TSTP Solution File: GEO045-3 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n003.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 04:40:05 EDT 2022

% Result   : Unsatisfiable 150.34s 150.78s
% Output   : CNFRefutation 150.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  469 ( 153 unt;   0 def)
%            Number of atoms       : 1247 ( 278 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 1459 ( 681   ~; 778   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-6 aty)
%            Number of variables   : 1548 (  36 sgn 564   !;   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,
    ! [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_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)
      | between(X10,continuous(X11,X6,X10,X4,X2,X9),X9) ),
    file('<stdin>',continuity1) ).

fof(c_0_2,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_3,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_4,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_5,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_6,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_7,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_8,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_9,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_10,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_11,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_12,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_13,axiom,
    ! [X1,X2,X4,X6] : equidistant(X1,extension(X2,X1,X4,X6),X4,X6),
    file('<stdin>',segment_construction2) ).

fof(c_0_14,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X2,X4,X6,X11) ),
    file('<stdin>',d4_5) ).

fof(c_0_15,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X2,X4,X11,X6) ),
    file('<stdin>',d4_4) ).

fof(c_0_16,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X4,X2,X6,X11) ),
    file('<stdin>',d4_3) ).

fof(c_0_17,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X6,X11,X2,X4) ),
    file('<stdin>',d4_2) ).

fof(c_0_18,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X11,X6,X2,X4) ),
    file('<stdin>',d4_1) ).

fof(c_0_19,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X6,X11,X4,X2) ),
    file('<stdin>',d3) ).

fof(c_0_20,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X4,X2,X11,X6) ),
    file('<stdin>',d2) ).

fof(c_0_21,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_22,axiom,
    ! [X1,X2,X4,X6] : between(X2,X1,extension(X2,X1,X4,X6)),
    file('<stdin>',segment_construction1) ).

fof(c_0_23,axiom,
    ! [X6,X11] :
      ( extension(X11,X6,X11,X6) = extension(X11,X6,X6,X11)
      | X11 = X6 ),
    file('<stdin>',d10_3) ).

fof(c_0_24,axiom,
    ! [X1,X2,X4,X6,X11] :
      ( X1 != extension(X11,X6,X4,X2)
      | between(X11,X6,X1) ),
    file('<stdin>',b0) ).

fof(c_0_25,axiom,
    ! [X3,X1,X2] :
      ( ~ equidistant(X2,X1,X3,X3)
      | X2 = X1 ),
    file('<stdin>',identity_for_equidistance) ).

fof(c_0_26,axiom,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | X11 = X6
      | X4 = extension(X11,X6,X6,X4) ),
    file('<stdin>',d10_1) ).

fof(c_0_27,axiom,
    ! [X6,X11] : equidistant(X6,X11,X6,reflection(reflection(X11,X6),X6)),
    file('<stdin>',r5) ).

fof(c_0_28,axiom,
    ! [X6,X11] : equidistant(X6,reflection(X11,X6),X11,X6),
    file('<stdin>',r2_2) ).

fof(c_0_29,axiom,
    ! [X6,X11] : reflection(X11,X6) = extension(X11,X6,X11,X6),
    file('<stdin>',reflection) ).

fof(c_0_30,axiom,
    ! [X4,X6,X11] : X6 = extension(X11,X6,X4,X4),
    file('<stdin>',e1) ).

fof(c_0_31,axiom,
    ! [X6,X11] : equidistant(X11,X11,X6,X6),
    file('<stdin>',d7) ).

fof(c_0_32,axiom,
    ! [X6,X11] : equidistant(X11,X6,X11,X6),
    file('<stdin>',d1) ).

fof(c_0_33,axiom,
    ! [X1,X2] : equidistant(X2,X1,X1,X2),
    file('<stdin>',reflexivity_for_equidistance) ).

fof(c_0_34,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_35,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X11,X4,X2)
      | between(X6,X4,X2) ),
    file('<stdin>',b5) ).

fof(c_0_36,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X6,X4,X2)
      | between(X11,X6,X4) ),
    file('<stdin>',b4) ).

fof(c_0_37,axiom,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X11,X4,X6)
      | X11 = X6
      | X6 = X4 ),
    file('<stdin>',t6_2) ).

fof(c_0_38,axiom,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X6,X11,X4)
      | X11 = X6
      | X6 = X4 ),
    file('<stdin>',t6_1) ).

fof(c_0_39,axiom,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X11,X4,X6)
      | X6 = X4 ),
    file('<stdin>',b3) ).

fof(c_0_40,axiom,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X6,X11,X4)
      | X11 = X6 ),
    file('<stdin>',b2) ).

fof(c_0_41,axiom,
    ! [X2,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | X11 != X2
      | between(X6,X4,X2) ),
    file('<stdin>',b1) ).

fof(c_0_42,axiom,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | between(X4,X6,X11) ),
    file('<stdin>',t1) ).

fof(c_0_43,axiom,
    ! [X1,X2] :
      ( ~ between(X2,X1,X2)
      | X2 = X1 ),
    file('<stdin>',identity_for_betweeness) ).

fof(c_0_44,axiom,
    ! [X6,X11] : between(X11,X6,reflection(X11,X6)),
    file('<stdin>',r2_1) ).

fof(c_0_45,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('<stdin>',lower_dimension3) ).

fof(c_0_46,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('<stdin>',lower_dimension2) ).

fof(c_0_47,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('<stdin>',lower_dimension1) ).

fof(c_0_48,axiom,
    ! [X6,X11] : between(X11,X11,X6),
    file('<stdin>',t2) ).

fof(c_0_49,axiom,
    ! [X6,X11] : between(X11,X6,X6),
    file('<stdin>',t3) ).

fof(c_0_50,axiom,
    ! [X6,X11] : X11 = reflection(reflection(X11,X6),X6),
    file('<stdin>',r6) ).

fof(c_0_51,axiom,
    ! [X6,X11] :
      ( X6 != reflection(X11,X6)
      | X11 = X6 ),
    file('<stdin>',r4) ).

fof(c_0_52,axiom,
    ! [X6,X11] :
      ( X11 != X6
      | X6 = reflection(X11,X6) ),
    file('<stdin>',r3_1) ).

fof(c_0_53,axiom,
    ! [X11] : X11 = reflection(X11,X11),
    file('<stdin>',r3_2) ).

fof(c_0_54,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_0]) ).

fof(c_0_55,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_1]) ).

fof(c_0_56,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_2]) ).

fof(c_0_57,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_3]) ).

fof(c_0_58,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_4]) ).

fof(c_0_59,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_5]) ).

fof(c_0_60,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_6]) ).

fof(c_0_61,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_7]) ).

fof(c_0_62,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_8]) ).

fof(c_0_63,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_9]) ).

fof(c_0_64,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_10]) ).

fof(c_0_65,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_11]) ).

fof(c_0_66,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_12]) ).

fof(c_0_67,axiom,
    ! [X1,X2,X4,X6] : equidistant(X1,extension(X2,X1,X4,X6),X4,X6),
    c_0_13 ).

fof(c_0_68,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X2,X4,X6,X11) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_69,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X2,X4,X11,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_70,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X4,X2,X6,X11) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_71,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X6,X11,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_72,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X11,X6,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_73,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X6,X11,X4,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_74,plain,
    ! [X2,X4,X6,X11] :
      ( ~ equidistant(X11,X6,X4,X2)
      | equidistant(X4,X2,X11,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_75,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_21]) ).

fof(c_0_76,axiom,
    ! [X1,X2,X4,X6] : between(X2,X1,extension(X2,X1,X4,X6)),
    c_0_22 ).

fof(c_0_77,axiom,
    ! [X6,X11] :
      ( extension(X11,X6,X11,X6) = extension(X11,X6,X6,X11)
      | X11 = X6 ),
    c_0_23 ).

fof(c_0_78,axiom,
    ! [X1,X2,X4,X6,X11] :
      ( X1 != extension(X11,X6,X4,X2)
      | between(X11,X6,X1) ),
    c_0_24 ).

fof(c_0_79,plain,
    ! [X3,X1,X2] :
      ( ~ equidistant(X2,X1,X3,X3)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_80,plain,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | X11 = X6
      | X4 = extension(X11,X6,X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_81,axiom,
    ! [X6,X11] : equidistant(X6,X11,X6,reflection(reflection(X11,X6),X6)),
    c_0_27 ).

fof(c_0_82,axiom,
    ! [X6,X11] : equidistant(X6,reflection(X11,X6),X11,X6),
    c_0_28 ).

fof(c_0_83,axiom,
    ! [X6,X11] : reflection(X11,X6) = extension(X11,X6,X11,X6),
    c_0_29 ).

fof(c_0_84,axiom,
    ! [X4,X6,X11] : X6 = extension(X11,X6,X4,X4),
    c_0_30 ).

fof(c_0_85,axiom,
    ! [X6,X11] : equidistant(X11,X11,X6,X6),
    c_0_31 ).

fof(c_0_86,axiom,
    ! [X6,X11] : equidistant(X11,X6,X11,X6),
    c_0_32 ).

fof(c_0_87,axiom,
    ! [X1,X2] : equidistant(X2,X1,X1,X2),
    c_0_33 ).

fof(c_0_88,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_34]) ).

fof(c_0_89,plain,
    ! [X2,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X11,X4,X2)
      | between(X6,X4,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_90,plain,
    ! [X2,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X6,X4,X2)
      | between(X11,X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_91,plain,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X11,X4,X6)
      | X11 = X6
      | X6 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_92,plain,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X6,X11,X4)
      | X11 = X6
      | X6 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_93,plain,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X11,X4,X6)
      | X6 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_94,plain,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X6,X11,X4)
      | X11 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_95,plain,
    ! [X2,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | X11 != X2
      | between(X6,X4,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_96,plain,
    ! [X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | between(X4,X6,X11) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_97,plain,
    ! [X1,X2] :
      ( ~ between(X2,X1,X2)
      | X2 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_98,axiom,
    ! [X6,X11] : between(X11,X6,reflection(X11,X6)),
    c_0_44 ).

