%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sat Jul 16 05:25:27 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 6
% Syntax : Number of formulae : 79 ( 20 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 177 ( 52 ~; 103 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 112 ( 0 sgn 51 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(apart3,axiom,
! [X] : ~ convergent_lines(X,X) ).
fof(ax6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ) ).
fof(ceq3,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ) ).
fof(occu1,axiom,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ) ).
fof(oac1,axiom,
! [L,M,N] :
( ( convergent_lines(L,M)
& unorthogonal_lines(L,M) )
=> ( ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ) ) ).
fof(con,conjecture,
! [L,M,N] :
( unorthogonal_lines(L,M)
=> ( distinct_lines(L,N)
| unorthogonal_lines(M,N) ) ) ).
fof(subgoal_0,plain,
! [L,M,N] :
( ( unorthogonal_lines(L,M)
& ~ distinct_lines(L,N) )
=> unorthogonal_lines(M,N) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,M,N] :
( ( unorthogonal_lines(L,M)
& ~ distinct_lines(L,N) )
=> unorthogonal_lines(M,N) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [L,M,N] :
( ~ distinct_lines(L,N)
& ~ unorthogonal_lines(M,N)
& unorthogonal_lines(L,M) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N)
& ~ unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
& unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[ceq3]) ).
fof(normalize_0_4,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_6,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
~ unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
! [L,M,N] :
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ),
inference(canonicalize,[],[oac1]) ).
fof(normalize_0_10,plain,
! [L,M,N] :
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| ( convergent_lines(L,N)
& unorthogonal_lines(L,N) )
| ( convergent_lines(M,N)
& unorthogonal_lines(M,N) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [L,M,N] :
( ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| convergent_lines(L,N)
| convergent_lines(M,N) )
& ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| convergent_lines(L,N)
| unorthogonal_lines(M,N) )
& ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| convergent_lines(M,N)
| unorthogonal_lines(L,N) )
& ( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| unorthogonal_lines(L,N)
| unorthogonal_lines(M,N) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [L,M,N] :
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| convergent_lines(L,N)
| unorthogonal_lines(M,N) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] : ~ convergent_lines(X,X),
inference(canonicalize,[],[apart3]) ).
fof(normalize_0_14,plain,
! [X] : ~ convergent_lines(X,X),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
inference(canonicalize,[],[occu1]) ).
fof(normalize_0_16,plain,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
inference(specialize,[],[normalize_0_15]) ).
cnf(refute_0_0,plain,
~ distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_L)
| convergent_lines(skolemFOFtoCNF_N,Z)
| distinct_lines(skolemFOFtoCNF_L,Z) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_N)),bind(Y,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_3,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ convergent_lines(skolemFOFtoCNF_N,X_151)
| convergent_lines(X_151,Z)
| convergent_lines(skolemFOFtoCNF_N,Z) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_N)),bind(Y,$fot(X_151))]]) ).
cnf(refute_0_5,plain,
( ~ convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N)
| convergent_lines(skolemFOFtoCNF_L,Z)
| convergent_lines(skolemFOFtoCNF_N,Z) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_L)),bind(Y,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_6,plain,
~ unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_7,plain,
unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
( ~ convergent_lines(L,M)
| ~ unorthogonal_lines(L,M)
| convergent_lines(L,N)
| unorthogonal_lines(M,N) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| ~ unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_L,X_148)
| unorthogonal_lines(skolemFOFtoCNF_M,X_148) ),
inference(subst,[],[refute_0_8:[bind(L,$fot(skolemFOFtoCNF_L)),bind(M,$fot(skolemFOFtoCNF_M)),bind(N,$fot(X_148))]]) ).
