TSTP Solution File: MGT014+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT014+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 22:18:51 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 106 ( 35 unt; 0 def)
% Number of atoms : 335 ( 47 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 415 ( 186 ~; 167 |; 53 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 162 ( 1 sgn 93 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp6_1,axiom,
! [X,Y] :
~ ( greater(X,Y)
& X = Y ) ).
fof(mp15,axiom,
! [X,T] :
( organization(X,T)
=> time(T) ) ).
fof(mp16,axiom,
! [T1,T2] :
( ( time(T1)
& time(T2) )
=> ( greater(T1,T2)
| T1 = T2
| greater(T2,T1) ) ) ).
fof(mp17,axiom,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> reorganization_free(X,T2,T1) ) ).
fof(mp19,axiom,
! [X,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& T1 = T2 )
=> S1 = S2 ) ).
fof(t11_FOL,hypothesis,
! [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(t12_FOL,hypothesis,
! [X,C1,C2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& greater(T2,T1) )
=> ~ greater(C1,C2) ) ).
fof(t14_FOL,conjecture,
! [X,C1,C2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(S2,S1) )
=> ~ greater(C1,C2) ) ).
fof(subgoal_0,plain,
! [X,C1,C2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(S2,S1) )
=> ~ greater(C1,C2) ),
inference(strip,[],[t14_FOL]) ).
fof(negate_0_0,plain,
~ ! [X,C1,C2,S1,S2,T1,T2] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization_free(X,T1,T2)
& complexity(X,C1,T1)
& complexity(X,C2,T2)
& size(X,S1,T1)
& size(X,S2,T2)
& greater(S2,S1) )
=> ~ greater(C1,C2) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [C1,C2,S1,S2,T1,T2,X] :
( complexity(X,C1,T1)
& complexity(X,C2,T2)
& greater(C1,C2)
& greater(S2,S1)
& 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,
( complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C1,skolemFOFtoCNF_T1)
& complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C2,skolemFOFtoCNF_T2)
& greater(skolemFOFtoCNF_C1,skolemFOFtoCNF_C2)
& greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
& 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,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [S1,S2,T1,T2,X] :
( T1 != T2
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ size(X,S1,T1)
| ~ size(X,S2,T2)
| S1 = S2 ),
inference(canonicalize,[],[mp19]) ).
fof(normalize_0_5,plain,
! [S1,S2,T1,T2,X] :
( T1 != T2
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ size(X,S1,T1)
| ~ size(X,S2,T2)
| S1 = S2 ),
inference(specialize,[],[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,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
! [T,X] :
( ~ organization(X,T)
| time(T) ),
inference(canonicalize,[],[mp15]) ).
fof(normalize_0_10,plain,
! [T,X] :
( ~ organization(X,T)
| time(T) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [T1,T2] :
( ~ time(T1)
| ~ time(T2)
| T1 = T2
| greater(T1,T2)
| greater(T2,T1) ),
inference(canonicalize,[],[mp16]) ).
fof(normalize_0_12,plain,
! [T1,T2] :
( ~ time(T1)
| ~ time(T2)
| T1 = T2
| greater(T1,T2)
| greater(T2,T1) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C2,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C1,skolemFOFtoCNF_T1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
! [C1,C2,T1,T2,X] :
( ~ complexity(X,C1,T1)
| ~ complexity(X,C2,T2)
| ~ greater(C1,C2)
| ~ greater(T2,T1)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2) ),
inference(canonicalize,[],[t12_FOL]) ).
fof(normalize_0_17,plain,
! [C1,C2,T1,T2,X] :
( ~ complexity(X,C1,T1)
| ~ complexity(X,C2,T2)
| ~ greater(C1,C2)
| ~ greater(T2,T1)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
greater(skolemFOFtoCNF_C1,skolemFOFtoCNF_C2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_19,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,[],[t11_FOL]) ).
fof(normalize_0_20,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(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T1) ),
inference(canonicalize,[],[mp17]) ).
fof(normalize_0_22,plain,
! [T1,T2,X] :
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T1) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X,Y] :
( X != Y
| ~ greater(X,Y) ),
inference(canonicalize,[],[mp6_1]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( X != Y
| ~ greater(X,Y) ),
inference(specialize,[],[normalize_0_23]) ).
cnf(refute_0_0,plain,
greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( T1 != T2
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ size(X,S1,T1)
| ~ size(X,S2,T2)
| S1 = S2 ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( T2 != T2
| ~ organization(X,T2)
| ~ size(X,S1,T2)
| ~ size(X,S2,T2)
| S1 = S2 ),
inference(subst,[],[refute_0_2:[bind(T1,$fot(T2))]]) ).
cnf(refute_0_4,plain,
T2 = T2,
introduced(tautology,[refl,[$fot(T2)]]) ).