fof(c_0_99,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_100,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_101,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_102,axiom,
    ! [X6,X11] : between(X11,X11,X6),
    c_0_48 ).

fof(c_0_103,axiom,
    ! [X6,X11] : between(X11,X6,X6),
    c_0_49 ).

fof(c_0_104,axiom,
    ! [X6,X11] : X11 = reflection(reflection(X11,X6),X6),
    c_0_50 ).

fof(c_0_105,axiom,
    ! [X6,X11] :
      ( X6 != reflection(X11,X6)
      | X11 = X6 ),
    c_0_51 ).

fof(c_0_106,axiom,
    ! [X6,X11] :
      ( X11 != X6
      | X6 = reflection(X11,X6) ),
    c_0_52 ).

fof(c_0_107,axiom,
    ! [X11] : X11 = reflection(X11,X11),
    c_0_53 ).

fof(c_0_108,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_54]) ).

fof(c_0_109,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_55]) ).

fof(c_0_110,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_56]) ).

fof(c_0_111,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_57]) ).

fof(c_0_112,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_58]) ).

fof(c_0_113,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_59]) ).

fof(c_0_114,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_60]) ).

fof(c_0_115,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_61])])]) ).

fof(c_0_116,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_62]) ).

fof(c_0_117,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_63]) ).

fof(c_0_118,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_64]) ).

fof(c_0_119,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_65]) ).

fof(c_0_120,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_66])])]) ).

fof(c_0_121,plain,
    ! [X7,X8,X9,X10] : equidistant(X7,extension(X8,X7,X9,X10),X9,X10),
    inference(variable_rename,[status(thm)],[c_0_67]) ).

fof(c_0_122,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X12,X13,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_68]) ).

fof(c_0_123,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X12,X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_69]) ).

fof(c_0_124,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X13,X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_70]) ).

fof(c_0_125,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X14,X15,X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_71]) ).

fof(c_0_126,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X15,X14,X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_72]) ).

fof(c_0_127,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X14,X15,X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_73]) ).

fof(c_0_128,plain,
    ! [X12,X13,X14,X15] :
      ( ~ equidistant(X15,X14,X13,X12)
      | equidistant(X13,X12,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_74]) ).

fof(c_0_129,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_75]) ).

fof(c_0_130,plain,
    ! [X7,X8,X9,X10] : between(X8,X7,extension(X8,X7,X9,X10)),
    inference(variable_rename,[status(thm)],[c_0_76]) ).

fof(c_0_131,plain,
    ! [X12,X13] :
      ( extension(X13,X12,X13,X12) = extension(X13,X12,X12,X13)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_77]) ).

fof(c_0_132,plain,
    ! [X12,X13,X14,X15,X16] :
      ( X12 != extension(X16,X15,X14,X13)
      | between(X16,X15,X12) ),
    inference(variable_rename,[status(thm)],[c_0_78]) ).

fof(c_0_133,plain,
    ! [X4,X5,X6] :
      ( ~ equidistant(X6,X5,X4,X4)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_79]) ).

fof(c_0_134,plain,
    ! [X12,X13,X14] :
      ( ~ between(X14,X13,X12)
      | X14 = X13
      | X12 = extension(X14,X13,X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_80]) ).

fof(c_0_135,plain,
    ! [X12,X13] : equidistant(X12,X13,X12,reflection(reflection(X13,X12),X12)),
    inference(variable_rename,[status(thm)],[c_0_81]) ).

fof(c_0_136,plain,
    ! [X12,X13] : equidistant(X12,reflection(X13,X12),X13,X12),
    inference(variable_rename,[status(thm)],[c_0_82]) ).

fof(c_0_137,plain,
    ! [X12,X13] : reflection(X13,X12) = extension(X13,X12,X13,X12),
    inference(variable_rename,[status(thm)],[c_0_83]) ).

fof(c_0_138,plain,
    ! [X12,X13,X14] : X13 = extension(X14,X13,X12,X12),
    inference(variable_rename,[status(thm)],[c_0_84]) ).

fof(c_0_139,plain,
    ! [X12,X13] : equidistant(X13,X13,X12,X12),
    inference(variable_rename,[status(thm)],[c_0_85]) ).

fof(c_0_140,plain,
    ! [X12,X13] : equidistant(X13,X12,X13,X12),
    inference(variable_rename,[status(thm)],[c_0_86]) ).

fof(c_0_141,plain,
    ! [X3,X4] : equidistant(X4,X3,X3,X4),
    inference(variable_rename,[status(thm)],[c_0_87]) ).

fof(c_0_142,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_88]) ).

fof(c_0_143,plain,
    ! [X12,X13,X14,X15] :
      ( ~ between(X15,X14,X13)
      | ~ between(X15,X13,X12)
      | between(X14,X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_89]) ).

fof(c_0_144,plain,
    ! [X12,X13,X14,X15] :
      ( ~ between(X15,X14,X13)
      | ~ between(X14,X13,X12)
      | between(X15,X14,X13) ),
    inference(variable_rename,[status(thm)],[c_0_90]) ).

fof(c_0_145,plain,
    ! [X12,X13,X14] :
      ( ~ between(X14,X13,X12)
      | ~ between(X14,X12,X13)
      | X14 = X13
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_91]) ).

fof(c_0_146,plain,
    ! [X12,X13,X14] :
      ( ~ between(X14,X13,X12)
      | ~ between(X13,X14,X12)
      | X14 = X13
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_92]) ).

fof(c_0_147,plain,
    ! [X12,X13,X14] :
      ( ~ between(X14,X13,X12)
      | ~ between(X14,X12,X13)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_93]) ).

fof(c_0_148,plain,
    ! [X12,X13,X14] :
      ( ~ between(X14,X13,X12)
      | ~ between(X13,X14,X12)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_94]) ).

fof(c_0_149,plain,
    ! [X12,X13,X14,X15] :
      ( ~ between(X15,X13,X12)
      | X15 != X12
      | between(X14,X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_95]) ).

fof(c_0_150,plain,
    ! [X12,X13,X14] :
      ( ~ between(X14,X13,X12)
      | between(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_96]) ).

fof(c_0_151,plain,
    ! [X3,X4] :
      ( ~ between(X4,X3,X4)
      | X4 = X3 ),
    inference(variable_rename,[status(thm)],[c_0_97]) ).

fof(c_0_152,plain,
    ! [X12,X13] : between(X13,X12,reflection(X13,X12)),
    inference(variable_rename,[status(thm)],[c_0_98]) ).

fof(c_0_153,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    c_0_99 ).

fof(c_0_154,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    c_0_100 ).

fof(c_0_155,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_101 ).

fof(c_0_156,plain,
    ! [X12,X13] : between(X13,X13,X12),
    inference(variable_rename,[status(thm)],[c_0_102]) ).

fof(c_0_157,plain,
    ! [X12,X13] : between(X13,X12,X12),
    inference(variable_rename,[status(thm)],[c_0_103]) ).

fof(c_0_158,plain,
    ! [X12,X13] : X13 = reflection(reflection(X13,X12),X12),
    inference(variable_rename,[status(thm)],[c_0_104]) ).

fof(c_0_159,plain,
    ! [X12,X13] :
      ( X12 != reflection(X13,X12)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_105]) ).

fof(c_0_160,plain,
    ! [X12,X13] :
      ( X13 != X12
      | X12 = reflection(X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_106]) ).

fof(c_0_161,plain,
    ! [X12] : X12 = reflection(X12,X12),
    inference(variable_rename,[status(thm)],[c_0_107]) ).

cnf(c_0_162,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_108]) ).

cnf(c_0_163,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_109]) ).

cnf(c_0_164,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_110]) ).

cnf(c_0_165,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_111]) ).

cnf(c_0_166,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_112]) ).

cnf(c_0_167,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_113]) ).

cnf(c_0_168,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_114]) ).

cnf(c_0_169,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_115]) ).

cnf(c_0_170,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_116]) ).

cnf(c_0_171,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_117]) ).

cnf(c_0_172,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_173,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_174,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_120]) ).

cnf(c_0_175,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_176,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_177,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_178,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_179,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_180,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_181,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_182,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_183,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_129]) ).

cnf(c_0_184,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_185,plain,
    ( X1 = X2
    | extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_186,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_187,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_188,plain,
    ( X1 = extension(X2,X3,X3,X1)
    | X2 = X3
    | ~ between(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_189,plain,
    equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_190,plain,
    equidistant(X1,reflection(X2,X1),X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_191,plain,
    reflection(X1,X2) = extension(X1,X2,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_192,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_193,plain,
    equidistant(X1,X1,X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_194,plain,
    equidistant(X1,X2,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_195,plain,
    equidistant(X1,X2,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_196,plain,
    ( X1 = X2
    | between(X3,X2,X4)
    | ~ between(X1,X2,X4)
    | ~ between(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_197,plain,
    ( between(X1,X2,X3)
    | ~ between(X4,X2,X3)
    | ~ between(X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_198,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X3,X4)
    | ~ between(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_199,plain,
    ( X1 = X2
    | X3 = X1
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_200,plain,
    ( X1 = X2
    | X3 = X1
    | ~ between(X1,X3,X2)
    | ~ between(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_201,plain,
    ( X1 = X2
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_202,plain,
    ( X1 = X2
    | ~ between(X2,X1,X3)
    | ~ between(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_203,plain,
    ( between(X1,X2,X3)
    | X4 != X3
    | ~ between(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_204,plain,
    ( between(X1,X2,X3)
    | ~ between(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_205,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_206,plain,
    between(X1,X2,reflection(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_207,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_208,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_209,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_210,plain,
    between(X1,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_211,plain,
    between(X1,X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_212,plain,
    X1 = reflection(reflection(X1,X2),X2),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_213,plain,
    ( X1 = X2
    | X2 != reflection(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_214,plain,
    ( X1 = reflection(X2,X1)
    | X2 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_215,plain,
    X1 = reflection(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_216,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_162,
    [final] ).

