TSTP Solution File: LCL686+1.001 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 12:55:13 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 51 ( 12 unt; 0 def)
% Number of atoms : 273 ( 0 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 393 ( 171 ~; 143 |; 74 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 99 ( 0 sgn 59 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X] : r1(X,X) ).
fof(transitivity,axiom,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ) ).
fof(main,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p3(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ) ).
fof(subgoal_0,plain,
! [X] :
( ~ ! [Y] :
( ~ r1(X,Y)
| ~ p3(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
inference(strip,[],[main]) ).
fof(negate_0_0,plain,
~ ! [X] :
( ~ ! [Y] :
( ~ r1(X,Y)
| ~ p3(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
=> ! [Y] :
( ~ ~ r1(X,Y)
=> ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| $false )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p3(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X] : r1(X,X),
inference(canonicalize,[],[reflexivity]) ).
fof(normalize_0_1,plain,
! [X] : r1(X,X),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [X] :
( ? [Y] :
( r1(X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] : r1(X,Y)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( p1(Y)
| p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) )
& ? [Y] :
( p3(Y)
& r1(X,Y)
& ? [X] :
( p1(X)
& r1(Y,X) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
( ? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] : r1(X,Y)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( p1(Y)
| p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) )
& ? [Y] :
( p3(Y)
& r1(skolemFOFtoCNF_X,Y)
& ? [X] :
( p1(X)
& r1(Y,X) ) ) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [Y] :
( r1(skolemFOFtoCNF_X,Y)
& ! [X] :
( ~ r1(Y,X)
| ( ? [Y] : r1(X,Y)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( p1(Y)
| p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
( r1(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& ! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] : r1(X,Y)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( p1(Y)
| p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] : r1(X,Y)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( p1(Y)
| p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| ( ? [Y] : r1(X,Y)
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( r1(X,Y)
& ( ~ p1(Y)
| ~ p2(Y) )
& ( p1(Y)
| p2(Y) ) )
& ! [Y] :
( ~ r1(X,Y)
| ( ( ~ p1(Y)
| p2(Y) )
& ( ~ p2(Y)
| p1(Y) ) ) ) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ( ~ p3(skolemFOFtoCNF_Y_2(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_3(X)) )
& ( ~ p1(skolemFOFtoCNF_Y_1(X))
| ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) )
& ( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) )
& ( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) )
& ( ~ p2(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p1(Y) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ p1(skolemFOFtoCNF_Y_1(X))
| ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_11,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[transitivity]) ).
fof(normalize_0_12,plain,
! [X,Y,Z] :
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ p2(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p1(Y) ),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
r1(X,X),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_2,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| r1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ p1(skolemFOFtoCNF_Y_1(X))
| ~ p2(skolemFOFtoCNF_Y_1(X))
| ~ r1(skolemFOFtoCNF_Y,X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_7,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_9,plain,
r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ r1(X,Y)
| ~ r1(Y,Z)
| r1(X,Z) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
( ~ r1(X_7,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| ~ r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| r1(X_7,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_7)),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),bind(Z,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_12,plain,
( ~ r1(X_7,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(X_7,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y),skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_12:[bind(X_7,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_14,plain,
r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ p1(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p2(Y) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_17,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ r1(skolemFOFtoCNF_Y,X)
| p1(skolemFOFtoCNF_Y_1(X))
| p2(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_20,plain,
( ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))]]) ).
cnf(refute_0_21,plain,
( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)) )],[refute_0_4,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ p2(Y)
| ~ r1(X,Y)
| ~ r1(skolemFOFtoCNF_Y,X)
| p1(Y) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_23,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))))]]) ).
cnf(refute_0_24,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| ~ r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_14,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y)))
| p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_24]) ).
cnf(refute_0_26,plain,
p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_18]) ).
cnf(refute_0_28,plain,
~ p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))),
inference(resolve,[$cnf( p2(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_27,refute_0_7]) ).
cnf(refute_0_29,plain,
$false,
inference(resolve,[$cnf( p1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_Y))) )],[refute_0_26,refute_0_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL686+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 00:36:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44
%------------------------------------------------------------------------------