%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM296+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 : 600s
% DateTime : Mon Jul 18 12:25:47 EDT 2022
% Result : Theorem 0.68s 0.90s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 12 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 4 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))) ).
fof(less_entry_point_neg_pos,axiom,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_neg(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y)) )
=> less(X,Y) ) ).
fof(nn2_less_n2,conjecture,
less(nn2,n2) ).
fof(subgoal_0,plain,
less(nn2,n2),
inference(strip,[],[nn2_less_n2]) ).
fof(negate_0_0,plain,
~ less(nn2,n2),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(canonicalize,[],[rdn2]) ).
fof(normalize_0_1,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(canonicalize,[],[rdnn2]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( less(X,Y)
| ! [RDN_X] : ~ rdn_translate(X,rdn_neg(RDN_X))
| ! [RDN_Y] : ~ rdn_translate(Y,rdn_pos(RDN_Y)) ),
inference(canonicalize,[],[less_entry_point_neg_pos]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( less(X,Y)
| ! [RDN_X] : ~ rdn_translate(X,rdn_neg(RDN_X))
| ! [RDN_Y] : ~ rdn_translate(Y,rdn_pos(RDN_Y)) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [RDN_X,RDN_Y,X,Y] :
( ~ rdn_translate(X,rdn_neg(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
~ less(nn2,n2),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
( ~ rdn_translate(X,rdn_neg(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| less(X,Y) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ rdn_translate(X_146,rdn_pos(X_144))
| ~ rdn_translate(nn2,rdn_neg(rdnn(n2)))
| less(nn2,X_146) ),
inference(subst,[],[refute_0_2:[bind(RDN_X,$fot(rdnn(n2))),bind(RDN_Y,$fot(X_144)),bind(X,$fot(nn2)),bind(Y,$fot(X_146))]]) ).
cnf(refute_0_4,plain,
( ~ rdn_translate(X_146,rdn_pos(X_144))
| less(nn2,X_146) ),
inference(resolve,[$cnf( rdn_translate(nn2,rdn_neg(rdnn(n2))) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ rdn_translate(n2,rdn_pos(rdnn(n2)))
| less(nn2,n2) ),
inference(subst,[],[refute_0_4:[bind(X_144,$fot(rdnn(n2))),bind(X_146,$fot(n2))]]) ).
cnf(refute_0_6,plain,
less(nn2,n2),
inference(resolve,[$cnf( rdn_translate(n2,rdn_pos(rdnn(n2))) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
~ less(nn2,n2),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( less(nn2,n2) )],[refute_0_6,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM296+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n013.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 : 600
% 0.12/0.33 % DateTime : Tue Jul 5 09:17:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.68/0.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.90
% 0.68/0.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.68/0.90
%------------------------------------------------------------------------------