TSTP Solution File: MGT018+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT018+1 : 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 22:18:52 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 4
% Syntax : Number of formulae : 81 ( 31 unt; 0 def)
% Number of atoms : 397 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 551 ( 235 ~; 234 |; 76 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 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 : 209 ( 0 sgn 89 !; 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(a14_FOL,hypothesis,
! [X,Y,Rt,C,I1,I2,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& ~ organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Rt,Ta)
& reorganization_type(Y,Rt,Ta)
& inertia(X,I1,Ta)
& inertia(Y,I2,Ta)
& greater(I2,I1) )
=> greater(Tb,Tc) ) ).
fof(t18_FOL,conjecture,
! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& ~ organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Rt,Ta)
& reorganization_type(Y,Rt,Ta)
& size(X,S1,Ta)
& size(Y,S2,Ta)
& greater(S2,S1) )
=> greater(Tb,Tc) ) ).
fof(subgoal_0,plain,
! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& ~ organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Rt,Ta)
& reorganization_type(Y,Rt,Ta)
& size(X,S1,Ta)
& size(Y,S2,Ta)
& greater(S2,S1) )
=> greater(Tb,Tc) ),
inference(strip,[],[t18_FOL]) ).
fof(negate_0_0,plain,
~ ! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
( ( organization(X,Ta)
& organization(Y,Ta)
& ~ organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Rt,Ta)
& reorganization_type(Y,Rt,Ta)
& size(X,S1,Ta)
& size(Y,S2,Ta)
& greater(S2,S1) )
=> greater(Tb,Tc) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [C,Rt,S1,S2,Ta,Tb,Tc,X,Y] :
( ~ greater(Tb,Tc)
& ~ organization(Y,Tc)
& class(X,C,Ta)
& class(Y,C,Ta)
& greater(S2,S1)
& organization(X,Ta)
& organization(Y,Ta)
& reorganization(X,Ta,Tb)
& reorganization(Y,Ta,Tc)
& reorganization_type(X,Rt,Ta)
& reorganization_type(Y,Rt,Ta)
& size(X,S1,Ta)
& size(Y,S2,Ta) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(skolemFOFtoCNF_Tb,skolemFOFtoCNF_Tc)
& ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc)
& class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
& class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
& greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
& organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
& reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb)
& reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tc)
& reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
& reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
& size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta)
& size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_Ta) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tc),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
! [T,X] :
( ~ organization(X,T)
| ? [I] : inertia(X,I,T) ),
inference(canonicalize,[],[mp5]) ).
fof(normalize_0_7,plain,
! [T,X] :
( ~ organization(X,T)
| ? [I] : inertia(X,I,T) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [T,X] :
( ~ organization(X,T)
| inertia(X,skolemFOFtoCNF_I(T,X),T) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,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_13,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_12]) ).
fof(normalize_0_14,plain,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,plain,
! [C,I1,I2,Rt,Ta,Tb,Tc,X,Y] :
( ~ class(X,C,Ta)
| ~ class(Y,C,Ta)
| ~ greater(I2,I1)
| ~ inertia(X,I1,Ta)
| ~ inertia(Y,I2,Ta)
| ~ organization(X,Ta)
| ~ organization(Y,Ta)
| ~ reorganization(X,Ta,Tb)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization_type(X,Rt,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| greater(Tb,Tc)
| organization(Y,Tc) ),
inference(canonicalize,[],[a14_FOL]) ).
fof(normalize_0_18,plain,
! [C,I1,I2,Rt,Ta,Tb,Tc,X,Y] :
( ~ class(X,C,Ta)
| ~ class(Y,C,Ta)
| ~ greater(I2,I1)
| ~ inertia(X,I1,Ta)
| ~ inertia(Y,I2,Ta)
| ~ organization(X,Ta)
| ~ organization(Y,Ta)
| ~ reorganization(X,Ta,Tb)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization_type(X,Rt,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| greater(Tb,Tc)
| organization(Y,Tc) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_20,plain,
~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_21,plain,
~ greater(skolemFOFtoCNF_Tb,skolemFOFtoCNF_Tc),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tc),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
( ~ organization(X,T)
| inertia(X,skolemFOFtoCNF_I(T,X),T) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta) ),
inference(subst,[],[refute_0_4:[bind(T,$fot(skolemFOFtoCNF_Ta)),bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_6,plain,
inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta) ),
inference(subst,[],[refute_0_4:[bind(T,$fot(skolemFOFtoCNF_Ta)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_12,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_13]) ).
cnf(refute_0_13,plain,
( ~ class(X_290,X_282,X_288)
| ~ class(skolemFOFtoCNF_X,X_282,skolemFOFtoCNF_Ta)
| ~ greater(X_286,skolemFOFtoCNF_S1)
| ~ inertia(X_290,X_284,X_288)
| ~ inertia(skolemFOFtoCNF_X,X_283,skolemFOFtoCNF_Ta)
| ~ organization(X_290,X_288)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ size(X_290,X_286,X_288)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta)
| greater(X_284,X_283) ),
inference(subst,[],[refute_0_12:[bind(C,$fot(X_282)),bind(I1,$fot(X_283)),bind(I2,$fot(X_284)),bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(X_286)),bind(T1,$fot(skolemFOFtoCNF_Ta)),bind(T2,$fot(X_288)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_290))]]) ).