cnf(c_0_217,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_163,
    [final] ).

cnf(c_0_218,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_164,
    [final] ).

cnf(c_0_219,plain,
    ( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
    | X1 = X4
    | ~ between(X3,X4,X2)
    | ~ between(X1,X4,X5) ),
    c_0_165,
    [final] ).

cnf(c_0_220,plain,
    ( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
    | X1 = X3
    | ~ between(X2,X3,X4)
    | ~ between(X1,X3,X5) ),
    c_0_166,
    [final] ).

cnf(c_0_221,plain,
    ( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
    | ~ between(X5,X1,X4)
    | ~ between(X2,X3,X4) ),
    c_0_167,
    [final] ).

cnf(c_0_222,plain,
    ( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
    | ~ between(X5,X4,X3)
    | ~ between(X2,X1,X3) ),
    c_0_168,
    [final] ).

cnf(c_0_223,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_169,
    [final] ).

cnf(c_0_224,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_170,
    [final] ).

cnf(c_0_225,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_171,
    [final] ).

cnf(c_0_226,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    c_0_172,
    [final] ).

cnf(c_0_227,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    c_0_173,
    [final] ).

cnf(c_0_228,plain,
    ( X1 = X2
    | extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
    | ~ equidistant(X3,X4,X5,X6) ),
    c_0_174,
    [final] ).

cnf(c_0_229,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    c_0_175,
    [final] ).

cnf(c_0_230,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    c_0_176,
    [final] ).

cnf(c_0_231,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    c_0_177,
    [final] ).

cnf(c_0_232,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    c_0_178,
    [final] ).

cnf(c_0_233,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    c_0_179,
    [final] ).

cnf(c_0_234,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    c_0_180,
    [final] ).

cnf(c_0_235,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    c_0_181,
    [final] ).

cnf(c_0_236,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    c_0_182,
    [final] ).

cnf(c_0_237,plain,
    ( X1 = X2
    | X3 = X4
    | ~ equidistant(X4,X1,X4,X2)
    | ~ between(X3,X4,X2)
    | ~ between(X3,X4,X1) ),
    c_0_183,
    [final] ).

cnf(c_0_238,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    c_0_184,
    [final] ).

cnf(c_0_239,plain,
    ( X1 = X2
    | extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
    c_0_185,
    [final] ).

cnf(c_0_240,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    c_0_186,
    [final] ).

cnf(c_0_241,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    c_0_187,
    [final] ).

cnf(c_0_242,plain,
    ( extension(X2,X3,X3,X1) = X1
    | X2 = X3
    | ~ between(X2,X3,X1) ),
    c_0_188,
    [final] ).

cnf(c_0_243,plain,
    equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
    c_0_189,
    [final] ).

cnf(c_0_244,plain,
    equidistant(X1,reflection(X2,X1),X2,X1),
    c_0_190,
    [final] ).

cnf(c_0_245,plain,
    extension(X1,X2,X1,X2) = reflection(X1,X2),
    c_0_191,
    [final] ).

cnf(c_0_246,plain,
    extension(X2,X1,X3,X3) = X1,
    c_0_192,
    [final] ).

cnf(c_0_247,plain,
    equidistant(X1,X1,X2,X2),
    c_0_193,
    [final] ).

cnf(c_0_248,plain,
    equidistant(X1,X2,X1,X2),
    c_0_194,
    [final] ).

cnf(c_0_249,plain,
    equidistant(X1,X2,X2,X1),
    c_0_195,
    [final] ).

cnf(c_0_250,plain,
    ( X1 = X2
    | between(X3,X2,X4)
    | ~ between(X1,X2,X4)
    | ~ between(X3,X1,X2) ),
    c_0_196,
    [final] ).

cnf(c_0_251,plain,
    ( between(X1,X2,X3)
    | ~ between(X4,X2,X3)
    | ~ between(X4,X1,X2) ),
    c_0_197,
    [final] ).

cnf(c_0_252,plain,
    ( between(X1,X2,X3)
    | ~ between(X2,X3,X4)
    | ~ between(X1,X2,X3) ),
    c_0_198,
    [final] ).

cnf(c_0_253,plain,
    ( X1 = X2
    | X3 = X1
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    c_0_199,
    [final] ).

cnf(c_0_254,plain,
    ( X1 = X2
    | X3 = X1
    | ~ between(X1,X3,X2)
    | ~ between(X3,X1,X2) ),
    c_0_200,
    [final] ).

cnf(c_0_255,plain,
    ( X1 = X2
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    c_0_201,
    [final] ).

cnf(c_0_256,plain,
    ( X1 = X2
    | ~ between(X2,X1,X3)
    | ~ between(X1,X2,X3) ),
    c_0_202,
    [final] ).

cnf(c_0_257,plain,
    ( between(X1,X2,X3)
    | X4 != X3
    | ~ between(X4,X2,X3) ),
    c_0_203,
    [final] ).

cnf(c_0_258,plain,
    ( between(X1,X2,X3)
    | ~ between(X3,X2,X1) ),
    c_0_204,
    [final] ).

cnf(c_0_259,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    c_0_205,
    [final] ).

cnf(c_0_260,plain,
    between(X1,X2,reflection(X1,X2)),
    c_0_206,
    [final] ).

cnf(c_0_261,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    c_0_207,
    [final] ).

cnf(c_0_262,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    c_0_208,
    [final] ).

cnf(c_0_263,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_209,
    [final] ).

cnf(c_0_264,plain,
    between(X1,X1,X2),
    c_0_210,
    [final] ).

cnf(c_0_265,plain,
    between(X1,X2,X2),
    c_0_211,
    [final] ).

cnf(c_0_266,plain,
    reflection(reflection(X1,X2),X2) = X1,
    c_0_212,
    [final] ).

cnf(c_0_267,plain,
    ( X1 = X2
    | reflection(X1,X2) != X2 ),
    c_0_213,
    [final] ).

cnf(c_0_268,plain,
    ( reflection(X2,X1) = X1
    | X2 != X1 ),
    c_0_214,
    [final] ).

cnf(c_0_269,plain,
    reflection(X1,X1) = X1,
    c_0_215,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_216_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_216]) ).

cnf(c_0_216_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_216]) ).

cnf(c_0_216_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_216]) ).

cnf(c_0_216_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_216]) ).

cnf(c_0_216_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_216]) ).

cnf(c_0_217_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_217]) ).

cnf(c_0_217_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_217]) ).

cnf(c_0_217_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_217]) ).

cnf(c_0_217_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_217]) ).

cnf(c_0_217_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_217]) ).

cnf(c_0_218_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_218]) ).

cnf(c_0_218_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_218]) ).

cnf(c_0_218_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_218]) ).

cnf(c_0_218_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_218]) ).

cnf(c_0_219_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_219]) ).

cnf(c_0_219_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_219]) ).

cnf(c_0_219_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_219]) ).

cnf(c_0_219_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_219]) ).

cnf(c_0_220_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_220]) ).

cnf(c_0_220_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_220]) ).

cnf(c_0_220_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_220]) ).

cnf(c_0_220_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_220]) ).

cnf(c_0_221_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_221]) ).

cnf(c_0_221_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_221]) ).

cnf(c_0_221_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_221]) ).

cnf(c_0_222_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_222]) ).

cnf(c_0_222_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_222]) ).

cnf(c_0_222_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_222]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_223_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_223]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_224_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_224]) ).

cnf(c_0_225_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_225]) ).

cnf(c_0_225_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_225]) ).

cnf(c_0_225_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_225]) ).

cnf(c_0_225_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_225]) ).

cnf(c_0_225_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_225]) ).

cnf(c_0_226_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_1,axiom,
    ( ~ equidistant(X5,X6,X3,X4)
    | equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_2,axiom,
    ( ~ equidistant(X1,X2,X5,X6)
    | ~ equidistant(X5,X6,X3,X4)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_227_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_1,axiom,
    ( ~ equidistant(X5,X6,X3,X4)
    | equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_2,axiom,
    ( ~ equidistant(X5,X6,X1,X2)
    | ~ equidistant(X5,X6,X3,X4)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_228_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_228]) ).

cnf(c_0_228_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_228]) ).

cnf(c_0_228_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_228]) ).

cnf(c_0_230_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_230_1,axiom,
    ( ~ equidistant(X4,X3,X2,X1)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_231_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_231_1,axiom,
    ( ~ equidistant(X3,X4,X2,X1)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_232_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_232_1,axiom,
    ( ~ equidistant(X4,X3,X1,X2)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_233_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_233_1,axiom,
    ( ~ equidistant(X2,X1,X4,X3)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_234_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_234_1,axiom,
    ( ~ equidistant(X1,X2,X4,X3)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_235_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_235_1,axiom,
    ( ~ equidistant(X2,X1,X3,X4)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_236_0,axiom,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_236_1,axiom,
    ( ~ equidistant(X3,X4,X1,X2)
    | equidistant(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_237_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_237]) ).

cnf(c_0_237_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_237]) ).

cnf(c_0_237_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_237]) ).

cnf(c_0_237_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_237]) ).

cnf(c_0_237_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_237]) ).

