TSTP Solution File: MGT003+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT003+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 22:18:46 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 21 unt; 0 def)
% Number of atoms : 259 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 336 ( 147 ~; 138 |; 44 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 151 ( 2 sgn 80 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp4,axiom,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ) ).
fof(mp5,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ) ).
fof(t1_FOL,hypothesis,
! [X,Y,T1,T2,I1,I2,P1,P2] :
( ( organization(X,T1)
& organization(Y,T2)
& reorganization_free(X,T1,T1)
& reorganization_free(Y,T2,T2)
& inertia(X,I1,T1)
& inertia(Y,I2,T2)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& greater(I2,I1) )
=> greater(P2,P1) ) ).
fof(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(t3_FOL,conjecture,
! [X,P1,P2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& greater(T2,T1) )
=> greater(P2,P1) ) ).
fof(subgoal_0,plain,
! [X,P1,P2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& greater(T2,T1) )
=> greater(P2,P1) ),
inference(strip,[],[t3_FOL]) ).
fof(negate_0_0,plain,
~ ! [X,P1,P2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& greater(T2,T1) )
=> greater(P2,P1) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [P1,P2,T1,T2,X] :
( ~ greater(P2,P1)
& greater(T2,T1)
& organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1)
& greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
& organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
& reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
& survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1)
& survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P2,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,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,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_9,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_8]) ).
fof(normalize_0_10,plain,
greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
! [I1,I2,P1,P2,T1,T2,X,Y] :
( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ survival_chance(X,P1,T1)
| ~ survival_chance(Y,P2,T2)
| greater(P2,P1) ),
inference(canonicalize,[],[t1_FOL]) ).
fof(normalize_0_14,plain,
! [I1,I2,P1,P2,T1,T2,X,Y] :
( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ survival_chance(X,P1,T1)
| ~ survival_chance(Y,P2,T2)
| greater(P2,P1) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_16,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| ( reorganization_free(X,T1,T1)
& reorganization_free(X,T2,T2) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T1,T1) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T2) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_20,plain,
~ greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1),
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,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_8,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_9]) ).
cnf(refute_0_9,plain,
( ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_14,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(X_14,X_13) ),
inference(subst,[],[refute_0_8:[bind(I1,$fot(X_13)),bind(I2,$fot(X_14)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_10,plain,
( ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_14,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| greater(X_14,X_13) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_12,plain,
( ~ inertia(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_14,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| greater(X_14,X_13) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( ~ inertia(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_14,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| greater(X_14,X_13) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ inertia(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_14,skolemFOFtoCNF_T2)
| greater(X_14,X_13) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ inertia(skolemFOFtoCNF_X,X_19,skolemFOFtoCNF_T2)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| greater(X_19,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_14:[bind(X_13,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_14,$fot(X_19))]]) ).
cnf(refute_0_16,plain,
( ~ inertia(skolemFOFtoCNF_X,X_19,skolemFOFtoCNF_T2)
| greater(X_19,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,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_16:[bind(X_19,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_18,plain,
greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_3,refute_0_17]) ).
cnf(refute_0_19,plain,
survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_20,plain,
survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_21,plain,
( ~ greater(I2,I1)
| ~ inertia(X,I1,T1)
| ~ inertia(Y,I2,T2)
| ~ organization(X,T1)
| ~ organization(Y,T2)
| ~ reorganization_free(X,T1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ survival_chance(X,P1,T1)
| ~ survival_chance(Y,P2,T2)
| greater(P2,P1) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_22,plain,
( ~ greater(X_133,X_132)
| ~ inertia(X_139,X_133,X_137)
| ~ inertia(skolemFOFtoCNF_X,X_132,skolemFOFtoCNF_T1)
| ~ organization(X_139,X_137)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_139,X_137,X_137)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ survival_chance(X_139,X_135,X_137)
| ~ survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1)
| greater(X_135,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_21:[bind(I1,$fot(X_132)),bind(I2,$fot(X_133)),bind(P1,$fot(skolemFOFtoCNF_P1)),bind(P2,$fot(X_135)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_137)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_139))]]) ).
cnf(refute_0_23,plain,
( ~ greater(X_133,X_132)
| ~ inertia(X_139,X_133,X_137)
| ~ inertia(skolemFOFtoCNF_X,X_132,skolemFOFtoCNF_T1)
| ~ organization(X_139,X_137)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(X_139,X_137,X_137)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ survival_chance(X_139,X_135,X_137)
| greater(X_135,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P1,skolemFOFtoCNF_T1) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ greater(X_133,X_132)
| ~ inertia(X_139,X_133,X_137)
| ~ inertia(skolemFOFtoCNF_X,X_132,skolemFOFtoCNF_T1)
| ~ organization(X_139,X_137)
| ~ reorganization_free(X_139,X_137,X_137)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
| ~ survival_chance(X_139,X_135,X_137)
| greater(X_135,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_4,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T1,T1) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_26,plain,
( ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_25:[bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_27,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_7,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ greater(X_133,X_132)
| ~ inertia(X_139,X_133,X_137)
| ~ inertia(skolemFOFtoCNF_X,X_132,skolemFOFtoCNF_T1)
| ~ organization(X_139,X_137)
| ~ reorganization_free(X_139,X_137,X_137)
| ~ survival_chance(X_139,X_135,X_137)
| greater(X_135,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) )],[refute_0_27,refute_0_24]) ).
cnf(refute_0_29,plain,
( ~ greater(X_159,X_158)
| ~ inertia(skolemFOFtoCNF_X,X_158,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_159,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| ~ survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(subst,[],[refute_0_28:[bind(X_132,$fot(X_158)),bind(X_133,$fot(X_159)),bind(X_135,$fot(skolemFOFtoCNF_P2)),bind(X_137,$fot(skolemFOFtoCNF_T2)),bind(X_139,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_30,plain,
( ~ greater(X_159,X_158)
| ~ inertia(skolemFOFtoCNF_X,X_158,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_159,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( survival_chance(skolemFOFtoCNF_X,skolemFOFtoCNF_P2,skolemFOFtoCNF_T2) )],[refute_0_19,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ greater(X_159,X_158)
| ~ inertia(skolemFOFtoCNF_X,X_158,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_159,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_0,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T2) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_33,plain,
( ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_32:[bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_34,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_7,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ greater(X_159,X_158)
| ~ inertia(skolemFOFtoCNF_X,X_158,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_159,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) )],[refute_0_34,refute_0_31]) ).
cnf(refute_0_36,plain,
~ greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_37,plain,
( ~ greater(X_159,X_158)
| ~ inertia(skolemFOFtoCNF_X,X_158,skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,X_159,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_P2,skolemFOFtoCNF_P1) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_37:[bind(X_158,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_159,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_39,plain,
( ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
| ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) )],[refute_0_18,refute_0_38]) ).
cnf(refute_0_40,plain,
~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2),
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_6,refute_0_39]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_X),skolemFOFtoCNF_T2) )],[refute_0_3,refute_0_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 09:32:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.40
%------------------------------------------------------------------------------