TSTP Solution File: SET804+4 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 03:37:19 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 74 ( 22 unt; 0 def)
% Number of atoms : 203 ( 39 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 226 ( 97 ~; 72 |; 38 &)
% ( 10 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 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; 0-3 aty)
% Number of variables : 122 ( 2 sgn 75 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lower_bound,axiom,
! [R,E,M] :
( lower_bound(M,R,E)
<=> ! [X] :
( member(X,E)
=> apply(R,M,X) ) ) ).
fof(least,axiom,
! [R,E,M] :
( least(M,R,E)
<=> ( member(M,E)
& ! [X] :
( member(X,E)
=> apply(R,M,X) ) ) ) ).
fof(min,axiom,
! [R,E,M] :
( min(M,R,E)
<=> ( member(M,E)
& ! [X] :
( ( member(X,E)
& apply(R,X,M) )
=> M = X ) ) ) ).
fof(thIV16,conjecture,
! [R,E] :
( order(R,E)
=> ! [M1,M2] :
( ( min(M1,R,E)
& min(M2,R,E)
& M1 != M2 )
=> ~ ? [M] : least(M,R,E) ) ) ).
fof(subgoal_0,plain,
! [R,E] :
( order(R,E)
=> ! [M1,M2] :
( ( min(M1,R,E)
& min(M2,R,E)
& M1 != M2 )
=> ! [M] : ~ least(M,R,E) ) ),
inference(strip,[],[thIV16]) ).
fof(negate_0_0,plain,
~ ! [R,E] :
( order(R,E)
=> ! [M1,M2] :
( ( min(M1,R,E)
& min(M2,R,E)
& M1 != M2 )
=> ! [M] : ~ least(M,R,E) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [E,R] :
( order(R,E)
& ? [M1,M2] :
( M1 != M2
& min(M1,R,E)
& min(M2,R,E)
& ? [M] : least(M,R,E) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( order(skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& ? [M1,M2] :
( M1 != M2
& min(M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& min(M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& ? [M] : least(M,skolemFOFtoCNF_R,skolemFOFtoCNF_E) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [M1,M2] :
( M1 != M2
& min(M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& min(M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& ? [M] : least(M,skolemFOFtoCNF_R,skolemFOFtoCNF_E) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( skolemFOFtoCNF_M1 != skolemFOFtoCNF_M2
& min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
& ? [M] : least(M,skolemFOFtoCNF_R,skolemFOFtoCNF_E) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [E,M,R] :
( ~ min(M,R,E)
<=> ( ~ member(M,E)
| ? [X] :
( M != X
& apply(R,X,M)
& member(X,E) ) ) ),
inference(canonicalize,[],[min]) ).
fof(normalize_0_6,plain,
! [E,M,R] :
( ~ min(M,R,E)
<=> ( ~ member(M,E)
| ? [X] :
( M != X
& apply(R,X,M)
& member(X,E) ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [E,M,R,X] :
( ( ~ min(M,R,E)
| member(M,E) )
& ( M != skolemFOFtoCNF_X_7(E,M,R)
| ~ member(M,E)
| min(M,R,E) )
& ( ~ member(M,E)
| apply(R,skolemFOFtoCNF_X_7(E,M,R),M)
| min(M,R,E) )
& ( ~ member(M,E)
| member(skolemFOFtoCNF_X_7(E,M,R),E)
| min(M,R,E) )
& ( ~ apply(R,X,M)
| ~ member(X,E)
| ~ min(M,R,E)
| M = X ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [E,M,R] :
( ~ min(M,R,E)
| member(M,E) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
? [M] : least(M,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
least(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(skolemize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [E,M,R] :
( ~ least(M,R,E)
<=> ( ~ member(M,E)
| ? [X] :
( ~ apply(R,M,X)
& member(X,E) ) ) ),
inference(canonicalize,[],[least]) ).
fof(normalize_0_12,plain,
! [E,M,R] :
( ~ lower_bound(M,R,E)
<=> ? [X] :
( ~ apply(R,M,X)
& member(X,E) ) ),
inference(canonicalize,[],[lower_bound]) ).
fof(normalize_0_13,plain,
! [E,M,R] :
( ~ lower_bound(M,R,E)
<=> ? [X] :
( ~ apply(R,M,X)
& member(X,E) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [E,M,R] :
( ~ least(M,R,E)
<=> ( ~ lower_bound(M,R,E)
| ~ member(M,E) ) ),
inference(simplify,[],[normalize_0_11,normalize_0_13]) ).
