%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM294+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 : n017.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 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(n12_less_something,plain,
? [X] : less(n12,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n12_less_something) ).
fof(n12_less_something_negated,plain,
~ ? [X] : less(n12,X),
inference(negate_conjecture,[status(cth)],[n12_less_something]) ).
cnf(406,plain,
~ less(n12,X0),
inference(cnf,[status(esa)],[n12_less_something_negated]) ).
cnf(l0,plain,
~ less(n12,n23),
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(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1))))
| ~ rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2))))
| ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n3),rdnn(n2)))
| less(n12,n23) ),
inference(instantiation,[status(thm)],[280]) ).
fof(rdn12,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('Axioms/NUM005+0.ax',rdn12) ).
cnf(12,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf,[status(esa)],[rdn12]) ).
cnf(l2,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(instantiation,[status(thm)],[12]) ).
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(l4,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n2))
| rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n3),rdnn(n2))) ),
inference(instantiation,[status(thm)],[275]) ).
fof(rdn_positive_less12,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('Axioms/NUM005+1.ax',rdn_positive_less12) ).
cnf(266,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf,[status(esa)],[rdn_positive_less12]) ).
cnf(l6,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(instantiation,[status(thm)],[266]) ).
fof(rdn23,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn23) ).
cnf(23,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn23]) ).
cnf(l3,plain,
rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l6,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM294+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 11:32:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 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: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------