cnf(c_0_239_0,axiom,
    ( X1 = X2
    | extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_239_1,axiom,
    ( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_240_0,axiom,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_240_1,axiom,
    ( X3 != extension(X1,X2,X4,X5)
    | between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_241_0,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_241_1,axiom,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_242_0,axiom,
    ( extension(X2,X3,X3,X1) = X1
    | X2 = X3
    | ~ between(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_242_1,axiom,
    ( X2 = X3
    | extension(X2,X3,X3,X1) = X1
    | ~ between(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_242_2,axiom,
    ( ~ between(X2,X3,X1)
    | X2 = X3
    | extension(X2,X3,X3,X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_250_0,axiom,
    ( X1 = X2
    | between(X3,X2,X4)
    | ~ between(X1,X2,X4)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_250_1,axiom,
    ( between(X3,X2,X4)
    | X1 = X2
    | ~ between(X1,X2,X4)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_250_2,axiom,
    ( ~ between(X1,X2,X4)
    | between(X3,X2,X4)
    | X1 = X2
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_250_3,axiom,
    ( ~ between(X3,X1,X2)
    | ~ between(X1,X2,X4)
    | between(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_250]) ).

cnf(c_0_251_0,axiom,
    ( between(X1,X2,X3)
    | ~ between(X4,X2,X3)
    | ~ between(X4,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_251_1,axiom,
    ( ~ between(X4,X2,X3)
    | between(X1,X2,X3)
    | ~ between(X4,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_251_2,axiom,
    ( ~ between(X4,X1,X2)
    | ~ between(X4,X2,X3)
    | between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_251]) ).

cnf(c_0_252_0,axiom,
    ( between(X1,X2,X3)
    | ~ between(X2,X3,X4)
    | ~ between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_252_1,axiom,
    ( ~ between(X2,X3,X4)
    | between(X1,X2,X3)
    | ~ between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_252_2,axiom,
    ( ~ between(X1,X2,X3)
    | ~ between(X2,X3,X4)
    | between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_252]) ).

cnf(c_0_253_0,axiom,
    ( X1 = X2
    | X3 = X1
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_253_1,axiom,
    ( X3 = X1
    | X1 = X2
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_253_2,axiom,
    ( ~ between(X3,X2,X1)
    | X3 = X1
    | X1 = X2
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_253_3,axiom,
    ( ~ between(X3,X1,X2)
    | ~ between(X3,X2,X1)
    | X3 = X1
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_253]) ).

cnf(c_0_254_0,axiom,
    ( X1 = X2
    | X3 = X1
    | ~ between(X1,X3,X2)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_254_1,axiom,
    ( X3 = X1
    | X1 = X2
    | ~ between(X1,X3,X2)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_254_2,axiom,
    ( ~ between(X1,X3,X2)
    | X3 = X1
    | X1 = X2
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_254_3,axiom,
    ( ~ between(X3,X1,X2)
    | ~ between(X1,X3,X2)
    | X3 = X1
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_254]) ).

cnf(c_0_255_0,axiom,
    ( X1 = X2
    | ~ between(X3,X2,X1)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_255_1,axiom,
    ( ~ between(X3,X2,X1)
    | X1 = X2
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_255_2,axiom,
    ( ~ between(X3,X1,X2)
    | ~ between(X3,X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_255]) ).

cnf(c_0_256_0,axiom,
    ( X1 = X2
    | ~ between(X2,X1,X3)
    | ~ between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_256_1,axiom,
    ( ~ between(X2,X1,X3)
    | X1 = X2
    | ~ between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_256_2,axiom,
    ( ~ between(X1,X2,X3)
    | ~ between(X2,X1,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_256]) ).

cnf(c_0_257_0,axiom,
    ( between(X1,X2,X3)
    | X4 != X3
    | ~ between(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_257_1,axiom,
    ( X4 != X3
    | between(X1,X2,X3)
    | ~ between(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_257_2,axiom,
    ( ~ between(X4,X2,X3)
    | X4 != X3
    | between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_257]) ).

cnf(c_0_258_0,axiom,
    ( between(X1,X2,X3)
    | ~ between(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_258]) ).

cnf(c_0_258_1,axiom,
    ( ~ between(X3,X2,X1)
    | between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_258]) ).

cnf(c_0_259_0,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_259]) ).

cnf(c_0_259_1,axiom,
    ( ~ between(X1,X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_259]) ).

cnf(c_0_267_0,axiom,
    ( X1 = X2
    | reflection(X1,X2) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_267]) ).

cnf(c_0_267_1,axiom,
    ( reflection(X1,X2) != X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_267]) ).

cnf(c_0_268_0,axiom,
    ( reflection(X2,X1) = X1
    | X2 != X1 ),
    inference(literals_permutation,[status(thm)],[c_0_268]) ).

cnf(c_0_268_1,axiom,
    ( X2 != X1
    | reflection(X2,X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_268]) ).

cnf(c_0_261_0,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(literals_permutation,[status(thm)],[c_0_261]) ).

cnf(c_0_262_0,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(literals_permutation,[status(thm)],[c_0_262]) ).

cnf(c_0_263_0,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(literals_permutation,[status(thm)],[c_0_263]) ).

cnf(c_0_229_0,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(literals_permutation,[status(thm)],[c_0_229]) ).

cnf(c_0_238_0,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_243_0,axiom,
    equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_244_0,axiom,
    equidistant(X1,reflection(X2,X1),X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_244]) ).

cnf(c_0_245_0,axiom,
    extension(X1,X2,X1,X2) = reflection(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_245]) ).

cnf(c_0_246_0,axiom,
    extension(X2,X1,X3,X3) = X1,
    inference(literals_permutation,[status(thm)],[c_0_246]) ).

cnf(c_0_247_0,axiom,
    equidistant(X1,X1,X2,X2),
    inference(literals_permutation,[status(thm)],[c_0_247]) ).

cnf(c_0_248_0,axiom,
    equidistant(X1,X2,X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_248]) ).

cnf(c_0_249_0,axiom,
    equidistant(X1,X2,X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_249]) ).

cnf(c_0_260_0,axiom,
    between(X1,X2,reflection(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_260]) ).

cnf(c_0_264_0,axiom,
    between(X1,X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_264]) ).

cnf(c_0_265_0,axiom,
    between(X1,X2,X2),
    inference(literals_permutation,[status(thm)],[c_0_265]) ).

cnf(c_0_266_0,axiom,
    reflection(reflection(X1,X2),X2) = X1,
    inference(literals_permutation,[status(thm)],[c_0_266]) ).

cnf(c_0_269_0,axiom,
    reflection(X1,X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_269]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
    ~ between(u,v,x),
    file('<stdin>',prove_v_between_u_and_x) ).

fof(c_0_1_002,hypothesis,
    between(v,w,x),
    file('<stdin>',w_between_v_and_x) ).

fof(c_0_2_003,hypothesis,
    between(u,v,w),
    file('<stdin>',v_between_u_and_w) ).

fof(c_0_3_004,hypothesis,
    v != w,
    file('<stdin>',v_not_w) ).

fof(c_0_4_005,negated_conjecture,
    ~ between(u,v,x),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_5_006,hypothesis,
    between(v,w,x),
    c_0_1 ).

fof(c_0_6_007,hypothesis,
    between(u,v,w),
    c_0_2 ).

fof(c_0_7_008,hypothesis,
    v != w,
    c_0_3 ).

fof(c_0_8_009,negated_conjecture,
    ~ between(u,v,x),
    c_0_4 ).

fof(c_0_9_010,hypothesis,
    between(v,w,x),
    c_0_5 ).

fof(c_0_10_011,hypothesis,
    between(u,v,w),
    c_0_6 ).

fof(c_0_11_012,hypothesis,
    v != w,
    c_0_7 ).

cnf(c_0_12_013,negated_conjecture,
    ~ between(u,v,x),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13_014,hypothesis,
    between(v,w,x),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14_015,hypothesis,
    between(u,v,w),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15_016,hypothesis,
    v != w,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16_017,negated_conjecture,
    ~ between(u,v,x),
    c_0_12,
    [final] ).

cnf(c_0_17_018,hypothesis,
    between(v,w,x),
    c_0_13,
    [final] ).

cnf(c_0_18_019,hypothesis,
    between(u,v,w),
    c_0_14,
    [final] ).

cnf(c_0_19_020,hypothesis,
    w != v,
    c_0_15,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_140,plain,
    between(u,v,w),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_18) ).

cnf(c_172,plain,
    between(u,v,w),
    inference(copy,[status(esa)],[c_140]) ).

cnf(c_181,plain,
    between(u,v,w),
    inference(copy,[status(esa)],[c_172]) ).

cnf(c_182,plain,
    between(u,v,w),
    inference(copy,[status(esa)],[c_181]) ).

cnf(c_189,plain,
    between(u,v,w),
    inference(copy,[status(esa)],[c_182]) ).

cnf(c_607,plain,
    between(u,v,w),
    inference(copy,[status(esa)],[c_189]) ).

cnf(c_23,plain,
    ( between(X0,X1,X2)
    | ~ between(X2,X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_258_1) ).

cnf(c_373,plain,
    ( between(X0,X1,X2)
    | ~ between(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_23]) ).

cnf(c_954,plain,
    between(w,v,u),
    inference(resolution,[status(thm)],[c_607,c_373]) ).

cnf(c_955,plain,
    between(w,v,u),
    inference(rewriting,[status(thm)],[c_954]) ).

cnf(c_137,negated_conjecture,
    ~ between(u,v,x),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_16) ).

cnf(c_174,negated_conjecture,
    ~ between(u,v,x),
    inference(copy,[status(esa)],[c_137]) ).

cnf(c_178,negated_conjecture,
    ~ between(u,v,x),
    inference(copy,[status(esa)],[c_174]) ).

cnf(c_185,negated_conjecture,
    ~ between(u,v,x),
    inference(copy,[status(esa)],[c_178]) ).

cnf(c_186,negated_conjecture,
    ~ between(u,v,x),
    inference(copy,[status(esa)],[c_185]) ).

cnf(c_601,negated_conjecture,
    ~ between(u,v,x),
    inference(copy,[status(esa)],[c_186]) ).