cnf(refute_0_5,plain,
( ~ organization(X,T2)
| ~ size(X,S1,T2)
| ~ size(X,S2,T2)
| S1 = S2 ),
inference(resolve,[$cnf( $equal(T2,T2) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
| skolemFOFtoCNF_S1 = X_13 ),
inference(subst,[],[refute_0_5:[bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(X_13)),bind(T2,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_7,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ size(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| skolemFOFtoCNF_S1 = X_13 ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_9,plain,
( ~ size(skolemFOFtoCNF_X,X_13,skolemFOFtoCNF_T1)
| skolemFOFtoCNF_S1 = X_13 ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
( ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T1)
| skolemFOFtoCNF_S1 = skolemFOFtoCNF_S2 ),
inference(subst,[],[refute_0_9:[bind(X_13,$fot(skolemFOFtoCNF_S2))]]) ).
cnf(refute_0_11,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_12,plain,
organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_13,plain,
( ~ organization(X,T)
| time(T) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_14,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| time(skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_13:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_15,plain,
time(skolemFOFtoCNF_T2),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| time(skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_13:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_17,plain,
time(skolemFOFtoCNF_T1),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_8,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ time(T1)
| ~ time(T2)
| T1 = T2
| greater(T1,T2)
| greater(T2,T1) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
( ~ time(X_9)
| ~ time(skolemFOFtoCNF_T1)
| skolemFOFtoCNF_T1 = X_9
| greater(X_9,skolemFOFtoCNF_T1)
| greater(skolemFOFtoCNF_T1,X_9) ),
inference(subst,[],[refute_0_18:[bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_9))]]) ).
cnf(refute_0_20,plain,
( ~ time(X_9)
| skolemFOFtoCNF_T1 = X_9
| greater(X_9,skolemFOFtoCNF_T1)
| greater(skolemFOFtoCNF_T1,X_9) ),
inference(resolve,[$cnf( time(skolemFOFtoCNF_T1) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ time(skolemFOFtoCNF_T2)
| skolemFOFtoCNF_T1 = skolemFOFtoCNF_T2
| greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_20:[bind(X_9,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_22,plain,
( skolemFOFtoCNF_T1 = skolemFOFtoCNF_T2
| greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( time(skolemFOFtoCNF_T2) )],[refute_0_15,refute_0_21]) ).
cnf(refute_0_23,plain,
complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C2,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_24,plain,
complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C1,skolemFOFtoCNF_T1),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_25,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_26,plain,
( ~ complexity(X,C1,T1)
| ~ complexity(X,C2,T2)
| ~ greater(C1,C2)
| ~ greater(T2,T1)
| ~ organization(X,T1)
| ~ organization(X,T2)
| ~ reorganization_free(X,T1,T2) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_27,plain,
( ~ complexity(skolemFOFtoCNF_X,X_31,skolemFOFtoCNF_T1)
| ~ complexity(skolemFOFtoCNF_X,X_32,skolemFOFtoCNF_T2)
| ~ greater(X_31,X_32)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_26:[bind(C1,$fot(X_31)),bind(C2,$fot(X_32)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_28,plain,
( ~ complexity(skolemFOFtoCNF_X,X_31,skolemFOFtoCNF_T1)
| ~ complexity(skolemFOFtoCNF_X,X_32,skolemFOFtoCNF_T2)
| ~ greater(X_31,X_32)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ complexity(skolemFOFtoCNF_X,X_31,skolemFOFtoCNF_T1)
| ~ complexity(skolemFOFtoCNF_X,X_32,skolemFOFtoCNF_T2)
| ~ greater(X_31,X_32)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_8,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ complexity(skolemFOFtoCNF_X,X_31,skolemFOFtoCNF_T1)
| ~ complexity(skolemFOFtoCNF_X,X_32,skolemFOFtoCNF_T2)
| ~ greater(X_31,X_32)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_12,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ complexity(skolemFOFtoCNF_X,X_37,skolemFOFtoCNF_T2)
| ~ complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C1,skolemFOFtoCNF_T1)
| ~ greater(skolemFOFtoCNF_C1,X_37)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_30:[bind(X_31,$fot(skolemFOFtoCNF_C1)),bind(X_32,$fot(X_37))]]) ).
cnf(refute_0_32,plain,
( ~ complexity(skolemFOFtoCNF_X,X_37,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_C1,X_37)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C1,skolemFOFtoCNF_T1) )],[refute_0_24,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C2,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_C1,skolemFOFtoCNF_C2)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_32:[bind(X_37,$fot(skolemFOFtoCNF_C2))]]) ).
cnf(refute_0_34,plain,
( ~ greater(skolemFOFtoCNF_C1,skolemFOFtoCNF_C2)
| ~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( complexity(skolemFOFtoCNF_X,skolemFOFtoCNF_C2,skolemFOFtoCNF_T2) )],[refute_0_23,refute_0_33]) ).
cnf(refute_0_35,plain,
greater(skolemFOFtoCNF_C1,skolemFOFtoCNF_C2),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_36,plain,
~ greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_C1,skolemFOFtoCNF_C2) )],[refute_0_35,refute_0_34]) ).
