%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM304+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 12:27:54 PM UTC 2025
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 16 unt; 0 def)
% Number of atoms : 35 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 8 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(something_not_n12,plain,
? [X] : X != n12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_not_n12) ).
fof(something_not_n12_negated,plain,
~ ? [X] : X != n12,
inference(negate_conjecture,[status(cth)],[something_not_n12]) ).
cnf(406,plain,
X0 = n12,
inference(cnf,[status(esa)],[something_not_n12_negated]) ).
cnf(l0,plain,
nn1 = n12,
inference(instantiation,[status(thm)],[406]) ).
fof(less_entry_point_neg_neg,plain,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_neg(RDN_X))
& rdn_translate(Y,rdn_neg(RDN_Y))
& rdn_positive_less(RDN_Y,RDN_X) )
=> less(X,Y) ),
file('Axioms/NUM005+1.ax',less_entry_point_neg_neg) ).
cnf(282,plain,
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X2,rdn_neg(X3))
| ~ rdn_positive_less(X3,X1)
| less(X0,X2) ),
inference(cnf,[status(esa)],[less_entry_point_neg_neg]) ).
cnf(l8,plain,
( ~ rdn_translate(n12,rdn_neg(rdnn(n2)))
| ~ rdn_translate(nn1,rdn_neg(rdnn(n1)))
| ~ rdn_positive_less(rdnn(n1),rdnn(n2))
| less(n12,nn1) ),
inference(instantiation,[status(thm)],[282]) ).
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(l9,plain,
( nn1 != n12
| ~ less(n12,nn1) ),
inference(instantiation,[status(thm)],[284]) ).
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(l14,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(instantiation,[status(thm)],[266]) ).
fof(rdnn1,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('Axioms/NUM005+0.ax',rdnn1) ).
cnf(128,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(cnf,[status(esa)],[rdnn1]) ).
cnf(l12,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(instantiation,[status(thm)],[128]) ).
cnf(l16,plain,
rdn_neg(rdnn(n2)) = n12,
inference(instantiation,[status(thm)],[406]) ).
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(l13,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(instantiation,[status(thm)],[12]) ).
cnf(l11,plain,
rdn_pos(rdn(rdnn(n2),rdnn(n1))) = n12,
inference(instantiation,[status(thm)],[406]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l8,l9,l14,l12,l16,l13,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM304+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n022.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 11:33:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 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: 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: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.37 % launching worker at depth: 10
% 0.19/0.40 % SZS status Theorem for theBenchmark
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------