cnf(refute_0_10,plain,
( ~ convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_L,X_148)
| unorthogonal_lines(skolemFOFtoCNF_M,X_148) ),
inference(resolve,[$cnf( unorthogonal_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
~ convergent_lines(X,X),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
~ convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_M),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_13,plain,
( ~ convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_L)
| convergent_lines(skolemFOFtoCNF_L,Z)
| convergent_lines(skolemFOFtoCNF_M,Z) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_M)),bind(Y,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_14,plain,
( ~ convergent_lines(X_94,X_93)
| convergent_lines(X_94,Z)
| distinct_lines(X_93,Z) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_94)),bind(Y,$fot(X_93))]]) ).
cnf(refute_0_15,plain,
( ~ convergent_lines(X_42,skolemFOFtoCNF_M)
| convergent_lines(X_42,Z)
| convergent_lines(skolemFOFtoCNF_M,Z) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_42)),bind(Y,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_16,plain,
( ~ convergent_lines(X_39,X_38)
| convergent_lines(X_38,Z)
| convergent_lines(X_39,Z) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_39)),bind(Y,$fot(X_38))]]) ).
cnf(refute_0_17,plain,
( ~ convergent_lines(skolemFOFtoCNF_N,X_32)
| convergent_lines(X_32,Z)
| convergent_lines(skolemFOFtoCNF_N,Z) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_N)),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_18,plain,
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_19,plain,
( convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
| unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_18:[bind(L,$fot(skolemFOFtoCNF_M)),bind(M,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_20,plain,
convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(resolve,[$cnf( unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_19,refute_0_6]) ).
cnf(refute_0_21,plain,
( ~ convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
| convergent_lines(skolemFOFtoCNF_M,X_31)
| convergent_lines(skolemFOFtoCNF_N,X_31) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_M)),bind(Y,$fot(skolemFOFtoCNF_N)),bind(Z,$fot(X_31))]]) ).
cnf(refute_0_22,plain,
( convergent_lines(skolemFOFtoCNF_M,X_31)
| convergent_lines(skolemFOFtoCNF_N,X_31) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( convergent_lines(skolemFOFtoCNF_M,X_32)
| convergent_lines(skolemFOFtoCNF_N,X_32) ),
inference(subst,[],[refute_0_22:[bind(X_31,$fot(X_32))]]) ).
cnf(refute_0_24,plain,
( convergent_lines(X_32,Z)
| convergent_lines(skolemFOFtoCNF_M,X_32)
| convergent_lines(skolemFOFtoCNF_N,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_N,X_32) )],[refute_0_23,refute_0_17]) ).
cnf(refute_0_25,plain,
( convergent_lines(X_39,X_38)
| convergent_lines(skolemFOFtoCNF_M,X_39)
| convergent_lines(skolemFOFtoCNF_N,X_38) ),
inference(subst,[],[refute_0_24:[bind(Z,$fot(X_38)),bind(X_32,$fot(X_39))]]) ).
cnf(refute_0_26,plain,
( convergent_lines(X_38,Z)
| convergent_lines(X_39,Z)
| convergent_lines(skolemFOFtoCNF_M,X_39)
| convergent_lines(skolemFOFtoCNF_N,X_38) ),
inference(resolve,[$cnf( convergent_lines(X_39,X_38) )],[refute_0_25,refute_0_16]) ).
cnf(refute_0_27,plain,
( convergent_lines(X_38,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_N,X_38) ),
inference(subst,[],[refute_0_26:[bind(Z,$fot(skolemFOFtoCNF_M)),bind(X_39,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_28,plain,
( convergent_lines(X_38,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_N,X_38) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_M) )],[refute_0_27,refute_0_12]) ).
cnf(refute_0_29,plain,
( convergent_lines(X_42,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_N,X_42) ),
inference(subst,[],[refute_0_28:[bind(X_38,$fot(X_42))]]) ).
cnf(refute_0_30,plain,
( convergent_lines(X_42,Z)
| convergent_lines(skolemFOFtoCNF_M,Z)
| convergent_lines(skolemFOFtoCNF_N,X_42) ),
inference(resolve,[$cnf( convergent_lines(X_42,skolemFOFtoCNF_M) )],[refute_0_29,refute_0_15]) ).