cnf(c_24,plain,
    ( ~ between(X0,X1,X2)
    | between(X2,X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_258_0) ).

cnf(c_375,plain,
    ( ~ between(X0,X1,X2)
    | between(X2,X1,X0) ),
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_611,plain,
    ~ between(x,v,u),
    inference(resolution,[status(thm)],[c_601,c_375]) ).

cnf(c_612,plain,
    ~ between(x,v,u),
    inference(rewriting,[status(thm)],[c_611]) ).

cnf(c_50,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X2,X3)
    | X1 = X2
    | between(X0,X2,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_250_1) ).

cnf(c_427,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X2,X3)
    | X1 = X2
    | between(X0,X2,X3) ),
    inference(copy,[status(esa)],[c_50]) ).

cnf(c_428,plain,
    ( ~ between(X0,X1,X2)
    | ~ between(X1,X2,X3)
    | between(X0,X2,X3)
    | X1 = X2 ),
    inference(rewriting,[status(thm)],[c_427]) ).

cnf(c_627,plain,
    ( ~ between(x,X0,v)
    | ~ between(X0,v,u)
    | X0 = v ),
    inference(resolution,[status(thm)],[c_612,c_428]) ).

cnf(c_628,plain,
    ( ~ between(x,X0,v)
    | ~ between(X0,v,u)
    | X0 = v ),
    inference(rewriting,[status(thm)],[c_627]) ).

cnf(c_1156,plain,
    ( ~ between(x,w,v)
    | w = v ),
    inference(resolution,[status(thm)],[c_955,c_628]) ).

cnf(c_1157,plain,
    ( ~ between(x,w,v)
    | w = v ),
    inference(rewriting,[status(thm)],[c_1156]) ).

cnf(c_138,plain,
    w != v,
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_19) ).

cnf(c_168,plain,
    w != v,
    inference(copy,[status(esa)],[c_138]) ).

cnf(c_179,plain,
    w != v,
    inference(copy,[status(esa)],[c_168]) ).

cnf(c_184,plain,
    w != v,
    inference(copy,[status(esa)],[c_179]) ).

cnf(c_187,plain,
    w != v,
    inference(copy,[status(esa)],[c_184]) ).

cnf(c_603,plain,
    w != v,
    inference(copy,[status(esa)],[c_187]) ).

cnf(c_139,plain,
    between(v,w,x),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f04805.p',c_0_17) ).

cnf(c_170,plain,
    between(v,w,x),
    inference(copy,[status(esa)],[c_139]) ).

cnf(c_180,plain,
    between(v,w,x),
    inference(copy,[status(esa)],[c_170]) ).

cnf(c_183,plain,
    between(v,w,x),
    inference(copy,[status(esa)],[c_180]) ).

cnf(c_188,plain,
    between(v,w,x),
    inference(copy,[status(esa)],[c_183]) ).

cnf(c_605,plain,
    between(v,w,x),
    inference(copy,[status(esa)],[c_188]) ).

cnf(c_890,plain,
    between(x,w,v),
    inference(resolution,[status(thm)],[c_605,c_373]) ).

cnf(c_891,plain,
    between(x,w,v),
    inference(rewriting,[status(thm)],[c_890]) ).

