%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM300+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 : n026.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 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(something_less_n0,plain,
? [X] : less(X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_n0) ).
fof(something_less_n0_negated,plain,
~ ? [X] : less(X,n0),
inference(negate_conjecture,[status(cth)],[something_less_n0]) ).
cnf(406,plain,
~ less(X0,n0),
inference(cnf,[status(esa)],[something_less_n0_negated]) ).
cnf(l0,plain,
~ less(nn83,n0),
inference(instantiation,[status(thm)],[406]) ).
fof(less_entry_point_neg_pos,plain,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_neg(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y)) )
=> less(X,Y) ),
file('Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).
cnf(281,plain,
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| less(X0,X2) ),
inference(cnf,[status(esa)],[less_entry_point_neg_pos]) ).
cnf(l1,plain,
( ~ rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8))))
| ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
| less(nn83,n0) ),
inference(instantiation,[status(thm)],[281]) ).
fof(rdnn83,plain,
rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))),
file('Axioms/NUM005+0.ax',rdnn83) ).
cnf(210,plain,
rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))),
inference(cnf,[status(esa)],[rdnn83]) ).
cnf(l2,plain,
rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))),
inference(instantiation,[status(thm)],[210]) ).
fof(rdn0,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('Axioms/NUM005+0.ax',rdn0) ).
cnf(0,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf,[status(esa)],[rdn0]) ).
cnf(l3,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM300+1 : TPTP v9.0.0. Released v3.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 11:33:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------