%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:35:00 EDT 2024
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 10 unt; 3 nHn; 16 RR)
% Number of literals : 33 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_self,axiom,
divides(X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_self) ).
cnf(prove_a_has_prime_divisor,negated_conjecture,
( ~ prime(X3)
| ~ divides(X3,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_prime_divisor) ).
cnf(c0,plain,
~ prime(a),
inference(resolution,[status(thm)],[prove_a_has_prime_divisor,divide_self]) ).
cnf(divisor1,axiom,
( prime(X12)
| less(n1,divisor(X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor1) ).
cnf(c12,plain,
less(n1,divisor(a)),
inference(resolution,[status(thm)],[divisor1,c0]) ).
cnf(divisor2,axiom,
( prime(X11)
| less(divisor(X11),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor2) ).
cnf(c10,plain,
less(divisor(a),a),
inference(resolution,[status(thm)],[divisor2,c0]) ).
cnf(factor1,axiom,
( ~ less(n1,X14)
| ~ less(X14,a)
| prime(factor_of(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor1) ).
cnf(c17,plain,
( ~ less(n1,divisor(a))
| prime(factor_of(divisor(a))) ),
inference(resolution,[status(thm)],[factor1,c10]) ).
cnf(c33,plain,
prime(factor_of(divisor(a))),
inference(resolution,[status(thm)],[c17,c12]) ).
cnf(transitive_divide,axiom,
( ~ divides(X5,X6)
| ~ divides(X6,X7)
| divides(X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_divide) ).
cnf(prime,axiom,
( prime(X4)
| divides(divisor(X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime) ).
cnf(c1,plain,
divides(divisor(a),a),
inference(resolution,[status(thm)],[prime,c0]) ).
cnf(c6,plain,
( ~ divides(X13,divisor(a))
| divides(X13,a) ),
inference(resolution,[status(thm)],[c1,transitive_divide]) ).
cnf(factor2,axiom,
( ~ less(n1,X15)
| ~ less(X15,a)
| divides(factor_of(X15),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor2) ).
cnf(c27,plain,
( ~ less(n1,divisor(a))
| divides(factor_of(divisor(a)),divisor(a)) ),
inference(resolution,[status(thm)],[factor2,c10]) ).
cnf(c51,plain,
divides(factor_of(divisor(a)),divisor(a)),
inference(resolution,[status(thm)],[c27,c12]) ).
cnf(c53,plain,
divides(factor_of(divisor(a)),a),
inference(resolution,[status(thm)],[c51,c6]) ).
cnf(c56,plain,
~ prime(factor_of(divisor(a))),
inference(resolution,[status(thm)],[c53,prove_a_has_prime_divisor]) ).
cnf(c61,plain,
$false,
inference(resolution,[status(thm)],[c56,c33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n018.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 16:29:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.55 % Version: 1.5
% 0.20/0.55 % SZS status Unsatisfiable
% 0.20/0.55 % SZS output start CNFRefutation
% See solution above
% 0.20/0.55
% 0.20/0.55 % Initial clauses : 9
% 0.20/0.55 % Processed clauses : 39
% 0.20/0.55 % Factors computed : 1
% 0.20/0.55 % Resolvents computed: 61
% 0.20/0.55 % Tautologies deleted: 2
% 0.20/0.55 % Forward subsumed : 10
% 0.20/0.55 % Backward subsumed : 3
% 0.20/0.55 % -------- CPU Time ---------
% 0.20/0.55 % User time : 0.175 s
% 0.20/0.55 % System time : 0.015 s
% 0.20/0.55 % Total time : 0.190 s
%------------------------------------------------------------------------------