TSTP Solution File: MGT049+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 22:19:52 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 99 ( 62 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 42 ~; 36 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 28 sgn 40 !; 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_11,axiom,
! [X,T0,T] :
( organization(X)
=> external_ties(X,T) = external_ties(X,T0) ) ).
fof(lemma_6,conjecture,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> position(X,T) = position(X,T0) ) ).
fof(subgoal_0,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> position(X,T) = position(X,T0) ),
inference(strip,[],[lemma_6]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> position(X,T) = position(X,T0) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T,T0,X] :
( position(X,T) != position(X,T0)
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( 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_0]) ).
fof(normalize_0_2,plain,
position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,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_4,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_3]) ).
fof(normalize_0_5,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_4]) ).
fof(normalize_0_6,plain,
! [T,T0,X] :
( external_ties(X,T) != external_ties(X,T0)
| ~ organization(X)
| position(X,T) = position(X,T0) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ organization(X)
| ! [T,T0] : external_ties(X,T) = external_ties(X,T0) ),
inference(canonicalize,[],[assumption_11]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ organization(X)
| ! [T,T0] : external_ties(X,T) = external_ties(X,T0) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [T,T0,X] :
( ~ organization(X)
| external_ties(X,T) = external_ties(X,T0) ),
inference(clausify,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( external_ties(X,T) != external_ties(X,T0)
| ~ organization(X)
| position(X,T) = position(X,T0) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( external_ties(skolemFOFtoCNF_X,X_39) != external_ties(skolemFOFtoCNF_X,X_40)
| ~ organization(skolemFOFtoCNF_X)
| position(skolemFOFtoCNF_X,X_39) = position(skolemFOFtoCNF_X,X_40) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(X_39)),bind(T0,$fot(X_40)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ organization(X)
| external_ties(X,T) = external_ties(X,T0) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ organization(skolemFOFtoCNF_X)
| external_ties(skolemFOFtoCNF_X,X_15) = external_ties(skolemFOFtoCNF_X,X_16) ),
inference(subst,[],[refute_0_4:[bind(T,$fot(X_15)),bind(T0,$fot(X_16)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
external_ties(skolemFOFtoCNF_X,X_15) = external_ties(skolemFOFtoCNF_X,X_16),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
external_ties(skolemFOFtoCNF_X,X_15) = external_ties(skolemFOFtoCNF_X,X_39),
inference(subst,[],[refute_0_6:[bind(X_16,$fot(X_39))]]) ).
cnf(refute_0_8,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_9,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_10,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( external_ties(skolemFOFtoCNF_X,X_15) != external_ties(skolemFOFtoCNF_X,X_39)
| external_ties(skolemFOFtoCNF_X,X_39) = external_ties(skolemFOFtoCNF_X,X_15) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(external_ties(skolemFOFtoCNF_X,X_15))),bind(Y,$fot(external_ties(skolemFOFtoCNF_X,X_39)))]]) ).
cnf(refute_0_12,plain,
external_ties(skolemFOFtoCNF_X,X_39) = external_ties(skolemFOFtoCNF_X,X_15),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,X_15),external_ties(skolemFOFtoCNF_X,X_39)) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
( external_ties(skolemFOFtoCNF_X,X_15) != external_ties(skolemFOFtoCNF_X,X_40)
| external_ties(skolemFOFtoCNF_X,X_39) != external_ties(skolemFOFtoCNF_X,X_15)
| external_ties(skolemFOFtoCNF_X,X_39) = external_ties(skolemFOFtoCNF_X,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,X_39),external_ties(skolemFOFtoCNF_X,X_15)) ),[1],$fot(external_ties(skolemFOFtoCNF_X,X_40))]]) ).
cnf(refute_0_14,plain,
( external_ties(skolemFOFtoCNF_X,X_15) != external_ties(skolemFOFtoCNF_X,X_40)
| external_ties(skolemFOFtoCNF_X,X_39) = external_ties(skolemFOFtoCNF_X,X_40) ),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,X_39),external_ties(skolemFOFtoCNF_X,X_15)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( external_ties(skolemFOFtoCNF_X,X_15) != external_ties(skolemFOFtoCNF_X,X_40)
| ~ organization(skolemFOFtoCNF_X)
| position(skolemFOFtoCNF_X,X_39) = position(skolemFOFtoCNF_X,X_40) ),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,X_39),external_ties(skolemFOFtoCNF_X,X_40)) )],[refute_0_14,refute_0_2]) ).
