TSTP Solution File: MGT011+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT011+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 22:18:50 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 95 ( 26 unt; 0 def)
% Number of atoms : 332 ( 22 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 431 ( 194 ~; 184 |; 45 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 195 ( 0 sgn 94 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp5,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ) ).
fof(mp6_2,axiom,
! [X,Y] :
~ ( greater(X,Y)
& greater(Y,X) ) ).
fof(mp9,axiom,
! [X,T] :
( organization(X,T)
=> ? [C] : class(X,C,T) ) ).
fof(mp10,axiom,
! [X,T1,T2,C1,C2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& class(X,C1,T1)
& class(X,C2,T2) )
=> C1 = C2 ) ).
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(t2_FOL,hypothesis,
! [X,I1,I2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& inertia(X,I1,T1)
& inertia(X,I2,T2)
& greater(T2,T1) )
=> greater(I2,I1) ) ).
fof(t11_FOL,conjecture,
! [X,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(T2,T1) )
=> ~ greater(S1,S2) ) ).
fof(subgoal_0,plain,
! [X,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(T2,T1) )
=> ~ greater(S1,S2) ),
inference(strip,[],[t11_FOL]) ).
fof(negate_0_0,plain,
~ ! [X,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(T2,T1) )
=> ~ greater(S1,S2) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [S1,S2,T1,T2,X] :
( greater(S1,S2)
& greater(T2,T1)
& organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& size(X,S1,T1)
& size(X,S2,T2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2)
& greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
& reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
& size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
& size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
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,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [T,X] :
( ~ organization(X,T)
| ? [C] : class(X,C,T) ),
inference(canonicalize,[],[mp9]) ).
fof(normalize_0_9,plain,
! [T,X] :
( ~ organization(X,T)
| ? [C] : class(X,C,T) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [T,X] :
( ~ organization(X,T)
| class(X,skolemFOFtoCNF_C(T,X),T) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
! [C1,C2,T1,T2,X] :
( ~ class(X,C1,T1)
| ~ class(X,C2,T2)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| C1 = C2 ),
inference(canonicalize,[],[mp10]) ).
fof(normalize_0_13,plain,
! [C1,C2,T1,T2,X] :
( ~ class(X,C1,T1)
| ~ class(X,C2,T2)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| C1 = C2 ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,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_16,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_15]) ).
fof(normalize_0_17,plain,
greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[mp6_2]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [I1,I2,T1,T2,X] :
( ~ greater(T2,T1)
| ~ inertia(X,I1,T1)
| ~ inertia(X,I2,T2)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| greater(I2,I1) ),
inference(canonicalize,[],[t2_FOL]) ).
fof(normalize_0_21,plain,
! [I1,I2,T1,T2,X] :
( ~ greater(T2,T1)
| ~ inertia(X,I1,T1)
| ~ inertia(X,I2,T2)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| greater(I2,I1) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
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_T2)
| inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,plain,
( ~ organization(X,T)
| class(X,skolemFOFtoCNF_C(T,X),T) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_9,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_8:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_10,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_8:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_12,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_14,plain,
( ~ class(X,C1,T1)
| ~ class(X,C2,T2)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| C1 = C2 ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
( ~ class(skolemFOFtoCNF_X,X_7,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_X,X_8,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| X_7 = X_8 ),
inference(subst,[],[refute_0_14:[bind(C1,$fot(X_7)),bind(C2,$fot(X_8)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_16,plain,
( ~ class(skolemFOFtoCNF_X,X_7,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_X,X_8,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| X_7 = X_8 ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ class(skolemFOFtoCNF_X,X_7,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_X,X_8,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| X_7 = X_8 ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ class(skolemFOFtoCNF_X,X_7,skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_X,X_8,skolemFOFtoCNF_T2)
| X_7 = X_8 ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ class(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T2)
| ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X) = X_13 ),
inference(subst,[],[refute_0_18:[bind(X_7,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_8,$fot(X_13))]]) ).
cnf(refute_0_20,plain,
( ~ class(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T2)
| skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X) = X_13 ),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X) = skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_20:[bind(X_13,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_22,plain,
skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X) = skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_10,refute_0_21]) ).
cnf(refute_0_23,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_24,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_25,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X) != skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)
| skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X) = skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_25:[bind(X0,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(Y0,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_27,plain,
skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X) = skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)) )],[refute_0_22,refute_0_26]) ).
cnf(refute_0_28,plain,
( skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X) != skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)
| ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
introduced(tautology,[equality,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),[1],$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))]]) ).
cnf(refute_0_29,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_10,refute_0_29]) ).
cnf(refute_0_31,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_32,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_16]) ).
