%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:35:03 EDT 2024
% Result : Unsatisfiable 8.01s 8.19s
% Output : Refutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 8 unt; 6 nHn; 13 RR)
% Number of literals : 33 ( 0 equ; 11 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(number_not_less_than_itself,axiom,
~ less(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',number_not_less_than_itself) ).
cnf(transitivity_of_less,axiom,
( ~ less(X32,X33)
| ~ less(X31,X32)
| less(X31,X33) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',transitivity_of_less) ).
cnf(b_times_c_less_than_a_times_c,plain,
less(multiply(b,c),multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_c_less_than_a_times_c) ).
cnf(c119,plain,
( ~ less(multiply(a,c),X455)
| less(multiply(b,c),X455) ),
inference(resolution,[status(thm)],[b_times_c_less_than_a_times_c,transitivity_of_less]) ).
cnf(prove_c_is_0,negated_conjecture,
~ equalish(c,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_0) ).
cnf(multiply_lemma,axiom,
( ~ less(X69,X70)
| equalish(X68,n0)
| less(multiply(X69,X68),multiply(X70,X68)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_lemma) ).
cnf(b_not_less_than_a,plain,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_less_than_a) ).
cnf(not_less_and_equal,axiom,
( ~ less(X9,X10)
| ~ equalish(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_and_equal) ).
cnf(numbers_either_less_or_equal,axiom,
( less(X49,X50)
| equalish(X50,X49)
| less(X50,X49) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',numbers_either_less_or_equal) ).
cnf(equality_preserved_over_times,axiom,
( ~ equalish(X59,X60)
| equalish(multiply(X59,X58),multiply(X60,X58)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_preserved_over_times) ).
cnf(c79,plain,
( equalish(multiply(X342,X341),multiply(X343,X341))
| less(X343,X342)
| less(X342,X343) ),
inference(resolution,[status(thm)],[equality_preserved_over_times,numbers_either_less_or_equal]) ).
cnf(c1202,plain,
( less(X1909,X1911)
| less(X1911,X1909)
| ~ less(multiply(X1911,X1910),multiply(X1909,X1910)) ),
inference(resolution,[status(thm)],[c79,not_less_and_equal]) ).
cnf(c14681,plain,
( less(a,b)
| less(b,a) ),
inference(resolution,[status(thm)],[c1202,b_times_c_less_than_a_times_c]) ).
cnf(c14721,plain,
less(a,b),
inference(resolution,[status(thm)],[c14681,b_not_less_than_a]) ).
cnf(c14730,plain,
( equalish(X1989,n0)
| less(multiply(a,X1989),multiply(b,X1989)) ),
inference(resolution,[status(thm)],[c14721,multiply_lemma]) ).
cnf(c16459,plain,
less(multiply(a,c),multiply(b,c)),
inference(resolution,[status(thm)],[c14730,prove_c_is_0]) ).
cnf(c16707,plain,
less(multiply(b,c),multiply(b,c)),
inference(resolution,[status(thm)],[c16459,c119]) ).
cnf(c16726,plain,
$false,
inference(resolution,[status(thm)],[c16707,number_not_less_than_itself]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM027-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 16:29:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 8.01/8.19 % Version: 1.5
% 8.01/8.19 % SZS status Unsatisfiable
% 8.01/8.19 % SZS output start CNFRefutation
% See solution above
% 8.01/8.19
% 8.01/8.19 % Initial clauses : 21
% 8.01/8.19 % Processed clauses : 578
% 8.01/8.19 % Factors computed : 59
% 8.01/8.19 % Resolvents computed: 16668
% 8.01/8.19 % Tautologies deleted: 9
% 8.01/8.19 % Forward subsumed : 929
% 8.01/8.19 % Backward subsumed : 41
% 8.01/8.19 % -------- CPU Time ---------
% 8.01/8.19 % User time : 7.770 s
% 8.01/8.19 % System time : 0.058 s
% 8.01/8.19 % Total time : 7.828 s
%------------------------------------------------------------------------------