TSTP Solution File: MGT009+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT009+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 22:18:49 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 76 ( 29 unt; 0 def)
% Number of atoms : 353 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 491 ( 214 ~; 200 |; 68 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 201 ( 0 sgn 102 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp5,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ) ).
fof(a3_FOL,hypothesis,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2) )
=> ( greater(Rp2,Rp1)
<=> greater(I2,I1) ) ) ).
fof(a5_FOL,hypothesis,
! [X,Y,C,S1,S2,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& class(X,C,T1)
& class(Y,C,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2)
& greater(S2,S1) )
=> greater(I2,I1) ) ).
fof(t9_FOL,conjecture,
! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& class(X,C,T1)
& class(Y,C,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(Rp2,Rp1) ) ).
fof(subgoal_0,plain,
! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& class(X,C,T1)
& class(Y,C,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(Rp2,Rp1) ),
inference(strip,[],[t9_FOL]) ).
fof(negate_0_0,plain,
~ ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& class(X,C,T1)
& class(Y,C,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(Rp2,Rp1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [C,Rp1,Rp2,S1,S2,T1,T2,X,Y] :
( ~ greater(Rp2,Rp1)
& class(X,C,T1)
& class(Y,C,T2)
& greater(S2,S1)
& organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& size(X,S1,T1)
& size(Y,S2,T2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1)
& class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
& class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2)
& greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
& organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
& reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
& reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
& reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1)
& reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2)
& size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
& size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [T,X] :
( ~ organization(X,T)
| ? [I] : inertia(X,I,T) ),
inference(canonicalize,[],[mp5]) ).
fof(normalize_0_4,plain,
! [T,X] :
( ~ organization(X,T)
| ? [I] : inertia(X,I,T) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [T,X] :
( ~ organization(X,T)
| inertia(X,skolemFOFtoCNF_I(T,X),T) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ( ~ greater(I2,I1)
<=> ~ greater(Rp2,Rp1) ) ),
inference(canonicalize,[],[a3_FOL]) ).
fof(normalize_0_9,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ( ~ greater(I2,I1)
<=> ~ greater(Rp2,Rp1) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(Rp2,Rp1) )
& ( ~ greater(Rp2,Rp1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(I2,I1) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(Rp2,Rp1) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
~ greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,plain,
size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_19,plain,
! [C,I1,I2,S1,S2,T1,T2,X,Y] :
( ~ class(X,C,T1)
| ~ class(Y,C,T2)
| ~ greater(S2,S1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ size(X,S1,T1)
| ~ size(Y,S2,T2)
| greater(I2,I1) ),
inference(canonicalize,[],[a5_FOL]) ).
fof(normalize_0_20,plain,
! [C,I1,I2,S1,S2,T1,T2,X,Y] :
( ~ class(X,C,T1)
| ~ class(Y,C,T2)
| ~ greater(S2,S1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ size(X,S1,T1)
| ~ size(Y,S2,T2)
| greater(I2,I1) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_22,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ organization(X,T)
| inertia(X,skolemFOFtoCNF_I(T,X),T) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(Rp2,Rp1) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( ~ greater(X_309,X_308)
| ~ inertia(X_315,X_309,X_313)
| ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
| ~ organization(X_315,X_313)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_315,X_313,X_313)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ reproducibility(X_315,X_311,X_313)
| ~ reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1)
| greater(X_311,skolemFOFtoCNF_Rp1) ),
inference(subst,[],[refute_0_6:[bind(I1,$fot(X_308)),bind(I2,$fot(X_309)),bind(Rp1,$fot(skolemFOFtoCNF_Rp1)),bind(Rp2,$fot(X_311)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_313)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_315))]]) ).
cnf(refute_0_8,plain,
( ~ greater(X_309,X_308)
| ~ inertia(X_315,X_309,X_313)
| ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
| ~ organization(X_315,X_313)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_315,X_313,X_313)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ reproducibility(X_315,X_311,X_313)
| greater(X_311,skolemFOFtoCNF_Rp1) ),
inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ greater(X_309,X_308)
| ~ inertia(X_315,X_309,X_313)
| ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
| ~ organization(X_315,X_313)
| ~ reorganization_free(X_315,X_313,X_313)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ reproducibility(X_315,X_311,X_313)
| greater(X_311,skolemFOFtoCNF_Rp1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ greater(X_309,X_308)
| ~ inertia(X_315,X_309,X_313)
| ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
| ~ organization(X_315,X_313)
| ~ reorganization_free(X_315,X_313,X_313)
| ~ reproducibility(X_315,X_311,X_313)
| greater(X_311,skolemFOFtoCNF_Rp1) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( ~ greater(X_317,X_316)
| ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| ~ reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
inference(subst,[],[refute_0_11:[bind(X_308,$fot(X_316)),bind(X_309,$fot(X_317)),bind(X_311,$fot(skolemFOFtoCNF_Rp2)),bind(X_313,$fot(skolemFOFtoCNF_T2)),bind(X_315,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_13,plain,
( ~ greater(X_317,X_316)
| ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
( ~ greater(X_317,X_316)
| ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_17,plain,
( ~ greater(X_317,X_316)
| ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
~ greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_19,plain,
( ~ greater(X_317,X_316)
| ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ greater(X_322,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_322,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_19:[bind(X_316,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_317,$fot(X_322))]]) ).
