TSTP Solution File: GEO011-3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% 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 04:39:46 EDT 2022
% Result : Unsatisfiable 150.37s 150.88s
% Output : CNFRefutation 150.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 101
% Syntax : Number of formulae : 756 ( 168 unt; 0 def)
% Number of atoms : 2282 ( 380 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 2831 (1305 ~;1526 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 2834 ( 48 sgn1023 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X4,X10,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ between(X13,X10,X4)
| ~ between(X11,X2,X13)
| between(X2,inner_pasch(X10,inner_pasch(X11,X2,X13,X10,X4),X11,X6,X4),X4)
| between(X6,inner_pasch(X10,inner_pasch(X11,X2,X13,X10,X4),X11,X6,X4),X10) ),
file('<stdin>',b10) ).
fof(c_0_1,axiom,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| equidistant(X11,X4,X11,continuous(X11,X6,X10,X4,X2,X9)) ),
file('<stdin>',continuity2) ).
fof(c_0_2,axiom,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X10,continuous(X11,X6,X10,X4,X2,X9),X9) ),
file('<stdin>',continuity1) ).
fof(c_0_3,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(euclid1(X11,X6,X4,X2,X1),X1,euclid2(X11,X6,X4,X2,X1)) ),
file('<stdin>',euclid3) ).
fof(c_0_4,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X2,euclid2(X11,X6,X4,X2,X1)) ),
file('<stdin>',euclid2) ).
fof(c_0_5,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X6,euclid1(X11,X6,X4,X2,X1)) ),
file('<stdin>',euclid1) ).
fof(c_0_6,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X2,inner_pasch(X11,X6,X4,X2,X1),X11) ),
file('<stdin>',inner_pasch2) ).
fof(c_0_7,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X6,inner_pasch(X11,X6,X4,X2,X1),X1) ),
file('<stdin>',inner_pasch1) ).
fof(c_0_8,axiom,
! [X7,X3,X8,X1,X9,X2,X10,X6] :
( ~ equidistant(X2,X1,X9,X8)
| ~ equidistant(X1,X3,X8,X7)
| ~ equidistant(X2,X6,X9,X10)
| ~ equidistant(X1,X6,X8,X10)
| ~ between(X2,X1,X3)
| ~ between(X9,X8,X7)
| X2 = X1
| equidistant(X3,X6,X7,X10) ),
file('<stdin>',outer_five_segment) ).
fof(c_0_9,axiom,
! [X9,X2,X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ equidistant(X11,X2,X13,X9)
| ~ equidistant(X4,X2,X12,X9)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X6,X2,X10,X9) ),
file('<stdin>',d14) ).
fof(c_0_10,axiom,
! [X9,X2,X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X11,X4,X13,X12)
| ~ equidistant(X11,X2,X13,X9)
| ~ equidistant(X4,X2,X12,X9)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X6,X2,X10,X9) ),
file('<stdin>',d12) ).
fof(c_0_11,axiom,
! [X3,X1,X2,X4,X6] :
( ~ equidistant(X2,X4,X2,X6)
| ~ equidistant(X1,X4,X1,X6)
| ~ equidistant(X3,X4,X3,X6)
| between(X2,X1,X3)
| between(X1,X3,X2)
| between(X3,X2,X1)
| X4 = X6 ),
file('<stdin>',upper_dimension) ).
fof(c_0_12,axiom,
! [X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ equidistant(X11,X4,X13,X12)
| ~ between(X11,X6,X4)
| between(X13,X10,X12) ),
file('<stdin>',b11) ).
fof(c_0_13,axiom,
! [X2,X4,X6,X11] : equidistant(X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X4,X2,lower_dimension_point_1,lower_dimension_point_2)),
file('<stdin>',e3_2) ).
fof(c_0_14,axiom,
! [X12,X4,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X4,X13,X12)
| equidistant(X6,X4,insertion(X13,X12,X11,X6),X12) ),
file('<stdin>',i2_3) ).
fof(c_0_15,axiom,
! [X12,X4,X10,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X11,X4,X13,X12)
| equidistant(X6,X4,X10,X12) ),
file('<stdin>',d13) ).
fof(c_0_16,axiom,
! [X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X11,X4,X13,X12) ),
file('<stdin>',d8) ).
fof(c_0_17,axiom,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| ~ equidistant(X4,X2,X1,X3)
| equidistant(X11,X6,X1,X3) ),
file('<stdin>',d5) ).
fof(c_0_18,axiom,
! [X3,X1,X2,X4,X5,X6] :
( ~ equidistant(X2,X1,X3,X6)
| ~ equidistant(X2,X1,X5,X4)
| equidistant(X3,X6,X5,X4) ),
file('<stdin>',transitivity_for_equidistance) ).
fof(c_0_19,axiom,
! [X12,X4,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X4,X13,X12)
| between(X13,insertion(X13,X12,X11,X6),X12) ),
file('<stdin>',i2_2) ).
fof(c_0_20,axiom,
! [X12,X6,X13,X11] : insertion(X13,X12,X11,X6) = extension(extension(X12,X13,lower_dimension_point_1,lower_dimension_point_2),X13,X11,X6),
file('<stdin>',insertion) ).
fof(c_0_21,axiom,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X4,X2,X1,X3)
| extension(X11,X6,X4,X2) = extension(X11,X6,X1,X3)
| X11 = X6 ),
file('<stdin>',d10_2) ).
fof(c_0_22,axiom,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X4,X2,X1,X3)
| insertion(X11,X6,X4,X2) = insertion(X11,X6,X1,X3) ),
file('<stdin>',i4) ).
fof(c_0_23,axiom,
! [X12,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X4,X11,X12)
| ~ equidistant(X6,X4,X6,X12)
| X11 = X6
| X4 = X12 ),
file('<stdin>',d11) ).
fof(c_0_24,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X6,X11,X2)
| ~ equidistant(X4,X6,X4,X2)
| X6 = X2 ),
file('<stdin>',d15) ).
fof(c_0_25,axiom,
! [X12,X6,X13,X11] : equidistant(X11,X6,X13,insertion(X13,X12,X11,X6)),
file('<stdin>',i2_1) ).
fof(c_0_26,axiom,
! [X1,X2,X4,X6] : equidistant(X1,extension(X2,X1,X4,X6),X4,X6),
file('<stdin>',segment_construction2) ).
fof(c_0_27,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X6,X11) ),
file('<stdin>',d4_5) ).
fof(c_0_28,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X11,X6) ),
file('<stdin>',d4_4) ).
fof(c_0_29,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X6,X11) ),
file('<stdin>',d4_3) ).
fof(c_0_30,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X2,X4) ),
file('<stdin>',d4_2) ).
fof(c_0_31,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X11,X6,X2,X4) ),
file('<stdin>',d4_1) ).
fof(c_0_32,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X4,X2) ),
file('<stdin>',d3) ).
fof(c_0_33,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X11,X6) ),
file('<stdin>',d2) ).
fof(c_0_34,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| ~ equidistant(X6,X4,X6,X2)
| X11 = X6
| X4 = X2 ),
file('<stdin>',d9) ).
fof(c_0_35,axiom,
! [X1,X2,X4,X6] : between(X2,X1,extension(X2,X1,X4,X6)),
file('<stdin>',segment_construction1) ).
fof(c_0_36,axiom,
! [X6,X11] : between(X11,X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2)),
file('<stdin>',e3_3) ).
fof(c_0_37,axiom,
! [X6,X11] :
( extension(X11,X6,X11,X6) = extension(X11,X6,X6,X11)
| X11 = X6 ),
file('<stdin>',d10_3) ).
fof(c_0_38,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X6,X11,X4)
| X6 = X4 ),
file('<stdin>',b15) ).
fof(c_0_39,axiom,
! [X1,X2,X4,X6,X11] :
( X1 != extension(X11,X6,X4,X2)
| between(X11,X6,X1) ),
file('<stdin>',b0) ).
fof(c_0_40,axiom,
! [X3,X1,X2] :
( ~ equidistant(X2,X1,X3,X3)
| X2 = X1 ),
file('<stdin>',identity_for_equidistance) ).
fof(c_0_41,axiom,
! [X6,X11] : X6 != extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),
file('<stdin>',e3_1) ).
fof(c_0_42,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| X11 = X6
| X4 = extension(X11,X6,X6,X4) ),
file('<stdin>',d10_1) ).
fof(c_0_43,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| X6 = insertion(X11,X4,X11,X6) ),
file('<stdin>',i3) ).
fof(c_0_44,axiom,
! [X6,X11] : equidistant(X6,X11,X6,reflection(reflection(X11,X6),X6)),
file('<stdin>',r5) ).
fof(c_0_45,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X1)
| ~ between(X6,X4,X2)
| ~ between(X11,X2,X1)
| between(X11,X4,X1) ),
file('<stdin>',t8) ).
fof(c_0_46,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X4,X2)
| ~ between(X6,X4,X2)
| X4 = X2
| between(X11,X6,X4)
| between(X6,X11,X4) ),
file('<stdin>',t7) ).
fof(c_0_47,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| X11 = X6
| between(X6,X4,X2)
| between(X6,X2,X4) ),
file('<stdin>',b13) ).
fof(c_0_48,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| X11 = X6
| between(X11,X4,X2)
| between(X11,X2,X4) ),
file('<stdin>',b12) ).
fof(c_0_49,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X11,X4,X2)
| between(X6,X4,X2)
| between(X4,X6,X2) ),
file('<stdin>',b14) ).
fof(c_0_50,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X11,X4,X2)
| between(X11,X6,X4)
| between(X11,X4,X6) ),
file('<stdin>',t9) ).
fof(c_0_51,axiom,
! [X6,X11] : equidistant(X6,reflection(X11,X6),X11,X6),
file('<stdin>',r2_2) ).
fof(c_0_52,axiom,
! [X6,X11] : reflection(X11,X6) = extension(X11,X6,X11,X6),
file('<stdin>',reflection) ).
fof(c_0_53,axiom,
! [X3,X1,X2] :
( ~ colinear(X2,X1,X3)
| between(X2,X1,X3)
| between(X1,X3,X2)
| between(X3,X2,X1) ),
file('<stdin>',colinearity4) ).
fof(c_0_54,axiom,
! [X4,X6,X11] : X6 = extension(X11,X6,X4,X4),
file('<stdin>',e1) ).
fof(c_0_55,axiom,
! [X6,X11] : equidistant(X11,X11,X6,X6),
file('<stdin>',d7) ).
fof(c_0_56,axiom,
! [X6,X11] : equidistant(X11,X6,X11,X6),
file('<stdin>',d1) ).
fof(c_0_57,axiom,
! [X1,X2] : equidistant(X2,X1,X1,X2),
file('<stdin>',reflexivity_for_equidistance) ).
fof(c_0_58,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X2)
| X6 = X4 ),
file('<stdin>',b7) ).
fof(c_0_59,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X4,X2)
| X6 = X4 ),
file('<stdin>',b6) ).
fof(c_0_60,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X11,X6,X2) ),
file('<stdin>',b9) ).
fof(c_0_61,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X11,X4,X2) ),
file('<stdin>',b8) ).
fof(c_0_62,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X6,X4,X2) ),
file('<stdin>',b5) ).
fof(c_0_63,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X4) ),
file('<stdin>',b4) ).
fof(c_0_64,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X11 = X6
| X6 = X4 ),
file('<stdin>',t6_2) ).
fof(c_0_65,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6
| X6 = X4 ),
file('<stdin>',t6_1) ).
fof(c_0_66,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X6 = X4 ),
file('<stdin>',b3) ).
fof(c_0_67,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6 ),
file('<stdin>',b2) ).
fof(c_0_68,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X4,X2)
| X11 != X2
| between(X6,X4,X2) ),
file('<stdin>',b1) ).
fof(c_0_69,axiom,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X6,X11,X4) ),
file('<stdin>',t10_5) ).
fof(c_0_70,axiom,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X4,X11,X6) ),
file('<stdin>',t10_4) ).
fof(c_0_71,axiom,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X11,X4,X6) ),
file('<stdin>',t10_3) ).
fof(c_0_72,axiom,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X6,X4,X11) ),
file('<stdin>',t10_2) ).
fof(c_0_73,axiom,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X4,X6,X11) ),
file('<stdin>',t10_1) ).
fof(c_0_74,axiom,
! [X4,X6,X11] :
( ~ between(X6,X11,X4)
| colinear(X11,X6,X4) ),
file('<stdin>',c2_3) ).
fof(c_0_75,axiom,
! [X4,X6,X11] :
( ~ between(X11,X4,X6)
| colinear(X11,X6,X4) ),
file('<stdin>',c2_2) ).
fof(c_0_76,axiom,
! [X4,X6,X11] :
( ~ between(X4,X6,X11)
| colinear(X11,X6,X4) ),
file('<stdin>',c2_1) ).
fof(c_0_77,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| between(X4,X6,X11) ),
file('<stdin>',t1) ).
fof(c_0_78,axiom,
! [X3,X1,X2] :
( ~ between(X3,X2,X1)
| colinear(X2,X1,X3) ),
file('<stdin>',colinearity3) ).
fof(c_0_79,axiom,
! [X3,X1,X2] :
( ~ between(X1,X3,X2)
| colinear(X2,X1,X3) ),
file('<stdin>',colinearity2) ).
fof(c_0_80,axiom,
! [X3,X1,X2] :
( ~ between(X2,X1,X3)
| colinear(X2,X1,X3) ),
file('<stdin>',colinearity1) ).
fof(c_0_81,axiom,
! [X1,X2] :
( ~ between(X2,X1,X2)
| X2 = X1 ),
file('<stdin>',identity_for_betweeness) ).
fof(c_0_82,axiom,
! [X6,X11] : between(X11,X6,reflection(X11,X6)),
file('<stdin>',r2_1) ).
fof(c_0_83,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('<stdin>',lower_dimension3) ).
fof(c_0_84,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('<stdin>',lower_dimension2) ).
fof(c_0_85,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('<stdin>',lower_dimension1) ).
fof(c_0_86,axiom,
! [X6,X11] : between(X11,X11,X6),
file('<stdin>',t2) ).
fof(c_0_87,axiom,
! [X6,X11] : between(X11,X6,X6),
file('<stdin>',t3) ).
fof(c_0_88,axiom,
! [X6,X11] : X11 = reflection(reflection(X11,X6),X6),
file('<stdin>',r6) ).
fof(c_0_89,axiom,
! [X6,X11] :
( X6 != reflection(X11,X6)
| X11 = X6 ),
file('<stdin>',r4) ).
fof(c_0_90,axiom,
! [X6,X11] :
( X11 != X6
| X6 = reflection(X11,X6) ),
file('<stdin>',r3_1) ).
fof(c_0_91,axiom,
! [X11] : X11 = reflection(X11,X11),
file('<stdin>',r3_2) ).