cnf(refute_0_33,plain,
( ~ class(X_74,X_67,X_72)
| ~ class(skolemFOFtoCNF_X,X_67,skolemFOFtoCNF_T1)
| ~ greater(skolemFOFtoCNF_S1,X_70)
| ~ inertia(X_74,X_68,X_72)
| ~ inertia(skolemFOFtoCNF_X,X_69,skolemFOFtoCNF_T1)
| ~ organization(X_74,X_72)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(X_74,X_70,X_72)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
| greater(X_69,X_68) ),
inference(subst,[],[refute_0_32:[bind(C,$fot(X_67)),bind(I1,$fot(X_68)),bind(I2,$fot(X_69)),bind(S1,$fot(X_70)),bind(S2,$fot(skolemFOFtoCNF_S1)),bind(T1,$fot(X_72)),bind(T2,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(X_74)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_34,plain,
( ~ class(X_74,X_67,X_72)
| ~ class(skolemFOFtoCNF_X,X_67,skolemFOFtoCNF_T1)
| ~ greater(skolemFOFtoCNF_S1,X_70)
| ~ inertia(X_74,X_68,X_72)
| ~ inertia(skolemFOFtoCNF_X,X_69,skolemFOFtoCNF_T1)
| ~ organization(X_74,X_72)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(X_74,X_70,X_72)
| greater(X_69,X_68) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) )],[refute_0_31,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ class(X_74,X_67,X_72)
| ~ class(skolemFOFtoCNF_X,X_67,skolemFOFtoCNF_T1)
| ~ greater(skolemFOFtoCNF_S1,X_70)
| ~ inertia(X_74,X_68,X_72)
| ~ inertia(skolemFOFtoCNF_X,X_69,skolemFOFtoCNF_T1)
| ~ organization(X_74,X_72)
| ~ size(X_74,X_70,X_72)
| greater(X_69,X_68) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S1,X_119)
| ~ inertia(skolemFOFtoCNF_X,X_117,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_118,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ size(skolemFOFtoCNF_X,X_119,skolemFOFtoCNF_T2)
| greater(X_118,X_117) ),
inference(subst,[],[refute_0_35:[bind(X_67,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_68,$fot(X_117)),bind(X_69,$fot(X_118)),bind(X_70,$fot(X_119)),bind(X_72,$fot(skolemFOFtoCNF_T2)),bind(X_74,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_37,plain,
( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ greater(skolemFOFtoCNF_S1,X_119)
| ~ inertia(skolemFOFtoCNF_X,X_117,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_118,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ size(skolemFOFtoCNF_X,X_119,skolemFOFtoCNF_T2)
| greater(X_118,X_117) ),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_30,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ greater(skolemFOFtoCNF_S1,X_119)
| ~ inertia(skolemFOFtoCNF_X,X_117,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_118,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ size(skolemFOFtoCNF_X,X_119,skolemFOFtoCNF_T2)
| greater(X_118,X_117) ),
inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_12,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ greater(skolemFOFtoCNF_S1,X_119)
| ~ inertia(skolemFOFtoCNF_X,X_117,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_118,skolemFOFtoCNF_T1)
| ~ size(skolemFOFtoCNF_X,X_119,skolemFOFtoCNF_T2)
| greater(X_118,X_117) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2)
| ~ inertia(skolemFOFtoCNF_X,X_122,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_123,skolemFOFtoCNF_T1)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
| greater(X_123,X_122) ),
inference(subst,[],[refute_0_39:[bind(X_117,$fot(X_122)),bind(X_118,$fot(X_123)),bind(X_119,$fot(skolemFOFtoCNF_S2))]]) ).
cnf(refute_0_41,plain,
( ~ greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2)
| ~ inertia(skolemFOFtoCNF_X,X_122,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_123,skolemFOFtoCNF_T1)
| greater(X_123,X_122) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) )],[refute_0_7,refute_0_40]) ).
cnf(refute_0_42,plain,
greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_43,plain,
( ~ inertia(skolemFOFtoCNF_X,X_122,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,X_123,skolemFOFtoCNF_T1)
| greater(X_123,X_122) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
( ~ inertia(skolemFOFtoCNF_X,X_125,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),X_125) ),
inference(subst,[],[refute_0_43:[bind(X_122,$fot(X_125)),bind(X_123,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_45,plain,
( ~ inertia(skolemFOFtoCNF_X,X_125,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),X_125) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_45:[bind(X_125,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_47,plain,
greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_3,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ greater(X,Y)
| ~ greater(Y,X) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_49,plain,
( ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X))
| ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_48:[bind(X,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X))),bind(Y,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_50,plain,
( ~ greater(T2,T1)
| ~ inertia(X,I1,T1)
| ~ inertia(X,I2,T2)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| greater(I2,I1) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_51,plain,
( ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_46,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_47,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(X_47,X_46) ),
inference(subst,[],[refute_0_50:[bind(I1,$fot(X_46)),bind(I2,$fot(X_47)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_52,plain,
( ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_46,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_47,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| greater(X_47,X_46) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_13,refute_0_51]) ).
cnf(refute_0_53,plain,
greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_54,plain,
( ~ inertia(skolemFOFtoCNF_X,X_46,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_47,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| greater(X_47,X_46) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_53,refute_0_52]) ).
cnf(refute_0_55,plain,
( ~ inertia(skolemFOFtoCNF_X,X_46,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_47,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| greater(X_47,X_46) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ inertia(skolemFOFtoCNF_X,X_46,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_47,skolemFOFtoCNF_T2)
| greater(X_47,X_46) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ inertia(skolemFOFtoCNF_X,X_52,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| greater(X_52,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_56:[bind(X_46,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_47,$fot(X_52))]]) ).
cnf(refute_0_58,plain,
( ~ inertia(skolemFOFtoCNF_X,X_52,skolemFOFtoCNF_T2)
| greater(X_52,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_58:[bind(X_52,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_60,plain,
greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_3,refute_0_59]) ).
cnf(refute_0_61,plain,
~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) )],[refute_0_60,refute_0_49]) ).
cnf(refute_0_62,plain,
$false,
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)) )],[refute_0_47,refute_0_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT011+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 10:12:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39
% 0.18/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.40
%------------------------------------------------------------------------------