fof(normalize_0_15,plain,
! [E,M,R] :
( ~ least(M,R,E)
<=> ( ~ lower_bound(M,R,E)
| ~ member(M,E) ) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [E,M,R] :
( ( ~ least(M,R,E)
| lower_bound(M,R,E) )
& ( ~ least(M,R,E)
| member(M,E) )
& ( ~ lower_bound(M,R,E)
| ~ member(M,E)
| least(M,R,E) ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [E,M,R] :
( ~ least(M,R,E)
| lower_bound(M,R,E) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [E,M,R,X] :
( ( ~ apply(R,M,skolemFOFtoCNF_X_5(E,M,R))
| lower_bound(M,R,E) )
& ( lower_bound(M,R,E)
| member(skolemFOFtoCNF_X_5(E,M,R),E) )
& ( ~ lower_bound(M,R,E)
| ~ member(X,E)
| apply(R,M,X) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_19,plain,
! [E,M,R,X] :
( ~ lower_bound(M,R,E)
| ~ member(X,E)
| apply(R,M,X) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_21,plain,
! [E,M,R,X] :
( ~ apply(R,X,M)
| ~ member(X,E)
| ~ min(M,R,E)
| M = X ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_22,plain,
! [E,M,R] :
( ~ least(M,R,E)
| member(M,E) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_23,plain,
skolemFOFtoCNF_M1 != skolemFOFtoCNF_M2,
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( ~ min(M,R,E)
| member(M,E) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_2,plain,
( ~ min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| member(skolemFOFtoCNF_M2,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_1:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M2)),bind(R,$fot(skolemFOFtoCNF_R))]]) ).
cnf(refute_0_3,plain,
member(skolemFOFtoCNF_M2,skolemFOFtoCNF_E),
inference(resolve,[$cnf( min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
least(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ least(M,R,E)
| lower_bound(M,R,E) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_6,plain,
( ~ least(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| lower_bound(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_5:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M_2)),bind(R,$fot(skolemFOFtoCNF_R))]]) ).
cnf(refute_0_7,plain,
lower_bound(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(resolve,[$cnf( least(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ lower_bound(M,R,E)
| ~ member(X,E)
| apply(R,M,X) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_9,plain,
( ~ lower_bound(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| ~ member(X_168,skolemFOFtoCNF_E)
| apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,X_168) ),
inference(subst,[],[refute_0_8:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M_2)),bind(R,$fot(skolemFOFtoCNF_R)),bind(X,$fot(X_168))]]) ).
cnf(refute_0_10,plain,
( ~ member(X_168,skolemFOFtoCNF_E)
| apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,X_168) ),
inference(resolve,[$cnf( lower_bound(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ member(skolemFOFtoCNF_M2,skolemFOFtoCNF_E)
| apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M2) ),
inference(subst,[],[refute_0_10:[bind(X_168,$fot(skolemFOFtoCNF_M2))]]) ).
cnf(refute_0_12,plain,
apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M2),
inference(resolve,[$cnf( member(skolemFOFtoCNF_M2,skolemFOFtoCNF_E) )],[refute_0_3,refute_0_11]) ).
cnf(refute_0_13,plain,
min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_14,plain,
( ~ min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_1:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M1)),bind(R,$fot(skolemFOFtoCNF_R))]]) ).
cnf(refute_0_15,plain,
member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E),
inference(resolve,[$cnf( min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E)
| apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M1) ),
inference(subst,[],[refute_0_10:[bind(X_168,$fot(skolemFOFtoCNF_M1))]]) ).
cnf(refute_0_17,plain,
apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M1),
inference(resolve,[$cnf( member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ apply(R,X,M)
| ~ member(X,E)
| ~ min(M,R,E)
| M = X ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_19,plain,
( ~ apply(skolemFOFtoCNF_R,X_274,skolemFOFtoCNF_M1)
| ~ member(X_274,skolemFOFtoCNF_E)
| ~ min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M1 = X_274 ),
inference(subst,[],[refute_0_18:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M1)),bind(R,$fot(skolemFOFtoCNF_R)),bind(X,$fot(X_274))]]) ).
cnf(refute_0_20,plain,
( ~ apply(skolemFOFtoCNF_R,X_274,skolemFOFtoCNF_M1)
| ~ member(X_274,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M1 = X_274 ),
inference(resolve,[$cnf( min(skolemFOFtoCNF_M1,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_13,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M1)
| ~ member(skolemFOFtoCNF_M_2,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M1 = skolemFOFtoCNF_M_2 ),
inference(subst,[],[refute_0_20:[bind(X_274,$fot(skolemFOFtoCNF_M_2))]]) ).
