TSTP Solution File: MGT044+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 22:19:50 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 162 ( 39 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 184 ( 79 ~; 70 |; 23 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 14 sgn 63 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ) ).
fof(assumption_5,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& greater(internal_friction(X,T),internal_friction(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& internal_friction(X,T) = internal_friction(X,T0) )
=> capability(X,T) = capability(X,T0) ) ) ) ).
fof(assumption_7,axiom,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) ).
fof(assumption_9,axiom,
! [X,T0,T] :
( organization(X)
=> internal_friction(X,T) = internal_friction(X,T0) ) ).
fof(lemma_3,conjecture,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ) ).
fof(subgoal_0,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ),
inference(strip,[],[lemma_3]) ).
fof(negate_0_0,plain,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T,T0,X] :
( ~ greater(capability(X,T),capability(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(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,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
inference(canonicalize,[],[assumption_7]) ).
fof(normalize_0_4,plain,
! [T,T0,X] :
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
organization(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(canonicalize,[],[definition_smaller_or_equal]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ smaller_or_equal(X,Y)
<=> ( X != Y
& ~ smaller(X,Y) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ( X != Y
| smaller_or_equal(X,Y) )
& ( ~ smaller(X,Y)
| smaller_or_equal(X,Y) )
& ( ~ smaller_or_equal(X,Y)
| X = Y
| smaller(X,Y) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( X != Y
| smaller_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| capability(X,T) = capability(X,T0) )
& ! [T,T0] :
( ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ! [T,T0] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ) ) ),
inference(canonicalize,[],[assumption_5]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ organization(X)
| ( ! [T,T0] :
( internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| capability(X,T) = capability(X,T0) )
& ! [T,T0] :
( ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ! [T,T0] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [T,T0,X] :
( ( internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| ~ organization(X)
| capability(X,T) = capability(X,T0) )
& ( ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [T,T0,X] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ organization(X)
| ! [T,T0] : internal_friction(X,T) = internal_friction(X,T0) ),
inference(canonicalize,[],[assumption_9]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ organization(X)
| ! [T,T0] : internal_friction(X,T) = internal_friction(X,T0) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [T,T0,X] :
( ~ organization(X)
| internal_friction(X,T) = internal_friction(X,T0) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ greater(age(X,T),age(X,T0))
| ~ organization(X)
| greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| ~ organization(skolemFOFtoCNF_X)
| greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T0)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
( ~ organization(skolemFOFtoCNF_X)
| greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(resolve,[$cnf( greater(age(skolemFOFtoCNF_X,skolemFOFtoCNF_T),age(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
organization(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( X != Y
| smaller_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( Y != Y
| smaller_or_equal(Y,Y) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(Y))]]) ).
cnf(refute_0_8,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_9,plain,
smaller_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_139),internal_friction(skolemFOFtoCNF_X,X_139)),
inference(subst,[],[refute_0_9:[bind(Y,$fot(internal_friction(skolemFOFtoCNF_X,X_139)))]]) ).
cnf(refute_0_11,plain,
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ organization(X)
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_12,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_134),stock_of_knowledge(skolemFOFtoCNF_X,X_135))
| ~ organization(skolemFOFtoCNF_X)
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_135))
| greater(capability(skolemFOFtoCNF_X,X_134),capability(skolemFOFtoCNF_X,X_135)) ),
inference(subst,[],[refute_0_11:[bind(T,$fot(X_134)),bind(T0,$fot(X_135)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_13,plain,
( ~ organization(X)
| internal_friction(X,T) = internal_friction(X,T0) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ organization(skolemFOFtoCNF_X)
| internal_friction(skolemFOFtoCNF_X,X_15) = internal_friction(skolemFOFtoCNF_X,X_16) ),
inference(subst,[],[refute_0_13:[bind(T,$fot(X_15)),bind(T0,$fot(X_16)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_15,plain,
internal_friction(skolemFOFtoCNF_X,X_15) = internal_friction(skolemFOFtoCNF_X,X_16),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_4,refute_0_14]) ).