cnf(refute_0_14,plain,
( ~ class(X_290,X_282,X_288)
| ~ class(skolemFOFtoCNF_X,X_282,skolemFOFtoCNF_Ta)
| ~ greater(X_286,skolemFOFtoCNF_S1)
| ~ inertia(X_290,X_284,X_288)
| ~ inertia(skolemFOFtoCNF_X,X_283,skolemFOFtoCNF_Ta)
| ~ organization(X_290,X_288)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ size(X_290,X_286,X_288)
| greater(X_284,X_283) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ class(X_290,X_282,X_288)
| ~ class(skolemFOFtoCNF_X,X_282,skolemFOFtoCNF_Ta)
| ~ greater(X_286,skolemFOFtoCNF_S1)
| ~ inertia(X_290,X_284,X_288)
| ~ inertia(skolemFOFtoCNF_X,X_283,skolemFOFtoCNF_Ta)
| ~ organization(X_290,X_288)
| ~ size(X_290,X_286,X_288)
| greater(X_284,X_283) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta) )],[refute_0_7,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ class(skolemFOFtoCNF_X,X_331,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_331,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_332,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_333,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| ~ size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_Ta)
| greater(X_333,X_332) ),
inference(subst,[],[refute_0_15:[bind(X_282,$fot(X_331)),bind(X_283,$fot(X_332)),bind(X_284,$fot(X_333)),bind(X_286,$fot(skolemFOFtoCNF_S2)),bind(X_288,$fot(skolemFOFtoCNF_Ta)),bind(X_290,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_17,plain,
( ~ class(skolemFOFtoCNF_X,X_331,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_331,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_332,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_333,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| greater(X_333,X_332) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_Ta) )],[refute_0_10,refute_0_16]) ).
cnf(refute_0_18,plain,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_19,plain,
( ~ class(skolemFOFtoCNF_X,X_331,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_331,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_332,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_333,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| greater(X_333,X_332) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ class(skolemFOFtoCNF_X,X_331,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_331,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_332,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_333,skolemFOFtoCNF_Ta)
| greater(X_333,X_332) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta) )],[refute_0_3,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ class(skolemFOFtoCNF_X,X_337,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_337,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_339,skolemFOFtoCNF_Ta)
| greater(X_339,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_20:[bind(X_331,$fot(X_337)),bind(X_332,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))),bind(X_333,$fot(X_339))]]) ).
cnf(refute_0_22,plain,
( ~ class(skolemFOFtoCNF_X,X_337,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_337,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_339,skolemFOFtoCNF_Ta)
| greater(X_339,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta) )],[refute_0_9,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ class(skolemFOFtoCNF_X,X_340,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_340,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_22:[bind(X_337,$fot(X_340)),bind(X_339,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_24,plain,
( ~ class(skolemFOFtoCNF_X,X_340,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_340,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta) )],[refute_0_6,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_24:[bind(X_340,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_26,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta) )],[refute_0_0,refute_0_25]) ).
cnf(refute_0_27,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_28,plain,
greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta) )],[refute_0_27,refute_0_26]) ).
cnf(refute_0_29,plain,
reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_30,plain,
( ~ class(X,C,Ta)
| ~ class(Y,C,Ta)
| ~ greater(I2,I1)
| ~ inertia(X,I1,Ta)
| ~ inertia(Y,I2,Ta)
| ~ organization(X,Ta)
| ~ organization(Y,Ta)
| ~ reorganization(X,Ta,Tb)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization_type(X,Rt,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| greater(Tb,Tc)
| organization(Y,Tc) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_31,plain,
( ~ class(X_456,X_449,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_449,skolemFOFtoCNF_Ta)
| ~ greater(X_451,X_450)
| ~ inertia(X_456,X_450,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_451,skolemFOFtoCNF_Ta)
| ~ organization(X_456,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| ~ reorganization(X_456,skolemFOFtoCNF_Ta,X_454)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_455)
| ~ reorganization_type(X_456,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| ~ reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_454,X_455)
| organization(skolemFOFtoCNF_Y,X_455) ),
inference(subst,[],[refute_0_30:[bind(C,$fot(X_449)),bind(I1,$fot(X_450)),bind(I2,$fot(X_451)),bind(Rt,$fot(skolemFOFtoCNF_Rt)),bind(Ta,$fot(skolemFOFtoCNF_Ta)),bind(Tb,$fot(X_454)),bind(Tc,$fot(X_455)),bind(X,$fot(X_456)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_32,plain,
( ~ class(X_456,X_449,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_449,skolemFOFtoCNF_Ta)
| ~ greater(X_451,X_450)
| ~ inertia(X_456,X_450,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_451,skolemFOFtoCNF_Ta)
| ~ organization(X_456,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| ~ reorganization(X_456,skolemFOFtoCNF_Ta,X_454)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_455)
| ~ reorganization_type(X_456,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_454,X_455)
| organization(skolemFOFtoCNF_Y,X_455) ),
inference(resolve,[$cnf( reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ class(X_456,X_449,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_449,skolemFOFtoCNF_Ta)
| ~ greater(X_451,X_450)
| ~ inertia(X_456,X_450,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_451,skolemFOFtoCNF_Ta)
| ~ organization(X_456,skolemFOFtoCNF_Ta)
| ~ reorganization(X_456,skolemFOFtoCNF_Ta,X_454)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_455)
| ~ reorganization_type(X_456,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_454,X_455)
