TSTP Solution File: MGT017+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 0.14s 0.42s
% Output : CNFRefutation 0.14s
% 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 : 558 ( 242 ~; 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(a13_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(Tc,Tb) ) ).
fof(t17_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(Tc,Tb) ) ).
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(Tc,Tb) ),
inference(strip,[],[t17_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(Tc,Tb) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [C,Rt,S1,S2,Ta,Tb,Tc,X,Y] :
( ~ greater(Tc,Tb)
& class(X,C,Ta)
& class(Y,C,Ta)
& greater(S2,S1)
& organization(X,Ta)
& organization(Y,Ta)
& organization(Y,Tc)
& 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_Tc,skolemFOFtoCNF_Tb)
& 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)
& organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc)
& 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_X,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)
| ~ organization(Y,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization_type(X,Rt,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| greater(Tc,Tb) ),
inference(canonicalize,[],[a13_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)
| ~ organization(Y,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization_type(X,Rt,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| greater(Tc,Tb) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
reorganization_type(skolemFOFtoCNF_Y,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_Tc,skolemFOFtoCNF_Tb),
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_327,X_319,X_325)
| ~ class(skolemFOFtoCNF_X,X_319,skolemFOFtoCNF_Ta)
| ~ greater(X_323,skolemFOFtoCNF_S1)
| ~ inertia(X_327,X_321,X_325)
| ~ inertia(skolemFOFtoCNF_X,X_320,skolemFOFtoCNF_Ta)
| ~ organization(X_327,X_325)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ size(X_327,X_323,X_325)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta)
| greater(X_321,X_320) ),
inference(subst,[],[refute_0_12:[bind(C,$fot(X_319)),bind(I1,$fot(X_320)),bind(I2,$fot(X_321)),bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(X_323)),bind(T1,$fot(skolemFOFtoCNF_Ta)),bind(T2,$fot(X_325)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_327))]]) ).
cnf(refute_0_14,plain,
( ~ class(X_327,X_319,X_325)
| ~ class(skolemFOFtoCNF_X,X_319,skolemFOFtoCNF_Ta)
| ~ greater(X_323,skolemFOFtoCNF_S1)
| ~ inertia(X_327,X_321,X_325)
| ~ inertia(skolemFOFtoCNF_X,X_320,skolemFOFtoCNF_Ta)
| ~ organization(X_327,X_325)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ size(X_327,X_323,X_325)
| greater(X_321,X_320) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_Ta) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ class(X_327,X_319,X_325)
| ~ class(skolemFOFtoCNF_X,X_319,skolemFOFtoCNF_Ta)
| ~ greater(X_323,skolemFOFtoCNF_S1)
| ~ inertia(X_327,X_321,X_325)
| ~ inertia(skolemFOFtoCNF_X,X_320,skolemFOFtoCNF_Ta)
| ~ organization(X_327,X_325)
| ~ size(X_327,X_323,X_325)
| greater(X_321,X_320) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta) )],[refute_0_7,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ class(skolemFOFtoCNF_X,X_328,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_328,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_329,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_330,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| ~ size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_Ta)
| greater(X_330,X_329) ),
inference(subst,[],[refute_0_15:[bind(X_319,$fot(X_328)),bind(X_320,$fot(X_329)),bind(X_321,$fot(X_330)),bind(X_323,$fot(skolemFOFtoCNF_S2)),bind(X_325,$fot(skolemFOFtoCNF_Ta)),bind(X_327,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_17,plain,
( ~ class(skolemFOFtoCNF_X,X_328,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_328,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ inertia(skolemFOFtoCNF_X,X_329,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_330,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| greater(X_330,X_329) ),
inference(resolve,[$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_328,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_328,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_329,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_330,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| greater(X_330,X_329) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ class(skolemFOFtoCNF_X,X_328,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_328,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_329,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_330,skolemFOFtoCNF_Ta)
| greater(X_330,X_329) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta) )],[refute_0_3,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ class(skolemFOFtoCNF_X,X_334,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_334,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_336,skolemFOFtoCNF_Ta)
| greater(X_336,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_20:[bind(X_328,$fot(X_334)),bind(X_329,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))),bind(X_330,$fot(X_336))]]) ).
cnf(refute_0_22,plain,
( ~ class(skolemFOFtoCNF_X,X_334,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_334,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,X_336,skolemFOFtoCNF_Ta)
| greater(X_336,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(resolve,[$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_337,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_337,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_334,$fot(X_337)),bind(X_336,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_24,plain,
( ~ class(skolemFOFtoCNF_X,X_337,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_337,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta) )],[refute_0_6,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_24:[bind(X_337,$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_X,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)
| ~ organization(Y,Tc)
| ~ reorganization(X,Ta,Tb)
| ~ reorganization(Y,Ta,Tc)
| ~ reorganization_type(X,Rt,Ta)
| ~ reorganization_type(Y,Rt,Ta)
| greater(Tc,Tb) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_31,plain,
( ~ class(X_555,X_547,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_X,X_547,skolemFOFtoCNF_Ta)
| ~ greater(X_549,X_548)
| ~ inertia(X_555,X_549,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_548,skolemFOFtoCNF_Ta)
| ~ organization(X_555,X_553)
| ~ organization(X_555,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ reorganization(X_555,skolemFOFtoCNF_Ta,X_553)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_552)
| ~ reorganization_type(X_555,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| ~ reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_553,X_552) ),
inference(subst,[],[refute_0_30:[bind(C,$fot(X_547)),bind(I1,$fot(X_548)),bind(I2,$fot(X_549)),bind(Rt,$fot(skolemFOFtoCNF_Rt)),bind(Ta,$fot(skolemFOFtoCNF_Ta)),bind(Tb,$fot(X_552)),bind(Tc,$fot(X_553)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_555))]]) ).
