%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 12:25:57 EDT 2022
% Result : Theorem 0.54s 0.71s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 16 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 9 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 22 ( 3 sgn 11 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))) ).
fof(rdnn5,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))) ).
fof(sum_entry_point_posx_negx,axiom,
! [POS_X,NEG_X,RDN_X] :
( ( rdn_translate(POS_X,rdn_pos(RDN_X))
& rdn_translate(NEG_X,rdn_neg(RDN_X)) )
=> sum(POS_X,NEG_X,n0) ) ).
fof(sum_what_nn5_n0,conjecture,
? [X] : sum(X,nn5,n0) ).
fof(subgoal_0,plain,
? [X] : sum(X,nn5,n0),
inference(strip,[],[sum_what_nn5_n0]) ).
fof(negate_0_0,plain,
~ ? [X] : sum(X,nn5,n0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(canonicalize,[],[rdn5]) ).
fof(normalize_0_1,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(canonicalize,[],[rdnn5]) ).
fof(normalize_0_2,plain,
! [NEG_X,POS_X,RDN_X] :
( ~ rdn_translate(NEG_X,rdn_neg(RDN_X))
| ~ rdn_translate(POS_X,rdn_pos(RDN_X))
| sum(POS_X,NEG_X,n0) ),
inference(canonicalize,[],[sum_entry_point_posx_negx]) ).
fof(normalize_0_3,plain,
! [NEG_X,POS_X,RDN_X] :
( ~ rdn_translate(NEG_X,rdn_neg(RDN_X))
| ~ rdn_translate(POS_X,rdn_pos(RDN_X))
| sum(POS_X,NEG_X,n0) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] : ~ sum(X,nn5,n0),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
! [X] : ~ sum(X,nn5,n0),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
( ~ rdn_translate(NEG_X,rdn_neg(RDN_X))
| ~ rdn_translate(POS_X,rdn_pos(RDN_X))
| sum(POS_X,NEG_X,n0) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ rdn_translate(X_407,rdn_pos(rdnn(n5)))
| ~ rdn_translate(nn5,rdn_neg(rdnn(n5)))
| sum(X_407,nn5,n0) ),
inference(subst,[],[refute_0_2:[bind(NEG_X,$fot(nn5)),bind(POS_X,$fot(X_407)),bind(RDN_X,$fot(rdnn(n5)))]]) ).
cnf(refute_0_4,plain,
( ~ rdn_translate(X_407,rdn_pos(rdnn(n5)))
| sum(X_407,nn5,n0) ),
inference(resolve,[$cnf( rdn_translate(nn5,rdn_neg(rdnn(n5))) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
~ sum(X,nn5,n0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_6,plain,
~ sum(X_407,nn5,n0),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_407))]]) ).
cnf(refute_0_7,plain,
~ rdn_translate(X_407,rdn_pos(rdnn(n5))),
inference(resolve,[$cnf( sum(X_407,nn5,n0) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
~ rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(subst,[],[refute_0_7:[bind(X_407,$fot(n5))]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( rdn_translate(n5,rdn_pos(rdnn(n5))) )],[refute_0_0,refute_0_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n023.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 : Wed Jul 6 09:58:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.54/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71
% 0.54/0.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.54/0.71
%------------------------------------------------------------------------------