%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM326+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 : n024.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 12:27:56 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% 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 : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 9 ( 1 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sum_what_nn5_n0,plain,
? [X] : sum(X,nn5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_n0) ).
fof(sum_what_nn5_n0_negated,plain,
~ ? [X] : sum(X,nn5,n0),
inference(negate_conjecture,[status(cth)],[sum_what_nn5_n0]) ).
cnf(406,plain,
~ sum(X0,nn5,n0),
inference(cnf,[status(esa)],[sum_what_nn5_n0_negated]) ).
cnf(l0,plain,
~ sum(n5,nn5,n0),
inference(instantiation,[status(thm)],[406]) ).
fof(sum_entry_point_posx_negx,plain,
! [POS_X,NEG_X,RDN_X] :
( ( rdn_translate(POS_X,rdn_pos(RDN_X))
& rdn_translate(NEG_X,rdn_neg(RDN_X)) )
=> sum(POS_X,NEG_X,n0) ),
file('Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).
cnf(294,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_neg(X1))
| sum(X0,X2,n0) ),
inference(cnf,[status(esa)],[sum_entry_point_posx_negx]) ).
cnf(l1,plain,
( ~ rdn_translate(n5,rdn_pos(rdnn(n5)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| sum(n5,nn5,n0) ),
inference(instantiation,[status(thm)],[294]) ).
fof(rdnn5,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('Axioms/NUM005+0.ax',rdnn5) ).
cnf(132,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf,[status(esa)],[rdnn5]) ).
cnf(l3,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(instantiation,[status(thm)],[132]) ).
fof(rdn5,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('Axioms/NUM005+0.ax',rdn5) ).
cnf(5,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(cnf,[status(esa)],[rdn5]) ).
cnf(l2,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM326+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 11:36:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------