%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 10 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_divides_b,negated_conjecture,
~ divides(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divides_b) ).
cnf(a_is_prime,plain,
prime(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_prime) ).
cnf(divides,axiom,
( ~ product(X5,X4,X3)
| divides(X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides) ).
cnf(a_equals_b_squared_by_c_squared,plain,
product(a,square(c),square(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_squared_by_c_squared) ).
cnf(c3,plain,
divides(a,square(b)),
inference(resolution,[status(thm)],[a_equals_b_squared_by_c_squared,divides]) ).
cnf(square,axiom,
product(X2,X2,square(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square) ).
cnf(remainder,axiom,
( ~ prime(X14)
| ~ product(X13,X12,X11)
| ~ divides(X14,X11)
| divides(X14,X13)
| divides(X14,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remainder) ).
cnf(c7,plain,
( ~ prime(X16)
| ~ divides(X16,square(X15))
| divides(X16,X15) ),
inference(resolution,[status(thm)],[remainder,square]) ).
cnf(c11,plain,
( ~ prime(a)
| divides(a,b) ),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(c13,plain,
divides(a,b),
inference(resolution,[status(thm)],[c11,a_is_prime]) ).
cnf(c17,plain,
$false,
inference(resolution,[status(thm)],[c13,prove_a_divides_b]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n003.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 15:56:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.54 % Version: 1.5
% 0.21/0.54 % SZS status Unsatisfiable
% 0.21/0.54 % SZS output start CNFRefutation
% See solution above
% 0.21/0.54
% 0.21/0.54 % Initial clauses : 7
% 0.21/0.54 % Processed clauses : 17
% 0.21/0.54 % Factors computed : 0
% 0.21/0.54 % Resolvents computed: 18
% 0.21/0.54 % Tautologies deleted: 0
% 0.21/0.54 % Forward subsumed : 2
% 0.21/0.54 % Backward subsumed : 1
% 0.21/0.54 % -------- CPU Time ---------
% 0.21/0.54 % User time : 0.169 s
% 0.21/0.54 % System time : 0.014 s
% 0.21/0.54 % Total time : 0.183 s
%------------------------------------------------------------------------------