| organization(skolemFOFtoCNF_Y,X_455) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta) )],[refute_0_3,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ class(skolemFOFtoCNF_X,X_464,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_464,skolemFOFtoCNF_Ta)
| ~ greater(X_466,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_466,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_467)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_468)
| ~ reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_467,X_468)
| organization(skolemFOFtoCNF_Y,X_468) ),
inference(subst,[],[refute_0_33:[bind(X_449,$fot(X_464)),bind(X_450,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))),bind(X_451,$fot(X_466)),bind(X_454,$fot(X_467)),bind(X_455,$fot(X_468)),bind(X_456,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_35,plain,
( ~ class(skolemFOFtoCNF_X,X_464,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_464,skolemFOFtoCNF_Ta)
| ~ greater(X_466,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,X_466,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_467)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_468)
| ~ reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_467,X_468)
| organization(skolemFOFtoCNF_Y,X_468) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta) )],[refute_0_9,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ class(skolemFOFtoCNF_X,X_464,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_464,skolemFOFtoCNF_Ta)
| ~ greater(X_466,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,X_466,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_467)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_468)
| ~ reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_467,X_468)
| organization(skolemFOFtoCNF_Y,X_468) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta) )],[refute_0_7,refute_0_35]) ).
cnf(refute_0_37,plain,
reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_38,plain,
( ~ class(skolemFOFtoCNF_X,X_464,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_464,skolemFOFtoCNF_Ta)
| ~ greater(X_466,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,X_466,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_467)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_468)
| greater(X_467,X_468)
| organization(skolemFOFtoCNF_Y,X_468) ),
inference(resolve,[$cnf( reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
( ~ class(skolemFOFtoCNF_X,X_470,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_470,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_472)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_473)
| greater(X_472,X_473)
| organization(skolemFOFtoCNF_Y,X_473) ),
inference(subst,[],[refute_0_38:[bind(X_464,$fot(X_470)),bind(X_466,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y))),bind(X_467,$fot(X_472)),bind(X_468,$fot(X_473))]]) ).
cnf(refute_0_40,plain,
( ~ class(skolemFOFtoCNF_X,X_470,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_470,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_472)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_473)
| greater(X_472,X_473)
| organization(skolemFOFtoCNF_Y,X_473) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) )],[refute_0_28,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ class(skolemFOFtoCNF_X,X_470,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_470,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_472)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_473)
| greater(X_472,X_473)
| organization(skolemFOFtoCNF_Y,X_473) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta) )],[refute_0_6,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ class(skolemFOFtoCNF_X,X_474,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_474,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_475)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tc)
| greater(X_475,skolemFOFtoCNF_Tc)
| organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc) ),
inference(subst,[],[refute_0_41:[bind(X_470,$fot(X_474)),bind(X_472,$fot(X_475)),bind(X_473,$fot(skolemFOFtoCNF_Tc))]]) ).
cnf(refute_0_43,plain,
( ~ class(skolemFOFtoCNF_X,X_474,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_474,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_475)
| greater(X_475,skolemFOFtoCNF_Tc)
| organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc) ),
inference(resolve,[$cnf( reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tc) )],[refute_0_2,refute_0_42]) ).
cnf(refute_0_44,plain,
~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_45,plain,
( ~ class(skolemFOFtoCNF_X,X_474,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_474,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_475)
| greater(X_475,skolemFOFtoCNF_Tc) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ class(skolemFOFtoCNF_X,X_477,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_477,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb)
| greater(skolemFOFtoCNF_Tb,skolemFOFtoCNF_Tc) ),
inference(subst,[],[refute_0_45:[bind(X_474,$fot(X_477)),bind(X_475,$fot(skolemFOFtoCNF_Tb))]]) ).
cnf(refute_0_47,plain,
( ~ class(skolemFOFtoCNF_X,X_477,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_477,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_Tb,skolemFOFtoCNF_Tc) ),
inference(resolve,[$cnf( reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb) )],[refute_0_1,refute_0_46]) ).
cnf(refute_0_48,plain,
~ greater(skolemFOFtoCNF_Tb,skolemFOFtoCNF_Tc),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_49,plain,
( ~ class(skolemFOFtoCNF_X,X_477,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_477,skolemFOFtoCNF_Ta) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_Tb,skolemFOFtoCNF_Tc) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta) ),
inference(subst,[],[refute_0_49:[bind(X_477,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_51,plain,
~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta),
inference(resolve,[$cnf( class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta) )],[refute_0_0,refute_0_50]) ).
cnf(refute_0_52,plain,
$false,
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta) )],[refute_0_27,refute_0_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT018+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.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 12:12:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47
%------------------------------------------------------------------------------