cnf(refute_0_16,plain,
internal_friction(skolemFOFtoCNF_X,X_15) = internal_friction(skolemFOFtoCNF_X,X_135),
inference(subst,[],[refute_0_15:[bind(X_16,$fot(X_135))]]) ).
cnf(refute_0_17,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_18,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_19,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( internal_friction(skolemFOFtoCNF_X,X_15) != internal_friction(skolemFOFtoCNF_X,X_135)
| internal_friction(skolemFOFtoCNF_X,X_135) = internal_friction(skolemFOFtoCNF_X,X_15) ),
inference(subst,[],[refute_0_19:[bind(X0,$fot(internal_friction(skolemFOFtoCNF_X,X_15))),bind(Y0,$fot(internal_friction(skolemFOFtoCNF_X,X_135)))]]) ).
cnf(refute_0_21,plain,
internal_friction(skolemFOFtoCNF_X,X_135) = internal_friction(skolemFOFtoCNF_X,X_15),
inference(resolve,[$cnf( $equal(internal_friction(skolemFOFtoCNF_X,X_15),internal_friction(skolemFOFtoCNF_X,X_135)) )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
( internal_friction(skolemFOFtoCNF_X,X_135) != internal_friction(skolemFOFtoCNF_X,X_15)
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_15))
| smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_135)) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_135)) ),[1],$fot(internal_friction(skolemFOFtoCNF_X,X_15))]]) ).
cnf(refute_0_23,plain,
( ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_15))
| smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_135)) ),
inference(resolve,[$cnf( $equal(internal_friction(skolemFOFtoCNF_X,X_135),internal_friction(skolemFOFtoCNF_X,X_15)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_134),stock_of_knowledge(skolemFOFtoCNF_X,X_135))
| ~ organization(skolemFOFtoCNF_X)
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_15))
| greater(capability(skolemFOFtoCNF_X,X_134),capability(skolemFOFtoCNF_X,X_135)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_135)) )],[refute_0_23,refute_0_12]) ).
cnf(refute_0_25,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_134),stock_of_knowledge(skolemFOFtoCNF_X,X_135))
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_134),internal_friction(skolemFOFtoCNF_X,X_15))
| greater(capability(skolemFOFtoCNF_X,X_134),capability(skolemFOFtoCNF_X,X_135)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X) )],[refute_0_4,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_139),stock_of_knowledge(skolemFOFtoCNF_X,X_138))
| ~ smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_139),internal_friction(skolemFOFtoCNF_X,X_139))
| greater(capability(skolemFOFtoCNF_X,X_139),capability(skolemFOFtoCNF_X,X_138)) ),
inference(subst,[],[refute_0_25:[bind(X_134,$fot(X_139)),bind(X_135,$fot(X_138)),bind(X_15,$fot(X_139))]]) ).
cnf(refute_0_27,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,X_139),stock_of_knowledge(skolemFOFtoCNF_X,X_138))
| greater(capability(skolemFOFtoCNF_X,X_139),capability(skolemFOFtoCNF_X,X_138)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(skolemFOFtoCNF_X,X_139),internal_friction(skolemFOFtoCNF_X,X_139)) )],[refute_0_10,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0))
| greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) ),
inference(subst,[],[refute_0_27:[bind(X_138,$fot(skolemFOFtoCNF_T0)),bind(X_139,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_29,plain,
greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(resolve,[$cnf( greater(stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T),stock_of_knowledge(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_5,refute_0_28]) ).
cnf(refute_0_30,plain,
~ greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( greater(capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T),capability(skolemFOFtoCNF_X,skolemFOFtoCNF_T0)) )],[refute_0_29,refute_0_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT044+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 : Thu Jun 9 11:26:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47
% 0.20/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.47
%------------------------------------------------------------------------------