TSTP Solution File: LCL638+1.001 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 12:53:30 EDT 2022
% Result : Theorem 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 57 ( 11 unt; 0 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 544 ( 283 ~; 201 |; 56 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 161 ( 0 sgn 120 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ~ p1(Y) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) )
| ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ( ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ~ p1(Y) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) ) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) ) )
=> ! [Y] :
( ( ~ ~ r1(X,Y)
& ~ p1(Y) )
=> ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ( ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ~ p1(Y) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) )
& p1(Y) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) ) )
& ! [X] :
( ~ r1(Y,X)
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ p1(Y) ) ) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ~ ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) )
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) )
& ~ ~ ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| $false ) ) )
=> ! [Y] :
( ( ~ ~ r1(X,Y)
& ~ p1(Y) )
=> ~ ! [X] :
( ~ r1(Y,X)
| p1(X) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) )
& ! [Y] :
( ~ r1(X,Y)
| ? [X] : r1(Y,X) )
& ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ? [Y] :
( p1(Y)
& r1(X,Y) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| ? [Y] :
( ~ p1(Y)
& r1(X,Y) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) )
& ! [Y] :
( ~ r1(X,Y)
| ? [X] :
( r1(Y,X)
& ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) ) )
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ? [X] :
( p1(X)
& r1(Y,X) ) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ? [Y] :
( ~ p1(Y)
& r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] : r1(Y,X) )
& ! [Y] :
( ~ p1(Y)
| ~ r1(skolemFOFtoCNF_X,Y)
| ! [X] :
( ~ r1(Y,X)
| ? [Y] :
( p1(Y)
& r1(X,Y) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| ? [Y] :
( ~ p1(Y)
& r1(X,Y) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) )
& ! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] :
( r1(Y,X)
& ! [Y] :
( ~ p1(Y)
| ~ r1(X,Y) ) )
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ? [X] :
( p1(X)
& r1(Y,X) ) ) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [Y] :
( ~ p1(Y)
& r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| p1(X) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ~ p1(skolemFOFtoCNF_Y)
& r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& ! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(X) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(X) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_7,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] : r1(Y,X) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] : r1(Y,X) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| r1(Y,skolemFOFtoCNF_X_1(Y)) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| ? [Y] :
( ~ p1(Y)
& r1(X,Y) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y)
| ! [X] :
( ~ r1(Y,X)
| ? [Y] :
( ~ p1(Y)
& r1(X,Y) ) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ( ~ p1(skolemFOFtoCNF_Y_2(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y) )
& ( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y)
| r1(X,skolemFOFtoCNF_Y_2(X)) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
~ p1(skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_15,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
! [Y] :
( ~ r1(skolemFOFtoCNF_X,Y)
| ? [X] :
( ~ p1(X)
& r1(Y,X) )
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| p1(Y) ) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y,Y0] :
( ( ~ p1(skolemFOFtoCNF_X_2(Y))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y0) )
& ( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y0)
| r1(Y,skolemFOFtoCNF_X_2(Y)) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Y,Y0] :
( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y0)
| r1(Y,skolemFOFtoCNF_X_2(Y)) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ p1(skolemFOFtoCNF_Y_2(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_20,plain,
! [X,Y,Y0] :
( ~ p1(skolemFOFtoCNF_X_2(Y))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y0) ),
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_2,plain,
r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ r1(skolemFOFtoCNF_X,Y)
| r1(Y,skolemFOFtoCNF_X_1(Y)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_3:[bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_5,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y)
| r1(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_7,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_8,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| p1(skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( p1(skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_8]) ).
cnf(refute_0_10,plain,
~ p1(skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y0)
| r1(Y,skolemFOFtoCNF_X_2(Y)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_13,plain,
( ~ r1(X_37,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,X_37)
| ~ r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| r1(X_37,skolemFOFtoCNF_X_2(X_37)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))),bind(Y,$fot(X_37)),bind(Y0,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_14,plain,
( ~ r1(X_37,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,X_37)
| p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| r1(X_37,skolemFOFtoCNF_X_2(X_37)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ p1(skolemFOFtoCNF_Y_2(X))
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_16,plain,
( ~ p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_17,plain,
( ~ p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| p1(skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)) )],[refute_0_5,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_17]) ).
cnf(refute_0_19,plain,
~ p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y) )],[refute_0_18,refute_0_10]) ).
cnf(refute_0_20,plain,
( ~ r1(X_37,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,X_37)
| r1(X_37,skolemFOFtoCNF_X_2(X_37)) ),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_20:[bind(X_37,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_22,plain,
( ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)) )],[refute_0_5,refute_0_21]) ).
cnf(refute_0_23,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_22]) ).
cnf(refute_0_24,plain,
p1(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)) )],[refute_0_23,refute_0_1]) ).
cnf(refute_0_25,plain,
( ~ p1(skolemFOFtoCNF_X_2(Y))
| ~ r1(X,Y0)
| ~ r1(Y,X)
| ~ r1(skolemFOFtoCNF_X,Y)
| p1(Y0) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_26,plain,
( ~ p1(skolemFOFtoCNF_X_2(X_31))
| ~ r1(X_31,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,X_31)
| ~ r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))),bind(Y,$fot(X_31)),bind(Y0,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_27,plain,
( ~ p1(skolemFOFtoCNF_X_2(X_31))
| ~ r1(X_31,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,X_31)
| p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) )],[refute_0_11,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ p1(skolemFOFtoCNF_X_2(X_31))
| ~ r1(X_31,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,X_31) ),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y))) )],[refute_0_27,refute_0_19]) ).
cnf(refute_0_29,plain,
( ~ p1(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_28:[bind(X_31,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_30,plain,
( ~ p1(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_X_1(skolemFOFtoCNF_Y)) )],[refute_0_5,refute_0_29]) ).
cnf(refute_0_31,plain,
~ p1(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_30]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_X_2(skolemFOFtoCNF_Y)) )],[refute_0_24,refute_0_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL638+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 09:42:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36
% 0.18/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.38
%------------------------------------------------------------------------------