cnf(refute_0_37,plain,
( skolemFOFtoCNF_T1 = skolemFOFtoCNF_T2
| greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_22,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ 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,[],[normalize_0_20]) ).
cnf(refute_0_39,plain,
( ~ greater(X_21,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,X_19)
| ~ organization(skolemFOFtoCNF_X,X_21)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,X_21)
| ~ size(skolemFOFtoCNF_X,X_19,X_21)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) ),
inference(subst,[],[refute_0_38:[bind(S1,$fot(skolemFOFtoCNF_S2)),bind(S2,$fot(X_19)),bind(T1,$fot(skolemFOFtoCNF_T2)),bind(T2,$fot(X_21)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_40,plain,
( ~ greater(X_21,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,X_19)
| ~ organization(skolemFOFtoCNF_X,X_21)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,X_21)
| ~ size(skolemFOFtoCNF_X,X_19,X_21) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) )],[refute_0_11,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ greater(X_21,skolemFOFtoCNF_T2)
| ~ greater(skolemFOFtoCNF_S2,X_19)
| ~ organization(skolemFOFtoCNF_X,X_21)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,X_21)
| ~ size(skolemFOFtoCNF_X,X_19,X_21) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T2) )],[refute_0_12,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1)
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_41:[bind(X_19,$fot(skolemFOFtoCNF_S1)),bind(X_21,$fot(skolemFOFtoCNF_T1))]]) ).
cnf(refute_0_43,plain,
( ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| ~ greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) )],[refute_0_1,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_0,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_8,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ reorganization_free(X,T1,T2)
| reorganization_free(X,T2,T1) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_47,plain,
( ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2)
| reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) ),
inference(subst,[],[refute_0_46:[bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_48,plain,
reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_47]) ).
cnf(refute_0_49,plain,
~ greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2),
inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_48,refute_0_45]) ).
cnf(refute_0_50,plain,
skolemFOFtoCNF_T1 = skolemFOFtoCNF_T2,
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_37,refute_0_49]) ).
cnf(refute_0_51,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_52,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_53,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( skolemFOFtoCNF_T1 != skolemFOFtoCNF_T2
| skolemFOFtoCNF_T2 = skolemFOFtoCNF_T1 ),
inference(subst,[],[refute_0_53:[bind(X0,$fot(skolemFOFtoCNF_T1)),bind(Y0,$fot(skolemFOFtoCNF_T2))]]) ).
cnf(refute_0_55,plain,
skolemFOFtoCNF_T2 = skolemFOFtoCNF_T1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_T1,skolemFOFtoCNF_T2) )],[refute_0_50,refute_0_54]) ).
cnf(refute_0_56,plain,
( skolemFOFtoCNF_T2 != skolemFOFtoCNF_T1
| ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
| size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T1) ),
introduced(tautology,[equality,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) ),[2],$fot(skolemFOFtoCNF_T1)]]) ).
cnf(refute_0_57,plain,
( ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
| size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T1) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_T2,skolemFOFtoCNF_T1) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T1),
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) )],[refute_0_11,refute_0_57]) ).
cnf(refute_0_59,plain,
skolemFOFtoCNF_S1 = skolemFOFtoCNF_S2,
inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S2,skolemFOFtoCNF_T1) )],[refute_0_58,refute_0_10]) ).
cnf(refute_0_60,plain,
( skolemFOFtoCNF_S1 != skolemFOFtoCNF_S2
| skolemFOFtoCNF_S2 = skolemFOFtoCNF_S1 ),
inference(subst,[],[refute_0_53:[bind(X0,$fot(skolemFOFtoCNF_S1)),bind(Y0,$fot(skolemFOFtoCNF_S2))]]) ).
cnf(refute_0_61,plain,
skolemFOFtoCNF_S2 = skolemFOFtoCNF_S1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_S1,skolemFOFtoCNF_S2) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( skolemFOFtoCNF_S2 != skolemFOFtoCNF_S1
| ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1) ),
introduced(tautology,[equality,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) ),[0],$fot(skolemFOFtoCNF_S1)]]) ).
cnf(refute_0_63,plain,
( ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
| greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_0,refute_0_63]) ).
cnf(refute_0_65,plain,
( X != Y
| ~ greater(X,Y) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_66,plain,
( Y != Y
| ~ greater(Y,Y) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(Y))]]) ).
cnf(refute_0_67,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_68,plain,
~ greater(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_67,refute_0_66]) ).
cnf(refute_0_69,plain,
~ greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1),
inference(subst,[],[refute_0_68:[bind(Y,$fot(skolemFOFtoCNF_S1))]]) ).
cnf(refute_0_70,plain,
$false,
inference(resolve,[$cnf( greater(skolemFOFtoCNF_S1,skolemFOFtoCNF_S1) )],[refute_0_64,refute_0_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT014+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.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 11:20:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37
%------------------------------------------------------------------------------