fof(c_0_92,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
file('<stdin>',e2_3) ).
fof(c_0_93,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
file('<stdin>',e2_2) ).
fof(c_0_94,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('<stdin>',e2_1) ).
fof(c_0_95,plain,
! [X2,X4,X10,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ between(X13,X10,X4)
| ~ between(X11,X2,X13)
| between(X2,inner_pasch(X10,inner_pasch(X11,X2,X13,X10,X4),X11,X6,X4),X4)
| between(X6,inner_pasch(X10,inner_pasch(X11,X2,X13,X10,X4),X11,X6,X4),X10) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_96,plain,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| equidistant(X11,X4,X11,continuous(X11,X6,X10,X4,X2,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_97,plain,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X10,continuous(X11,X6,X10,X4,X2,X9),X9) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_98,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(euclid1(X11,X6,X4,X2,X1),X1,euclid2(X11,X6,X4,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_99,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X2,euclid2(X11,X6,X4,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_100,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X6,euclid1(X11,X6,X4,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_101,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X2,inner_pasch(X11,X6,X4,X2,X1),X11) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_102,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X6,inner_pasch(X11,X6,X4,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_103,plain,
! [X7,X3,X8,X1,X9,X2,X10,X6] :
( ~ equidistant(X2,X1,X9,X8)
| ~ equidistant(X1,X3,X8,X7)
| ~ equidistant(X2,X6,X9,X10)
| ~ equidistant(X1,X6,X8,X10)
| ~ between(X2,X1,X3)
| ~ between(X9,X8,X7)
| X2 = X1
| equidistant(X3,X6,X7,X10) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_104,plain,
! [X9,X2,X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ equidistant(X11,X2,X13,X9)
| ~ equidistant(X4,X2,X12,X9)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X6,X2,X10,X9) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_105,plain,
! [X9,X2,X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X11,X4,X13,X12)
| ~ equidistant(X11,X2,X13,X9)
| ~ equidistant(X4,X2,X12,X9)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X6,X2,X10,X9) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_106,plain,
! [X3,X1,X2,X4,X6] :
( ~ equidistant(X2,X4,X2,X6)
| ~ equidistant(X1,X4,X1,X6)
| ~ equidistant(X3,X4,X3,X6)
| between(X2,X1,X3)
| between(X1,X3,X2)
| between(X3,X2,X1)
| X4 = X6 ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_107,plain,
! [X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ equidistant(X11,X4,X13,X12)
| ~ between(X11,X6,X4)
| between(X13,X10,X12) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_108,axiom,
! [X2,X4,X6,X11] : equidistant(X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X4,X2,lower_dimension_point_1,lower_dimension_point_2)),
c_0_13 ).
fof(c_0_109,plain,
! [X12,X4,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X4,X13,X12)
| equidistant(X6,X4,insertion(X13,X12,X11,X6),X12) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_110,plain,
! [X12,X4,X10,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X11,X4,X13,X12)
| equidistant(X6,X4,X10,X12) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_111,plain,
! [X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X11,X4,X13,X12) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_112,plain,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| ~ equidistant(X4,X2,X1,X3)
| equidistant(X11,X6,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_113,plain,
! [X3,X1,X2,X4,X5,X6] :
( ~ equidistant(X2,X1,X3,X6)
| ~ equidistant(X2,X1,X5,X4)
| equidistant(X3,X6,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_114,plain,
! [X12,X4,X6,X13,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X4,X13,X12)
| between(X13,insertion(X13,X12,X11,X6),X12) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_115,axiom,
! [X12,X6,X13,X11] : insertion(X13,X12,X11,X6) = extension(extension(X12,X13,lower_dimension_point_1,lower_dimension_point_2),X13,X11,X6),
c_0_20 ).
fof(c_0_116,plain,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X4,X2,X1,X3)
| extension(X11,X6,X4,X2) = extension(X11,X6,X1,X3)
| X11 = X6 ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_117,plain,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X4,X2,X1,X3)
| insertion(X11,X6,X4,X2) = insertion(X11,X6,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_118,plain,
! [X12,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X4,X11,X12)
| ~ equidistant(X6,X4,X6,X12)
| X11 = X6
| X4 = X12 ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_119,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X6,X11,X2)
| ~ equidistant(X4,X6,X4,X2)
| X6 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_120,axiom,
! [X12,X6,X13,X11] : equidistant(X11,X6,X13,insertion(X13,X12,X11,X6)),
c_0_25 ).
fof(c_0_121,axiom,
! [X1,X2,X4,X6] : equidistant(X1,extension(X2,X1,X4,X6),X4,X6),
c_0_26 ).
fof(c_0_122,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_123,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X11,X6) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_124,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_125,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_126,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X11,X6,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_127,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_128,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X11,X6) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_129,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| ~ equidistant(X6,X4,X6,X2)
| X11 = X6
| X4 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_130,axiom,
! [X1,X2,X4,X6] : between(X2,X1,extension(X2,X1,X4,X6)),
c_0_35 ).
fof(c_0_131,axiom,
! [X6,X11] : between(X11,X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2)),
c_0_36 ).
fof(c_0_132,axiom,
! [X6,X11] :
( extension(X11,X6,X11,X6) = extension(X11,X6,X6,X11)
| X11 = X6 ),
c_0_37 ).
fof(c_0_133,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ equidistant(X11,X6,X11,X4)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_134,axiom,
! [X1,X2,X4,X6,X11] :
( X1 != extension(X11,X6,X4,X2)
| between(X11,X6,X1) ),
c_0_39 ).
fof(c_0_135,plain,
! [X3,X1,X2] :
( ~ equidistant(X2,X1,X3,X3)
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_136,axiom,
! [X6,X11] : X6 != extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),
c_0_41 ).
fof(c_0_137,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| X11 = X6
| X4 = extension(X11,X6,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_138,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| X6 = insertion(X11,X4,X11,X6) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_139,axiom,
! [X6,X11] : equidistant(X6,X11,X6,reflection(reflection(X11,X6),X6)),
c_0_44 ).
fof(c_0_140,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X1)
| ~ between(X6,X4,X2)
| ~ between(X11,X2,X1)
| between(X11,X4,X1) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_141,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X4,X2)
| ~ between(X6,X4,X2)
| X4 = X2
| between(X11,X6,X4)
| between(X6,X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_142,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| X11 = X6
| between(X6,X4,X2)
| between(X6,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_143,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| X11 = X6
| between(X11,X4,X2)
| between(X11,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_144,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X11,X4,X2)
| between(X6,X4,X2)
| between(X4,X6,X2) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_145,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X11,X4,X2)
| between(X11,X6,X4)
| between(X11,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_146,axiom,
! [X6,X11] : equidistant(X6,reflection(X11,X6),X11,X6),
c_0_51 ).
fof(c_0_147,axiom,
! [X6,X11] : reflection(X11,X6) = extension(X11,X6,X11,X6),
c_0_52 ).
fof(c_0_148,plain,
! [X3,X1,X2] :
( ~ colinear(X2,X1,X3)
| between(X2,X1,X3)
| between(X1,X3,X2)
| between(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_149,axiom,
! [X4,X6,X11] : X6 = extension(X11,X6,X4,X4),
c_0_54 ).
fof(c_0_150,axiom,
! [X6,X11] : equidistant(X11,X11,X6,X6),
c_0_55 ).
fof(c_0_151,axiom,
! [X6,X11] : equidistant(X11,X6,X11,X6),
c_0_56 ).
fof(c_0_152,axiom,
! [X1,X2] : equidistant(X2,X1,X1,X2),
c_0_57 ).
fof(c_0_153,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X2)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_154,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X4,X2)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_155,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X11,X6,X2) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_156,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X11,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_157,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X6,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_158,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_159,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X11 = X6
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_160,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_161,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_162,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6 ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_163,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X4,X2)
| X11 != X2
| between(X6,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_164,plain,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X6,X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_165,plain,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X4,X11,X6) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_166,plain,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X11,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_167,plain,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X6,X4,X11) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_168,plain,
! [X4,X6,X11] :
( ~ colinear(X11,X6,X4)
| colinear(X4,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_169,plain,
! [X4,X6,X11] :
( ~ between(X6,X11,X4)
| colinear(X11,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_170,plain,
! [X4,X6,X11] :
( ~ between(X11,X4,X6)
| colinear(X11,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_171,plain,
! [X4,X6,X11] :
( ~ between(X4,X6,X11)
| colinear(X11,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_172,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| between(X4,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_173,plain,
! [X3,X1,X2] :
( ~ between(X3,X2,X1)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_174,plain,
! [X3,X1,X2] :
( ~ between(X1,X3,X2)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_175,plain,
! [X3,X1,X2] :
( ~ between(X2,X1,X3)
| colinear(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_176,plain,
! [X1,X2] :
( ~ between(X2,X1,X2)
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_177,axiom,
! [X6,X11] : between(X11,X6,reflection(X11,X6)),
c_0_82 ).
fof(c_0_178,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_179,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_180,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_181,axiom,
! [X6,X11] : between(X11,X11,X6),
c_0_86 ).
fof(c_0_182,axiom,
! [X6,X11] : between(X11,X6,X6),
c_0_87 ).
fof(c_0_183,axiom,
! [X6,X11] : X11 = reflection(reflection(X11,X6),X6),
c_0_88 ).
fof(c_0_184,axiom,
! [X6,X11] :
( X6 != reflection(X11,X6)
| X11 = X6 ),
c_0_89 ).
fof(c_0_185,axiom,
! [X6,X11] :
( X11 != X6
| X6 = reflection(X11,X6) ),
c_0_90 ).
fof(c_0_186,axiom,
! [X11] : X11 = reflection(X11,X11),
c_0_91 ).
fof(c_0_187,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
c_0_92 ).
fof(c_0_188,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
c_0_93 ).
fof(c_0_189,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
c_0_94 ).
fof(c_0_190,plain,
! [X14,X15,X16,X17,X18,X19] :
( ~ between(X19,X17,X15)
| ~ between(X18,X16,X15)
| ~ between(X19,X14,X18)
| between(X14,inner_pasch(X16,inner_pasch(X19,X14,X18,X16,X15),X19,X17,X15),X15)
| between(X17,inner_pasch(X16,inner_pasch(X19,X14,X18,X16,X15),X19,X17,X15),X16) ),
inference(variable_rename,[status(thm)],[c_0_95]) ).
fof(c_0_191,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X17,X16,X17,X15)
| ~ equidistant(X17,X13,X17,X12)
| ~ between(X17,X16,X13)
| ~ between(X16,X14,X13)
| equidistant(X17,X14,X17,continuous(X17,X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_96]) ).
fof(c_0_192,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X17,X16,X17,X15)
| ~ equidistant(X17,X13,X17,X12)
| ~ between(X17,X16,X13)
| ~ between(X16,X14,X13)
| between(X15,continuous(X17,X16,X15,X14,X13,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_97]) ).
fof(c_0_193,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X14,X12)
| ~ between(X15,X14,X13)
| X16 = X14
| between(euclid1(X16,X15,X14,X13,X12),X12,euclid2(X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_194,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X14,X12)
| ~ between(X15,X14,X13)
| X16 = X14
| between(X16,X13,euclid2(X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_195,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X14,X12)
| ~ between(X15,X14,X13)
| X16 = X14
| between(X16,X15,euclid1(X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_100]) ).
fof(c_0_196,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X15,X14)
| ~ between(X12,X13,X14)
| between(X13,inner_pasch(X16,X15,X14,X13,X12),X16) ),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_197,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X15,X14)
| ~ between(X12,X13,X14)
| between(X15,inner_pasch(X16,X15,X14,X13,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_198,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18] :
( ~ equidistant(X16,X14,X15,X13)
| ~ equidistant(X14,X12,X13,X11)
| ~ equidistant(X16,X18,X15,X17)
| ~ equidistant(X14,X18,X13,X17)
| ~ between(X16,X14,X12)
| ~ between(X15,X13,X11)
| X16 = X14
| equidistant(X12,X18,X11,X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_103])])]) ).
fof(c_0_199,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ~ equidistant(X21,X19,X20,X18)
| ~ equidistant(X19,X17,X18,X16)
| ~ equidistant(X21,X15,X20,X14)
| ~ equidistant(X17,X15,X16,X14)
| ~ between(X21,X19,X17)
| ~ between(X20,X18,X16)
| equidistant(X19,X15,X18,X14) ),
inference(variable_rename,[status(thm)],[c_0_104]) ).
fof(c_0_200,plain,
! [X14,X15,X16,X17,X18,X19,X20,X21] :
( ~ equidistant(X21,X19,X20,X18)
| ~ equidistant(X21,X17,X20,X16)
| ~ equidistant(X21,X15,X20,X14)
| ~ equidistant(X17,X15,X16,X14)
| ~ between(X21,X19,X17)
| ~ between(X20,X18,X16)
| equidistant(X19,X15,X18,X14) ),
inference(variable_rename,[status(thm)],[c_0_105]) ).
fof(c_0_201,plain,
! [X7,X8,X9,X10,X11] :
( ~ equidistant(X9,X10,X9,X11)
| ~ equidistant(X8,X10,X8,X11)
| ~ equidistant(X7,X10,X7,X11)
| between(X9,X8,X7)
| between(X8,X7,X9)
| between(X7,X9,X8)
| X10 = X11 ),
inference(variable_rename,[status(thm)],[c_0_106]) ).
fof(c_0_202,plain,
! [X14,X15,X16,X17,X18,X19] :
( ~ equidistant(X19,X17,X18,X16)
| ~ equidistant(X17,X15,X16,X14)
| ~ equidistant(X19,X15,X18,X14)
| ~ between(X19,X17,X15)
| between(X18,X16,X14) ),
inference(variable_rename,[status(thm)],[c_0_107]) ).
fof(c_0_203,plain,
! [X12,X13,X14,X15] : equidistant(X14,extension(X15,X14,lower_dimension_point_1,lower_dimension_point_2),X12,extension(X13,X12,lower_dimension_point_1,lower_dimension_point_2)),
inference(variable_rename,[status(thm)],[c_0_108]) ).
fof(c_0_204,plain,
! [X14,X15,X16,X17,X18] :
( ~ between(X18,X16,X15)
| ~ equidistant(X18,X15,X17,X14)
| equidistant(X16,X15,insertion(X17,X14,X18,X16),X14) ),
inference(variable_rename,[status(thm)],[c_0_109]) ).
fof(c_0_205,plain,
! [X14,X15,X16,X17,X18,X19] :
( ~ between(X19,X17,X15)
| ~ between(X18,X16,X14)
| ~ equidistant(X19,X17,X18,X16)
| ~ equidistant(X19,X15,X18,X14)
| equidistant(X17,X15,X16,X14) ),
inference(variable_rename,[status(thm)],[c_0_110]) ).
