TSTP Solution File: NUM293+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM293+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 12:25:46 EDT 2022
% Result : Theorem 0.60s 0.78s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 11 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 8 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn13,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) ).
fof(rdnn1,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))) ).
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(something_less_n13,conjecture,
? [X] : less(X,n13) ).
fof(subgoal_0,plain,
? [X] : less(X,n13),
inference(strip,[],[something_less_n13]) ).
fof(negate_0_0,plain,
~ ? [X] : less(X,n13),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(canonicalize,[],[rdnn1]) ).
fof(normalize_0_1,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(canonicalize,[],[rdn13]) ).
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,
! [X] : ~ less(X,n13),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
! [X] : ~ less(X,n13),
inference(specialize,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
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_786,rdn_neg(X_784))
| ~ rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))
| less(X_786,n13) ),
inference(subst,[],[refute_0_2:[bind(RDN_X,$fot(X_784)),bind(RDN_Y,$fot(rdn(rdnn(n3),rdnn(n1)))),bind(X,$fot(X_786)),bind(Y,$fot(n13))]]) ).
cnf(refute_0_4,plain,
( ~ rdn_translate(X_786,rdn_neg(X_784))
| less(X_786,n13) ),
inference(resolve,[$cnf( rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
~ less(X,n13),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_6,plain,
~ less(X_786,n13),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_786))]]) ).
cnf(refute_0_7,plain,
~ rdn_translate(X_786,rdn_neg(X_784)),
inference(resolve,[$cnf( less(X_786,n13) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
~ rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(subst,[],[refute_0_7:[bind(X_784,$fot(rdnn(n1))),bind(X_786,$fot(nn1))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( rdn_translate(nn1,rdn_neg(rdnn(n1))) )],[refute_0_0,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM293+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n003.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 : 600
% 0.13/0.34 % DateTime : Tue Jul 5 17:59:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.60/0.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78
% 0.60/0.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.60/0.79
%------------------------------------------------------------------------------