TSTP Solution File: GEO011-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 05:23:32 EDT 2022
% Result : Unsatisfiable 1.66s 1.87s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of clauses : 61 ( 24 unt; 12 nHn; 40 RR)
% Number of literals : 112 ( 27 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 88 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity_for_betweeness,axiom,
( ~ between(X,Y,X)
| X = Y ) ).
cnf(identity_for_equidistance,axiom,
( ~ equidistant(X,Y,Z,Z)
| X = Y ) ).
cnf(outer_pasch1,axiom,
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(X,outer_pasch(W,X,Y,Z,V),Y) ) ).
cnf(outer_pasch2,axiom,
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(Z,W,outer_pasch(W,X,Y,Z,V)) ) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,W,V)) ).
cnf(segment_construction2,axiom,
equidistant(Y,extension(X,Y,W,V),W,V) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ).
cnf(colinearity1,axiom,
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,X,Z)
| between(X,Z,Y) ) ).
cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
cnf(refute_0_0,plain,
between(X,Y,extension(X,Y,V,V)),
inference(subst,[],[segment_construction1:[bind(W,$fot(V))]]) ).
cnf(refute_0_1,plain,
equidistant(X_12,extension(X,X_12,X_14,X_14),X_14,X_14),
inference(subst,[],[segment_construction2:[bind(V,$fot(X_14)),bind(W,$fot(X_14)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_2,plain,
( ~ equidistant(X_12,extension(X,X_12,X_14,X_14),X_14,X_14)
| X_12 = extension(X,X_12,X_14,X_14) ),
inference(subst,[],[identity_for_equidistance:[bind(X,$fot(X_12)),bind(Y,$fot(extension(X,X_12,X_14,X_14))),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_3,plain,
X_12 = extension(X,X_12,X_14,X_14),
inference(resolve,[$cnf( equidistant(X_12,extension(X,X_12,X_14,X_14),X_14,X_14) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
Y = extension(X,Y,V,V),
inference(subst,[],[refute_0_3:[bind(X_12,$fot(Y)),bind(X_14,$fot(V))]]) ).
cnf(refute_0_5,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_6,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_7,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( Y != extension(X,Y,V,V)
| extension(X,Y,V,V) = Y ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(Y)),bind(Y0,$fot(extension(X,Y,V,V)))]]) ).
cnf(refute_0_9,plain,
extension(X,Y,V,V) = Y,
inference(resolve,[$cnf( $equal(Y,extension(X,Y,V,V)) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( extension(X,Y,V,V) != Y
| ~ between(X,Y,extension(X,Y,V,V))
| between(X,Y,Y) ),
introduced(tautology,[equality,[$cnf( between(X,Y,extension(X,Y,V,V)) ),[2],$fot(Y)]]) ).
cnf(refute_0_11,plain,
( ~ between(X,Y,extension(X,Y,V,V))
| between(X,Y,Y) ),
inference(resolve,[$cnf( $equal(extension(X,Y,V,V),Y) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
between(X,Y,Y),
inference(resolve,[$cnf( between(X,Y,extension(X,Y,V,V)) )],[refute_0_0,refute_0_11]) ).
cnf(refute_0_13,plain,
between(X_1100,X_1101,X_1101),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_1100)),bind(Y,$fot(X_1101))]]) ).
cnf(refute_0_14,plain,
( ~ between(X_1099,X_1098,X_1101)
| ~ between(X_1100,X_1101,X_1101)
| between(X_1101,X_1098,outer_pasch(X_1098,X_1099,X_1100,X_1101,X_1101)) ),
inference(subst,[],[outer_pasch2:[bind(V,$fot(X_1101)),bind(W,$fot(X_1098)),bind(X,$fot(X_1099)),bind(Y,$fot(X_1100)),bind(Z,$fot(X_1101))]]) ).
cnf(refute_0_15,plain,
( ~ between(X_1099,X_1098,X_1101)
| between(X_1101,X_1098,outer_pasch(X_1098,X_1099,X_1100,X_1101,X_1101)) ),
inference(resolve,[$cnf( between(X_1100,X_1101,X_1101) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,X_1100,lower_dimension_point_2,lower_dimension_point_2)) ),
inference(subst,[],[refute_0_15:[bind(X_1098,$fot(lower_dimension_point_3)),bind(X_1099,$fot(lower_dimension_point_1)),bind(X_1101,$fot(lower_dimension_point_2))]]) ).
cnf(refute_0_17,plain,
( ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(subst,[],[colinearity1:[bind(X,$fot(lower_dimension_point_1)),bind(Y,$fot(lower_dimension_point_2)),bind(Z,$fot(lower_dimension_point_3))]]) ).
cnf(refute_0_18,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(resolve,[$cnf( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )],[prove_lower_dimension_points_not_colinear,refute_0_17]) ).
cnf(refute_0_19,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )],[refute_0_18,lower_dimension1]) ).
cnf(refute_0_20,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,X_1362,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(subst,[],[refute_0_15:[bind(X_1098,$fot(lower_dimension_point_1)),bind(X_1099,$fot(lower_dimension_point_2)),bind(X_1100,$fot(X_1362)),bind(X_1101,$fot(lower_dimension_point_3))]]) ).
cnf(refute_0_21,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,X_1362,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) ),
inference(subst,[],[refute_0_21:[bind(X_1362,$fot(lower_dimension_point_2))]]) ).