fof(c_0_206,plain,
! [X14,X15,X16,X17,X18,X19] :
( ~ equidistant(X19,X17,X18,X16)
| ~ equidistant(X17,X15,X16,X14)
| ~ between(X19,X17,X15)
| ~ between(X18,X16,X14)
| equidistant(X19,X15,X18,X14) ),
inference(variable_rename,[status(thm)],[c_0_111]) ).
fof(c_0_207,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X17,X16,X15,X14)
| ~ equidistant(X15,X14,X13,X12)
| equidistant(X17,X16,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_112]) ).
fof(c_0_208,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ equidistant(X9,X8,X7,X12)
| ~ equidistant(X9,X8,X11,X10)
| equidistant(X7,X12,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_113]) ).
fof(c_0_209,plain,
! [X14,X15,X16,X17,X18] :
( ~ between(X18,X16,X15)
| ~ equidistant(X18,X15,X17,X14)
| between(X17,insertion(X17,X14,X18,X16),X14) ),
inference(variable_rename,[status(thm)],[c_0_114]) ).
fof(c_0_210,plain,
! [X14,X15,X16,X17] : insertion(X16,X14,X17,X15) = extension(extension(X14,X16,lower_dimension_point_1,lower_dimension_point_2),X16,X17,X15),
inference(variable_rename,[status(thm)],[c_0_115]) ).
fof(c_0_211,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X15,X14,X13,X12)
| extension(X17,X16,X15,X14) = extension(X17,X16,X13,X12)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_116])])]) ).
fof(c_0_212,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X15,X14,X13,X12)
| insertion(X17,X16,X15,X14) = insertion(X17,X16,X13,X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_117])])]) ).
fof(c_0_213,plain,
! [X13,X14,X15,X16] :
( ~ between(X16,X15,X14)
| ~ equidistant(X16,X14,X16,X13)
| ~ equidistant(X15,X14,X15,X13)
| X16 = X15
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_118]) ).
fof(c_0_214,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ equidistant(X15,X14,X15,X12)
| ~ equidistant(X13,X14,X13,X12)
| X14 = X12 ),
inference(variable_rename,[status(thm)],[c_0_119]) ).
fof(c_0_215,plain,
! [X14,X15,X16,X17] : equidistant(X17,X15,X16,insertion(X16,X14,X17,X15)),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_216,plain,
! [X7,X8,X9,X10] : equidistant(X7,extension(X8,X7,X9,X10),X9,X10),
inference(variable_rename,[status(thm)],[c_0_121]) ).
fof(c_0_217,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X12,X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_122]) ).
fof(c_0_218,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X12,X13,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_123]) ).
fof(c_0_219,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X13,X12,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_124]) ).
fof(c_0_220,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X14,X15,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_125]) ).
fof(c_0_221,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X15,X14,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_126]) ).
fof(c_0_222,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X14,X15,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_127]) ).
fof(c_0_223,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X13,X12,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_128]) ).
fof(c_0_224,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X14,X12)
| ~ equidistant(X14,X13,X14,X12)
| X15 = X14
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_129]) ).
fof(c_0_225,plain,
! [X7,X8,X9,X10] : between(X8,X7,extension(X8,X7,X9,X10)),
inference(variable_rename,[status(thm)],[c_0_130]) ).
fof(c_0_226,plain,
! [X12,X13] : between(X13,X12,extension(X13,X12,lower_dimension_point_1,lower_dimension_point_2)),
inference(variable_rename,[status(thm)],[c_0_131]) ).
fof(c_0_227,plain,
! [X12,X13] :
( extension(X13,X12,X13,X12) = extension(X13,X12,X12,X13)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_132]) ).
fof(c_0_228,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ equidistant(X14,X13,X14,X12)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_133]) ).
fof(c_0_229,plain,
! [X12,X13,X14,X15,X16] :
( X12 != extension(X16,X15,X14,X13)
| between(X16,X15,X12) ),
inference(variable_rename,[status(thm)],[c_0_134]) ).
fof(c_0_230,plain,
! [X4,X5,X6] :
( ~ equidistant(X6,X5,X4,X4)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_135]) ).
fof(c_0_231,plain,
! [X12,X13] : X12 != extension(X13,X12,lower_dimension_point_1,lower_dimension_point_2),
inference(variable_rename,[status(thm)],[c_0_136]) ).
fof(c_0_232,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| X14 = X13
| X12 = extension(X14,X13,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_137]) ).
fof(c_0_233,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| X13 = insertion(X14,X12,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_138]) ).
fof(c_0_234,plain,
! [X12,X13] : equidistant(X12,X13,X12,reflection(reflection(X13,X12),X12)),
inference(variable_rename,[status(thm)],[c_0_139]) ).
fof(c_0_235,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X15,X12)
| ~ between(X15,X14,X13)
| ~ between(X16,X13,X12)
| between(X16,X14,X12) ),
inference(variable_rename,[status(thm)],[c_0_140]) ).
fof(c_0_236,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X13,X12)
| ~ between(X14,X13,X12)
| X13 = X12
| between(X15,X14,X13)
| between(X14,X15,X13) ),
inference(variable_rename,[status(thm)],[c_0_141]) ).
fof(c_0_237,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X14,X12)
| X15 = X14
| between(X14,X13,X12)
| between(X14,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_142]) ).
fof(c_0_238,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X14,X12)
| X15 = X14
| between(X15,X13,X12)
| between(X15,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_143]) ).
fof(c_0_239,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X12)
| ~ between(X15,X13,X12)
| between(X14,X13,X12)
| between(X13,X14,X12) ),
inference(variable_rename,[status(thm)],[c_0_144]) ).
fof(c_0_240,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X12)
| ~ between(X15,X13,X12)
| between(X15,X14,X13)
| between(X15,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_145]) ).
fof(c_0_241,plain,
! [X12,X13] : equidistant(X12,reflection(X13,X12),X13,X12),
inference(variable_rename,[status(thm)],[c_0_146]) ).
fof(c_0_242,plain,
! [X12,X13] : reflection(X13,X12) = extension(X13,X12,X13,X12),
inference(variable_rename,[status(thm)],[c_0_147]) ).
fof(c_0_243,plain,
! [X4,X5,X6] :
( ~ colinear(X6,X5,X4)
| between(X6,X5,X4)
| between(X5,X4,X6)
| between(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_148]) ).
fof(c_0_244,plain,
! [X12,X13,X14] : X13 = extension(X14,X13,X12,X12),
inference(variable_rename,[status(thm)],[c_0_149]) ).
fof(c_0_245,plain,
! [X12,X13] : equidistant(X13,X13,X12,X12),
inference(variable_rename,[status(thm)],[c_0_150]) ).
fof(c_0_246,plain,
! [X12,X13] : equidistant(X13,X12,X13,X12),
inference(variable_rename,[status(thm)],[c_0_151]) ).
fof(c_0_247,plain,
! [X3,X4] : equidistant(X4,X3,X3,X4),
inference(variable_rename,[status(thm)],[c_0_152]) ).
fof(c_0_248,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X14,X13,X12)
| between(X15,X14,X12)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_153]) ).
fof(c_0_249,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X14,X13,X12)
| between(X15,X13,X12)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_154]) ).
fof(c_0_250,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X13,X12)
| between(X15,X14,X12) ),
inference(variable_rename,[status(thm)],[c_0_155]) ).
fof(c_0_251,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X12)
| ~ between(X14,X13,X12)
| between(X15,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_156]) ).
fof(c_0_252,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X13,X12)
| between(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_157]) ).
fof(c_0_253,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X14,X13,X12)
| between(X15,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_158]) ).
fof(c_0_254,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X14,X12,X13)
| X14 = X13
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_159]) ).
fof(c_0_255,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X13,X14,X12)
| X14 = X13
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_160]) ).
fof(c_0_256,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X14,X12,X13)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_161]) ).
fof(c_0_257,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X13,X14,X12)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_162]) ).
fof(c_0_258,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X13,X12)
| X15 != X12
| between(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_163]) ).
fof(c_0_259,plain,
! [X12,X13,X14] :
( ~ colinear(X14,X13,X12)
| colinear(X13,X14,X12) ),
inference(variable_rename,[status(thm)],[c_0_164]) ).
fof(c_0_260,plain,
! [X12,X13,X14] :
( ~ colinear(X14,X13,X12)
| colinear(X12,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_165]) ).
fof(c_0_261,plain,
! [X12,X13,X14] :
( ~ colinear(X14,X13,X12)
| colinear(X14,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_166]) ).
fof(c_0_262,plain,
! [X12,X13,X14] :
( ~ colinear(X14,X13,X12)
| colinear(X13,X12,X14) ),
inference(variable_rename,[status(thm)],[c_0_167]) ).
fof(c_0_263,plain,
! [X12,X13,X14] :
( ~ colinear(X14,X13,X12)
| colinear(X12,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_168]) ).
fof(c_0_264,plain,
! [X12,X13,X14] :
( ~ between(X13,X14,X12)
| colinear(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_169]) ).
fof(c_0_265,plain,
! [X12,X13,X14] :
( ~ between(X14,X12,X13)
| colinear(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_170]) ).
fof(c_0_266,plain,
! [X12,X13,X14] :
( ~ between(X12,X13,X14)
| colinear(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_171]) ).
fof(c_0_267,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| between(X12,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_172]) ).
fof(c_0_268,plain,
! [X4,X5,X6] :
( ~ between(X4,X6,X5)
| colinear(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_173]) ).
fof(c_0_269,plain,
! [X4,X5,X6] :
( ~ between(X5,X4,X6)
| colinear(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_174]) ).
fof(c_0_270,plain,
! [X4,X5,X6] :
( ~ between(X6,X5,X4)
| colinear(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_175]) ).
fof(c_0_271,plain,
! [X3,X4] :
( ~ between(X4,X3,X4)
| X4 = X3 ),
inference(variable_rename,[status(thm)],[c_0_176]) ).
fof(c_0_272,plain,
! [X12,X13] : between(X13,X12,reflection(X13,X12)),
inference(variable_rename,[status(thm)],[c_0_177]) ).
fof(c_0_273,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
c_0_178 ).
fof(c_0_274,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
c_0_179 ).
fof(c_0_275,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_180 ).
fof(c_0_276,plain,
! [X12,X13] : between(X13,X13,X12),
inference(variable_rename,[status(thm)],[c_0_181]) ).
fof(c_0_277,plain,
! [X12,X13] : between(X13,X12,X12),
inference(variable_rename,[status(thm)],[c_0_182]) ).
fof(c_0_278,plain,
! [X12,X13] : X13 = reflection(reflection(X13,X12),X12),
inference(variable_rename,[status(thm)],[c_0_183]) ).
fof(c_0_279,plain,
! [X12,X13] :
( X12 != reflection(X13,X12)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_184]) ).
fof(c_0_280,plain,
! [X12,X13] :
( X13 != X12
| X12 = reflection(X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_185]) ).
fof(c_0_281,plain,
! [X12] : X12 = reflection(X12,X12),
inference(variable_rename,[status(thm)],[c_0_186]) ).
fof(c_0_282,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
c_0_187 ).
fof(c_0_283,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
c_0_188 ).
fof(c_0_284,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
c_0_189 ).
cnf(c_0_285,plain,
( between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)
| between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X5,X2,X6)
| ~ between(X3,X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_286,plain,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_287,plain,
( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_288,plain,
( between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_289,plain,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_290,plain,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_291,plain,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_292,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_293,plain,
( equidistant(X1,X2,X3,X4)
| X5 = X6
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_294,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_295,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_296,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_297,plain,
( between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X4,X6,X1,X3)
| ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_298,plain,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_299,plain,
( equidistant(X1,X2,insertion(X3,X4,X5,X1),X4)
| ~ equidistant(X5,X2,X3,X4)
| ~ between(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_300,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3)
| ~ between(X6,X3,X4)
| ~ between(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_301,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X3,X5,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_302,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_303,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_304,plain,
( between(X1,insertion(X1,X2,X3,X4),X2)
| ~ equidistant(X3,X5,X1,X2)
| ~ between(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_305,plain,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_306,plain,
( X1 = X2
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_307,plain,
( insertion(X1,X2,X3,X4) = insertion(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_308,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_309,plain,
( X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_310,plain,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_311,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_312,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_313,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_314,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_315,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_316,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_317,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_318,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_319,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_320,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_321,plain,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_322,plain,
( X1 = X2
| extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_323,plain,
( X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_324,plain,
( between(X1,X2,X3)
| X3 != extension(X1,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_325,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_326,plain,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_327,plain,
( X1 = extension(X2,X3,X3,X1)
| X2 = X3
| ~ between(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_328,plain,
( X1 = insertion(X2,X3,X2,X1)
| ~ between(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_329,plain,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_330,plain,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X5,X2,X4)
| ~ between(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_331,plain,
( between(X1,X2,X3)
| between(X2,X1,X3)
| X3 = X4
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_332,plain,
( between(X1,X2,X3)
| between(X1,X3,X2)
| X4 = X1
| ~ between(X4,X1,X2)
| ~ between(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_333,plain,
( between(X1,X2,X3)
| between(X1,X3,X2)
| X1 = X4
| ~ between(X1,X4,X2)
| ~ between(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_334,plain,
( between(X1,X2,X3)
| between(X2,X1,X3)
| ~ between(X4,X1,X3)
| ~ between(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_335,plain,
( between(X1,X2,X3)
| between(X1,X3,X2)
| ~ between(X1,X2,X4)
| ~ between(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_336,plain,
equidistant(X1,reflection(X2,X1),X2,X1),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_337,plain,
reflection(X1,X2) = extension(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_338,plain,
( between(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| ~ colinear(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_339,plain,
X1 = extension(X2,X1,X3,X3),
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_340,plain,
equidistant(X1,X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_341,plain,
equidistant(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_342,plain,
equidistant(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_343,plain,
( X1 = X2
| between(X3,X1,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_344,plain,
( X1 = X2
| between(X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_345,plain,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_346,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_347,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_348,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_349,plain,
( X1 = X2
| X3 = X1
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_350,plain,
( X1 = X2
| X3 = X1
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_351,plain,
( X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_256]) ).
cnf(c_0_352,plain,
( X1 = X2
| ~ between(X2,X1,X3)
| ~ between(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_353,plain,
( between(X1,X2,X3)
| X4 != X3
| ~ between(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_258]) ).
cnf(c_0_354,plain,
( colinear(X1,X2,X3)
| ~ colinear(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_259]) ).
cnf(c_0_355,plain,
( colinear(X1,X2,X3)
| ~ colinear(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_260]) ).
cnf(c_0_356,plain,
( colinear(X1,X2,X3)
| ~ colinear(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_357,plain,
( colinear(X1,X2,X3)
| ~ colinear(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_358,plain,
( colinear(X1,X2,X3)
| ~ colinear(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_359,plain,
( colinear(X1,X2,X3)
| ~ between(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_264]) ).
cnf(c_0_360,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_361,plain,
( colinear(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_266]) ).
