%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT002+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:15:15 AM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 21 unt; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 403 ( 179 ~; 170 |; 44 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 169 ( 2 sgn 96 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp3,axiom,
! [X,T] :
( organization(X,T)
=> ? [Rp] : reproducibility(X,Rp,T) ) ).
fof(mp4,axiom,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ) ).
fof(a3_FOL,hypothesis,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(Y,Rp2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2) )
=> ( greater(Rp2,Rp1)
<=> greater(I2,I1) ) ) ).
fof(a4_FOL,hypothesis,
! [X,Rp1,Rp2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& reproducibility(X,Rp1,T1)
& reproducibility(X,Rp2,T2)
& greater(T2,T1) )
=> greater(Rp2,Rp1) ) ).
fof(t2_FOL,conjecture,
! [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(subgoal_0,plain,
! [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) ),
inference(strip,[],[t2_FOL]) ).
fof(negate_0_0,plain,
~ ! [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) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [I1,I2,T1,T2,X] :
( ~ greater(I2,I1)
& greater(T2,T1)
& inertia(X,I1,T1)
& inertia(X,I2,T2)
& organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(skolemFOFtoCNF_I2,skolemFOFtoCNF_I1)
& greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
& inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I1,skolemFOFtoCNF_T1)
& inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I2,skolemFOFtoCNF_T2)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
& reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
! [T,X] :
( ~ organization(X,T)
| ? [Rp] : reproducibility(X,Rp,T) ),
inference(canonicalize,[],[mp3]) ).
fof(normalize_0_6,plain,
! [T,X] :
( ~ organization(X,T)
| ? [Rp] : reproducibility(X,Rp,T) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [T,X] :
( ~ organization(X,T)
| reproducibility(X,skolemFOFtoCNF_Rp(T,X),T) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
! [Rp1,Rp2,T1,T2,X] :
( ~ greater(T2,T1)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(X,Rp2,T2)
| greater(Rp2,Rp1) ),
inference(canonicalize,[],[a4_FOL]) ).
fof(normalize_0_10,plain,
! [Rp1,Rp2,T1,T2,X] :
( ~ greater(T2,T1)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(X,Rp2,T2)
| greater(Rp2,Rp1) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ( ~ greater(I2,I1)
<=> ~ greater(Rp2,Rp1) ) ),
inference(canonicalize,[],[a3_FOL]) ).
fof(normalize_0_14,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ( ~ greater(I2,I1)
<=> ~ greater(Rp2,Rp1) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(Rp2,Rp1) )
& ( ~ greater(Rp2,Rp1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(I2,I1) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
( ~ greater(Rp2,Rp1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(I2,I1) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ),
inference(canonicalize,[],[mp4]) ).
fof(normalize_0_18,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [T1,T2,X] :
( ( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T1,T1) )
& ( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T2) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T1,T1) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T2) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_22,plain,
~ greater(skolemFOFtoCNF_I2,skolemFOFtoCNF_I1),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ organization(X,T)
| reproducibility(X,skolemFOFtoCNF_Rp(T,X),T) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_3:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_3:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_8,plain,
reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ greater(T2,T1)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(X,Rp2,T2)
| greater(Rp2,Rp1) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ greater(X_14,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,X_14)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,X_14)
| ~ reproducibility(skolemFOFtoCNF_X,X_12,X_14)
| ~ reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| greater(X_12,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_9:[bind(Rp1,$fot(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(Rp2,$fot(X_12)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_14)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_11,plain,
( ~ greater(X_14,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,X_14)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,X_14)
| ~ reproducibility(skolemFOFtoCNF_X,X_12,X_14)
| greater(X_12,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ greater(X_14,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,X_14)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,X_14)
| ~ reproducibility(skolemFOFtoCNF_X,X_12,X_14)
| greater(X_12,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| ~ reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_12:[bind(X_12,$fot(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X))),bind(X_14,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_14,plain,
( ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_16,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
( ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_2,refute_0_16]) ).
cnf(refute_0_18,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ greater(Rp2,Rp1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reproducibility(Y,Rp2,T2)
| greater(I2,I1) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_21,plain,
( ~ greater(X_123,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(X_127,X_121,X_125)
| ~ inertia(skolemFOFtoCNF_X,X_120,skolemFOFtoCNF_T1)
| ~ organization(X_127,X_125)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_127,X_125,X_125)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ reproducibility(X_127,X_123,X_125)
| ~ reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| greater(X_121,X_120) ),
inference(subst,[],[refute_0_20:[bind(I1,$fot(X_120)),bind(I2,$fot(X_121)),bind(Rp1,$fot(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(Rp2,$fot(X_123)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_125)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_127))]]) ).
