CPU Time ---------
% 1.75/1.98 % User time : 1.639 s
% 1.75/1.98 % System time : 0.018 s
% 1.75/1.98 % Total time : 1.656 s
%------------------------------------------------------------------------------