cnf(c_0_362,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_363,plain,
( colinear(X1,X2,X3)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_364,plain,
( colinear(X1,X2,X3)
| ~ between(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_365,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_270]) ).
cnf(c_0_366,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_271]) ).
cnf(c_0_367,plain,
between(X1,X2,reflection(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_368,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_369,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(split_conjunct,[status(thm)],[c_0_274]) ).
cnf(c_0_370,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(split_conjunct,[status(thm)],[c_0_275]) ).
cnf(c_0_371,plain,
between(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_276]) ).
cnf(c_0_372,plain,
between(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_277]) ).
cnf(c_0_373,plain,
X1 = reflection(reflection(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_278]) ).
cnf(c_0_374,plain,
( X1 = X2
| X2 != reflection(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_375,plain,
( X1 = reflection(X2,X1)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_280]) ).
cnf(c_0_376,plain,
X1 = reflection(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_281]) ).
cnf(c_0_377,plain,
lower_dimension_point_1 != lower_dimension_point_3,
inference(split_conjunct,[status(thm)],[c_0_282]) ).
cnf(c_0_378,plain,
lower_dimension_point_2 != lower_dimension_point_3,
inference(split_conjunct,[status(thm)],[c_0_283]) ).
cnf(c_0_379,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_380,plain,
( between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)
| between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X5,X2,X6)
| ~ between(X3,X1,X6) ),
c_0_285,
[final] ).
cnf(c_0_381,plain,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
c_0_286,
[final] ).
cnf(c_0_382,plain,
( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
c_0_287,
[final] ).
cnf(c_0_383,plain,
( between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
c_0_288,
[final] ).
cnf(c_0_384,plain,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
c_0_289,
[final] ).
cnf(c_0_385,plain,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
c_0_290,
[final] ).
cnf(c_0_386,plain,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
c_0_291,
[final] ).
cnf(c_0_387,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
c_0_292,
[final] ).
cnf(c_0_388,plain,
( equidistant(X1,X2,X3,X4)
| X5 = X6
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
c_0_293,
[final] ).
cnf(c_0_389,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
c_0_294,
[final] ).
cnf(c_0_390,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
c_0_295,
[final] ).
cnf(c_0_391,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
c_0_296,
[final] ).
cnf(c_0_392,plain,
( between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X4,X6,X1,X3)
| ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X5,X1,X2) ),
c_0_297,
[final] ).
cnf(c_0_393,plain,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
c_0_298,
[final] ).
cnf(c_0_394,plain,
( equidistant(X1,X2,insertion(X3,X4,X5,X1),X4)
| ~ equidistant(X5,X2,X3,X4)
| ~ between(X5,X1,X2) ),
c_0_299,
[final] ).
cnf(c_0_395,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3)
| ~ between(X6,X3,X4)
| ~ between(X5,X1,X2) ),
c_0_300,
[final] ).
cnf(c_0_396,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X3,X5,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
c_0_301,
[final] ).
cnf(c_0_397,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
c_0_302,
[final] ).
cnf(c_0_398,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
c_0_303,
[final] ).
cnf(c_0_399,plain,
( between(X1,insertion(X1,X2,X3,X4),X2)
| ~ equidistant(X3,X5,X1,X2)
| ~ between(X3,X4,X5) ),
c_0_304,
[final] ).
cnf(c_0_400,plain,
extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4) = insertion(X1,X2,X3,X4),
c_0_305,
[final] ).
cnf(c_0_401,plain,
( X1 = X2
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
c_0_306,
[final] ).
cnf(c_0_402,plain,
( insertion(X1,X2,X3,X4) = insertion(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
c_0_307,
[final] ).
cnf(c_0_403,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X4,X1) ),
c_0_308,
[final] ).
cnf(c_0_404,plain,
( X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X4,X1,X3) ),
c_0_309,
[final] ).
cnf(c_0_405,plain,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
c_0_310,
[final] ).
cnf(c_0_406,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
c_0_311,
[final] ).
cnf(c_0_407,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X2,X1) ),
c_0_312,
[final] ).
cnf(c_0_408,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X2,X1) ),
c_0_313,
[final] ).
cnf(c_0_409,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
c_0_314,
[final] ).
cnf(c_0_410,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X4,X3) ),
c_0_315,
[final] ).
cnf(c_0_411,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X4,X3) ),
c_0_316,
[final] ).
cnf(c_0_412,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X3,X4) ),
c_0_317,
[final] ).
cnf(c_0_413,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
c_0_318,
[final] ).
cnf(c_0_414,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
c_0_319,
[final] ).
cnf(c_0_415,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
c_0_320,
[final] ).
cnf(c_0_416,plain,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
c_0_321,
[final] ).
cnf(c_0_417,plain,
( X1 = X2
| extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
c_0_322,
[final] ).
cnf(c_0_418,plain,
( X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X1,X2) ),
c_0_323,
[final] ).
cnf(c_0_419,plain,
( between(X1,X2,X3)
| X3 != extension(X1,X2,X4,X5) ),
c_0_324,
[final] ).
cnf(c_0_420,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_325,
[final] ).
cnf(c_0_421,plain,
extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
c_0_326,
[final] ).
cnf(c_0_422,plain,
( extension(X2,X3,X3,X1) = X1
| X2 = X3
| ~ between(X2,X3,X1) ),
c_0_327,
[final] ).
cnf(c_0_423,plain,
( insertion(X2,X3,X2,X1) = X1
| ~ between(X2,X1,X3) ),
c_0_328,
[final] ).
cnf(c_0_424,plain,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
c_0_329,
[final] ).
cnf(c_0_425,plain,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X5,X2,X4)
| ~ between(X1,X5,X3) ),
c_0_330,
[final] ).
cnf(c_0_426,plain,
( between(X1,X2,X3)
| between(X2,X1,X3)
| X3 = X4
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X4) ),
c_0_331,
[final] ).
cnf(c_0_427,plain,
( between(X1,X2,X3)
| between(X1,X3,X2)
| X4 = X1
| ~ between(X4,X1,X2)
| ~ between(X4,X1,X3) ),
c_0_332,
[final] ).
cnf(c_0_428,plain,
( between(X1,X2,X3)
| between(X1,X3,X2)
| X1 = X4
| ~ between(X1,X4,X2)
| ~ between(X1,X4,X3) ),
c_0_333,
[final] ).
cnf(c_0_429,plain,
( between(X1,X2,X3)
| between(X2,X1,X3)
| ~ between(X4,X1,X3)
| ~ between(X4,X2,X3) ),
c_0_334,
[final] ).
cnf(c_0_430,plain,
( between(X1,X2,X3)
| between(X1,X3,X2)
| ~ between(X1,X2,X4)
| ~ between(X1,X3,X4) ),
c_0_335,
[final] ).
cnf(c_0_431,plain,
equidistant(X1,reflection(X2,X1),X2,X1),
c_0_336,
[final] ).
cnf(c_0_432,plain,
extension(X1,X2,X1,X2) = reflection(X1,X2),
c_0_337,
[final] ).
cnf(c_0_433,plain,
( between(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| ~ colinear(X2,X3,X1) ),
c_0_338,
[final] ).
cnf(c_0_434,plain,
extension(X2,X1,X3,X3) = X1,
c_0_339,
[final] ).
cnf(c_0_435,plain,
equidistant(X1,X1,X2,X2),
c_0_340,
[final] ).
cnf(c_0_436,plain,
equidistant(X1,X2,X1,X2),
c_0_341,
[final] ).
cnf(c_0_437,plain,
equidistant(X1,X2,X2,X1),
c_0_342,
[final] ).
cnf(c_0_438,plain,
( X1 = X2
| between(X3,X1,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
c_0_343,
[final] ).
cnf(c_0_439,plain,
( X1 = X2
| between(X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
c_0_344,
[final] ).
cnf(c_0_440,plain,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X1,X2,X4) ),
c_0_345,
[final] ).
cnf(c_0_441,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X1,X4,X3) ),
c_0_346,
[final] ).
cnf(c_0_442,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X4,X1,X2) ),
c_0_347,
[final] ).
cnf(c_0_443,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X3) ),
c_0_348,
[final] ).
cnf(c_0_444,plain,
( X1 = X2
| X3 = X1
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
c_0_349,
[final] ).
cnf(c_0_445,plain,
( X1 = X2
| X3 = X1
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
c_0_350,
[final] ).
cnf(c_0_446,plain,
( X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
c_0_351,
[final] ).
cnf(c_0_447,plain,
( X1 = X2
| ~ between(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c_0_352,
[final] ).
cnf(c_0_448,plain,
( between(X1,X2,X3)
| X4 != X3
| ~ between(X4,X2,X3) ),
c_0_353,
[final] ).
cnf(c_0_449,plain,
( colinear(X1,X2,X3)
| ~ colinear(X2,X1,X3) ),
c_0_354,
[final] ).
cnf(c_0_450,plain,
( colinear(X1,X2,X3)
| ~ colinear(X2,X3,X1) ),
c_0_355,
[final] ).
cnf(c_0_451,plain,
( colinear(X1,X2,X3)
| ~ colinear(X1,X3,X2) ),
c_0_356,
[final] ).
cnf(c_0_452,plain,
( colinear(X1,X2,X3)
| ~ colinear(X3,X1,X2) ),
c_0_357,
[final] ).
cnf(c_0_453,plain,
( colinear(X1,X2,X3)
| ~ colinear(X3,X2,X1) ),
c_0_358,
[final] ).
cnf(c_0_454,plain,
( colinear(X1,X2,X3)
| ~ between(X2,X1,X3) ),
c_0_359,
[final] ).
cnf(c_0_455,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X3,X2) ),
c_0_360,
[final] ).
cnf(c_0_456,plain,
( colinear(X1,X2,X3)
| ~ between(X3,X2,X1) ),
c_0_361,
[final] ).
cnf(c_0_457,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
c_0_362,
[final] ).
cnf(c_0_458,plain,
( colinear(X1,X2,X3)
| ~ between(X3,X1,X2) ),
c_0_363,
[final] ).
cnf(c_0_459,plain,
( colinear(X1,X2,X3)
| ~ between(X2,X3,X1) ),
c_0_364,
[final] ).
cnf(c_0_460,plain,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
c_0_365,
[final] ).
cnf(c_0_461,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_366,
[final] ).
cnf(c_0_462,plain,
between(X1,X2,reflection(X1,X2)),
c_0_367,
[final] ).
cnf(c_0_463,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
c_0_368,
[final] ).
cnf(c_0_464,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
c_0_369,
[final] ).
cnf(c_0_465,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_370,
[final] ).
cnf(c_0_466,plain,
between(X1,X1,X2),
c_0_371,
[final] ).
cnf(c_0_467,plain,
between(X1,X2,X2),
c_0_372,
[final] ).
cnf(c_0_468,plain,
reflection(reflection(X1,X2),X2) = X1,
c_0_373,
[final] ).
cnf(c_0_469,plain,
( X1 = X2
| reflection(X1,X2) != X2 ),
c_0_374,
[final] ).
cnf(c_0_470,plain,
( reflection(X2,X1) = X1
| X2 != X1 ),
c_0_375,
[final] ).
cnf(c_0_471,plain,
reflection(X1,X1) = X1,
c_0_376,
[final] ).
cnf(c_0_472,plain,
lower_dimension_point_3 != lower_dimension_point_1,
c_0_377,
[final] ).
cnf(c_0_473,plain,
lower_dimension_point_3 != lower_dimension_point_2,
c_0_378,
[final] ).
