TSTP Solution File: MGT008+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT008+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 22:18:48 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 74 ( 29 unt; 0 def)
% Number of atoms : 323 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 434 ( 185 ~; 175 |; 68 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 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 : 185 ( 0 sgn 86 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp5,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ) ).
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(t1_FOL,hypothesis,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& greater(I2,I1) )
=> greater(P2,P1) ) ).
fof(t8_FOL,conjecture,
! [X,Y,C,P1,P2,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)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(P2,P1) ) ).
fof(subgoal_0,plain,
! [X,Y,C,P1,P2,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)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(P2,P1) ),
inference(strip,[],[t8_FOL]) ).
fof(negate_0_0,plain,
~ ! [X,Y,C,P1,P2,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)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& size(X,S1,T1)
& size(Y,S2,T2)
& greater(S2,S1) )
=> greater(P2,P1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [C,P1,P2,S1,S2,T1,T2,X,Y] :
( ~ greater(P2,P1)
& 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)
& size(X,S1,T1)
& size(Y,S2,T2)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1)
& 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)
& size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
& size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
& survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1)
& survival_chance(skolemFOFtoCNF_Y,skolemFOFtoCNF_P2,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,
survival_chance(skolemFOFtoCNF_Y,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [I1,I2,P1,P2,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)
| ~ survival_chance(X,P1,T1)
| ~ survival_chance(Y,P2,T2)
| greater(P2,P1) ),
inference(canonicalize,[],[t1_FOL]) ).
fof(normalize_0_9,plain,
! [I1,I2,P1,P2,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)
| ~ survival_chance(X,P1,T1)
| ~ survival_chance(Y,P2,T2)
| greater(P2,P1) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
~ greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,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_18,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_17]) ).
fof(normalize_0_19,plain,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_20,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,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
survival_chance(skolemFOFtoCNF_Y,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ survival_chance(X,P1,T1)
| ~ survival_chance(Y,P2,T2)
| greater(P2,P1) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ greater(X_222,X_221)
| ~ inertia(X_228,X_222,X_226)
| ~ inertia(skolemFOFtoCNF_X,X_221,skolemFOFtoCNF_T1)
| ~ organization(X_228,X_226)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_228,X_226,X_226)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ survival_chance(X_228,X_224,X_226)
| ~ survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1)
| greater(X_224,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_6:[bind(I1,$fot(X_221)),bind(I2,$fot(X_222)),bind(P1,$fot(skolemFOFtoCNF_P1)),bind(P2,$fot(X_224)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_226)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_228))]]) ).
cnf(refute_0_8,plain,
( ~ greater(X_222,X_221)
| ~ inertia(X_228,X_222,X_226)
| ~ inertia(skolemFOFtoCNF_X,X_221,skolemFOFtoCNF_T1)
| ~ organization(X_228,X_226)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_228,X_226,X_226)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ survival_chance(X_228,X_224,X_226)
| greater(X_224,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ greater(X_222,X_221)
| ~ inertia(X_228,X_222,X_226)
| ~ inertia(skolemFOFtoCNF_X,X_221,skolemFOFtoCNF_T1)
| ~ organization(X_228,X_226)
| ~ reorganization_free(X_228,X_226,X_226)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ survival_chance(X_228,X_224,X_226)
| greater(X_224,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
( ~ greater(X_222,X_221)
| ~ inertia(X_228,X_222,X_226)
| ~ inertia(skolemFOFtoCNF_X,X_221,skolemFOFtoCNF_T1)
| ~ organization(X_228,X_226)
| ~ reorganization_free(X_228,X_226,X_226)
| ~ survival_chance(X_228,X_224,X_226)
| greater(X_224,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( ~ greater(X_245,X_244)
| ~ inertia(skolemFOFtoCNF_X,X_244,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_245,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| ~ survival_chance(skolemFOFtoCNF_Y,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_11:[bind(X_221,$fot(X_244)),bind(X_222,$fot(X_245)),bind(X_224,$fot(skolemFOFtoCNF_P2)),bind(X_226,$fot(skolemFOFtoCNF_T2)),bind(X_228,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_13,plain,
( ~ greater(X_245,X_244)
| ~ inertia(skolemFOFtoCNF_X,X_244,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_245,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( survival_chance(skolemFOFtoCNF_Y,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_15,plain,
( ~ greater(X_245,X_244)
| ~ inertia(skolemFOFtoCNF_X,X_244,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_245,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_17,plain,
( ~ greater(X_245,X_244)
| ~ inertia(skolemFOFtoCNF_X,X_244,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_245,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
~ greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_19,plain,
( ~ greater(X_245,X_244)
| ~ inertia(skolemFOFtoCNF_X,X_244,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_245,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ greater(X_250,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_250,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_19:[bind(X_244,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_245,$fot(X_250))]]) ).
