%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM303+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 12:27:53 PM UTC 2025
% Result : Theorem 0.18s 0.56s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 39 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 10 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(n31_not_n12,plain,
n31 != n21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n31_not_n12) ).
fof(n31_not_n12_negated,plain,
~ ( n31 != n21 ),
inference(negate_conjecture,[status(cth)],[n31_not_n12]) ).
cnf(406,plain,
n31 = n21,
inference(cnf,[status(esa)],[n31_not_n12_negated]) ).
cnf(l0,plain,
n31 = n21,
inference(instantiation,[status(thm)],[406]) ).
fof(less_property,plain,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ),
file('Axioms/NUM005+1.ax',less_property) ).
cnf(284,plain,
( X0 != X1
| ~ less(X1,X0) ),
inference(cnf,[status(esa)],[less_property]) ).
cnf(l1,plain,
( n31 != n21
| ~ less(n21,n31) ),
inference(instantiation,[status(thm)],[284]) ).
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(l2,plain,
( ~ rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2))))
| ~ rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3))))
| ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n2)),rdn(rdnn(n1),rdnn(n3)))
| less(n21,n31) ),
inference(instantiation,[status(thm)],[280]) ).
fof(rdn31,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
file('Axioms/NUM005+0.ax',rdn31) ).
cnf(31,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(cnf,[status(esa)],[rdn31]) ).
cnf(l27,plain,
rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
inference(instantiation,[status(thm)],[31]) ).
fof(rdn21,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn21) ).
cnf(21,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn21]) ).
cnf(l25,plain,
rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
inference(instantiation,[status(thm)],[21]) ).
fof(rdn_positive_less_multi_digit_high,plain,
! [Ds,Os,Db,Ob] :
( rdn_positive_less(Os,Ob)
=> rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)) ),
file('Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
cnf(275,plain,
( ~ rdn_positive_less(X0,X1)
| rdn_positive_less(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)) ),
inference(cnf,[status(esa)],[rdn_positive_less_multi_digit_high]) ).
cnf(l13,plain,
( ~ rdn_positive_less(rdnn(n2),rdnn(n3))
| rdn_positive_less(rdn(rdnn(n1),rdnn(n2)),rdn(rdnn(n1),rdnn(n3))) ),
inference(instantiation,[status(thm)],[275]) ).
fof(rdn_positive_less23,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('Axioms/NUM005+1.ax',rdn_positive_less23) ).
cnf(267,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf,[status(esa)],[rdn_positive_less23]) ).
cnf(l15,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(instantiation,[status(thm)],[267]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l27,l25,l13,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM303+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 11:33:34 EDT 2025
% 0.18/0.33 % CPUTime :
% 0.18/0.35 % launching worker at depth: 6
% 0.18/0.35 % launching worker at depth: 7
% 0.18/0.35 % launching worker at depth: 1
% 0.18/0.35 % launching worker at depth: 2
% 0.18/0.35 % launching worker at depth: 3
% 0.18/0.35 % launching worker at depth: 4
% 0.18/0.35 % launching worker at depth: 5
% 0.18/0.35 % launching worker at depth: 8
% 0.18/0.35 % launching worker at depth: 9
% 0.18/0.36 % launching worker at depth: 10
% 0.18/0.56 % SZS status Theorem for theBenchmark
% 0.18/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------