cnf(c_0_474,plain,
lower_dimension_point_2 != lower_dimension_point_1,
c_0_379,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_380_0,axiom,
( between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)
| between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X5,X2,X6)
| ~ between(X3,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_1,axiom,
( between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)
| ~ between(X3,X4,X5)
| ~ between(X5,X2,X6)
| ~ between(X3,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_2,axiom,
( ~ between(X3,X4,X5)
| between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)
| ~ between(X5,X2,X6)
| ~ between(X3,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_3,axiom,
( ~ between(X5,X2,X6)
| ~ between(X3,X4,X5)
| between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2)
| ~ between(X3,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_4,axiom,
( ~ between(X3,X1,X6)
| ~ between(X5,X2,X6)
| ~ between(X3,X4,X5)
| between(X4,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X6)
| between(X1,inner_pasch(X2,inner_pasch(X3,X4,X5,X2,X6),X3,X1,X6),X2) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_381_0,axiom,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_1,axiom,
( ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_2,axiom,
( ~ between(X1,X3,X5)
| ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_3,axiom,
( ~ equidistant(X1,X5,X1,X6)
| ~ between(X1,X3,X5)
| ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_4,axiom,
( ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X1,X5,X1,X6)
| ~ between(X1,X3,X5)
| ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_382_0,axiom,
( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_1,axiom,
( ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_2,axiom,
( ~ between(X2,X3,X5)
| ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_3,axiom,
( ~ equidistant(X2,X5,X2,X6)
| ~ between(X2,X3,X5)
| ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_4,axiom,
( ~ equidistant(X2,X3,X2,X1)
| ~ equidistant(X2,X5,X2,X6)
| ~ between(X2,X3,X5)
| ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_383_0,axiom,
( between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_383_1,axiom,
( X1 = X3
| between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_383_2,axiom,
( ~ between(X2,X3,X4)
| X1 = X3
| between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_383_3,axiom,
( ~ between(X1,X3,X5)
| ~ between(X2,X3,X4)
| X1 = X3
| between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_384_0,axiom,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_384_1,axiom,
( X1 = X4
| between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_384_2,axiom,
( ~ between(X3,X4,X2)
| X1 = X4
| between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| ~ between(X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_384_3,axiom,
( ~ between(X1,X4,X5)
| ~ between(X3,X4,X2)
| X1 = X4
| between(X1,X2,euclid2(X1,X3,X4,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_385_0,axiom,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_385_1,axiom,
( X1 = X3
| between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_385_2,axiom,
( ~ between(X2,X3,X4)
| X1 = X3
| between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_385_3,axiom,
( ~ between(X1,X3,X5)
| ~ between(X2,X3,X4)
| X1 = X3
| between(X1,X2,euclid1(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_386_0,axiom,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_386_1,axiom,
( ~ between(X5,X1,X4)
| between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_386_2,axiom,
( ~ between(X2,X3,X4)
| ~ between(X5,X1,X4)
| between(X1,inner_pasch(X2,X3,X4,X1,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_387_0,axiom,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_387_1,axiom,
( ~ between(X5,X4,X3)
| between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_387_2,axiom,
( ~ between(X2,X1,X3)
| ~ between(X5,X4,X3)
| between(X1,inner_pasch(X2,X1,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_388_0,axiom,
( equidistant(X1,X2,X3,X4)
| X5 = X6
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_1,axiom,
( X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_2,axiom,
( ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_3,axiom,
( ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_4,axiom,
( ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_5,axiom,
( ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_6,axiom,
( ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_7,axiom,
( ~ equidistant(X5,X6,X7,X8)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_389_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_1,axiom,
( ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_2,axiom,
( ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_3,axiom,
( ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_4,axiom,
( ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_5,axiom,
( ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_6,axiom,
( ~ equidistant(X7,X1,X5,X3)
| ~ equidistant(X1,X8,X3,X6)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_390_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ between(X5,X3,X6)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_1,axiom,
( ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ between(X7,X1,X8)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_2,axiom,
( ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_3,axiom,
( ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_4,axiom,
( ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_5,axiom,
( ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X7,X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_6,axiom,
( ~ equidistant(X7,X1,X5,X3)
| ~ equidistant(X7,X8,X5,X6)
| ~ equidistant(X7,X2,X5,X4)
| ~ equidistant(X8,X2,X6,X4)
| ~ between(X7,X1,X8)
| ~ between(X5,X3,X6)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_391_0,axiom,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_1,axiom,
( between(X3,X4,X5)
| X1 = X2
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_2,axiom,
( between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_3,axiom,
( between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_4,axiom,
( ~ equidistant(X3,X1,X3,X2)
| between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_5,axiom,
( ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X3,X1,X3,X2)
| between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_6,axiom,
( ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X3,X1,X3,X2)
| between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_392_0,axiom,
( between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X4,X6,X1,X3)
| ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_1,axiom,
( ~ between(X4,X5,X6)
| between(X1,X2,X3)
| ~ equidistant(X4,X6,X1,X3)
| ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_2,axiom,
( ~ equidistant(X4,X6,X1,X3)
| ~ between(X4,X5,X6)
| between(X1,X2,X3)
| ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_3,axiom,
( ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X6,X1,X3)
| ~ between(X4,X5,X6)
| between(X1,X2,X3)
| ~ equidistant(X4,X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_4,axiom,
( ~ equidistant(X4,X5,X1,X2)
| ~ equidistant(X5,X6,X2,X3)
| ~ equidistant(X4,X6,X1,X3)
| ~ between(X4,X5,X6)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_394_0,axiom,
( equidistant(X1,X2,insertion(X3,X4,X5,X1),X4)
| ~ equidistant(X5,X2,X3,X4)
| ~ between(X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_394_1,axiom,
( ~ equidistant(X5,X2,X3,X4)
| equidistant(X1,X2,insertion(X3,X4,X5,X1),X4)
| ~ between(X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_394_2,axiom,
( ~ between(X5,X1,X2)
| ~ equidistant(X5,X2,X3,X4)
| equidistant(X1,X2,insertion(X3,X4,X5,X1),X4) ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_395_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3)
| ~ between(X6,X3,X4)
| ~ between(X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_1,axiom,
( ~ equidistant(X5,X2,X6,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X1,X6,X3)
| ~ between(X6,X3,X4)
| ~ between(X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_2,axiom,
( ~ equidistant(X5,X1,X6,X3)
| ~ equidistant(X5,X2,X6,X4)
| equidistant(X1,X2,X3,X4)
| ~ between(X6,X3,X4)
| ~ between(X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_3,axiom,
( ~ between(X6,X3,X4)
| ~ equidistant(X5,X1,X6,X3)
| ~ equidistant(X5,X2,X6,X4)
| equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_4,axiom,
( ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| ~ equidistant(X5,X1,X6,X3)
| ~ equidistant(X5,X2,X6,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_396_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ between(X3,X5,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_1,axiom,
( ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_2,axiom,
( ~ between(X1,X6,X2)
| ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_3,axiom,
( ~ equidistant(X6,X2,X5,X4)
| ~ between(X1,X6,X2)
| ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_4,axiom,
( ~ equidistant(X1,X6,X3,X5)
| ~ equidistant(X6,X2,X5,X4)
| ~ between(X1,X6,X2)
| ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_397_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_397_1,axiom,
( ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_397_2,axiom,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_398_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_398_1,axiom,
( ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_398_2,axiom,
( ~ equidistant(X5,X6,X1,X2)
| ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_399_0,axiom,
( between(X1,insertion(X1,X2,X3,X4),X2)
| ~ equidistant(X3,X5,X1,X2)
| ~ between(X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_399_1,axiom,
( ~ equidistant(X3,X5,X1,X2)
| between(X1,insertion(X1,X2,X3,X4),X2)
| ~ between(X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_399_2,axiom,
( ~ between(X3,X4,X5)
| ~ equidistant(X3,X5,X1,X2)
| between(X1,insertion(X1,X2,X3,X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_401_0,axiom,
( X1 = X2
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_401_1,axiom,
( extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| X1 = X2
| ~ equidistant(X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_401_2,axiom,
( ~ equidistant(X3,X4,X5,X6)
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_402_0,axiom,
( insertion(X1,X2,X3,X4) = insertion(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_402]) ).
cnf(c_0_402_1,axiom,
( ~ equidistant(X3,X4,X5,X6)
| insertion(X1,X2,X3,X4) = insertion(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_402]) ).
cnf(c_0_403_0,axiom,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_403_1,axiom,
( X3 = X4
| X1 = X2
| ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_403_2,axiom,
( ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_403_3,axiom,
( ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_403_4,axiom,
( ~ between(X3,X4,X1)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_404_0,axiom,
( X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_404_1,axiom,
( ~ equidistant(X3,X1,X3,X2)
| X1 = X2
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_404_2,axiom,
( ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X3,X1,X3,X2)
| X1 = X2
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_404_3,axiom,
( ~ between(X4,X1,X3)
| ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X3,X1,X3,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_407_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_407]) ).
cnf(c_0_407_1,axiom,
( ~ equidistant(X4,X3,X2,X1)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_407]) ).
cnf(c_0_408_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_408]) ).
cnf(c_0_408_1,axiom,
( ~ equidistant(X3,X4,X2,X1)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_408]) ).
cnf(c_0_409_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_409]) ).
cnf(c_0_409_1,axiom,
( ~ equidistant(X4,X3,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_409]) ).
cnf(c_0_410_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_410]) ).
cnf(c_0_410_1,axiom,
( ~ equidistant(X2,X1,X4,X3)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_410]) ).
cnf(c_0_411_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_411]) ).
cnf(c_0_411_1,axiom,
( ~ equidistant(X1,X2,X4,X3)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_411]) ).
cnf(c_0_412_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_412]) ).
cnf(c_0_412_1,axiom,
( ~ equidistant(X2,X1,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_412]) ).
cnf(c_0_413_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_413]) ).
cnf(c_0_413_1,axiom,
( ~ equidistant(X3,X4,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_413]) ).
cnf(c_0_414_0,axiom,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_414_1,axiom,
( X3 = X4
| X1 = X2
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_414_2,axiom,
( ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_414_3,axiom,
( ~ between(X3,X4,X2)
| ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_414_4,axiom,
( ~ between(X3,X4,X1)
| ~ between(X3,X4,X2)
| ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_417_0,axiom,
( X1 = X2
| extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_417]) ).
cnf(c_0_417_1,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_417]) ).
cnf(c_0_418_0,axiom,
( X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_418_1,axiom,
( ~ equidistant(X3,X1,X3,X2)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_418_2,axiom,
( ~ between(X3,X1,X2)
| ~ equidistant(X3,X1,X3,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_419_0,axiom,
( between(X1,X2,X3)
| X3 != extension(X1,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_419]) ).
cnf(c_0_419_1,axiom,
( X3 != extension(X1,X2,X4,X5)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_419]) ).
cnf(c_0_420_0,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(literals_permutation,[status(thm)],[c_0_420]) ).
cnf(c_0_420_1,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_420]) ).
cnf(c_0_422_0,axiom,
( extension(X2,X3,X3,X1) = X1
| X2 = X3
| ~ between(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_422]) ).
cnf(c_0_422_1,axiom,
( X2 = X3
| extension(X2,X3,X3,X1) = X1
| ~ between(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_422]) ).
cnf(c_0_422_2,axiom,
( ~ between(X2,X3,X1)
| X2 = X3
| extension(X2,X3,X3,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_422]) ).
cnf(c_0_423_0,axiom,
( insertion(X2,X3,X2,X1) = X1
| ~ between(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_423]) ).
cnf(c_0_423_1,axiom,
( ~ between(X2,X1,X3)
| insertion(X2,X3,X2,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_423]) ).
cnf(c_0_425_0,axiom,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X5,X2,X4)
| ~ between(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_425]) ).
cnf(c_0_425_1,axiom,
( ~ between(X1,X4,X3)
| between(X1,X2,X3)
| ~ between(X5,X2,X4)
| ~ between(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_425]) ).
cnf(c_0_425_2,axiom,
( ~ between(X5,X2,X4)
| ~ between(X1,X4,X3)
| between(X1,X2,X3)
| ~ between(X1,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_425]) ).
cnf(c_0_425_3,axiom,
( ~ between(X1,X5,X3)
| ~ between(X5,X2,X4)
| ~ between(X1,X4,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_425]) ).
cnf(c_0_426_0,axiom,
( between(X1,X2,X3)
| between(X2,X1,X3)
| X3 = X4
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_426_1,axiom,
( between(X2,X1,X3)
| between(X1,X2,X3)
| X3 = X4
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_426_2,axiom,
( X3 = X4
| between(X2,X1,X3)
| between(X1,X2,X3)
| ~ between(X1,X3,X4)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_426_3,axiom,
( ~ between(X1,X3,X4)
| X3 = X4
| between(X2,X1,X3)
| between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_426_4,axiom,
( ~ between(X2,X3,X4)
| ~ between(X1,X3,X4)
| X3 = X4
| between(X2,X1,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_427_0,axiom,
( between(X1,X2,X3)
| between(X1,X3,X2)
| X4 = X1
| ~ between(X4,X1,X2)
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_427_1,axiom,
( between(X1,X3,X2)
| between(X1,X2,X3)
| X4 = X1
| ~ between(X4,X1,X2)
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_427_2,axiom,
( X4 = X1
| between(X1,X3,X2)
| between(X1,X2,X3)
| ~ between(X4,X1,X2)
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_427_3,axiom,
( ~ between(X4,X1,X2)
| X4 = X1
| between(X1,X3,X2)
| between(X1,X2,X3)
| ~ between(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_427_4,axiom,
( ~ between(X4,X1,X3)
| ~ between(X4,X1,X2)
| X4 = X1
| between(X1,X3,X2)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_428_0,axiom,
( between(X1,X2,X3)
| between(X1,X3,X2)
| X1 = X4
| ~ between(X1,X4,X2)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_428_1,axiom,
( between(X1,X3,X2)
| between(X1,X2,X3)
| X1 = X4
| ~ between(X1,X4,X2)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_428_2,axiom,
( X1 = X4
| between(X1,X3,X2)
| between(X1,X2,X3)
| ~ between(X1,X4,X2)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_428_3,axiom,
( ~ between(X1,X4,X2)
| X1 = X4
| between(X1,X3,X2)
| between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_428_4,axiom,
( ~ between(X1,X4,X3)
| ~ between(X1,X4,X2)
| X1 = X4
| between(X1,X3,X2)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_429_0,axiom,
( between(X1,X2,X3)
| between(X2,X1,X3)
| ~ between(X4,X1,X3)
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_429]) ).
cnf(c_0_429_1,axiom,
( between(X2,X1,X3)
| between(X1,X2,X3)
| ~ between(X4,X1,X3)
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_429]) ).
cnf(c_0_429_2,axiom,
( ~ between(X4,X1,X3)
| between(X2,X1,X3)
| between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_429]) ).
cnf(c_0_429_3,axiom,
( ~ between(X4,X2,X3)
| ~ between(X4,X1,X3)
| between(X2,X1,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_429]) ).
cnf(c_0_430_0,axiom,
( between(X1,X2,X3)
| between(X1,X3,X2)
| ~ between(X1,X2,X4)
| ~ between(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_430]) ).
cnf(c_0_430_1,axiom,
( between(X1,X3,X2)
| between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ between(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_430]) ).
cnf(c_0_430_2,axiom,
( ~ between(X1,X2,X4)
| between(X1,X3,X2)
| between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_430]) ).
cnf(c_0_430_3,axiom,
( ~ between(X1,X3,X4)
| ~ between(X1,X2,X4)
| between(X1,X3,X2)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_430]) ).
cnf(c_0_433_0,axiom,
( between(X1,X2,X3)
| between(X3,X1,X2)
| between(X2,X3,X1)
| ~ colinear(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_433]) ).
cnf(c_0_433_1,axiom,
( between(X3,X1,X2)
| between(X1,X2,X3)
| between(X2,X3,X1)
| ~ colinear(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_433]) ).
cnf(c_0_433_2,axiom,
( between(X2,X3,X1)
| between(X3,X1,X2)
| between(X1,X2,X3)
| ~ colinear(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_433]) ).
cnf(c_0_433_3,axiom,
( ~ colinear(X2,X3,X1)
| between(X2,X3,X1)
| between(X3,X1,X2)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_433]) ).
cnf(c_0_438_0,axiom,
( X1 = X2
| between(X3,X1,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_438]) ).
cnf(c_0_438_1,axiom,
( between(X3,X1,X4)
| X1 = X2
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_438]) ).
cnf(c_0_438_2,axiom,
( ~ between(X1,X2,X4)
| between(X3,X1,X4)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_438]) ).
cnf(c_0_438_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X1,X2,X4)
| between(X3,X1,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_438]) ).
cnf(c_0_439_0,axiom,
( X1 = X2
| between(X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_439]) ).
cnf(c_0_439_1,axiom,
( between(X3,X2,X4)
| X1 = X2
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_439]) ).
cnf(c_0_439_2,axiom,
( ~ between(X1,X2,X4)
| between(X3,X2,X4)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_439]) ).
cnf(c_0_439_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X1,X2,X4)
| between(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_439]) ).
cnf(c_0_440_0,axiom,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_440]) ).
cnf(c_0_440_1,axiom,
( ~ between(X1,X4,X3)
| between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_440]) ).
cnf(c_0_440_2,axiom,
( ~ between(X1,X2,X4)
| ~ between(X1,X4,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_440]) ).
cnf(c_0_441_0,axiom,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_441]) ).
cnf(c_0_441_1,axiom,
( ~ between(X4,X2,X3)
| between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_441]) ).
cnf(c_0_441_2,axiom,
( ~ between(X1,X4,X3)
| ~ between(X4,X2,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_441]) ).
cnf(c_0_442_0,axiom,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_442]) ).
cnf(c_0_442_1,axiom,
( ~ between(X4,X2,X3)
| between(X1,X2,X3)
| ~ between(X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_442]) ).
cnf(c_0_442_2,axiom,
( ~ between(X4,X1,X2)
| ~ between(X4,X2,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_442]) ).
cnf(c_0_443_0,axiom,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_443]) ).