cnf(refute_0_21,plain,
( ~ greater(X_322,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,X_322,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_3,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_21:[bind(X_322,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_23,plain,
class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_24,plain,
( ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_25,plain,
inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_24]) ).
cnf(refute_0_26,plain,
size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_27,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_28,plain,
( ~ class(X,C,T1)
| ~ class(Y,C,T2)
| ~ greater(S2,S1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ size(X,S1,T1)
| ~ size(Y,S2,T2)
| greater(I2,I1) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_29,plain,
( ~ class(X_476,X_468,X_474)
| ~ class(skolemFOFtoCNF_X,X_468,skolemFOFtoCNF_T1)
| ~ greater(X_472,skolemFOFtoCNF_S1)
| ~ inertia(X_476,X_470,X_474)
| ~ inertia(skolemFOFtoCNF_X,X_469,skolemFOFtoCNF_T1)
| ~ organization(X_476,X_474)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(X_476,X_472,X_474)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
| greater(X_470,X_469) ),
inference(subst,[],[refute_0_28:[bind(C,$fot(X_468)),bind(I1,$fot(X_469)),bind(I2,$fot(X_470)),bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(X_472)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_474)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_476))]]) ).
cnf(refute_0_30,plain,
( ~ class(X_476,X_468,X_474)
| ~ class(skolemFOFtoCNF_X,X_468,skolemFOFtoCNF_T1)
| ~ greater(X_472,skolemFOFtoCNF_S1)
| ~ inertia(X_476,X_470,X_474)
| ~ inertia(skolemFOFtoCNF_X,X_469,skolemFOFtoCNF_T1)
| ~ organization(X_476,X_474)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(X_476,X_472,X_474)
| greater(X_470,X_469) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ class(X_476,X_468,X_474)
| ~ class(skolemFOFtoCNF_X,X_468,skolemFOFtoCNF_T1)
| ~ greater(X_472,skolemFOFtoCNF_S1)
| ~ inertia(X_476,X_470,X_474)
| ~ inertia(skolemFOFtoCNF_X,X_469,skolemFOFtoCNF_T1)
| ~ organization(X_476,X_474)
| ~ size(X_476,X_472,X_474)
| greater(X_470,X_469) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| ~ size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
| greater(X_519,X_518) ),
inference(subst,[],[refute_0_31:[bind(X_468,$fot(X_517)),bind(X_469,$fot(X_518)),bind(X_470,$fot(X_519)),bind(X_472,$fot(skolemFOFtoCNF_S2)),bind(X_474,$fot(skolemFOFtoCNF_T2)),bind(X_476,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_33,plain,
( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| greater(X_519,X_518) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) )],[refute_0_26,refute_0_32]) ).
cnf(refute_0_34,plain,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_35,plain,
( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| greater(X_519,X_518) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
| greater(X_519,X_518) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ class(skolemFOFtoCNF_X,X_523,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_523,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_525,skolemFOFtoCNF_T2)
| greater(X_525,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_36:[bind(X_517,$fot(X_523)),bind(X_518,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_519,$fot(X_525))]]) ).
cnf(refute_0_38,plain,
( ~ class(skolemFOFtoCNF_X,X_523,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_523,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_Y,X_525,skolemFOFtoCNF_T2)
| greater(X_525,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_3,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ class(skolemFOFtoCNF_X,X_526,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_526,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_38:[bind(X_523,$fot(X_526)),bind(X_525,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_40,plain,
( ~ class(skolemFOFtoCNF_X,X_526,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_526,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_40:[bind(X_526,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_42,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2) )],[refute_0_23,refute_0_41]) ).
cnf(refute_0_43,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_44,plain,
greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1) )],[refute_0_43,refute_0_42]) ).
cnf(refute_0_45,plain,
~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) )],[refute_0_44,refute_0_22]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT009+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 09:34:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.49
%------------------------------------------------------------------------------