TSTP Solution File: SWV062+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : Wed Jul 20 20:29:59 EDT 2022
% Result : Theorem 1.04s 1.27s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 119 ( 6 ~; 0 |; 100 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 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 : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0003,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) ) ).
fof(subgoal_0,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> leq(n0,pv10) ),
inference(strip,[],[cl5_nebula_array_0003]) ).
fof(subgoal_1,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10) )
=> leq(n0,pv41) ),
inference(strip,[],[cl5_nebula_array_0003]) ).
fof(subgoal_2,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41) )
=> leq(n0,pv43) ),
inference(strip,[],[cl5_nebula_array_0003]) ).
fof(subgoal_3,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43) )
=> leq(pv10,minus(n135300,n1)) ),
inference(strip,[],[cl5_nebula_array_0003]) ).
fof(subgoal_4,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) )
=> leq(pv41,minus(n5,n1)) ),
inference(strip,[],[cl5_nebula_array_0003]) ).
fof(subgoal_5,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) )
=> leq(pv43,minus(n5,n1)) ),
inference(strip,[],[cl5_nebula_array_0003]) ).
fof(negate_0_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> leq(n0,pv10) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
$false,
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_0]) ).
fof(negate_1_0,plain,
~ ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10) )
=> leq(n0,pv41) ),
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,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41) )
=> leq(n0,pv43) ),
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,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43) )
=> leq(pv10,minus(n135300,n1)) ),
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,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) )
=> leq(pv41,minus(n5,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,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1))
& leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) )
=> leq(pv43,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV062+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n013.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 08:14:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.04/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.27
% 1.04/1.27 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.04/1.27
%------------------------------------------------------------------------------