cnf(refute_0_23,plain,
( ~ between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2)
| lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) ),
inference(subst,[],[identity_for_betweeness:[bind(X,$fot(lower_dimension_point_2)),bind(Y,$fot(outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)))]]) ).
cnf(refute_0_24,plain,
between(X_143,X_144,X_144),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_143)),bind(Y,$fot(X_144))]]) ).
cnf(refute_0_25,plain,
( ~ between(X_142,X_141,X_144)
| ~ between(X_143,X_144,X_144)
| between(X_142,outer_pasch(X_141,X_142,X_143,X_144,X_144),X_143) ),
inference(subst,[],[outer_pasch1:[bind(V,$fot(X_144)),bind(W,$fot(X_141)),bind(X,$fot(X_142)),bind(Y,$fot(X_143)),bind(Z,$fot(X_144))]]) ).
cnf(refute_0_26,plain,
( ~ between(X_142,X_141,X_144)
| between(X_142,outer_pasch(X_141,X_142,X_143,X_144,X_144),X_143) ),
inference(resolve,[$cnf( between(X_143,X_144,X_144) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,X_473,lower_dimension_point_3,lower_dimension_point_3),X_473) ),
inference(subst,[],[refute_0_26:[bind(X_141,$fot(lower_dimension_point_1)),bind(X_142,$fot(lower_dimension_point_2)),bind(X_143,$fot(X_473)),bind(X_144,$fot(lower_dimension_point_3))]]) ).
cnf(refute_0_28,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,X_473,lower_dimension_point_3,lower_dimension_point_3),X_473) ),
inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) )],[refute_0_19,refute_0_27]) ).
cnf(refute_0_29,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2) ),
inference(subst,[],[refute_0_28:[bind(X_473,$fot(lower_dimension_point_2))]]) ).
cnf(refute_0_30,plain,
( lower_dimension_point_2 = outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(resolve,[$cnf( between(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2) )],[refute_0_29,refute_0_23]) ).
cnf(refute_0_31,plain,
( lower_dimension_point_2 != outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)
| outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) = lower_dimension_point_2 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(lower_dimension_point_2)),bind(Y0,$fot(outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)))]]) ).
cnf(refute_0_32,plain,
( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) = lower_dimension_point_2
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) ),
inference(resolve,[$cnf( $equal(lower_dimension_point_2,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3) != lower_dimension_point_2
| ~ between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(tautology,[equality,[$cnf( between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) ),[2],$fot(lower_dimension_point_2)]]) ).
cnf(refute_0_34,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3))
| between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolve,[$cnf( $equal(outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_2) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolve,[$cnf( between(lower_dimension_point_3,lower_dimension_point_1,outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3)) )],[refute_0_22,refute_0_34]) ).
cnf(refute_0_36,plain,
between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(resolve,[$cnf( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) )],[refute_0_35,lower_dimension3]) ).
cnf(refute_0_37,plain,
between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,X_1100,lower_dimension_point_2,lower_dimension_point_2)),
inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) )],[refute_0_36,refute_0_16]) ).
cnf(refute_0_38,plain,
between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)),
inference(subst,[],[refute_0_37:[bind(X_1100,$fot(lower_dimension_point_1))]]) ).
cnf(refute_0_39,plain,
( ~ between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_1)
| lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) ),
inference(subst,[],[identity_for_betweeness:[bind(X,$fot(lower_dimension_point_1)),bind(Y,$fot(outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)))]]) ).
cnf(refute_0_40,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,X_143,lower_dimension_point_2,lower_dimension_point_2),X_143) ),
inference(subst,[],[refute_0_26:[bind(X_141,$fot(lower_dimension_point_3)),bind(X_142,$fot(lower_dimension_point_1)),bind(X_144,$fot(lower_dimension_point_2))]]) ).
cnf(refute_0_41,plain,
between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,X_143,lower_dimension_point_2,lower_dimension_point_2),X_143),
inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2) )],[refute_0_36,refute_0_40]) ).
cnf(refute_0_42,plain,
between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_1),
inference(subst,[],[refute_0_41:[bind(X_143,$fot(lower_dimension_point_1))]]) ).
cnf(refute_0_43,plain,
lower_dimension_point_1 = outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),
inference(resolve,[$cnf( between(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_1) )],[refute_0_42,refute_0_39]) ).
cnf(refute_0_44,plain,
( lower_dimension_point_1 != outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)
| outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) = lower_dimension_point_1 ),
inference(subst,[],[refute_0_7:[bind(X0,$fot(lower_dimension_point_1)),bind(Y0,$fot(outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)))]]) ).
cnf(refute_0_45,plain,
outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) = lower_dimension_point_1,
inference(resolve,[$cnf( $equal(lower_dimension_point_1,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2) != lower_dimension_point_1
| ~ between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2))
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(tautology,[equality,[$cnf( between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)) ),[2],$fot(lower_dimension_point_1)]]) ).
cnf(refute_0_47,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2))
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(resolve,[$cnf( $equal(outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_1) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_3,outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2)) )],[refute_0_38,refute_0_47]) ).
cnf(refute_0_49,plain,
$false,
inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) )],[refute_0_48,lower_dimension2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n021.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 : Sat Jun 18 01:32:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.66/1.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.87
% 1.66/1.87 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.66/1.87
%------------------------------------------------------------------------------