cnf(refute_0_21,plain,
( ~ greater(X_250,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,X_250,skolemFOFtoCNF_T2) ),
inference(resolve,[$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_250,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_23,plain,
class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_24,plain,
( ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_1:[bind(T,$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_15]) ).
cnf(refute_0_27,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_16]) ).
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_18]) ).
cnf(refute_0_29,plain,
( ~ class(X_305,X_297,X_303)
| ~ class(skolemFOFtoCNF_X,X_297,skolemFOFtoCNF_T1)
| ~ greater(X_301,skolemFOFtoCNF_S1)
| ~ inertia(X_305,X_299,X_303)
| ~ inertia(skolemFOFtoCNF_X,X_298,skolemFOFtoCNF_T1)
| ~ organization(X_305,X_303)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(X_305,X_301,X_303)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
| greater(X_299,X_298) ),
inference(subst,[],[refute_0_28:[bind(C,$fot(X_297)),bind(I1,$fot(X_298)),bind(I2,$fot(X_299)),bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(X_301)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_303)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_305))]]) ).
cnf(refute_0_30,plain,
( ~ class(X_305,X_297,X_303)
| ~ class(skolemFOFtoCNF_X,X_297,skolemFOFtoCNF_T1)
| ~ greater(X_301,skolemFOFtoCNF_S1)
| ~ inertia(X_305,X_299,X_303)
| ~ inertia(skolemFOFtoCNF_X,X_298,skolemFOFtoCNF_T1)
| ~ organization(X_305,X_303)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(X_305,X_301,X_303)
| greater(X_299,X_298) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ class(X_305,X_297,X_303)
| ~ class(skolemFOFtoCNF_X,X_297,skolemFOFtoCNF_T1)
| ~ greater(X_301,skolemFOFtoCNF_S1)
| ~ inertia(X_305,X_299,X_303)
| ~ inertia(skolemFOFtoCNF_X,X_298,skolemFOFtoCNF_T1)
| ~ organization(X_305,X_303)
| ~ size(X_305,X_301,X_303)
| greater(X_299,X_298) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ class(skolemFOFtoCNF_X,X_346,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_346,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_347,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_348,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| ~ size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
| greater(X_348,X_347) ),
inference(subst,[],[refute_0_31:[bind(X_297,$fot(X_346)),bind(X_298,$fot(X_347)),bind(X_299,$fot(X_348)),bind(X_301,$fot(skolemFOFtoCNF_S2)),bind(X_303,$fot(skolemFOFtoCNF_T2)),bind(X_305,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_33,plain,
( ~ class(skolemFOFtoCNF_X,X_346,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_346,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_347,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_348,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| greater(X_348,X_347) ),
inference(resolve,[$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_19]) ).
cnf(refute_0_35,plain,
( ~ class(skolemFOFtoCNF_X,X_346,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_346,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_347,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_348,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
| greater(X_348,X_347) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
( ~ class(skolemFOFtoCNF_X,X_346,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_346,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_347,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_348,skolemFOFtoCNF_T2)
| greater(X_348,X_347) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ class(skolemFOFtoCNF_X,X_352,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_352,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_Y,X_354,skolemFOFtoCNF_T2)
| greater(X_354,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_36:[bind(X_346,$fot(X_352)),bind(X_347,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_348,$fot(X_354))]]) ).
cnf(refute_0_38,plain,
( ~ class(skolemFOFtoCNF_X,X_352,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_352,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_Y,X_354,skolemFOFtoCNF_T2)
| greater(X_354,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$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_355,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_355,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_352,$fot(X_355)),bind(X_354,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_40,plain,
( ~ class(skolemFOFtoCNF_X,X_355,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,X_355,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_40:[bind(X_355,$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,[$cnf( class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2) )],[refute_0_23,refute_0_41]) ).
cnf(refute_0_43,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_44,plain,
greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)),
inference(resolve,[$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 : MGT008+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 07:17:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45
% 0.20/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.46
%------------------------------------------------------------------------------