cnf(c_2262,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1157,c_603,c_891]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 14:47:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % Orientation found
% 0.20/0.41  % 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_97a108.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f04805.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7e4db5 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 150.24/150.44  % --bmc1_dump_unsat_core_tptp           false
% 150.24/150.44  % --bmc1_dump_file                      -
% 150.24/150.44  % --bmc1_ucm_expand_uc_limit            128
% 150.24/150.44  % --bmc1_ucm_n_expand_iterations        6
% 150.24/150.44  % --bmc1_ucm_extend_mode                1
% 150.24/150.44  % --bmc1_ucm_init_mode                  2
% 150.24/150.44  % --bmc1_ucm_cone_mode                  none
% 150.24/150.44  % --bmc1_ucm_reduced_relation_type      0
% 150.24/150.44  % --bmc1_ucm_relax_model                4
% 150.24/150.44  % --bmc1_ucm_full_tr_after_sat          true
% 150.24/150.44  % --bmc1_ucm_expand_neg_assumptions     false
% 150.24/150.44  % --bmc1_ucm_layered_model              none
% 150.24/150.44  % --bmc1_ucm_max_lemma_size             10
% 150.24/150.44  
% 150.24/150.44  % ------ AIG Options
% 150.24/150.44  
% 150.24/150.44  % --aig_mode                            false
% 150.24/150.44  
% 150.24/150.44  % ------ Instantiation Options
% 150.24/150.44  
% 150.24/150.44  % --instantiation_flag                  true
% 150.24/150.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.24/150.44  % --inst_solver_per_active              750
% 150.24/150.44  % --inst_solver_calls_frac              0.5
% 150.24/150.44  % --inst_passive_queue_type             priority_queues
% 150.24/150.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.24/150.44  % --inst_passive_queues_freq            [25;2]
% 150.24/150.44  % --inst_dismatching                    true
% 150.24/150.44  % --inst_eager_unprocessed_to_passive   true
% 150.24/150.44  % --inst_prop_sim_given                 true
% 150.24/150.44  % --inst_prop_sim_new                   false
% 150.24/150.44  % --inst_orphan_elimination             true
% 150.24/150.44  % --inst_learning_loop_flag             true
% 150.24/150.44  % --inst_learning_start                 3000
% 150.24/150.44  % --inst_learning_factor                2
% 150.24/150.44  % --inst_start_prop_sim_after_learn     3
% 150.24/150.44  % --inst_sel_renew                      solver
% 150.24/150.44  % --inst_lit_activity_flag              true
% 150.24/150.44  % --inst_out_proof                      true
% 150.24/150.44  
% 150.24/150.44  % ------ Resolution Options
% 150.24/150.44  
% 150.24/150.44  % --resolution_flag                     true
% 150.24/150.44  % --res_lit_sel                         kbo_max
% 150.24/150.44  % --res_to_prop_solver                  none
% 150.24/150.44  % --res_prop_simpl_new                  false
% 150.24/150.44  % --res_prop_simpl_given                false
% 150.24/150.44  % --res_passive_queue_type              priority_queues
% 150.24/150.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.24/150.44  % --res_passive_queues_freq             [15;5]
% 150.24/150.44  % --res_forward_subs                    full
% 150.24/150.44  % --res_backward_subs                   full
% 150.24/150.44  % --res_forward_subs_resolution         true
% 150.24/150.44  % --res_backward_subs_resolution        true
% 150.24/150.44  % --res_orphan_elimination              false
% 150.24/150.44  % --res_time_limit                      1000.
% 150.24/150.44  % --res_out_proof                       true
% 150.24/150.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_97a108.s
% 150.24/150.44  % --modulo                              true
% 150.24/150.44  
% 150.24/150.44  % ------ Combination Options
% 150.24/150.44  
% 150.24/150.44  % --comb_res_mult                       1000
% 150.24/150.44  % --comb_inst_mult                      300
% 150.24/150.44  % ------ 
% 150.24/150.44  
% 150.24/150.44  % ------ Parsing...% successful
% 150.24/150.44  
% 150.24/150.44  % ------ 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 % 
% 150.24/150.44  
% 150.24/150.44  % ------ Proving...
% 150.24/150.44  % ------ Problem Properties 
% 150.24/150.44  
% 150.24/150.44  % 
% 150.24/150.44  % EPR                                   false
% 150.24/150.44  % Horn                                  false
% 150.24/150.44  % Has equality                          true
% 150.24/150.44  
% 150.24/150.44  % % ------ Input Options Time Limit: Unbounded
% 150.24/150.44  
% 150.24/150.44  
% 150.24/150.44  Compiling...
% 150.24/150.44  Loading plugin: done.
% 150.24/150.44  % 
% 150.24/150.44  
% 150.24/150.44  
% 150.24/150.44  % Time Out Real
% 150.24/150.44  
% 150.24/150.44  % ------                             Statistics
% 150.24/150.44  
% 150.24/150.44  % ------ General
% 150.24/150.44  
% 150.24/150.44  % num_of_input_clauses:                 141
% 150.24/150.44  % num_of_input_neg_conjectures:         1
% 150.24/150.44  % num_of_splits:                        0
% 150.24/150.44  % num_of_split_atoms:                   0
% 150.24/150.44  % num_of_sem_filtered_clauses:          0
% 150.24/150.44  % num_of_subtypes:                      0
% 150.24/150.44  % monotx_restored_types:                0
% 150.24/150.44  % sat_num_of_epr_types:                 0
% 150.24/150.44  % sat_num_of_non_cyclic_types:          0
% 150.24/150.44  % sat_guarded_non_collapsed_types:      0
% 150.24/150.44  % is_epr:                               0
% 150.24/150.44  % is_horn:                              0
% 150.24/150.44  % has_eq:                               1
% 150.24/150.44  % num_pure_diseq_elim:                  0
% 150.24/150.44  % simp_replaced_by:                     0
% 150.24/150.44  % res_preprocessed:                     5
% 150.24/150.44  % prep_upred:                           0
% 150.24/150.44  % prep_unflattend:                      0
% 150.24/150.44  % pred_elim_cands:                      0
% 150.24/150.44  % pred_elim:                            0
% 150.24/150.44  % pred_elim_cl:                         0
% 150.24/150.44  % pred_elim_cycles:                     0
% 150.24/150.44  % forced_gc_time:                       0
% 150.24/150.44  % gc_basic_clause_elim:                 0
% 150.24/150.44  % parsing_time:                         0.008
% 150.24/150.44  % sem_filter_time:                      0.
% 150.24/150.44  % pred_elim_time:                       0.
% 150.24/150.44  % out_proof_time:                       0.
% 150.24/150.44  % monotx_time:                          0.
% 150.24/150.44  % subtype_inf_time:                     0.
% 150.24/150.44  % unif_index_cands_time:                0.
% 150.24/150.44  % unif_index_add_time:                  0.
% 150.24/150.44  % total_time:                           150.021
% 150.24/150.44  % num_of_symbols:                       40
% 150.24/150.44  % num_of_terms:                         339
% 150.24/150.44  
% 150.24/150.44  % ------ Propositional Solver
% 150.24/150.44  
% 150.24/150.44  % prop_solver_calls:                    1
% 150.24/150.44  % prop_fast_solver_calls:               9
% 150.24/150.44  % prop_num_of_clauses:                  111
% 150.24/150.44  % prop_preprocess_simplified:           462
% 150.24/150.44  % prop_fo_subsumed:                     0
% 150.24/150.44  % prop_solver_time:                     0.
% 150.24/150.44  % prop_fast_solver_time:                0.
% 150.24/150.44  % prop_unsat_core_time:                 0.
% 150.24/150.44  
% 150.24/150.44  % ------ QBF 
% 150.24/150.44  
% 150.24/150.44  % qbf_q_res:                            0
% 150.24/150.44  % qbf_num_tautologies:                  0
% 150.24/150.44  % qbf_prep_cycles:                      0
% 150.24/150.44  
% 150.24/150.44  % ------ BMC1
% 150.24/150.44  
% 150.24/150.44  % bmc1_current_bound:                   -1
% 150.24/150.44  % bmc1_last_solved_bound:               -1
% 150.24/150.44  % bmc1_unsat_core_size:                 -1
% 150.24/150.44  % bmc1_unsat_core_parents_size:         -1
% 150.24/150.44  % bmc1_merge_next_fun:                  0
% 150.24/150.44  % bmc1_unsat_core_clauses_time:         0.
% 150.24/150.44  
% 150.24/150.44  % ------ Instantiation
% 150.24/150.44  
% 150.24/150.44  % inst_num_of_clauses:                  141
% 150.24/150.44  % inst_num_in_passive:                  0
% 150.24/150.44  % inst_num_in_active:                   0
% 150.24/150.44  % inst_num_in_unprocessed:              141
% 150.24/150.44  % inst_num_of_loops:                    0
% 150.24/150.44  % inst_num_of_learning_restarts:        0
% 150.24/150.44  % inst_num_moves_active_passive:        0
% 150.24/150.44  % inst_lit_activity:                    0
% 150.24/150.44  % inst_lit_activity_moves:              0
% 150.24/150.44  % inst_num_tautologies:                 0
% 150.24/150.44  % inst_num_prop_implied:                0
% 150.24/150.44  % inst_num_existing_simplified:         0
% 150.24/150.44  % inst_num_eq_res_simplified:           0
% 150.24/150.44  % inst_num_child_elim:                  0
% 150.24/150.44  % inst_num_of_dismatching_blockings:    0
% 150.24/150.44  % inst_num_of_non_proper_insts:         0
% 150.24/150.44  % inst_num_of_duplicates:               0
% 150.24/150.44  % inst_inst_num_from_inst_to_res:       0
% 150.24/150.44  % inst_dismatching_checking_time:       0.
% 150.24/150.44  
% 150.24/150.44  % ------ Resolution
% 150.24/150.44  
% 150.24/150.44  % res_num_of_clauses:                   158
% 150.24/150.44  % res_num_in_passive:                   0
% 150.24/150.44  % res_num_in_active:                    82
% 150.24/150.44  % res_num_of_loops:                     0
% 150.24/150.44  % res_forward_subset_subsumed:          35
% 150.24/150.44  % res_backward_subset_subsumed:         3
% 150.24/150.44  % res_forward_subsumed:                 0
% 150.24/150.44  % res_backward_subsumed:                0
% 150.24/150.44  % res_forward_subsumption_resolution:   0
% 150.24/150.44  % res_backward_subsumption_resolution:  0
% 150.24/150.44  % res_clause_to_clause_subsumption:     0
% 150.24/150.44  % res_orphan_elimination:               0
% 150.24/150.44  % res_tautology_del:                    3
% 150.24/150.44  % res_num_eq_res_simplified:            0
% 150.24/150.44  % res_num_sel_changes:                  0
% 150.24/150.44  % res_moves_from_active_to_pass:        0
% 150.24/150.44  
% 150.24/150.44  % Status Unknown
% 150.29/150.49  % Orienting using strategy ClausalAll
% 150.29/150.49  % Orientation found
% 150.29/150.49  % 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_97a108.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f04805.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f059e2 | grep -v "SZS"
% 150.29/150.51  
% 150.29/150.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.29/150.51  
% 150.29/150.51  % 
% 150.29/150.51  % ------  iProver source info 
% 150.29/150.51  
% 150.29/150.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.29/150.51  % git: non_committed_changes: true
% 150.29/150.51  % git: last_make_outside_of_git: true
% 150.29/150.51  
% 150.29/150.51  % 
% 150.29/150.51  % ------ Input Options
% 150.29/150.51  
% 150.29/150.51  % --out_options                         all
% 150.29/150.51  % --tptp_safe_out                       true
% 150.29/150.51  % --problem_path                        ""
% 150.29/150.51  % --include_path                        ""
% 150.29/150.51  % --clausifier                          .//eprover
% 150.29/150.51  % --clausifier_options                  --tstp-format  
% 150.29/150.51  % --stdin                               false
