%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO231+3 : 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 : Sat Jul 16 05:25:41 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 90 ( 15 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 175 ( 75 ~; 74 |; 12 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 153 ( 4 sgn 76 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a1_defns,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ) ).
fof(a4_defns,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ) ).
fof(a5_defns,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ) ).
fof(ax6_basics,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ) ).
fof(ax8_basics,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ).
fof(ax9_basics,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ) ).
fof(ax11_basics,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ).
fof(con,conjecture,
! [L,M,N] :
( ( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
=> equally_directed_opposite_lines(M,N) ) ).
fof(subgoal_0,plain,
! [L,M,N] :
( ( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
=> equally_directed_opposite_lines(M,N) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [L,M,N] :
( ( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
=> equally_directed_opposite_lines(M,N) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
<=> unequally_directed_lines(X,Y) ),
inference(canonicalize,[],[a4_defns]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
<=> unequally_directed_lines(X,Y) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) )
& ( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [L,M,N] :
( ~ equally_directed_opposite_lines(M,N)
& equally_directed_lines(L,N)
& equally_directed_opposite_lines(L,M) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ equally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
& equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N)
& equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
~ equally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_8,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax9_basics]) ).
fof(normalize_0_9,plain,
! [L,M] :
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax11_basics]) ).
fof(normalize_0_11,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a1_defns]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
<=> ~ unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) )
& ( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[a5_defns]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
<=> unequally_directed_opposite_lines(X,Y) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) )
& ( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_22,plain,
! [X,Y] :
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_23,plain,
! [X,Y] :
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_24,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax8_basics]) ).
fof(normalize_0_25,plain,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[ax6_basics]) ).
fof(normalize_0_27,plain,
! [L,M,N] :
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ equally_directed_lines(X,Y)
| ~ unequally_directed_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N)
| ~ unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_L)),bind(Y,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_2,plain,
~ equally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( equally_directed_lines(X,Y)
| unequally_directed_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( equally_directed_lines(X_41,X_40)
| unequally_directed_lines(X_41,X_40) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_41)),bind(Y,$fot(X_40))]]) ).
cnf(refute_0_5,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
~ left_convergent_lines(L,M),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_7,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M))
| left_convergent_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( left_convergent_lines(L,M) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
~ left_convergent_lines(L,reverse_line(M)),
inference(subst,[],[refute_0_6:[bind(M,$fot(reverse_line(M)))]]) ).
cnf(refute_0_9,plain,
( ~ unequally_directed_lines(L,M)
| ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(resolve,[$cnf( left_convergent_lines(L,reverse_line(M)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ unequally_directed_lines(X_26,M)
| ~ unequally_directed_lines(X_26,reverse_line(M)) ),
inference(subst,[],[refute_0_9:[bind(L,$fot(X_26))]]) ).
cnf(refute_0_11,plain,
( equally_directed_lines(X_26,reverse_line(M))
| unequally_directed_lines(X_26,reverse_line(M)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_26)),bind(Y,$fot(reverse_line(M)))]]) ).
cnf(refute_0_12,plain,
( ~ unequally_directed_lines(X_26,M)
| equally_directed_lines(X_26,reverse_line(M)) ),
inference(resolve,[$cnf( unequally_directed_lines(X_26,reverse_line(M)) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
( ~ unequally_directed_lines(X_41,X_40)
| equally_directed_lines(X_41,reverse_line(X_40)) ),
inference(subst,[],[refute_0_12:[bind(M,$fot(X_40)),bind(X_26,$fot(X_41))]]) ).
cnf(refute_0_14,plain,
( equally_directed_lines(X_41,X_40)
| equally_directed_lines(X_41,reverse_line(X_40)) ),
inference(resolve,[$cnf( unequally_directed_lines(X_41,X_40) )],[refute_0_4,refute_0_13]) ).
cnf(refute_0_15,plain,
( equally_directed_lines(X_122,X_123)
| equally_directed_lines(X_122,reverse_line(X_123)) ),
inference(subst,[],[refute_0_14:[bind(X_40,$fot(X_123)),bind(X_41,$fot(X_122))]]) ).
cnf(refute_0_16,plain,
( ~ equally_directed_lines(X_42,reverse_line(X_43))
| ~ unequally_directed_lines(X_42,reverse_line(X_43)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(X_42)),bind(Y,$fot(reverse_line(X_43)))]]) ).
cnf(refute_0_17,plain,
( ~ unequally_directed_opposite_lines(X,Y)
| unequally_directed_lines(X,reverse_line(Y)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_18,plain,
( ~ unequally_directed_opposite_lines(X_30,X_31)
| unequally_directed_lines(X_30,reverse_line(X_31)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(X_30)),bind(Y,$fot(X_31))]]) ).
cnf(refute_0_19,plain,
( equally_directed_opposite_lines(X,Y)
| unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_20,plain,
( equally_directed_opposite_lines(X_30,X_31)
| unequally_directed_opposite_lines(X_30,X_31) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(X_30)),bind(Y,$fot(X_31))]]) ).
cnf(refute_0_21,plain,
( equally_directed_opposite_lines(X_30,X_31)
| unequally_directed_lines(X_30,reverse_line(X_31)) ),
inference(resolve,[$cnf( unequally_directed_opposite_lines(X_30,X_31) )],[refute_0_20,refute_0_18]) ).
cnf(refute_0_22,plain,
( equally_directed_opposite_lines(X_42,X_43)
| unequally_directed_lines(X_42,reverse_line(X_43)) ),
inference(subst,[],[refute_0_21:[bind(X_30,$fot(X_42)),bind(X_31,$fot(X_43))]]) ).
