%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM304+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:38:55 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 43 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 21 ~; 14 |; 6 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 39 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_translate(X,rdn_neg(RDN_X)) )
=> less(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f284,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f402,conjecture,
? [X] : X != n12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f403,negated_conjecture,
~ ? [X] : X != n12,
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f416,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f697,plain,
! [X,Y,RDN_X,RDN_Y] :
( less(X,Y)
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_translate(X,rdn_neg(RDN_X)) ),
inference(pre_NNF_transformation,[status(thm)],[f282]) ).
fof(f698,plain,
! [X,Y] :
( less(X,Y)
| ! [RDN_Y] : ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ! [RDN_X] : ~ rdn_translate(X,rdn_neg(RDN_X)) ),
inference(miniscoping,[status(thm)],[f697]) ).
fof(f699,plain,
! [X0,X1,X2,X3] :
( less(X0,X2)
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X1)) ),
inference(cnf_transformation,[status(thm)],[f698]) ).
fof(f703,plain,
! [X,Y] :
( ( Y = X
| less(Y,X)
| less(X,Y) )
& ( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f704,plain,
( ! [X,Y] :
( Y = X
| less(Y,X)
| less(X,Y) )
& ! [X,Y] :
( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(miniscoping,[status(thm)],[f703]) ).
fof(f706,plain,
! [X0,X1] :
( X1 != X0
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f861,plain,
! [X] : X = n12,
inference(pre_NNF_transformation,[status(thm)],[f403]) ).
fof(f862,plain,
! [X0] : X0 = n12,
inference(cnf_transformation,[status(thm)],[f861]) ).
fof(f863,plain,
! [X0] : ~ less(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f706]) ).
fof(f865,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f862,f862]) ).
fof(f868,plain,
! [X0] : rdn_translate(n12,X0),
inference(paramodulation,[status(thm)],[f865,f416]) ).
fof(f880,plain,
! [X0,X1] : rdn_translate(X0,X1),
inference(paramodulation,[status(thm)],[f865,f868]) ).
fof(f904,plain,
! [X0,X1,X2] :
( less(X2,X0)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f880]) ).
fof(f905,plain,
! [X0,X1] : less(X0,X1),
inference(resolution,[status(thm)],[f904,f880]) ).
fof(f914,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f863,f905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM304+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:16:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.063485 seconds
% 0.13/0.42 % CPU time: 0.165524 seconds
% 0.13/0.42 % Total memory used: 118.164 MB
% 0.13/0.42 % Net memory used: 118.012 MB
%------------------------------------------------------------------------------