% 150.29/150.51  % --dbg_backtrace                       false
% 150.29/150.51  % --dbg_dump_prop_clauses               false
% 150.29/150.51  % --dbg_dump_prop_clauses_file          -
% 150.29/150.51  % --dbg_out_stat                        false
% 150.29/150.51  
% 150.29/150.51  % ------ General Options
% 150.29/150.51  
% 150.29/150.51  % --fof                                 false
% 150.29/150.51  % --time_out_real                       150.
% 150.29/150.51  % --time_out_prep_mult                  0.2
% 150.29/150.51  % --time_out_virtual                    -1.
% 150.29/150.51  % --schedule                            none
% 150.29/150.51  % --ground_splitting                    input
% 150.29/150.51  % --splitting_nvd                       16
% 150.29/150.51  % --non_eq_to_eq                        false
% 150.29/150.51  % --prep_gs_sim                         true
% 150.29/150.51  % --prep_unflatten                      false
% 150.29/150.51  % --prep_res_sim                        true
% 150.29/150.51  % --prep_upred                          true
% 150.29/150.51  % --res_sim_input                       true
% 150.29/150.51  % --clause_weak_htbl                    true
% 150.29/150.51  % --gc_record_bc_elim                   false
% 150.29/150.51  % --symbol_type_check                   false
% 150.29/150.51  % --clausify_out                        false
% 150.29/150.51  % --large_theory_mode                   false
% 150.29/150.51  % --prep_sem_filter                     none
% 150.29/150.51  % --prep_sem_filter_out                 false
% 150.29/150.51  % --preprocessed_out                    false
% 150.29/150.51  % --sub_typing                          false
% 150.29/150.51  % --brand_transform                     false
% 150.29/150.51  % --pure_diseq_elim                     true
% 150.29/150.51  % --min_unsat_core                      false
% 150.29/150.51  % --pred_elim                           true
% 150.29/150.51  % --add_important_lit                   false
% 150.29/150.51  % --soft_assumptions                    false
% 150.29/150.51  % --reset_solvers                       false
% 150.29/150.51  % --bc_imp_inh                          []
% 150.29/150.51  % --conj_cone_tolerance                 1.5
% 150.29/150.51  % --prolific_symb_bound                 500
% 150.29/150.51  % --lt_threshold                        2000
% 150.29/150.51  
% 150.29/150.51  % ------ SAT Options
% 150.29/150.51  
% 150.29/150.51  % --sat_mode                            false
% 150.29/150.51  % --sat_fm_restart_options              ""
% 150.29/150.51  % --sat_gr_def                          false
% 150.29/150.51  % --sat_epr_types                       true
% 150.29/150.51  % --sat_non_cyclic_types                false
% 150.29/150.51  % --sat_finite_models                   false
% 150.29/150.51  % --sat_fm_lemmas                       false
% 150.29/150.51  % --sat_fm_prep                         false
% 150.29/150.51  % --sat_fm_uc_incr                      true
% 150.29/150.51  % --sat_out_model                       small
% 150.29/150.51  % --sat_out_clauses                     false
% 150.29/150.51  
% 150.29/150.51  % ------ QBF Options
% 150.29/150.51  
% 150.29/150.51  % --qbf_mode                            false
% 150.29/150.51  % --qbf_elim_univ                       true
% 150.29/150.51  % --qbf_sk_in                           true
% 150.29/150.51  % --qbf_pred_elim                       true
% 150.29/150.51  % --qbf_split                           32
% 150.29/150.51  
% 150.29/150.51  % ------ BMC1 Options
% 150.29/150.51  
% 150.29/150.51  % --bmc1_incremental                    false
% 150.29/150.51  % --bmc1_axioms                         reachable_all
% 150.29/150.51  % --bmc1_min_bound                      0
% 150.29/150.51  % --bmc1_max_bound                      -1
% 150.29/150.51  % --bmc1_max_bound_default              -1
% 150.29/150.51  % --bmc1_symbol_reachability            true
% 150.29/150.51  % --bmc1_property_lemmas                false
% 150.29/150.51  % --bmc1_k_induction                    false
% 150.29/150.51  % --bmc1_non_equiv_states               false
% 150.29/150.51  % --bmc1_deadlock                       false
% 150.29/150.51  % --bmc1_ucm                            false
% 150.29/150.51  % --bmc1_add_unsat_core                 none
% 150.29/150.51  % --bmc1_unsat_core_children            false
% 150.29/150.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.29/150.51  % --bmc1_out_stat                       full
% 150.29/150.51  % --bmc1_ground_init                    false
% 150.29/150.51  % --bmc1_pre_inst_next_state            false
% 150.29/150.51  % --bmc1_pre_inst_state                 false
% 150.29/150.51  % --bmc1_pre_inst_reach_state           false
% 150.29/150.51  % --bmc1_out_unsat_core                 false
% 150.29/150.51  % --bmc1_aig_witness_out                false
% 150.29/150.51  % --bmc1_verbose                        false
% 150.29/150.51  % --bmc1_dump_clauses_tptp              false
% 150.34/150.71  % --bmc1_dump_unsat_core_tptp           false
% 150.34/150.71  % --bmc1_dump_file                      -
% 150.34/150.71  % --bmc1_ucm_expand_uc_limit            128
% 150.34/150.71  % --bmc1_ucm_n_expand_iterations        6
% 150.34/150.71  % --bmc1_ucm_extend_mode                1
% 150.34/150.71  % --bmc1_ucm_init_mode                  2
% 150.34/150.71  % --bmc1_ucm_cone_mode                  none
% 150.34/150.71  % --bmc1_ucm_reduced_relation_type      0
% 150.34/150.71  % --bmc1_ucm_relax_model                4
% 150.34/150.71  % --bmc1_ucm_full_tr_after_sat          true
% 150.34/150.71  % --bmc1_ucm_expand_neg_assumptions     false
% 150.34/150.71  % --bmc1_ucm_layered_model              none
% 150.34/150.71  % --bmc1_ucm_max_lemma_size             10
% 150.34/150.71  
% 150.34/150.71  % ------ AIG Options
% 150.34/150.71  
% 150.34/150.71  % --aig_mode                            false
% 150.34/150.71  
% 150.34/150.71  % ------ Instantiation Options
% 150.34/150.71  
% 150.34/150.71  % --instantiation_flag                  true
% 150.34/150.71  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.71  % --inst_solver_per_active              750
% 150.34/150.71  % --inst_solver_calls_frac              0.5
% 150.34/150.71  % --inst_passive_queue_type             priority_queues
% 150.34/150.71  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.71  % --inst_passive_queues_freq            [25;2]
% 150.34/150.71  % --inst_dismatching                    true
% 150.34/150.71  % --inst_eager_unprocessed_to_passive   true
% 150.34/150.71  % --inst_prop_sim_given                 true
% 150.34/150.71  % --inst_prop_sim_new                   false
% 150.34/150.71  % --inst_orphan_elimination             true
% 150.34/150.71  % --inst_learning_loop_flag             true
% 150.34/150.71  % --inst_learning_start                 3000
% 150.34/150.71  % --inst_learning_factor                2
% 150.34/150.71  % --inst_start_prop_sim_after_learn     3
% 150.34/150.71  % --inst_sel_renew                      solver
% 150.34/150.71  % --inst_lit_activity_flag              true
% 150.34/150.71  % --inst_out_proof                      true
% 150.34/150.71  
% 150.34/150.71  % ------ Resolution Options
% 150.34/150.71  
% 150.34/150.71  % --resolution_flag                     true
% 150.34/150.71  % --res_lit_sel                         kbo_max
% 150.34/150.71  % --res_to_prop_solver                  none
% 150.34/150.71  % --res_prop_simpl_new                  false
% 150.34/150.71  % --res_prop_simpl_given                false
% 150.34/150.71  % --res_passive_queue_type              priority_queues
% 150.34/150.71  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.34/150.71  % --res_passive_queues_freq             [15;5]
% 150.34/150.71  % --res_forward_subs                    full
% 150.34/150.71  % --res_backward_subs                   full
% 150.34/150.71  % --res_forward_subs_resolution         true
% 150.34/150.71  % --res_backward_subs_resolution        true
% 150.34/150.71  % --res_orphan_elimination              false
% 150.34/150.71  % --res_time_limit                      1000.
% 150.34/150.71  % --res_out_proof                       true
% 150.34/150.71  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_97a108.s
% 150.34/150.71  % --modulo                              true
% 150.34/150.71  
% 150.34/150.71  % ------ Combination Options
% 150.34/150.71  
% 150.34/150.71  % --comb_res_mult                       1000
% 150.34/150.71  % --comb_inst_mult                      300
% 150.34/150.71  % ------ 
% 150.34/150.71  
% 150.34/150.71  % ------ Parsing...% successful
% 150.34/150.71  
% 150.34/150.71  % ------ 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 % 
% 150.34/150.71  
% 150.34/150.71  % ------ Proving...
% 150.34/150.71  % ------ Problem Properties 
% 150.34/150.71  
% 150.34/150.71  % 
% 150.34/150.71  % EPR                                   false
% 150.34/150.71  % Horn                                  false
% 150.34/150.71  % Has equality                          true
% 150.34/150.71  
% 150.34/150.71  % % ------ Input Options Time Limit: Unbounded
% 150.34/150.71  
% 150.34/150.71  
% 150.34/150.71  Compiling...
% 150.34/150.71  Loading plugin: done.
% 150.34/150.71  Compiling...
% 150.34/150.71  Loading plugin: done.
% 150.34/150.71  % % ------ Current options:
% 150.34/150.71  
% 150.34/150.71  % ------ Input Options
% 150.34/150.71  
% 150.34/150.71  % --out_options                         all
% 150.34/150.71  % --tptp_safe_out                       true
% 150.34/150.71  % --problem_path                        ""
% 150.34/150.71  % --include_path                        ""
% 150.34/150.71  % --clausifier                          .//eprover
% 150.34/150.71  % --clausifier_options                  --tstp-format  
% 150.34/150.71  % --stdin                               false
% 150.34/150.71  % --dbg_backtrace                       false
% 150.34/150.71  % --dbg_dump_prop_clauses               false
% 150.34/150.71  % --dbg_dump_prop_clauses_file          -
% 150.34/150.71  % --dbg_out_stat                        false
% 150.34/150.71  
% 150.34/150.71  % ------ General Options
% 150.34/150.71  
% 150.34/150.71  % --fof                                 false
% 150.34/150.71  % --time_out_real                       150.
% 150.34/150.71  % --time_out_prep_mult                  0.2
% 150.34/150.71  % --time_out_virtual                    -1.
% 150.34/150.71  % --schedule                            none
% 150.34/150.71  % --ground_splitting                    input
% 150.34/150.71  % --splitting_nvd                       16
% 150.34/150.71  % --non_eq_to_eq                        false
% 150.34/150.71  % --prep_gs_sim                         true
% 150.34/150.71  % --prep_unflatten                      false
% 150.34/150.71  % --prep_res_sim                        true
% 150.34/150.71  % --prep_upred                          true
% 150.34/150.71  % --res_sim_input                       true
% 150.34/150.71  % --clause_weak_htbl                    true
% 150.34/150.71  % --gc_record_bc_elim                   false
% 150.34/150.71  % --symbol_type_check                   false
% 150.34/150.71  % --clausify_out                        false
% 150.34/150.71  % --large_theory_mode                   false
% 150.34/150.71  % --prep_sem_filter                     none
% 150.34/150.71  % --prep_sem_filter_out                 false
% 150.34/150.71  % --preprocessed_out                    false
% 150.34/150.71  % --sub_typing                          false
% 150.34/150.71  % --brand_transform                     false
% 150.34/150.71  % --pure_diseq_elim                     true