cnf(c_0_443_1,axiom,
( ~ between(X2,X3,X4)
| between(X1,X2,X3)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_443]) ).
cnf(c_0_443_2,axiom,
( ~ between(X1,X2,X3)
| ~ between(X2,X3,X4)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_443]) ).
cnf(c_0_444_0,axiom,
( X1 = X2
| X3 = X1
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_444]) ).
cnf(c_0_444_1,axiom,
( X3 = X1
| X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_444]) ).
cnf(c_0_444_2,axiom,
( ~ between(X3,X2,X1)
| X3 = X1
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_444]) ).
cnf(c_0_444_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X3,X2,X1)
| X3 = X1
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_444]) ).
cnf(c_0_445_0,axiom,
( X1 = X2
| X3 = X1
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_445]) ).
cnf(c_0_445_1,axiom,
( X3 = X1
| X1 = X2
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_445]) ).
cnf(c_0_445_2,axiom,
( ~ between(X1,X3,X2)
| X3 = X1
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_445]) ).
cnf(c_0_445_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X1,X3,X2)
| X3 = X1
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_445]) ).
cnf(c_0_446_0,axiom,
( X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_446]) ).
cnf(c_0_446_1,axiom,
( ~ between(X3,X2,X1)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_446]) ).
cnf(c_0_446_2,axiom,
( ~ between(X3,X1,X2)
| ~ between(X3,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_446]) ).
cnf(c_0_447_0,axiom,
( X1 = X2
| ~ between(X2,X1,X3)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_447]) ).
cnf(c_0_447_1,axiom,
( ~ between(X2,X1,X3)
| X1 = X2
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_447]) ).
cnf(c_0_447_2,axiom,
( ~ between(X1,X2,X3)
| ~ between(X2,X1,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_447]) ).
cnf(c_0_448_0,axiom,
( between(X1,X2,X3)
| X4 != X3
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_448]) ).
cnf(c_0_448_1,axiom,
( X4 != X3
| between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_448]) ).
cnf(c_0_448_2,axiom,
( ~ between(X4,X2,X3)
| X4 != X3
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_448]) ).
cnf(c_0_449_0,axiom,
( colinear(X1,X2,X3)
| ~ colinear(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_449]) ).
cnf(c_0_449_1,axiom,
( ~ colinear(X2,X1,X3)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_449]) ).
cnf(c_0_450_0,axiom,
( colinear(X1,X2,X3)
| ~ colinear(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_450]) ).
cnf(c_0_450_1,axiom,
( ~ colinear(X2,X3,X1)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_450]) ).
cnf(c_0_451_0,axiom,
( colinear(X1,X2,X3)
| ~ colinear(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_451]) ).
cnf(c_0_451_1,axiom,
( ~ colinear(X1,X3,X2)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_451]) ).
cnf(c_0_452_0,axiom,
( colinear(X1,X2,X3)
| ~ colinear(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_452]) ).
cnf(c_0_452_1,axiom,
( ~ colinear(X3,X1,X2)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_452]) ).
cnf(c_0_453_0,axiom,
( colinear(X1,X2,X3)
| ~ colinear(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_453]) ).
cnf(c_0_453_1,axiom,
( ~ colinear(X3,X2,X1)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_453]) ).
cnf(c_0_454_0,axiom,
( colinear(X1,X2,X3)
| ~ between(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_454]) ).
cnf(c_0_454_1,axiom,
( ~ between(X2,X1,X3)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_454]) ).
cnf(c_0_455_0,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_455]) ).
cnf(c_0_455_1,axiom,
( ~ between(X1,X3,X2)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_455]) ).
cnf(c_0_456_0,axiom,
( colinear(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_456]) ).
cnf(c_0_456_1,axiom,
( ~ between(X3,X2,X1)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_456]) ).
cnf(c_0_457_0,axiom,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_457]) ).
cnf(c_0_457_1,axiom,
( ~ between(X3,X2,X1)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_457]) ).
cnf(c_0_458_0,axiom,
( colinear(X1,X2,X3)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_458]) ).
cnf(c_0_458_1,axiom,
( ~ between(X3,X1,X2)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_458]) ).
cnf(c_0_459_0,axiom,
( colinear(X1,X2,X3)
| ~ between(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_459]) ).
cnf(c_0_459_1,axiom,
( ~ between(X2,X3,X1)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_459]) ).
cnf(c_0_460_0,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_460]) ).
cnf(c_0_460_1,axiom,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_460]) ).
cnf(c_0_461_0,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_461]) ).
cnf(c_0_461_1,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_461]) ).
cnf(c_0_469_0,axiom,
( X1 = X2
| reflection(X1,X2) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_469]) ).
cnf(c_0_469_1,axiom,
( reflection(X1,X2) != X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_469]) ).
cnf(c_0_470_0,axiom,
( reflection(X2,X1) = X1
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_470]) ).
cnf(c_0_470_1,axiom,
( X2 != X1
| reflection(X2,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_470]) ).
cnf(c_0_421_0,axiom,
extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
inference(literals_permutation,[status(thm)],[c_0_421]) ).
cnf(c_0_463_0,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(literals_permutation,[status(thm)],[c_0_463]) ).
cnf(c_0_464_0,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(literals_permutation,[status(thm)],[c_0_464]) ).
cnf(c_0_465_0,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(literals_permutation,[status(thm)],[c_0_465]) ).
cnf(c_0_472_0,axiom,
lower_dimension_point_3 != lower_dimension_point_1,
inference(literals_permutation,[status(thm)],[c_0_472]) ).
cnf(c_0_473_0,axiom,
lower_dimension_point_3 != lower_dimension_point_2,
inference(literals_permutation,[status(thm)],[c_0_473]) ).
cnf(c_0_474_0,axiom,
lower_dimension_point_2 != lower_dimension_point_1,
inference(literals_permutation,[status(thm)],[c_0_474]) ).
cnf(c_0_393_0,axiom,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_400_0,axiom,
extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4) = insertion(X1,X2,X3,X4),
inference(literals_permutation,[status(thm)],[c_0_400]) ).
cnf(c_0_405_0,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_405]) ).
cnf(c_0_406_0,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_406]) ).
cnf(c_0_415_0,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(literals_permutation,[status(thm)],[c_0_415]) ).
cnf(c_0_416_0,axiom,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
inference(literals_permutation,[status(thm)],[c_0_416]) ).
cnf(c_0_424_0,axiom,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_424]) ).
cnf(c_0_431_0,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
inference(literals_permutation,[status(thm)],[c_0_431]) ).
cnf(c_0_432_0,axiom,
extension(X1,X2,X1,X2) = reflection(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_432]) ).
cnf(c_0_434_0,axiom,
extension(X2,X1,X3,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_434]) ).
cnf(c_0_435_0,axiom,
equidistant(X1,X1,X2,X2),
inference(literals_permutation,[status(thm)],[c_0_435]) ).
cnf(c_0_436_0,axiom,
equidistant(X1,X2,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_436]) ).
cnf(c_0_437_0,axiom,
equidistant(X1,X2,X2,X1),
inference(literals_permutation,[status(thm)],[c_0_437]) ).
cnf(c_0_462_0,axiom,
between(X1,X2,reflection(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_462]) ).
cnf(c_0_466_0,axiom,
between(X1,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_466]) ).
cnf(c_0_467_0,axiom,
between(X1,X2,X2),
inference(literals_permutation,[status(thm)],[c_0_467]) ).
cnf(c_0_468_0,axiom,
reflection(reflection(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_468]) ).
cnf(c_0_471_0,axiom,
reflection(X1,X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_471]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('<stdin>',prove_lower_dimension_points_not_colinear) ).
fof(c_0_1_002,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_0 ).
fof(c_0_2_003,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_1 ).
cnf(c_0_3_004,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_259,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p',c_0_4) ).
cnf(c_299,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(copy,[status(esa)],[c_259]) ).
cnf(c_303,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(copy,[status(esa)],[c_299]) ).
cnf(c_304,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(copy,[status(esa)],[c_303]) ).
cnf(c_305,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(copy,[status(esa)],[c_304]) ).
cnf(c_1079,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(copy,[status(esa)],[c_305]) ).
cnf(c_92,plain,
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| ~ colinear(X1,X2,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p',c_0_433_3) ).
cnf(c_745,plain,
( between(X0,X1,X2)
| between(X2,X0,X1)
| between(X1,X2,X0)
| ~ colinear(X1,X2,X0) ),
inference(copy,[status(esa)],[c_92]) ).
cnf(c_1089,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(resolution,[status(thm)],[c_1079,c_745]) ).
cnf(c_1092,plain,
( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(rewriting,[status(thm)],[c_1089]) ).
cnf(c_23,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p',c_0_463_0) ).
cnf(c_607,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_22,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p',c_0_464_0) ).
cnf(c_605,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(copy,[status(esa)],[c_22]) ).
cnf(c_21,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p',c_0_465_0) ).
cnf(c_603,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_1168,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1092,c_607,c_605,c_603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 11:12:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.43 % Orientation found
% 0.21/0.43 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_df2f7f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_62750e | grep -v "SZS"
% 0.21/0.45
% 0.21/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ iProver source info
% 0.21/0.45
% 0.21/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.45 % git: non_committed_changes: true
% 0.21/0.45 % git: last_make_outside_of_git: true
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 150.25/150.47 % --bmc1_dump_unsat_core_tptp false
% 150.25/150.47 % --bmc1_dump_file -
% 150.25/150.47 % --bmc1_ucm_expand_uc_limit 128
% 150.25/150.47 % --bmc1_ucm_n_expand_iterations 6
% 150.25/150.47 % --bmc1_ucm_extend_mode 1
% 150.25/150.47 % --bmc1_ucm_init_mode 2
% 150.25/150.47 % --bmc1_ucm_cone_mode none
% 150.25/150.47 % --bmc1_ucm_reduced_relation_type 0
% 150.25/150.47 % --bmc1_ucm_relax_model 4
% 150.25/150.47 % --bmc1_ucm_full_tr_after_sat true
% 150.25/150.47 % --bmc1_ucm_expand_neg_assumptions false
% 150.25/150.47 % --bmc1_ucm_layered_model none
% 150.25/150.47 % --bmc1_ucm_max_lemma_size 10
% 150.25/150.47
% 150.25/150.47 % ------ AIG Options
% 150.25/150.47
% 150.25/150.47 % --aig_mode false
% 150.25/150.47
% 150.25/150.47 % ------ Instantiation Options
% 150.25/150.47
% 150.25/150.47 % --instantiation_flag true
% 150.25/150.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.25/150.47 % --inst_solver_per_active 750
% 150.25/150.47 % --inst_solver_calls_frac 0.5
% 150.25/150.47 % --inst_passive_queue_type priority_queues
% 150.25/150.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.25/150.47 % --inst_passive_queues_freq [25;2]
% 150.25/150.47 % --inst_dismatching true
% 150.25/150.47 % --inst_eager_unprocessed_to_passive true
% 150.25/150.47 % --inst_prop_sim_given true
% 150.25/150.47 % --inst_prop_sim_new false
% 150.25/150.47 % --inst_orphan_elimination true
% 150.25/150.47 % --inst_learning_loop_flag true
% 150.25/150.47 % --inst_learning_start 3000
% 150.25/150.47 % --inst_learning_factor 2
% 150.25/150.47 % --inst_start_prop_sim_after_learn 3
% 150.25/150.47 % --inst_sel_renew solver
% 150.25/150.47 % --inst_lit_activity_flag true
% 150.25/150.47 % --inst_out_proof true
% 150.25/150.47
% 150.25/150.47 % ------ Resolution Options
% 150.25/150.47
% 150.25/150.47 % --resolution_flag true
% 150.25/150.47 % --res_lit_sel kbo_max
% 150.25/150.47 % --res_to_prop_solver none
% 150.25/150.47 % --res_prop_simpl_new false
% 150.25/150.47 % --res_prop_simpl_given false
% 150.25/150.47 % --res_passive_queue_type priority_queues
% 150.25/150.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.25/150.47 % --res_passive_queues_freq [15;5]
% 150.25/150.47 % --res_forward_subs full
% 150.25/150.47 % --res_backward_subs full
% 150.25/150.47 % --res_forward_subs_resolution true
% 150.25/150.47 % --res_backward_subs_resolution true
% 150.25/150.47 % --res_orphan_elimination false
% 150.25/150.47 % --res_time_limit 1000.
% 150.25/150.47 % --res_out_proof true
% 150.25/150.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_df2f7f.s
% 150.25/150.47 % --modulo true
% 150.25/150.47
% 150.25/150.47 % ------ Combination Options
% 150.25/150.47
% 150.25/150.47 % --comb_res_mult 1000
% 150.25/150.47 % --comb_inst_mult 300
% 150.25/150.47 % ------
% 150.25/150.47
% 150.25/150.47 % ------ Parsing...% successful
% 150.25/150.47
% 150.25/150.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.25/150.47
% 150.25/150.47 % ------ Proving...
% 150.25/150.47 % ------ Problem Properties
% 150.25/150.47
% 150.25/150.47 %
% 150.25/150.47 % EPR false
% 150.25/150.47 % Horn false
% 150.25/150.47 % Has equality true
% 150.25/150.47
% 150.25/150.47 % % ------ Input Options Time Limit: Unbounded
% 150.25/150.47
% 150.25/150.47
% 150.25/150.47 Compiling...
% 150.25/150.47 Loading plugin: done.
% 150.25/150.47 %
% 150.25/150.47
% 150.25/150.47
% 150.25/150.47 % Time Out Real
% 150.25/150.47
% 150.25/150.47 % ------ Statistics
% 150.25/150.47
% 150.25/150.47 % ------ General
% 150.25/150.47
% 150.25/150.47 % num_of_input_clauses: 260
% 150.25/150.47 % num_of_input_neg_conjectures: 1
% 150.25/150.47 % num_of_splits: 0
% 150.25/150.47 % num_of_split_atoms: 0
% 150.25/150.47 % num_of_sem_filtered_clauses: 0
% 150.25/150.47 % num_of_subtypes: 0
% 150.25/150.47 % monotx_restored_types: 0
% 150.25/150.47 % sat_num_of_epr_types: 0
% 150.25/150.47 % sat_num_of_non_cyclic_types: 0
% 150.25/150.47 % sat_guarded_non_collapsed_types: 0
% 150.25/150.47 % is_epr: 0
% 150.25/150.47 % is_horn: 0
% 150.25/150.47 % has_eq: 1
% 150.25/150.47 % num_pure_diseq_elim: 0
% 150.25/150.47 % simp_replaced_by: 0
% 150.25/150.47 % res_preprocessed: 2
% 150.25/150.47 % prep_upred: 0
% 150.25/150.47 % prep_unflattend: 0
% 150.25/150.47 % pred_elim_cands: 0
% 150.25/150.47 % pred_elim: 0
% 150.25/150.47 % pred_elim_cl: 0
% 150.25/150.47 % pred_elim_cycles: 0
% 150.25/150.47 % forced_gc_time: 0
% 150.25/150.47 % gc_basic_clause_elim: 0
% 150.25/150.47 % parsing_time: 0.014
% 150.25/150.47 % sem_filter_time: 0.
