TSTP Solution File: NUM298+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM298+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 : Wed May 31 12:24:48 EDT 2023
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 41 ( 5 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 : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 28 (; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_neg(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y)) )
=> less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f284,axiom,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& Y != X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f402,conjecture,
~ less(n2,nn2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f403,negated_conjecture,
~ ~ less(n2,nn2),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f406,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f533,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f697,plain,
! [X,Y,RDN_X,RDN_Y] :
( ~ rdn_translate(X,rdn_neg(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f282]) ).
fof(f698,plain,
! [X,Y] :
( ! [RDN_X] : ~ rdn_translate(X,rdn_neg(RDN_X))
| ! [RDN_Y] : ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(miniscoping,[status(esa)],[f697]) ).
fof(f699,plain,
! [X0,X1,X2,X3] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| less(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f698]) ).
fof(f703,plain,
! [X,Y] :
( ( ~ less(X,Y)
| ( ~ less(Y,X)
& Y != X ) )
& ( less(X,Y)
| less(Y,X)
| Y = X ) ),
inference(NNF_transformation,[status(esa)],[f284]) ).
fof(f704,plain,
( ! [X,Y] :
( ~ less(X,Y)
| ( ~ less(Y,X)
& Y != X ) )
& ! [X,Y] :
( less(X,Y)
| less(Y,X)
| Y = X ) ),
inference(miniscoping,[status(esa)],[f703]) ).
fof(f705,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f704]) ).
fof(f861,plain,
less(n2,nn2),
inference(cnf_transformation,[status(esa)],[f403]) ).
fof(f864,plain,
~ less(nn2,n2),
inference(resolution,[status(thm)],[f705,f861]) ).
fof(f875,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_pos(X1))
| less(nn2,X0) ),
inference(resolution,[status(thm)],[f699,f533]) ).
fof(f876,plain,
less(nn2,n2),
inference(resolution,[status(thm)],[f875,f406]) ).
fof(f877,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f876,f864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM298+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n009.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 : Tue May 30 09:56:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.36 % Drodi V3.5.1
% 0.21/0.59 % Refutation found
% 0.21/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.59 % Elapsed time: 0.033113 seconds
% 0.21/0.59 % CPU time: 0.041792 seconds
% 0.21/0.59 % Memory used: 5.754 MB
%------------------------------------------------------------------------------