TSTP Solution File: MGT041+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 22:19:48 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 58 ~; 46 |; 20 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 1 sgn 24 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_not_high_and_low,axiom,
! [X,T] :
~ ( number_of_routines(X,T,low)
& number_of_routines(X,T,high) ) ).
fof(a14,hypothesis,
! [X,T] :
( ( organisation_at_time(X,T)
& efficient_producer(X)
& founding_time(X,T) )
=> has_elaborated_routines(X,T) ) ).
fof(a15,hypothesis,
! [X,T] :
( ( organisation_at_time(X,T)
& first_mover(X)
& founding_time(X,T) )
=> number_of_routines(X,T,low) ) ).
fof(a16,hypothesis,
? [X,T] :
( organisation_at_time(X,T)
& founding_time(X,T)
& number_of_routines(X,T,high)
& ~ has_elaborated_routines(X,T) ) ).
fof(prove_t10,conjecture,
? [X,T] :
( organisation_at_time(X,T)
& ~ first_mover(X)
& ~ efficient_producer(X) ) ).
fof(subgoal_0,plain,
? [X,T] :
( organisation_at_time(X,T)
& ~ first_mover(X)
& ~ efficient_producer(X) ),
inference(strip,[],[prove_t10]) ).
fof(negate_0_0,plain,
~ ? [X,T] :
( organisation_at_time(X,T)
& ~ first_mover(X)
& ~ efficient_producer(X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [T,X] :
( ~ number_of_routines(X,T,high)
| ~ number_of_routines(X,T,low) ),
inference(canonicalize,[],[mp_not_high_and_low]) ).
fof(normalize_0_1,plain,
! [T,X] :
( ~ number_of_routines(X,T,high)
| ~ number_of_routines(X,T,low) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [T,X] :
( ~ has_elaborated_routines(X,T)
& founding_time(X,T)
& number_of_routines(X,T,high)
& organisation_at_time(X,T) ),
inference(canonicalize,[],[a16]) ).
fof(normalize_0_3,plain,
( ~ has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
& founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
& number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,high)
& organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( efficient_producer(X)
| first_mover(X)
| ! [T] : ~ organisation_at_time(X,T) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
! [X] :
( efficient_producer(X)
| first_mover(X)
| ! [T] : ~ organisation_at_time(X,T) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [T,X] :
( ~ organisation_at_time(X,T)
| efficient_producer(X)
| first_mover(X) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [T,X] :
( ~ first_mover(X)
| ~ founding_time(X,T)
| ~ organisation_at_time(X,T)
| number_of_routines(X,T,low) ),
inference(canonicalize,[],[a15]) ).
fof(normalize_0_9,plain,
! [T,X] :
( ~ first_mover(X)
| ~ founding_time(X,T)
| ~ organisation_at_time(X,T)
| number_of_routines(X,T,low) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_11,plain,
! [T,X] :
( ~ efficient_producer(X)
| ~ founding_time(X,T)
| ~ organisation_at_time(X,T)
| has_elaborated_routines(X,T) ),
inference(canonicalize,[],[a14]) ).
fof(normalize_0_12,plain,
! [T,X] :
( ~ efficient_producer(X)
| ~ founding_time(X,T)
| ~ organisation_at_time(X,T)
| has_elaborated_routines(X,T) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
~ has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_14,plain,
number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,high),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
( ~ number_of_routines(X,T,high)
| ~ number_of_routines(X,T,low) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,high)
| ~ number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low) ),
inference(subst,[],[refute_0_0:[bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ organisation_at_time(X,T)
| efficient_producer(X)
| first_mover(X) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| efficient_producer(skolemFOFtoCNF_X)
| first_mover(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_3:[bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
( efficient_producer(skolemFOFtoCNF_X)
| first_mover(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ first_mover(X)
| ~ founding_time(X,T)
| ~ organisation_at_time(X,T)
| number_of_routines(X,T,low) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ first_mover(skolemFOFtoCNF_X)
| ~ founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| ~ organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low) ),
inference(subst,[],[refute_0_6:[bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_8,plain,
( ~ first_mover(skolemFOFtoCNF_X)
| ~ founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low) ),
inference(resolve,[$cnf( organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_2,refute_0_7]) ).
cnf(refute_0_9,plain,
founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ first_mover(skolemFOFtoCNF_X)
| number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low) ),
inference(resolve,[$cnf( founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
( efficient_producer(skolemFOFtoCNF_X)
| number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low) ),
inference(resolve,[$cnf( first_mover(skolemFOFtoCNF_X) )],[refute_0_5,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ efficient_producer(X)
| ~ founding_time(X,T)
| ~ organisation_at_time(X,T)
| has_elaborated_routines(X,T) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_13,plain,
( ~ efficient_producer(skolemFOFtoCNF_X)
| ~ founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| ~ organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_12:[bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_14,plain,
( ~ efficient_producer(skolemFOFtoCNF_X)
| ~ founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T)
| has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( organisation_at_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_2,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ efficient_producer(skolemFOFtoCNF_X)
| has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( founding_time(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
~ has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_17,plain,
~ efficient_producer(skolemFOFtoCNF_X),
inference(resolve,[$cnf( has_elaborated_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low),
inference(resolve,[$cnf( efficient_producer(skolemFOFtoCNF_X) )],[refute_0_11,refute_0_17]) ).
cnf(refute_0_19,plain,
~ number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,high),
inference(resolve,[$cnf( number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,low) )],[refute_0_18,refute_0_1]) ).
cnf(refute_0_20,plain,
number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,high),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( number_of_routines(skolemFOFtoCNF_X,skolemFOFtoCNF_T,high) )],[refute_0_20,refute_0_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n028.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 08:06:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------