% 150.25/150.47 % pred_elim_time: 0.
% 150.25/150.47 % out_proof_time: 0.
% 150.25/150.47 % monotx_time: 0.
% 150.25/150.47 % subtype_inf_time: 0.
% 150.25/150.47 % unif_index_cands_time: 0.
% 150.25/150.47 % unif_index_add_time: 0.
% 150.25/150.47 % total_time: 150.036
% 150.25/150.47 % num_of_symbols: 38
% 150.25/150.47 % num_of_terms: 511
% 150.25/150.47
% 150.25/150.47 % ------ Propositional Solver
% 150.25/150.47
% 150.25/150.47 % prop_solver_calls: 1
% 150.25/150.47 % prop_fast_solver_calls: 3
% 150.25/150.47 % prop_num_of_clauses: 197
% 150.25/150.47 % prop_preprocess_simplified: 837
% 150.25/150.47 % prop_fo_subsumed: 0
% 150.25/150.47 % prop_solver_time: 0.
% 150.25/150.47 % prop_fast_solver_time: 0.
% 150.25/150.47 % prop_unsat_core_time: 0.
% 150.25/150.47
% 150.25/150.47 % ------ QBF
% 150.25/150.47
% 150.25/150.47 % qbf_q_res: 0
% 150.25/150.48 % qbf_num_tautologies: 0
% 150.25/150.48 % qbf_prep_cycles: 0
% 150.25/150.48
% 150.25/150.48 % ------ BMC1
% 150.25/150.48
% 150.25/150.48 % bmc1_current_bound: -1
% 150.25/150.48 % bmc1_last_solved_bound: -1
% 150.25/150.48 % bmc1_unsat_core_size: -1
% 150.25/150.48 % bmc1_unsat_core_parents_size: -1
% 150.25/150.48 % bmc1_merge_next_fun: 0
% 150.25/150.48 % bmc1_unsat_core_clauses_time: 0.
% 150.25/150.48
% 150.25/150.48 % ------ Instantiation
% 150.25/150.48
% 150.25/150.48 % inst_num_of_clauses: 260
% 150.25/150.48 % inst_num_in_passive: 0
% 150.25/150.48 % inst_num_in_active: 0
% 150.25/150.48 % inst_num_in_unprocessed: 260
% 150.25/150.48 % inst_num_of_loops: 0
% 150.25/150.48 % inst_num_of_learning_restarts: 0
% 150.25/150.48 % inst_num_moves_active_passive: 0
% 150.25/150.48 % inst_lit_activity: 0
% 150.25/150.48 % inst_lit_activity_moves: 0
% 150.25/150.48 % inst_num_tautologies: 0
% 150.25/150.48 % inst_num_prop_implied: 0
% 150.25/150.48 % inst_num_existing_simplified: 0
% 150.25/150.48 % inst_num_eq_res_simplified: 0
% 150.25/150.48 % inst_num_child_elim: 0
% 150.25/150.48 % inst_num_of_dismatching_blockings: 0
% 150.25/150.48 % inst_num_of_non_proper_insts: 0
% 150.25/150.48 % inst_num_of_duplicates: 0
% 150.25/150.48 % inst_inst_num_from_inst_to_res: 0
% 150.25/150.48 % inst_dismatching_checking_time: 0.
% 150.25/150.48
% 150.25/150.48 % ------ Resolution
% 150.25/150.48
% 150.25/150.48 % res_num_of_clauses: 310
% 150.25/150.48 % res_num_in_passive: 0
% 150.25/150.48 % res_num_in_active: 171
% 150.25/150.48 % res_num_of_loops: 0
% 150.25/150.48 % res_forward_subset_subsumed: 63
% 150.25/150.48 % res_backward_subset_subsumed: 3
% 150.25/150.48 % res_forward_subsumed: 0
% 150.25/150.48 % res_backward_subsumed: 0
% 150.25/150.48 % res_forward_subsumption_resolution: 0
% 150.25/150.48 % res_backward_subsumption_resolution: 0
% 150.25/150.48 % res_clause_to_clause_subsumption: 0
% 150.25/150.48 % res_orphan_elimination: 0
% 150.25/150.48 % res_tautology_del: 3
% 150.25/150.48 % res_num_eq_res_simplified: 0
% 150.25/150.48 % res_num_sel_changes: 0
% 150.25/150.48 % res_moves_from_active_to_pass: 0
% 150.25/150.48
% 150.25/150.48 % Status Unknown
% 150.32/150.51 % Orienting using strategy ClausalAll
% 150.32/150.51 % Orientation found
% 150.32/150.51 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_df2f7f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_aa6e8d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_10c2a9 | grep -v "SZS"
% 150.32/150.54
% 150.32/150.54 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.32/150.54
% 150.32/150.54 %
% 150.32/150.54 % ------ iProver source info
% 150.32/150.54
% 150.32/150.54 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.32/150.54 % git: non_committed_changes: true
% 150.32/150.54 % git: last_make_outside_of_git: true
% 150.32/150.54
% 150.32/150.54 %
% 150.32/150.54 % ------ Input Options
% 150.32/150.54
% 150.32/150.54 % --out_options all
% 150.32/150.54 % --tptp_safe_out true
% 150.32/150.54 % --problem_path ""
% 150.32/150.54 % --include_path ""
% 150.32/150.54 % --clausifier .//eprover
% 150.32/150.54 % --clausifier_options --tstp-format
% 150.32/150.54 % --stdin false
% 150.32/150.54 % --dbg_backtrace false
% 150.32/150.54 % --dbg_dump_prop_clauses false
% 150.32/150.54 % --dbg_dump_prop_clauses_file -
% 150.32/150.54 % --dbg_out_stat false
% 150.32/150.54
% 150.32/150.54 % ------ General Options
% 150.32/150.54
% 150.32/150.54 % --fof false
% 150.32/150.54 % --time_out_real 150.
% 150.32/150.54 % --time_out_prep_mult 0.2
% 150.32/150.54 % --time_out_virtual -1.
% 150.32/150.54 % --schedule none
% 150.32/150.54 % --ground_splitting input
% 150.32/150.54 % --splitting_nvd 16
% 150.32/150.54 % --non_eq_to_eq false
% 150.32/150.54 % --prep_gs_sim true
% 150.32/150.54 % --prep_unflatten false
% 150.32/150.54 % --prep_res_sim true
% 150.32/150.54 % --prep_upred true
% 150.32/150.54 % --res_sim_input true
% 150.32/150.54 % --clause_weak_htbl true
% 150.32/150.54 % --gc_record_bc_elim false
% 150.32/150.54 % --symbol_type_check false
% 150.32/150.54 % --clausify_out false
% 150.32/150.54 % --large_theory_mode false
% 150.32/150.54 % --prep_sem_filter none
% 150.32/150.54 % --prep_sem_filter_out false
% 150.32/150.54 % --preprocessed_out false
% 150.32/150.54 % --sub_typing false
% 150.32/150.54 % --brand_transform false
% 150.32/150.54 % --pure_diseq_elim true
% 150.32/150.54 % --min_unsat_core false
% 150.32/150.54 % --pred_elim true
% 150.32/150.54 % --add_important_lit false
% 150.32/150.54 % --soft_assumptions false
% 150.32/150.54 % --reset_solvers false
% 150.32/150.54 % --bc_imp_inh []
% 150.32/150.54 % --conj_cone_tolerance 1.5
% 150.32/150.54 % --prolific_symb_bound 500
% 150.32/150.54 % --lt_threshold 2000
% 150.32/150.54
% 150.32/150.54 % ------ SAT Options
% 150.32/150.54
% 150.32/150.54 % --sat_mode false
% 150.32/150.54 % --sat_fm_restart_options ""
% 150.32/150.54 % --sat_gr_def false
% 150.32/150.54 % --sat_epr_types true
% 150.32/150.54 % --sat_non_cyclic_types false
% 150.32/150.54 % --sat_finite_models false
% 150.32/150.54 % --sat_fm_lemmas false
% 150.32/150.54 % --sat_fm_prep false
% 150.32/150.54 % --sat_fm_uc_incr true
% 150.32/150.54 % --sat_out_model small
% 150.32/150.54 % --sat_out_clauses false
% 150.32/150.54
% 150.32/150.54 % ------ QBF Options
% 150.32/150.54
% 150.32/150.54 % --qbf_mode false
% 150.32/150.54 % --qbf_elim_univ true
% 150.32/150.54 % --qbf_sk_in true
% 150.32/150.54 % --qbf_pred_elim true
% 150.32/150.54 % --qbf_split 32
% 150.32/150.54
% 150.32/150.54 % ------ BMC1 Options
% 150.32/150.54
% 150.32/150.54 % --bmc1_incremental false
% 150.32/150.54 % --bmc1_axioms reachable_all
% 150.32/150.54 % --bmc1_min_bound 0
% 150.32/150.54 % --bmc1_max_bound -1
% 150.32/150.54 % --bmc1_max_bound_default -1
% 150.32/150.54 % --bmc1_symbol_reachability true
% 150.32/150.54 % --bmc1_property_lemmas false
% 150.32/150.54 % --bmc1_k_induction false
% 150.32/150.54 % --bmc1_non_equiv_states false
% 150.32/150.54 % --bmc1_deadlock false
% 150.32/150.54 % --bmc1_ucm false
% 150.32/150.54 % --bmc1_add_unsat_core none
% 150.32/150.54 % --bmc1_unsat_core_children false
% 150.32/150.54 % --bmc1_unsat_core_extrapolate_axioms false
% 150.32/150.54 % --bmc1_out_stat full
% 150.32/150.54 % --bmc1_ground_init false
% 150.32/150.54 % --bmc1_pre_inst_next_state false
% 150.32/150.54 % --bmc1_pre_inst_state false
% 150.32/150.54 % --bmc1_pre_inst_reach_state false
% 150.32/150.54 % --bmc1_out_unsat_core false
% 150.32/150.54 % --bmc1_aig_witness_out false
% 150.32/150.54 % --bmc1_verbose false
% 150.32/150.54 % --bmc1_dump_clauses_tptp false
% 150.37/150.88 % --bmc1_dump_unsat_core_tptp false
% 150.37/150.88 % --bmc1_dump_file -
% 150.37/150.88 % --bmc1_ucm_expand_uc_limit 128
% 150.37/150.88 % --bmc1_ucm_n_expand_iterations 6
% 150.37/150.88 % --bmc1_ucm_extend_mode 1
% 150.37/150.88 % --bmc1_ucm_init_mode 2
% 150.37/150.88 % --bmc1_ucm_cone_mode none
% 150.37/150.88 % --bmc1_ucm_reduced_relation_type 0
% 150.37/150.88 % --bmc1_ucm_relax_model 4
% 150.37/150.88 % --bmc1_ucm_full_tr_after_sat true
% 150.37/150.88 % --bmc1_ucm_expand_neg_assumptions false
% 150.37/150.88 % --bmc1_ucm_layered_model none
% 150.37/150.88 % --bmc1_ucm_max_lemma_size 10
% 150.37/150.88
% 150.37/150.88 % ------ AIG Options
% 150.37/150.88
% 150.37/150.88 % --aig_mode false
% 150.37/150.88
% 150.37/150.88 % ------ Instantiation Options
% 150.37/150.88
% 150.37/150.88 % --instantiation_flag true
% 150.37/150.88 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.37/150.88 % --inst_solver_per_active 750
% 150.37/150.88 % --inst_solver_calls_frac 0.5
% 150.37/150.88 % --inst_passive_queue_type priority_queues
% 150.37/150.88 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.37/150.88 % --inst_passive_queues_freq [25;2]
% 150.37/150.88 % --inst_dismatching true
% 150.37/150.88 % --inst_eager_unprocessed_to_passive true
% 150.37/150.88 % --inst_prop_sim_given true
% 150.37/150.88 % --inst_prop_sim_new false
% 150.37/150.88 % --inst_orphan_elimination true
% 150.37/150.88 % --inst_learning_loop_flag true
% 150.37/150.88 % --inst_learning_start 3000
% 150.37/150.88 % --inst_learning_factor 2
% 150.37/150.88 % --inst_start_prop_sim_after_learn 3
% 150.37/150.88 % --inst_sel_renew solver
% 150.37/150.88 % --inst_lit_activity_flag true
% 150.37/150.88 % --inst_out_proof true
% 150.37/150.88
% 150.37/150.88 % ------ Resolution Options
% 150.37/150.88
% 150.37/150.88 % --resolution_flag true
% 150.37/150.88 % --res_lit_sel kbo_max
% 150.37/150.88 % --res_to_prop_solver none
% 150.37/150.88 % --res_prop_simpl_new false
% 150.37/150.88 % --res_prop_simpl_given false
% 150.37/150.88 % --res_passive_queue_type priority_queues
% 150.37/150.88 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.37/150.88 % --res_passive_queues_freq [15;5]
% 150.37/150.88 % --res_forward_subs full
% 150.37/150.88 % --res_backward_subs full
% 150.37/150.88 % --res_forward_subs_resolution true
% 150.37/150.88 % --res_backward_subs_resolution true
% 150.37/150.88 % --res_orphan_elimination false
% 150.37/150.88 % --res_time_limit 1000.
% 150.37/150.88 % --res_out_proof true
% 150.37/150.88 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_df2f7f.s
% 150.37/150.88 % --modulo true
% 150.37/150.88
% 150.37/150.88 % ------ Combination Options
% 150.37/150.88
% 150.37/150.88 % --comb_res_mult 1000
% 150.37/150.88 % --comb_inst_mult 300
% 150.37/150.88 % ------
% 150.37/150.88
% 150.37/150.88 % ------ Parsing...% successful
% 150.37/150.88
% 150.37/150.88 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.37/150.88
% 150.37/150.88 % ------ Proving...
% 150.37/150.88 % ------ Problem Properties
% 150.37/150.88
% 150.37/150.88 %
% 150.37/150.88 % EPR false
% 150.37/150.88 % Horn false
% 150.37/150.88 % Has equality true
% 150.37/150.88
% 150.37/150.88 % % ------ Input Options Time Limit: Unbounded
% 150.37/150.88
% 150.37/150.88
% 150.37/150.88 Compiling...
% 150.37/150.88 Loading plugin: done.
% 150.37/150.88 Compiling...
% 150.37/150.88 Loading plugin: done.
% 150.37/150.88 Compiling...
% 150.37/150.88 Loading plugin: done.