cnf(refute_0_16,plain,
( external_ties(skolemFOFtoCNF_X,X_15) != external_ties(skolemFOFtoCNF_X,X_16)
| external_ties(skolemFOFtoCNF_X,X_16) = external_ties(skolemFOFtoCNF_X,X_15) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(external_ties(skolemFOFtoCNF_X,X_15))),bind(Y,$fot(external_ties(skolemFOFtoCNF_X,X_16)))]]) ).
cnf(refute_0_17,plain,
external_ties(skolemFOFtoCNF_X,X_16) = external_ties(skolemFOFtoCNF_X,X_15),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,X_15),external_ties(skolemFOFtoCNF_X,X_16)) )],[refute_0_6,refute_0_16]) ).
cnf(refute_0_18,plain,
external_ties(skolemFOFtoCNF_X,X_15) = external_ties(skolemFOFtoCNF_X,X_40),
inference(subst,[],[refute_0_17:[bind(X_15,$fot(X_40)),bind(X_16,$fot(X_15))]]) ).
cnf(refute_0_19,plain,
( ~ organization(skolemFOFtoCNF_X)
| position(skolemFOFtoCNF_X,X_39) = position(skolemFOFtoCNF_X,X_40) ),
inference(resolve,[$cnf( $equal(external_ties(skolemFOFtoCNF_X,X_15),external_ties(skolemFOFtoCNF_X,X_40)) )],[refute_0_18,refute_0_15]) ).
cnf(refute_0_20,plain,
position(skolemFOFtoCNF_X,X_39) = position(skolemFOFtoCNF_X,X_40),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_3,refute_0_19]) ).
cnf(refute_0_21,plain,
position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = position(skolemFOFtoCNF_X,X_43),
inference(subst,[],[refute_0_20:[bind(X_39,$fot(skolemFOFtoCNF_T)),bind(X_40,$fot(X_43))]]) ).
cnf(refute_0_22,plain,
( position(skolemFOFtoCNF_X,X_43) != position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) != position(skolemFOFtoCNF_X,X_43)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
introduced(tautology,[equality,[$cnf( $equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_43)) ),[1],$fot(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))]]) ).
cnf(refute_0_23,plain,
( position(skolemFOFtoCNF_X,X_43) != position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)
| position(skolemFOFtoCNF_X,skolemFOFtoCNF_T) = position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0) ),
inference(resolve,[$cnf( $equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,X_43)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
position(skolemFOFtoCNF_X,X_43) != position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(resolve,[$cnf( $equal(position(skolemFOFtoCNF_X,skolemFOFtoCNF_T),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_23,refute_0_0]) ).
cnf(refute_0_25,plain,
( position(skolemFOFtoCNF_X,X_39) != position(skolemFOFtoCNF_X,X_40)
| position(skolemFOFtoCNF_X,X_40) = position(skolemFOFtoCNF_X,X_39) ),
inference(subst,[],[refute_0_10:[bind(X0,$fot(position(skolemFOFtoCNF_X,X_39))),bind(Y,$fot(position(skolemFOFtoCNF_X,X_40)))]]) ).
cnf(refute_0_26,plain,
position(skolemFOFtoCNF_X,X_40) = position(skolemFOFtoCNF_X,X_39),
inference(resolve,[$cnf( $equal(position(skolemFOFtoCNF_X,X_39),position(skolemFOFtoCNF_X,X_40)) )],[refute_0_20,refute_0_25]) ).
cnf(refute_0_27,plain,
position(skolemFOFtoCNF_X,X_43) = position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0),
inference(subst,[],[refute_0_26:[bind(X_39,$fot(skolemFOFtoCNF_T0)),bind(X_40,$fot(X_43))]]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( $equal(position(skolemFOFtoCNF_X,X_43),position(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_27,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 10:47:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.36
%------------------------------------------------------------------------------