%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM292+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 : Fri Jul 25 12:27:52 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 10 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(n2_less_n13,plain,
less(n2,n13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_less_n13) ).
fof(n2_less_n13_negated,plain,
~ less(n2,n13),
inference(negate_conjecture,[status(cth)],[n2_less_n13]) ).
cnf(406,plain,
~ less(n2,n13),
inference(cnf,[status(esa)],[n2_less_n13_negated]) ).
cnf(l0,plain,
~ less(n2,n13),
inference(instantiation,[status(thm)],[406]) ).
fof(less_entry_point_pos_pos,plain,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_pos(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_positive_less(RDN_X,RDN_Y) )
=> less(X,Y) ),
file('Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(280,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).
cnf(l1,plain,
( ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
| ~ rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))
| ~ rdn_positive_less(rdnn(n2),rdn(rdnn(n3),rdnn(n1)))
| less(n2,n13) ),
inference(instantiation,[status(thm)],[280]) ).
fof(rdn2,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('Axioms/NUM005+0.ax',rdn2) ).
cnf(2,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf,[status(esa)],[rdn2]) ).
cnf(l2,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(instantiation,[status(thm)],[2]) ).
fof(rdn13,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('Axioms/NUM005+0.ax',rdn13) ).
cnf(13,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf,[status(esa)],[rdn13]) ).
cnf(l3,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(instantiation,[status(thm)],[13]) ).
fof(rdn_extra_digits_positive_less,plain,
! [D,Db,Ob] :
( rdn_non_zero(Ob)
=> rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)) ),
file('Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
cnf(277,plain,
( ~ rdn_non_zero(X0)
| rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
inference(cnf,[status(esa)],[rdn_extra_digits_positive_less]) ).
cnf(l4,plain,
( ~ rdn_non_zero(rdnn(n1))
| rdn_positive_less(rdnn(n2),rdn(rdnn(n3),rdnn(n1))) ),
inference(instantiation,[status(thm)],[277]) ).
fof(rdn_non_zero_by_digit,plain,
! [X] :
( rdn_non_zero_digit(rdnn(X))
=> rdn_non_zero(rdnn(X)) ),
file('Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
cnf(278,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf,[status(esa)],[rdn_non_zero_by_digit]) ).
cnf(l5,plain,
( ~ rdn_non_zero_digit(rdnn(n1))
| rdn_non_zero(rdnn(n1)) ),
inference(instantiation,[status(thm)],[278]) ).
fof(rdn_digit1,plain,
rdn_non_zero_digit(rdnn(n1)),
file('Axioms/NUM005+1.ax',rdn_digit1) ).
cnf(256,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf,[status(esa)],[rdn_digit1]) ).
cnf(l6,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(instantiation,[status(thm)],[256]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM292+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 11:32:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------