TSTP Solution File: GEO201+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 05:25:16 EDT 2022
% Result : Theorem 6.92s 7.12s
% Output : CNFRefutation 6.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 15 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 159 ( 56 ~; 92 |; 3 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 51 !; 2 ?)
% 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(ci3,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ) ).
fof(ci4,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) ).
fof(cu1,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ) ).
fof(ceq3,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ) ).
fof(con,conjecture,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
fof(subgoal_0,plain,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ apart_point_and_line(intersection_point(X,Y),X)
| ~ convergent_lines(X,Y) ),
inference(canonicalize,[],[ci3]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ apart_point_and_line(intersection_point(X,Y),X)
| ~ convergent_lines(X,Y) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ apart_point_and_line(intersection_point(X,Y),Y)
| ~ convergent_lines(X,Y) ),
inference(canonicalize,[],[ci4]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ apart_point_and_line(intersection_point(X,Y),Y)
| ~ convergent_lines(X,Y) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_0_5,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
? [X,Y] :
( convergent_lines(X,Y)
& distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
& distinct_points(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)) ),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] : ~ convergent_lines(X,X),
inference(canonicalize,[],[apart3]) ).
fof(normalize_0_10,plain,
! [X] : ~ convergent_lines(X,X),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[ceq3]) ).
fof(normalize_0_12,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
distinct_points(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_14,plain,
! [U,V,X,Y] :
( ~ distinct_lines(U,V)
| ~ distinct_points(X,Y)
| apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ),
inference(canonicalize,[],[cu1]) ).
fof(normalize_0_15,plain,
! [U,V,X,Y] :
( ~ distinct_lines(U,V)
| ~ distinct_points(X,Y)
| apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ),
inference(specialize,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
( ~ apart_point_and_line(intersection_point(X,Y),X)
| ~ convergent_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| ~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_2,plain,
( ~ apart_point_and_line(intersection_point(X,Y),Y)
| ~ convergent_lines(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y)
| ~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_4,plain,
( ~ apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| ~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_5,plain,
( ~ apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y)
| ~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_7,plain,
( ~ convergent_lines(X_23,X_22)
| convergent_lines(X_22,Z)
| convergent_lines(X_23,Z) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_23)),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_8,plain,
( ~ convergent_lines(skolemFOFtoCNF_Y,X_21)
| convergent_lines(X_21,Z)
| convergent_lines(skolemFOFtoCNF_Y,Z) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_9,plain,
convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_10,plain,
( ~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| convergent_lines(skolemFOFtoCNF_X,X_20)
| convergent_lines(skolemFOFtoCNF_Y,X_20) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(X_20))]]) ).
cnf(refute_0_11,plain,
( convergent_lines(skolemFOFtoCNF_X,X_20)
| convergent_lines(skolemFOFtoCNF_Y,X_20) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( convergent_lines(skolemFOFtoCNF_X,X_21)
| convergent_lines(skolemFOFtoCNF_Y,X_21) ),
inference(subst,[],[refute_0_11:[bind(X_20,$fot(X_21))]]) ).
cnf(refute_0_13,plain,
( convergent_lines(X_21,Z)
| convergent_lines(skolemFOFtoCNF_X,X_21)
| convergent_lines(skolemFOFtoCNF_Y,Z) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,X_21) )],[refute_0_12,refute_0_8]) ).
cnf(refute_0_14,plain,
( convergent_lines(X_23,X_22)
| convergent_lines(skolemFOFtoCNF_X,X_23)
| convergent_lines(skolemFOFtoCNF_Y,X_22) ),
inference(subst,[],[refute_0_13:[bind(Z,$fot(X_22)),bind(X_21,$fot(X_23))]]) ).
cnf(refute_0_15,plain,
( convergent_lines(X_22,Z)
| convergent_lines(X_23,Z)
| convergent_lines(skolemFOFtoCNF_X,X_23)
| convergent_lines(skolemFOFtoCNF_Y,X_22) ),
inference(resolve,[$cnf( convergent_lines(X_23,X_22) )],[refute_0_14,refute_0_7]) ).
cnf(refute_0_16,plain,
( convergent_lines(X_22,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_22) ),
inference(subst,[],[refute_0_15:[bind(Z,$fot(skolemFOFtoCNF_X)),bind(X_23,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_17,plain,
~ convergent_lines(X,X),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_18,plain,
~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X),
inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_19,plain,
( convergent_lines(X_22,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_22) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
( convergent_lines(X_32,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,X_32) ),
inference(subst,[],[refute_0_19:[bind(X_22,$fot(X_32))]]) ).
cnf(refute_0_21,plain,
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_22,plain,
( ~ convergent_lines(X_32,skolemFOFtoCNF_X)
| convergent_lines(X_32,X_34)
| distinct_lines(skolemFOFtoCNF_X,X_34) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_32)),bind(Y,$fot(skolemFOFtoCNF_X)),bind(Z,$fot(X_34))]]) ).
cnf(refute_0_23,plain,
( convergent_lines(X_32,X_34)
| convergent_lines(skolemFOFtoCNF_Y,X_32)
| distinct_lines(skolemFOFtoCNF_X,X_34) ),
inference(resolve,[$cnf( convergent_lines(X_32,skolemFOFtoCNF_X) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y)
| distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_23:[bind(X_32,$fot(skolemFOFtoCNF_Y)),bind(X_34,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_25,plain,
~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y),
inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_26,plain,
distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_Y) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
distinct_points(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_28,plain,
( ~ distinct_lines(U,V)
| ~ distinct_points(X,Y)
| apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_29,plain,
( ~ distinct_lines(X_319,X_320)
| ~ distinct_points(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X))
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),X_319)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),X_320)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),X_319)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),X_320) ),
inference(subst,[],[refute_0_28:[bind(U,$fot(X_319)),bind(V,$fot(X_320)),bind(X,$fot(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y))),bind(Y,$fot(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_30,plain,
( ~ distinct_lines(X_319,X_320)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),X_319)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),X_320)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),X_319)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),X_320) ),
inference(resolve,[$cnf( distinct_points(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_30:[bind(X_319,$fot(skolemFOFtoCNF_X)),bind(X_320,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_32,plain,
( apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( distinct_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y) )],[refute_0_32,refute_0_5]) ).
cnf(refute_0_34,plain,
( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X)
| convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_13:[bind(Z,$fot(skolemFOFtoCNF_X)),bind(X_21,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_35,plain,
convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_X) )],[refute_0_34,refute_0_18]) ).
cnf(refute_0_36,plain,
( apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_35,refute_0_33]) ).
cnf(refute_0_37,plain,
( ~ convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( apart_point_and_line(intersection_point(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X) )],[refute_0_36,refute_0_4]) ).
cnf(refute_0_38,plain,
( apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_Y) )],[refute_0_38,refute_0_3]) ).
cnf(refute_0_40,plain,
apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X),
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_39]) ).
cnf(refute_0_41,plain,
~ convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(resolve,[$cnf( apart_point_and_line(intersection_point(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),skolemFOFtoCNF_X) )],[refute_0_40,refute_0_1]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( convergent_lines(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_9,refute_0_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n012.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 : Fri Jun 17 15:49:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.92/7.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.92/7.12
% 6.92/7.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.92/7.12
%------------------------------------------------------------------------------