cnf(refute_0_22,plain,
( ~ greater(X_123,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(X_127,X_121,X_125)
| ~ inertia(skolemFOFtoCNF_X,X_120,skolemFOFtoCNF_T1)
| ~ organization(X_127,X_125)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_127,X_125,X_125)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ reproducibility(X_127,X_123,X_125)
| greater(X_121,X_120) ),
inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_8,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ greater(X_123,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(X_127,X_121,X_125)
| ~ inertia(skolemFOFtoCNF_X,X_120,skolemFOFtoCNF_T1)
| ~ organization(X_127,X_125)
| ~ reorganization_free(X_127,X_125,X_125)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ reproducibility(X_127,X_123,X_125)
| greater(X_121,X_120) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T1,T1) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_25,plain,
( ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_24:[bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_26,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_18,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ greater(X_123,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(X_127,X_121,X_125)
| ~ inertia(skolemFOFtoCNF_X,X_120,skolemFOFtoCNF_T1)
| ~ organization(X_127,X_125)
| ~ reorganization_free(X_127,X_125,X_125)
| ~ reproducibility(X_127,X_123,X_125)
| greater(X_121,X_120) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) )],[refute_0_26,refute_0_23]) ).
cnf(refute_0_28,plain,
( ~ greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(X_132,X_129,X_131)
| ~ inertia(skolemFOFtoCNF_X,X_128,skolemFOFtoCNF_T1)
| ~ organization(X_132,X_131)
| ~ reorganization_free(X_132,X_131,X_131)
| ~ reproducibility(X_132,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),X_131)
| greater(X_129,X_128) ),
inference(subst,[],[refute_0_27:[bind(X_120,$fot(X_128)),bind(X_121,$fot(X_129)),bind(X_123,$fot(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X))),bind(X_125,$fot(X_131)),bind(X_127,$fot(X_132))]]) ).
cnf(refute_0_29,plain,
( ~ inertia(X_132,X_129,X_131)
| ~ inertia(skolemFOFtoCNF_X,X_128,skolemFOFtoCNF_T1)
| ~ organization(X_132,X_131)
| ~ reorganization_free(X_132,X_131,X_131)
| ~ reproducibility(X_132,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),X_131)
| greater(X_129,X_128) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_Rp(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) )],[refute_0_19,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ inertia(skolemFOFtoCNF_X,X_133,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_134,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| ~ reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2)
| greater(X_134,X_133) ),
inference(subst,[],[refute_0_29:[bind(X_128,$fot(X_133)),bind(X_129,$fot(X_134)),bind(X_131,$fot(skolemFOFtoCNF_T2)),bind(X_132,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_31,plain,
( ~ inertia(skolemFOFtoCNF_X,X_133,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_134,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(X_134,X_133) ),
inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_5,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ inertia(skolemFOFtoCNF_X,X_133,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_134,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(X_134,X_133) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_2,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T2) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_34,plain,
( ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_33:[bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_35,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_18,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ inertia(skolemFOFtoCNF_X,X_133,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_134,skolemFOFtoCNF_T2)
| greater(X_134,X_133) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) )],[refute_0_35,refute_0_32]) ).
cnf(refute_0_37,plain,
( ~ inertia(skolemFOFtoCNF_X,X_138,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I1,skolemFOFtoCNF_T1)
| greater(X_138,skolemFOFtoCNF_I1) ),
inference(subst,[],[refute_0_36:[bind(X_133,$fot(skolemFOFtoCNF_I1)),bind(X_134,$fot(X_138))]]) ).
cnf(refute_0_38,plain,
( ~ inertia(skolemFOFtoCNF_X,X_138,skolemFOFtoCNF_T2)
| greater(X_138,skolemFOFtoCNF_I1) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I1,skolemFOFtoCNF_T1) )],[refute_0_1,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_I2,skolemFOFtoCNF_I1) ),
inference(subst,[],[refute_0_38:[bind(X_138,$fot(skolemFOFtoCNF_I2))]]) ).
cnf(refute_0_40,plain,
greater(skolemFOFtoCNF_I2,skolemFOFtoCNF_I1),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I2,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_39]) ).
cnf(refute_0_41,plain,
~ greater(skolemFOFtoCNF_I2,skolemFOFtoCNF_I1),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I2,skolemFOFtoCNF_I1) )],[refute_0_40,refute_0_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT002+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.10/0.36 % Computer : n029.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 11:34:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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
% 0.14/0.43
%------------------------------------------------------------------------------