%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM293+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 : n027.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% 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 : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 3 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(something_less_n13,plain,
? [X] : less(X,n13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_n13) ).
fof(something_less_n13_negated,plain,
~ ? [X] : less(X,n13),
inference(negate_conjecture,[status(cth)],[something_less_n13]) ).
cnf(406,plain,
~ less(X0,n13),
inference(cnf,[status(esa)],[something_less_n13_negated]) ).
cnf(l0,plain,
~ less(nn57,n13),
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(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5))))
| ~ rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))
| less(nn57,n13) ),
inference(instantiation,[status(thm)],[281]) ).
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(rdnn57,plain,
rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))),
file('Axioms/NUM005+0.ax',rdnn57) ).
cnf(184,plain,
rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))),
inference(cnf,[status(esa)],[rdnn57]) ).
cnf(l2,plain,
rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))),
inference(instantiation,[status(thm)],[184]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM293+1 : TPTP v9.0.0. Released v3.1.0.
% 0.09/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Jul 21 11:32:34 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.38 % launching worker at depth: 1
% 0.14/0.38 % launching worker at depth: 2
% 0.14/0.38 % launching worker at depth: 4
% 0.14/0.38 % launching worker at depth: 3
% 0.14/0.38 % launching worker at depth: 5
% 0.14/0.38 % launching worker at depth: 6
% 0.14/0.38 % launching worker at depth: 7
% 0.14/0.38 % launching worker at depth: % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------