cnf(refute_0_22,plain,
( ~ member(skolemFOFtoCNF_M_2,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M1 = skolemFOFtoCNF_M_2 ),
inference(resolve,[$cnf( apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M1) )],[refute_0_17,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ least(M,R,E)
| member(M,E) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_24,plain,
( ~ least(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| member(skolemFOFtoCNF_M_2,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_23:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M_2)),bind(R,$fot(skolemFOFtoCNF_R))]]) ).
cnf(refute_0_25,plain,
member(skolemFOFtoCNF_M_2,skolemFOFtoCNF_E),
inference(resolve,[$cnf( least(skolemFOFtoCNF_M_2,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_4,refute_0_24]) ).
cnf(refute_0_26,plain,
skolemFOFtoCNF_M1 = skolemFOFtoCNF_M_2,
inference(resolve,[$cnf( member(skolemFOFtoCNF_M_2,skolemFOFtoCNF_E) )],[refute_0_25,refute_0_22]) ).
cnf(refute_0_27,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_28,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_29,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( skolemFOFtoCNF_M1 != skolemFOFtoCNF_M_2
| skolemFOFtoCNF_M_2 = skolemFOFtoCNF_M1 ),
inference(subst,[],[refute_0_29:[bind(X0,$fot(skolemFOFtoCNF_M1)),bind(Y,$fot(skolemFOFtoCNF_M_2))]]) ).
cnf(refute_0_31,plain,
skolemFOFtoCNF_M_2 = skolemFOFtoCNF_M1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_M1,skolemFOFtoCNF_M_2) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
( skolemFOFtoCNF_M_2 != skolemFOFtoCNF_M1
| ~ apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M2)
| apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M1,skolemFOFtoCNF_M2) ),
introduced(tautology,[equality,[$cnf( apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M2) ),[1],$fot(skolemFOFtoCNF_M1)]]) ).
cnf(refute_0_33,plain,
( ~ apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M2)
| apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M1,skolemFOFtoCNF_M2) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_M_2,skolemFOFtoCNF_M1) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M1,skolemFOFtoCNF_M2),
inference(resolve,[$cnf( apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M_2,skolemFOFtoCNF_M2) )],[refute_0_12,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ apply(skolemFOFtoCNF_R,X_274,skolemFOFtoCNF_M2)
| ~ member(X_274,skolemFOFtoCNF_E)
| ~ min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M2 = X_274 ),
inference(subst,[],[refute_0_18:[bind(E,$fot(skolemFOFtoCNF_E)),bind(M,$fot(skolemFOFtoCNF_M2)),bind(R,$fot(skolemFOFtoCNF_R)),bind(X,$fot(X_274))]]) ).
cnf(refute_0_36,plain,
( ~ apply(skolemFOFtoCNF_R,X_274,skolemFOFtoCNF_M2)
| ~ member(X_274,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M2 = X_274 ),
inference(resolve,[$cnf( min(skolemFOFtoCNF_M2,skolemFOFtoCNF_R,skolemFOFtoCNF_E) )],[refute_0_0,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M1,skolemFOFtoCNF_M2)
| ~ member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M2 = skolemFOFtoCNF_M1 ),
inference(subst,[],[refute_0_36:[bind(X_274,$fot(skolemFOFtoCNF_M1))]]) ).
cnf(refute_0_38,plain,
( ~ member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E)
| skolemFOFtoCNF_M2 = skolemFOFtoCNF_M1 ),
inference(resolve,[$cnf( apply(skolemFOFtoCNF_R,skolemFOFtoCNF_M1,skolemFOFtoCNF_M2) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
skolemFOFtoCNF_M2 = skolemFOFtoCNF_M1,
inference(resolve,[$cnf( member(skolemFOFtoCNF_M1,skolemFOFtoCNF_E) )],[refute_0_15,refute_0_38]) ).
cnf(refute_0_40,plain,
skolemFOFtoCNF_M1 != skolemFOFtoCNF_M2,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_M2 != skolemFOFtoCNF_M1
| skolemFOFtoCNF_M1 = skolemFOFtoCNF_M2 ),
inference(subst,[],[refute_0_29:[bind(X0,$fot(skolemFOFtoCNF_M2)),bind(Y,$fot(skolemFOFtoCNF_M1))]]) ).
cnf(refute_0_42,plain,
skolemFOFtoCNF_M2 != skolemFOFtoCNF_M1,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_M1,skolemFOFtoCNF_M2) )],[refute_0_41,refute_0_40]) ).
cnf(refute_0_43,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_M2,skolemFOFtoCNF_M1) )],[refute_0_39,refute_0_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 : Sun Jul 10 12:56:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45
% 0.18/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46
%------------------------------------------------------------------------------