% 150.37/150.88 % % ------ Current options:
% 150.37/150.88
% 150.37/150.88 % ------ Input Options
% 150.37/150.88
% 150.37/150.88 % --out_options all
% 150.37/150.88 % --tptp_safe_out true
% 150.37/150.88 % --problem_path ""
% 150.37/150.88 % --include_path ""
% 150.37/150.88 % --clausifier .//eprover
% 150.37/150.88 % --clausifier_options --tstp-format
% 150.37/150.88 % --stdin false
% 150.37/150.88 % --dbg_backtrace false
% 150.37/150.88 % --dbg_dump_prop_clauses false
% 150.37/150.88 % --dbg_dump_prop_clauses_file -
% 150.37/150.88 % --dbg_out_stat false
% 150.37/150.88
% 150.37/150.88 % ------ General Options
% 150.37/150.88
% 150.37/150.88 % --fof false
% 150.37/150.88 % --time_out_real 150.
% 150.37/150.88 % --time_out_prep_mult 0.2
% 150.37/150.88 % --time_out_virtual -1.
% 150.37/150.88 % --schedule none
% 150.37/150.88 % --ground_splitting input
% 150.37/150.88 % --splitting_nvd 16
% 150.37/150.88 % --non_eq_to_eq false
% 150.37/150.88 % --prep_gs_sim true
% 150.37/150.88 % --prep_unflatten false
% 150.37/150.88 % --prep_res_sim true
% 150.37/150.88 % --prep_upred true
% 150.37/150.88 % --res_sim_input true
% 150.37/150.88 % --clause_weak_htbl true
% 150.37/150.88 % --gc_record_bc_elim false
% 150.37/150.88 % --symbol_type_check false
% 150.37/150.88 % --clausify_out false
% 150.37/150.88 % --large_theory_mode false
% 150.37/150.88 % --prep_sem_filter none
% 150.37/150.88 % --prep_sem_filter_out false
% 150.37/150.88 % --preprocessed_out false
% 150.37/150.88 % --sub_typing false
% 150.37/150.88 % --brand_transform false
% 150.37/150.88 % --pure_diseq_elim true
% 150.37/150.88 % --min_unsat_core false
% 150.37/150.88 % --pred_elim true
% 150.37/150.88 % --add_important_lit false
% 150.37/150.88 % --soft_assumptions false
% 150.37/150.88 % --reset_solvers false
% 150.37/150.88 % --bc_imp_inh []
% 150.37/150.88 % --conj_cone_tolerance 1.5
% 150.37/150.88 % --prolific_symb_bound 500
% 150.37/150.88 % --lt_threshold 2000
% 150.37/150.88
% 150.37/150.88 % ------ SAT Options
% 150.37/150.88
% 150.37/150.88 % --sat_mode false
% 150.37/150.88 % --sat_fm_restart_options ""
% 150.37/150.88 % --sat_gr_def false
% 150.37/150.88 % --sat_epr_types true
% 150.37/150.88 % --sat_non_cyclic_types false
% 150.37/150.88 % --sat_finite_models false
% 150.37/150.88 % --sat_fm_lemmas false
% 150.37/150.88 % --sat_fm_prep false
% 150.37/150.88 % --sat_fm_uc_incr true
% 150.37/150.88 % --sat_out_model small
% 150.37/150.88 % --sat_out_clauses false
% 150.37/150.88
% 150.37/150.88 % ------ QBF Options
% 150.37/150.88
% 150.37/150.88 % --qbf_mode false
% 150.37/150.88 % --qbf_elim_univ true
% 150.37/150.88 % --qbf_sk_in true
% 150.37/150.88 % --qbf_pred_elim true
% 150.37/150.88 % --qbf_split 32
% 150.37/150.88
% 150.37/150.88 % ------ BMC1 Options
% 150.37/150.88
% 150.37/150.88 % --bmc1_incremental false
% 150.37/150.88 % --bmc1_axioms reachable_all
% 150.37/150.88 % --bmc1_min_bound 0
% 150.37/150.88 % --bmc1_max_bound -1
% 150.37/150.88 % --bmc1_max_bound_default -1
% 150.37/150.88 % --bmc1_symbol_reachability true
% 150.37/150.88 % --bmc1_property_lemmas false
% 150.37/150.88 % --bmc1_k_induction false
% 150.37/150.88 % --bmc1_non_equiv_states false
% 150.37/150.88 % --bmc1_deadlock false
% 150.37/150.88 % --bmc1_ucm false
% 150.37/150.88 % --bmc1_add_unsat_core none
% 150.37/150.88 % --bmc1_unsat_core_children false
% 150.37/150.88 % --bmc1_unsat_core_extrapolate_axioms false
% 150.37/150.88 % --bmc1_out_stat full
% 150.37/150.88 % --bmc1_ground_init false
% 150.37/150.88 % --bmc1_pre_inst_next_state false
% 150.37/150.88 % --bmc1_pre_inst_state false
% 150.37/150.88 % --bmc1_pre_inst_reach_state false
% 150.37/150.88 % --bmc1_out_unsat_core false
% 150.37/150.88 % --bmc1_aig_witness_out false
% 150.37/150.88 % --bmc1_verbose false
% 150.37/150.88 % --bmc1_dump_clauses_tptp false
% 150.37/150.88 % --bmc1_dump_unsat_core_tptp false
% 150.37/150.88 % --bmc1_dump_file -
% 150.37/150.88 % --bmc1_ucm_expand_uc_limit 128
% 150.37/150.88 % --bmc1_ucm_n_expand_iterations 6
% 150.37/150.88 % --bmc1_ucm_extend_mode 1
% 150.37/150.88 % --bmc1_ucm_init_mode 2
% 150.37/150.88 % --bmc1_ucm_cone_mode none
% 150.37/150.88 % --bmc1_ucm_reduced_relation_type 0
% 150.37/150.88 % --bmc1_ucm_relax_model 4
% 150.37/150.88 % --bmc1_ucm_full_tr_after_sat true
% 150.37/150.88 % --bmc1_ucm_expand_neg_assumptions false
% 150.37/150.88 % --bmc1_ucm_layered_model none
% 150.37/150.88 % --bmc1_ucm_max_lemma_size 10
% 150.37/150.88
% 150.37/150.88 % ------ AIG Options
% 150.37/150.88
% 150.37/150.88 % --aig_mode false
% 150.37/150.88
% 150.37/150.88 % ------ Instantiation Options
% 150.37/150.88
% 150.37/150.88 % --instantiation_flag true
% 150.37/150.88 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.37/150.88 % --inst_solver_per_active 750
% 150.37/150.88 % --inst_solver_calls_frac 0.5
% 150.37/150.88 % --inst_passive_queue_type priority_queues
% 150.37/150.88 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.37/150.88 % --inst_passive_queues_freq [25;2]
% 150.37/150.88 % --inst_dismatching true
% 150.37/150.88 % --inst_eager_unprocessed_to_passive true
% 150.37/150.88 % --inst_prop_sim_given true
% 150.37/150.88 % --inst_prop_sim_new false
% 150.37/150.88 % --inst_orphan_elimination true
% 150.37/150.88 % --inst_learning_loop_flag true
% 150.37/150.88 % --inst_learning_start 3000
% 150.37/150.88 % --inst_learning_factor 2
% 150.37/150.88 % --inst_start_prop_sim_after_learn 3
% 150.37/150.88 % --inst_sel_renew solver
% 150.37/150.88 % --inst_lit_activity_flag true
% 150.37/150.88 % --inst_out_proof true
% 150.37/150.88
% 150.37/150.88 % ------ Resolution Options
% 150.37/150.88
% 150.37/150.88 % --resolution_flag true
% 150.37/150.88 % --res_lit_sel kbo_max
% 150.37/150.88 % --res_to_prop_solver none
% 150.37/150.88 % --res_prop_simpl_new false
% 150.37/150.88 % --res_prop_simpl_given false
% 150.37/150.88 % --res_passive_queue_type priority_queues
% 150.37/150.88 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.37/150.88 % --res_passive_queues_freq [15;5]
% 150.37/150.88 % --res_forward_subs full
% 150.37/150.88 % --res_backward_subs full
% 150.37/150.88 % --res_forward_subs_resolution true
% 150.37/150.88 % --res_backward_subs_resolution true
% 150.37/150.88 % --res_orphan_elimination false
% 150.37/150.88 % --res_time_limit 1000.
% 150.37/150.88 % --res_out_proof true
% 150.37/150.88 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_df2f7f.s
% 150.37/150.88 % --modulo true
% 150.37/150.88
% 150.37/150.88 % ------ Combination Options
% 150.37/150.88
% 150.37/150.88 % --comb_res_mult 1000
% 150.37/150.88 % --comb_inst_mult 300
% 150.37/150.88 % ------
% 150.37/150.88
% 150.37/150.88
% 150.37/150.88
% 150.37/150.88 % ------ Proving...
% 150.37/150.88 %
% 150.37/150.88
% 150.37/150.88
% 150.37/150.88 % Resolution empty clause
% 150.37/150.88
% 150.37/150.88 % ------ Statistics
% 150.37/150.88
% 150.37/150.88 % ------ General
% 150.37/150.88
% 150.37/150.88 % num_of_input_clauses: 260
% 150.37/150.88 % num_of_input_neg_conjectures: 1
% 150.37/150.88 % num_of_splits: 0
% 150.37/150.88 % num_of_split_atoms: 0
% 150.37/150.88 % num_of_sem_filtered_clauses: 0
% 150.37/150.88 % num_of_subtypes: 0
% 150.37/150.88 % monotx_restored_types: 0
% 150.37/150.88 % sat_num_of_epr_types: 0
% 150.37/150.88 % sat_num_of_non_cyclic_types: 0
% 150.37/150.88 % sat_guarded_non_collapsed_types: 0
% 150.37/150.88 % is_epr: 0
% 150.37/150.88 % is_horn: 0
% 150.37/150.88 % has_eq: 1
% 150.37/150.88 % num_pure_diseq_elim: 0
% 150.37/150.88 % simp_replaced_by: 0
% 150.37/150.88 % res_preprocessed: 2
% 150.37/150.88 % prep_upred: 0
% 150.37/150.88 % prep_unflattend: 0
% 150.37/150.88 % pred_elim_cands: 0
% 150.37/150.88 % pred_elim: 0
% 150.37/150.88 % pred_elim_cl: 0
% 150.37/150.88 % pred_elim_cycles: 0
% 150.37/150.88 % forced_gc_time: 0
% 150.37/150.88 % gc_basic_clause_elim: 0
% 150.37/150.88 % parsing_time: 0.014
% 150.37/150.88 % sem_filter_time: 0.
% 150.37/150.88 % pred_elim_time: 0.
% 150.37/150.88 % out_proof_time: 0.
% 150.37/150.88 % monotx_time: 0.
% 150.37/150.88 % subtype_inf_time: 0.
% 150.37/150.88 % unif_index_cands_time: 0.
% 150.37/150.88 % unif_index_add_time: 0.
% 150.37/150.88 % total_time: 0.36
% 150.37/150.88 % num_of_symbols: 38
% 150.37/150.88 % num_of_terms: 522
% 150.37/150.88
% 150.37/150.88 % ------ Propositional Solver
% 150.37/150.88
% 150.37/150.88 % prop_solver_calls: 1
% 150.37/150.88 % prop_fast_solver_calls: 3
% 150.37/150.88 % prop_num_of_clauses: 207
% 150.37/150.88 % prop_preprocess_simplified: 827
% 150.37/150.88 % prop_fo_subsumed: 0
% 150.37/150.88 % prop_solver_time: 0.
% 150.37/150.88 % prop_fast_solver_time: 0.
% 150.37/150.88 % prop_unsat_core_time: 0.
% 150.37/150.88
% 150.37/150.88 % ------ QBF
% 150.37/150.88
% 150.37/150.88 % qbf_q_res: 0
% 150.37/150.88 % qbf_num_tautologies: 0
% 150.37/150.88 % qbf_prep_cycles: 0
% 150.37/150.88
% 150.37/150.88 % ------ BMC1
% 150.37/150.88
% 150.37/150.88 % bmc1_current_bound: -1
% 150.37/150.88 % bmc1_last_solved_bound: -1
% 150.37/150.88 % bmc1_unsat_core_size: -1
% 150.37/150.88 % bmc1_unsat_core_parents_size: -1
% 150.37/150.88 % bmc1_merge_next_fun: 0
% 150.37/150.88 % bmc1_unsat_core_clauses_time: 0.
% 150.37/150.88
% 150.37/150.88 % ------ Instantiation
% 150.37/150.88
% 150.37/150.88 % inst_num_of_clauses: 260
% 150.37/150.88 % inst_num_in_passive: 0
% 150.37/150.88 % inst_num_in_active: 0
% 150.37/150.88 % inst_num_in_unprocessed: 260
% 150.37/150.88 % inst_num_of_loops: 0
% 150.37/150.88 % inst_num_of_learning_restarts: 0
% 150.37/150.88 % inst_num_moves_active_passive: 0
% 150.37/150.88 % inst_lit_activity: 0
% 150.37/150.88 % inst_lit_activity_moves: 0
% 150.37/150.88 % inst_num_tautologies: 0
% 150.37/150.88 % inst_num_prop_implied: 0
% 150.37/150.88 % inst_num_existing_simplified: 0
% 150.37/150.88 % inst_num_eq_res_simplified: 0
% 150.37/150.88 % inst_num_child_elim: 0
% 150.37/150.88 % inst_num_of_dismatching_blockings: 0
% 150.37/150.88 % inst_num_of_non_proper_insts: 0
% 150.37/150.88 % inst_num_of_duplicates: 0
% 150.37/150.88 % inst_inst_num_from_inst_to_res: 0
% 150.37/150.88 % inst_dismatching_checking_time: 0.
% 150.37/150.88
% 150.37/150.88 % ------ Resolution
% 150.37/150.88
% 150.37/150.88 % res_num_of_clauses: 337
% 150.37/150.88 % res_num_in_passive: 1
% 150.37/150.88 % res_num_in_active: 190
% 150.37/150.88 % res_num_of_loops: 7
% 150.37/150.88 % res_forward_subset_subsumed: 96
% 150.37/150.88 % res_backward_subset_subsumed: 0
% 150.37/150.88 % res_forward_subsumed: 0
% 150.37/150.88 % res_backward_subsumed: 0
% 150.37/150.88 % res_forward_subsumption_resolution: 3
% 150.37/150.88 % res_backward_subsumption_resolution: 0
% 150.37/150.88 % res_clause_to_clause_subsumption: 46
% 150.37/150.88 % res_orphan_elimination: 0
% 150.37/150.88 % res_tautology_del: 3
% 150.37/150.88 % res_num_eq_res_simplified: 0
% 150.37/150.88 % res_num_sel_changes: 0
% 150.37/150.88 % res_moves_from_active_to_pass: 0
% 150.37/150.88
% 150.37/150.88 % Status Unsatisfiable
% 150.37/150.88 % SZS status Unsatisfiable
% 150.37/150.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------