cnf(refute_0_23,plain,
( ~ equally_directed_lines(X_42,reverse_line(X_43))
| equally_directed_opposite_lines(X_42,X_43) ),
inference(resolve,[$cnf( unequally_directed_lines(X_42,reverse_line(X_43)) )],[refute_0_22,refute_0_16]) ).
cnf(refute_0_24,plain,
( ~ equally_directed_lines(X_122,reverse_line(X_123))
| equally_directed_opposite_lines(X_122,X_123) ),
inference(subst,[],[refute_0_23:[bind(X_42,$fot(X_122)),bind(X_43,$fot(X_123))]]) ).
cnf(refute_0_25,plain,
( equally_directed_lines(X_122,X_123)
| equally_directed_opposite_lines(X_122,X_123) ),
inference(resolve,[$cnf( equally_directed_lines(X_122,reverse_line(X_123)) )],[refute_0_15,refute_0_24]) ).
cnf(refute_0_26,plain,
( equally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
| equally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_25:[bind(X_122,$fot(skolemFOFtoCNF_M)),bind(X_123,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_27,plain,
equally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N),
inference(resolve,[$cnf( equally_directed_opposite_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_26,refute_0_2]) ).
cnf(refute_0_28,plain,
( ~ equally_directed_lines(skolemFOFtoCNF_M,X_213)
| ~ unequally_directed_lines(skolemFOFtoCNF_M,X_213) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_M)),bind(Y,$fot(X_213))]]) ).
cnf(refute_0_29,plain,
equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_30,plain,
( ~ equally_directed_opposite_lines(X,Y)
| ~ unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_31,plain,
( ~ equally_directed_opposite_lines(X_46,X_47)
| ~ unequally_directed_opposite_lines(X_46,X_47) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_46)),bind(Y,$fot(X_47))]]) ).
cnf(refute_0_32,plain,
( ~ unequally_directed_lines(X,reverse_line(Y))
| unequally_directed_opposite_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_33,plain,
( ~ unequally_directed_lines(X_38,reverse_line(X_39))
| unequally_directed_opposite_lines(X_38,X_39) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_38)),bind(Y,$fot(X_39))]]) ).
cnf(refute_0_34,plain,
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_35,plain,
( unequally_directed_lines(X_38,X_39)
| unequally_directed_lines(X_38,reverse_line(X_39)) ),
inference(subst,[],[refute_0_34:[bind(L,$fot(X_38)),bind(M,$fot(X_39))]]) ).
cnf(refute_0_36,plain,
( unequally_directed_lines(X_38,X_39)
| unequally_directed_opposite_lines(X_38,X_39) ),
inference(resolve,[$cnf( unequally_directed_lines(X_38,reverse_line(X_39)) )],[refute_0_35,refute_0_33]) ).
cnf(refute_0_37,plain,
( unequally_directed_lines(X_46,X_47)
| unequally_directed_opposite_lines(X_46,X_47) ),
inference(subst,[],[refute_0_36:[bind(X_38,$fot(X_46)),bind(X_39,$fot(X_47))]]) ).
cnf(refute_0_38,plain,
( ~ equally_directed_opposite_lines(X_46,X_47)
| unequally_directed_lines(X_46,X_47) ),
inference(resolve,[$cnf( unequally_directed_opposite_lines(X_46,X_47) )],[refute_0_37,refute_0_31]) ).
cnf(refute_0_39,plain,
( ~ equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) ),
inference(subst,[],[refute_0_38:[bind(X_46,$fot(skolemFOFtoCNF_L)),bind(X_47,$fot(skolemFOFtoCNF_M))]]) ).
cnf(refute_0_40,plain,
unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M),
inference(resolve,[$cnf( equally_directed_opposite_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_29,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ unequally_directed_lines(L,M)
| unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_42,plain,
( ~ unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M)
| unequally_directed_lines(skolemFOFtoCNF_L,X_212)
| unequally_directed_lines(skolemFOFtoCNF_M,X_212) ),
inference(subst,[],[refute_0_41:[bind(L,$fot(skolemFOFtoCNF_L)),bind(M,$fot(skolemFOFtoCNF_M)),bind(N,$fot(X_212))]]) ).
cnf(refute_0_43,plain,
( unequally_directed_lines(skolemFOFtoCNF_L,X_212)
| unequally_directed_lines(skolemFOFtoCNF_M,X_212) ),
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_M) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
( unequally_directed_lines(skolemFOFtoCNF_L,X_213)
| unequally_directed_lines(skolemFOFtoCNF_M,X_213) ),
inference(subst,[],[refute_0_43:[bind(X_212,$fot(X_213))]]) ).
cnf(refute_0_45,plain,
( ~ equally_directed_lines(skolemFOFtoCNF_M,X_213)
| unequally_directed_lines(skolemFOFtoCNF_L,X_213) ),
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_M,X_213) )],[refute_0_44,refute_0_28]) ).
cnf(refute_0_46,plain,
( ~ equally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N)
| unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) ),
inference(subst,[],[refute_0_45:[bind(X_213,$fot(skolemFOFtoCNF_N))]]) ).
cnf(refute_0_47,plain,
unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(resolve,[$cnf( equally_directed_lines(skolemFOFtoCNF_M,skolemFOFtoCNF_N) )],[refute_0_27,refute_0_46]) ).
cnf(refute_0_48,plain,
~ equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(resolve,[$cnf( unequally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) )],[refute_0_47,refute_0_1]) ).
cnf(refute_0_49,plain,
equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_50,plain,
$false,
inference(resolve,[$cnf( equally_directed_lines(skolemFOFtoCNF_L,skolemFOFtoCNF_N) )],[refute_0_49,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO231+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 18:49:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42
% 0.21/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.43
%------------------------------------------------------------------------------