cnf(refute_0_31,plain,
( convergent_lines(X_94,X_93)
| convergent_lines(skolemFOFtoCNF_M,X_93)
| convergent_lines(skolemFOFtoCNF_N,X_94) ),
inference(subst,[],[refute_0_30:[bind(Z,$fot(X_93)),bind(X_42,$fot(X_94))]]) ).
cnf(refute_0_32,plain,
( convergent_lines(X_94,Z)
| convergent_lines(skolemFOFtoCNF_M,X_93)
| convergent_lines(skolemFOFtoCNF_N,X_94)
| distinct_lines(X_93,Z) ),
inference(resolve,[$cnf( convergent_lines(X_94,X_93) )],[refute_0_31,refute_0_14]) ).
cnf(refute_0_33,plain,
( convergent_lines(skolemFOFtoCNF_M,X_93)
| convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| distinct_lines(X_93,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_32:[bind(Z,$fot(skolemFOFtoCNF_N)),bind(X_94,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_34,plain,
~ convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_35,plain,
( convergent_lines(skolemFOFtoCNF_M,X_93)
| distinct_lines(X_93,skolemFOFtoCNF_N) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_N) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_L)
| distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_35:[bind(X_93,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_37,plain,
convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_L),
inference(resolve,[$cnf( distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) )],[refute_0_36,refute_0_0]) ).
cnf(refute_0_38,plain,
( convergent_lines(skolemFOFtoCNF_L,Z)
| convergent_lines(skolemFOFtoCNF_M,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_L) )],[refute_0_37,refute_0_13]) ).
cnf(refute_0_39,plain,
( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_M) ),
inference(subst,[],[refute_0_38:[bind(Z,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_40,plain,
convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_M) )],[refute_0_39,refute_0_12]) ).
cnf(refute_0_41,plain,
( convergent_lines(skolemFOFtoCNF_L,X_148)
| unorthogonal_lines(skolemFOFtoCNF_M,X_148) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_40,refute_0_10]) ).
cnf(refute_0_42,plain,
( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N)
| unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_41:[bind(X_148,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_43,plain,
convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(resolve,[$cnf( unorthogonal_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_42,refute_0_6]) ).
cnf(refute_0_44,plain,
( convergent_lines(skolemFOFtoCNF_L,Z)
| convergent_lines(skolemFOFtoCNF_N,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) )],[refute_0_43,refute_0_5]) ).
cnf(refute_0_45,plain,
( convergent_lines(skolemFOFtoCNF_L,X_151)
| convergent_lines(skolemFOFtoCNF_N,X_151) ),
inference(subst,[],[refute_0_44:[bind(Z,$fot(X_151))]]) ).
cnf(refute_0_46,plain,
( convergent_lines(X_151,Z)
| convergent_lines(skolemFOFtoCNF_L,X_151)
| convergent_lines(skolemFOFtoCNF_N,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_N,X_151) )],[refute_0_45,refute_0_4]) ).
cnf(refute_0_47,plain,
( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L)
| convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_L) ),
inference(subst,[],[refute_0_46:[bind(Z,$fot(skolemFOFtoCNF_L)),bind(X_151,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_48,plain,
~ convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L),
inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_L))]]) ).
cnf(refute_0_49,plain,
convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_L),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_L) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( convergent_lines(skolemFOFtoCNF_N,Z)
| distinct_lines(skolemFOFtoCNF_L,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_L) )],[refute_0_49,refute_0_2]) ).
cnf(refute_0_51,plain,
( convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_N)
| distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_50:[bind(Z,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_52,plain,
convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_N),
inference(resolve,[$cnf( distinct_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) )],[refute_0_51,refute_0_0]) ).
cnf(refute_0_53,plain,
$false,
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_N,skolemFOFtoCNF_N) )],[refute_0_52,refute_0_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n018.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 : Sat Jun 18 00:21:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41
% 0.19/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------