cnf(refute_0_32,plain,
( ~ class(X_555,X_547,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_X,X_547,skolemFOFtoCNF_Ta)
| ~ greater(X_549,X_548)
| ~ inertia(X_555,X_549,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_548,skolemFOFtoCNF_Ta)
| ~ organization(X_555,X_553)
| ~ organization(X_555,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta)
| ~ reorganization(X_555,skolemFOFtoCNF_Ta,X_553)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_552)
| ~ reorganization_type(X_555,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_553,X_552) ),
inference(resolve,[$cnf( reorganization_type(skolemFOFtoCNF_X,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ class(X_555,X_547,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_X,X_547,skolemFOFtoCNF_Ta)
| ~ greater(X_549,X_548)
| ~ inertia(X_555,X_549,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,X_548,skolemFOFtoCNF_Ta)
| ~ organization(X_555,X_553)
| ~ organization(X_555,skolemFOFtoCNF_Ta)
| ~ reorganization(X_555,skolemFOFtoCNF_Ta,X_553)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_552)
| ~ reorganization_type(X_555,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_553,X_552) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta) )],[refute_0_7,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ class(skolemFOFtoCNF_X,X_628,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_628,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),X_629)
| ~ inertia(skolemFOFtoCNF_X,X_629,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_632)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_631)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_632)
| ~ reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_632,X_631) ),
inference(subst,[],[refute_0_33:[bind(X_547,$fot(X_628)),bind(X_548,$fot(X_629)),bind(X_549,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y))),bind(X_552,$fot(X_631)),bind(X_553,$fot(X_632)),bind(X_555,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_35,plain,
( ~ class(skolemFOFtoCNF_X,X_628,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_628,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),X_629)
| ~ inertia(skolemFOFtoCNF_X,X_629,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_632)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_631)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_632)
| ~ reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_632,X_631) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_Ta) )],[refute_0_6,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ class(skolemFOFtoCNF_X,X_628,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_628,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),X_629)
| ~ inertia(skolemFOFtoCNF_X,X_629,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_632)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_631)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_632)
| ~ reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta)
| greater(X_632,X_631) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta) )],[refute_0_3,refute_0_35]) ).
cnf(refute_0_37,plain,
reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_38,plain,
( ~ class(skolemFOFtoCNF_X,X_628,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_628,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),X_629)
| ~ inertia(skolemFOFtoCNF_X,X_629,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_632)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_631)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_632)
| greater(X_632,X_631) ),
inference(resolve,[$cnf( reorganization_type(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rt,skolemFOFtoCNF_Ta) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
( ~ class(skolemFOFtoCNF_X,X_634,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_634,skolemFOFtoCNF_Ta)
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_637)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_636)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_637)
| greater(X_637,X_636) ),
inference(subst,[],[refute_0_38:[bind(X_628,$fot(X_634)),bind(X_629,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X))),bind(X_631,$fot(X_636)),bind(X_632,$fot(X_637))]]) ).
cnf(refute_0_40,plain,
( ~ class(skolemFOFtoCNF_X,X_634,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_634,skolemFOFtoCNF_Ta)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_637)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_636)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_637)
| greater(X_637,X_636) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X)) )],[refute_0_28,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ class(skolemFOFtoCNF_X,X_634,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_634,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,X_637)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_636)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,X_637)
| greater(X_637,X_636) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_Ta,skolemFOFtoCNF_X),skolemFOFtoCNF_Ta) )],[refute_0_9,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ class(skolemFOFtoCNF_X,X_638,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_638,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_639)
| ~ reorganization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tc)
| greater(skolemFOFtoCNF_Tc,X_639) ),
inference(subst,[],[refute_0_41:[bind(X_634,$fot(X_638)),bind(X_636,$fot(X_639)),bind(X_637,$fot(skolemFOFtoCNF_Tc))]]) ).
cnf(refute_0_43,plain,
( ~ class(skolemFOFtoCNF_X,X_638,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_638,skolemFOFtoCNF_Ta)
| ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_639)
| greater(skolemFOFtoCNF_Tc,X_639) ),
inference(resolve,[$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_638,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_638,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,X_639)
| greater(skolemFOFtoCNF_Tc,X_639) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_Tc) )],[refute_0_44,refute_0_43]) ).
cnf(refute_0_46,plain,
( ~ class(skolemFOFtoCNF_X,X_641,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_641,skolemFOFtoCNF_Ta)
| ~ reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb)
| greater(skolemFOFtoCNF_Tc,skolemFOFtoCNF_Tb) ),
inference(subst,[],[refute_0_45:[bind(X_638,$fot(X_641)),bind(X_639,$fot(skolemFOFtoCNF_Tb))]]) ).
cnf(refute_0_47,plain,
( ~ class(skolemFOFtoCNF_X,X_641,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_641,skolemFOFtoCNF_Ta)
| greater(skolemFOFtoCNF_Tc,skolemFOFtoCNF_Tb) ),
inference(resolve,[$cnf( reorganization(skolemFOFtoCNF_X,skolemFOFtoCNF_Ta,skolemFOFtoCNF_Tb) )],[refute_0_1,refute_0_46]) ).
cnf(refute_0_48,plain,
~ greater(skolemFOFtoCNF_Tc,skolemFOFtoCNF_Tb),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_49,plain,
( ~ class(skolemFOFtoCNF_X,X_641,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,X_641,skolemFOFtoCNF_Ta) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_Tc,skolemFOFtoCNF_Tb) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta)
| ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_Ta) ),
inference(subst,[],[refute_0_49:[bind(X_641,$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
% 0.08/0.09 % Problem : MGT017+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 9 08:13:52 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.42
%------------------------------------------------------------------------------