TSTP Solution File: SWV064+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV064+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 : Wed Jul 20 20:30:00 EDT 2022
% Result : Theorem 1.21s 1.36s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 36 ( 20 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 154 ( 10 ~; 0 |; 129 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity_leq,axiom,
! [X] : leq(X,X) ).
fof(cl5_nebula_array_0005,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) ) ) ).
fof(subgoal_0,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) )
=> leq(n0,n0) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(subgoal_1,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0) )
=> leq(n0,pv10) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(subgoal_2,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10) )
=> leq(n0,pv53) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(subgoal_3,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53) )
=> leq(n0,pv54) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(subgoal_4,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54) )
=> leq(pv10,minus(n135300,n1)) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(subgoal_5,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1)) )
=> leq(pv53,minus(n5,n1)) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(subgoal_6,plain,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> leq(pv54,minus(n5,n1)) ),
inference(strip,[],[cl5_nebula_array_0005]) ).
fof(negate_0_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) )
=> leq(n0,n0) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
~ leq(n0,n0),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] : leq(X,X),
inference(canonicalize,[],[reflexivity_leq]) ).
fof(normalize_0_3,plain,
! [X] : leq(X,X),
inference(specialize,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
~ leq(n0,n0),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
leq(X,X),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
leq(n0,n0),
inference(subst,[],[refute_0_1:[bind(X,$fot(n0))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( leq(n0,n0) )],[refute_0_2,refute_0_0]) ).
fof(negate_1_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0) )
=> leq(n0,pv10) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
$false,
inference(canonicalize,[],[negate_1_0]) ).
cnf(refute_1_0,plain,
$false,
inference(canonicalize,[],[normalize_1_0]) ).
fof(negate_2_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10) )
=> leq(n0,pv53) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
$false,
inference(canonicalize,[],[negate_2_0]) ).
cnf(refute_2_0,plain,
$false,
inference(canonicalize,[],[normalize_2_0]) ).
fof(negate_3_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53) )
=> leq(n0,pv54) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
$false,
inference(canonicalize,[],[negate_3_0]) ).
cnf(refute_3_0,plain,
$false,
inference(canonicalize,[],[normalize_3_0]) ).
fof(negate_4_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54) )
=> leq(pv10,minus(n135300,n1)) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
$false,
inference(canonicalize,[],[negate_4_0]) ).
cnf(refute_4_0,plain,
$false,
inference(canonicalize,[],[normalize_4_0]) ).
fof(negate_5_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1)) )
=> leq(pv53,minus(n5,n1)) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
$false,
inference(canonicalize,[],[negate_5_0]) ).
cnf(refute_5_0,plain,
$false,
inference(canonicalize,[],[normalize_5_0]) ).
fof(negate_6_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1)) )
=> leq(pv54,minus(n5,n1)) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
$false,
inference(canonicalize,[],[negate_6_0]) ).
cnf(refute_6_0,plain,
$false,
inference(canonicalize,[],[normalize_6_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV064+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 21:34:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.21/1.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.36
% 1.21/1.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.21/1.36
%------------------------------------------------------------------------------