TSTP Solution File: MGT045+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 : Sun Jul 17 22:19:51 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 73 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 31 ~; 26 |; 12 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 37 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_6,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) )
& ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) ) ) ) ).
fof(assumption_8,axiom,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(external_ties(X,T),external_ties(X,T0)) ) ).
fof(lemma_4,conjecture,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(position(X,T),position(X,T0)) ) ).
fof(subgoal_0,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(position(X,T),position(X,T0)) ),
inference(strip,[],[lemma_4]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(position(X,T),position(X,T0)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( external_ties(X,T) != external_ties(X,T0)
| position(X,T) = position(X,T0) )
& ! [T,T0] :
( ~ greater(external_ties(X,T),external_ties(X,T0))
| greater(position(X,T),position(X,T0)) ) ) ),
inference(canonicalize,[],[assumption_6]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( external_ties(X,T) != external_ties(X,T0)
| position(X,T) = position(X,T0) )
& ! [T,T0] :
( ~ greater(external_ties(X,T),external_ties(X,T0))
| greater(position(X,T),position(X,T0)) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [T,T0,X] :
( ( external_ties(X,T) != external_ties(X,T0)
| ~ organization(X)
| position(X,T) = position(X,T0) )
& ( ~ greater(external_ties(X,T),external_ties(X,T0))
| ~ organization(X)
| greater(position(X,T),position(X,T0)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [T,T0,X] :
( ~ greater(external_ties(X,T),external_ties(X,T0))
| ~ organization(X)
| greater(position(X,T),position(X,T0)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [T,T0,X] :
( ~ greater(position(X,T),position(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
& greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
& organization(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(external_ties(X,T),external_ties(X,T0)) ),
inference(canonicalize,[],[assumption_8]) ).
fof(normalize_0_8,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(external_ties(X,T),external_ties(X,T0)) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
~ greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ greater(external_ties(X,T),external_ties(X,T0))
| ~ organization(X)
| greater(position(X,T),position(X,T0)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_0:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(external_ties(X,T),external_ties(X,T0)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_3:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T),external_ties(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
~ greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( greater(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_9,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT045+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n017.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 : Thu Jun 9 11:12:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------