% 150.34/150.71  % --min_unsat_core                      false
% 150.34/150.71  % --pred_elim                           true
% 150.34/150.71  % --add_important_lit                   false
% 150.34/150.71  % --soft_assumptions                    false
% 150.34/150.71  % --reset_solvers                       false
% 150.34/150.71  % --bc_imp_inh                          []
% 150.34/150.71  % --conj_cone_tolerance                 1.5
% 150.34/150.71  % --prolific_symb_bound                 500
% 150.34/150.71  % --lt_threshold                        2000
% 150.34/150.71  
% 150.34/150.71  % ------ SAT Options
% 150.34/150.71  
% 150.34/150.71  % --sat_mode                            false
% 150.34/150.71  % --sat_fm_restart_options              ""
% 150.34/150.71  % --sat_gr_def                          false
% 150.34/150.71  % --sat_epr_types                       true
% 150.34/150.71  % --sat_non_cyclic_types                false
% 150.34/150.71  % --sat_finite_models                   false
% 150.34/150.71  % --sat_fm_lemmas                       false
% 150.34/150.71  % --sat_fm_prep                         false
% 150.34/150.71  % --sat_fm_uc_incr                      true
% 150.34/150.71  % --sat_out_model                       small
% 150.34/150.71  % --sat_out_clauses                     false
% 150.34/150.71  
% 150.34/150.71  % ------ QBF Options
% 150.34/150.71  
% 150.34/150.71  % --qbf_mode                            false
% 150.34/150.71  % --qbf_elim_univ                       true
% 150.34/150.71  % --qbf_sk_in                           true
% 150.34/150.71  % --qbf_pred_elim                       true
% 150.34/150.71  % --qbf_split                           32
% 150.34/150.71  
% 150.34/150.71  % ------ BMC1 Options
% 150.34/150.71  
% 150.34/150.71  % --bmc1_incremental                    false
% 150.34/150.71  % --bmc1_axioms                         reachable_all
% 150.34/150.71  % --bmc1_min_bound                      0
% 150.34/150.71  % --bmc1_max_bound                      -1
% 150.34/150.71  % --bmc1_max_bound_default              -1
% 150.34/150.71  % --bmc1_symbol_reachability            true
% 150.34/150.71  % --bmc1_property_lemmas                false
% 150.34/150.71  % --bmc1_k_induction                    false
% 150.34/150.71  % --bmc1_non_equiv_states               false
% 150.34/150.71  % --bmc1_deadlock                       false
% 150.34/150.71  % --bmc1_ucm                            false
% 150.34/150.71  % --bmc1_add_unsat_core                 none
% 150.34/150.71  % --bmc1_unsat_core_children            false
% 150.34/150.71  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.34/150.71  % --bmc1_out_stat                       full
% 150.34/150.71  % --bmc1_ground_init                    false
% 150.34/150.71  % --bmc1_pre_inst_next_state            false
% 150.34/150.71  % --bmc1_pre_inst_state                 false
% 150.34/150.71  % --bmc1_pre_inst_reach_state           false
% 150.34/150.71  % --bmc1_out_unsat_core                 false
% 150.34/150.71  % --bmc1_aig_witness_out                false
% 150.34/150.71  % --bmc1_verbose                        false
% 150.34/150.71  % --bmc1_dump_clauses_tptp              false
% 150.34/150.71  % --bmc1_dump_unsat_core_tptp           false
% 150.34/150.71  % --bmc1_dump_file                      -
% 150.34/150.71  % --bmc1_ucm_expand_uc_limit            128
% 150.34/150.71  % --bmc1_ucm_n_expand_iterations        6
% 150.34/150.71  % --bmc1_ucm_extend_mode                1
% 150.34/150.71  % --bmc1_ucm_init_mode                  2
% 150.34/150.71  % --bmc1_ucm_cone_mode                  none
% 150.34/150.71  % --bmc1_ucm_reduced_relation_type      0
% 150.34/150.71  % --bmc1_ucm_relax_model                4
% 150.34/150.71  % --bmc1_ucm_full_tr_after_sat          true
% 150.34/150.71  % --bmc1_ucm_expand_neg_assumptions     false
% 150.34/150.71  % --bmc1_ucm_layered_model              none
% 150.34/150.71  % --bmc1_ucm_max_lemma_size             10
% 150.34/150.71  
% 150.34/150.71  % ------ AIG Options
% 150.34/150.71  
% 150.34/150.71  % --aig_mode                            false
% 150.34/150.71  
% 150.34/150.71  % ------ Instantiation Options
% 150.34/150.71  
% 150.34/150.71  % --instantiation_flag                  true
% 150.34/150.71  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.34/150.71  % --inst_solver_per_active              750
% 150.34/150.71  % --inst_solver_calls_frac              0.5
% 150.34/150.71  % --inst_passive_queue_type             priority_queues
% 150.34/150.71  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.34/150.71  % --inst_passive_queues_freq            [25;2]
% 150.34/150.71  % --inst_dismatching                    true
% 150.34/150.77  % --inst_eager_unprocessed_to_passive   true
% 150.34/150.77  % --inst_prop_sim_given                 true
% 150.34/150.77  % --inst_prop_sim_new                   false
% 150.34/150.77  % --inst_orphan_elimination             true
% 150.34/150.77  % --inst_learning_loop_flag             true
% 150.34/150.77  % --inst_learning_start                 3000
% 150.34/150.77  % --inst_learning_factor                2
% 150.34/150.77  % --inst_start_prop_sim_after_learn     3
% 150.34/150.77  % --inst_sel_renew                      solver
% 150.34/150.77  % --inst_lit_activity_flag              true
% 150.34/150.77  % --inst_out_proof                      true
% 150.34/150.77  
% 150.34/150.77  % ------ Resolution Options
% 150.34/150.77  
% 150.34/150.77  % --resolution_flag                     true
% 150.34/150.77  % --res_lit_sel                         kbo_max
% 150.34/150.77  % --res_to_prop_solver                  none
% 150.34/150.77  % --res_prop_simpl_new                  false
% 150.34/150.77  % --res_prop_simpl_given                false
% 150.34/150.77  % --res_passive_queue_type              priority_queues
% 150.34/150.77  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.34/150.77  % --res_passive_queues_freq             [15;5]
% 150.34/150.77  % --res_forward_subs                    full
% 150.34/150.77  % --res_backward_subs                   full
% 150.34/150.77  % --res_forward_subs_resolution         true
% 150.34/150.77  % --res_backward_subs_resolution        true
% 150.34/150.77  % --res_orphan_elimination              false
% 150.34/150.77  % --res_time_limit                      1000.
% 150.34/150.77  % --res_out_proof                       true
% 150.34/150.77  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_97a108.s
% 150.34/150.77  % --modulo                              true
% 150.34/150.77  
% 150.34/150.77  % ------ Combination Options
% 150.34/150.77  
% 150.34/150.77  % --comb_res_mult                       1000
% 150.34/150.77  % --comb_inst_mult                      300
% 150.34/150.77  % ------ 
% 150.34/150.77  
% 150.34/150.77  
% 150.34/150.77  
% 150.34/150.77  % ------ Proving...
% 150.34/150.77  % 
% 150.34/150.77  
% 150.34/150.77  
% 150.34/150.77  %  Resolution empty clause
% 150.34/150.77  
% 150.34/150.77  % ------                             Statistics
% 150.34/150.77  
% 150.34/150.77  % ------ General
% 150.34/150.77  
% 150.34/150.77  % num_of_input_clauses:                 141
% 150.34/150.77  % num_of_input_neg_conjectures:         1
% 150.34/150.77  % num_of_splits:                        0
% 150.34/150.77  % num_of_split_atoms:                   0
% 150.34/150.77  % num_of_sem_filtered_clauses:          0
% 150.34/150.77  % num_of_subtypes:                      0
% 150.34/150.77  % monotx_restored_types:                0
% 150.34/150.77  % sat_num_of_epr_types:                 0
% 150.34/150.77  % sat_num_of_non_cyclic_types:          0
% 150.34/150.77  % sat_guarded_non_collapsed_types:      0
% 150.34/150.77  % is_epr:                               0
% 150.34/150.77  % is_horn:                              0
% 150.34/150.77  % has_eq:                               1
% 150.34/150.77  % num_pure_diseq_elim:                  0
% 150.34/150.77  % simp_replaced_by:                     0
% 150.34/150.77  % res_preprocessed:                     5
% 150.34/150.77  % prep_upred:                           0
% 150.34/150.77  % prep_unflattend:                      0
% 150.34/150.77  % pred_elim_cands:                      0
% 150.34/150.77  % pred_elim:                            0
% 150.34/150.77  % pred_elim_cl:                         0
% 150.34/150.77  % pred_elim_cycles:                     0
% 150.34/150.77  % forced_gc_time:                       0
% 150.34/150.77  % gc_basic_clause_elim:                 0
% 150.34/150.77  % parsing_time:                         0.004
% 150.34/150.77  % sem_filter_time:                      0.
% 150.34/150.77  % pred_elim_time:                       0.
% 150.34/150.77  % out_proof_time:                       0.
% 150.34/150.77  % monotx_time:                          0.
% 150.34/150.77  % subtype_inf_time:                     0.
% 150.34/150.77  % unif_index_cands_time:                0.
% 150.34/150.77  % unif_index_add_time:                  0.
% 150.34/150.77  % total_time:                           0.277
% 150.34/150.77  % num_of_symbols:                       40
% 150.34/150.77  % num_of_terms:                         1345
% 150.34/150.77  
% 150.34/150.77  % ------ Propositional Solver
% 150.34/150.77  
% 150.34/150.77  % prop_solver_calls:                    1
% 150.34/150.77  % prop_fast_solver_calls:               9
% 150.34/150.77  % prop_num_of_clauses:                  120
% 150.34/150.77  % prop_preprocess_simplified:           453
% 150.34/150.77  % prop_fo_subsumed:                     0
% 150.34/150.77  % prop_solver_time:                     0.
% 150.34/150.77  % prop_fast_solver_time:                0.
% 150.34/150.77  % prop_unsat_core_time:                 0.
% 150.34/150.77  
% 150.34/150.77  % ------ QBF 
% 150.34/150.77  
% 150.34/150.77  % qbf_q_res:                            0
% 150.34/150.77  % qbf_num_tautologies:                  0
% 150.34/150.77  % qbf_prep_cycles:                      0
% 150.34/150.77  
% 150.34/150.77  % ------ BMC1
% 150.34/150.77  
% 150.34/150.77  % bmc1_current_bound:                   -1
% 150.34/150.77  % bmc1_last_solved_bound:               -1
% 150.34/150.77  % bmc1_unsat_core_size:                 -1
% 150.34/150.77  % bmc1_unsat_core_parents_size:         -1
% 150.34/150.77  % bmc1_merge_next_fun:                  0
% 150.34/150.77  % bmc1_unsat_core_clauses_time:         0.
% 150.34/150.77  
% 150.34/150.77  % ------ Instantiation
% 150.34/150.77  
% 150.34/150.77  % inst_num_of_clauses:                  141
% 150.34/150.77  % inst_num_in_passive:                  0
% 150.34/150.77  % inst_num_in_active:                   0
% 150.34/150.77  % inst_num_in_unprocessed:              141
% 150.34/150.77  % inst_num_of_loops:                    0
% 150.34/150.77  % inst_num_of_learning_restarts:        0
% 150.34/150.77  % inst_num_moves_active_passive:        0
% 150.34/150.77  % inst_lit_activity:                    0
% 150.34/150.77  % inst_lit_activity_moves:              0
% 150.34/150.77  % inst_num_tautologies:                 0
% 150.34/150.77  % inst_num_prop_implied:                0
% 150.34/150.77  % inst_num_existing_simplified:         0
% 150.34/150.77  % inst_num_eq_res_simplified:           0
% 150.34/150.77  % inst_num_child_elim:                  0
% 150.34/150.77  % inst_num_of_dismatching_blockings:    0
% 150.34/150.77  % inst_num_of_non_proper_insts:         0
% 150.34/150.77  % inst_num_of_duplicates:               0
% 150.34/150.77  % inst_inst_num_from_inst_to_res:       0
% 150.34/150.77  % inst_dismatching_checking_time:       0.
% 150.34/150.77  
% 150.34/150.77  % ------ Resolution
% 150.34/150.77  
% 150.34/150.77  % res_num_of_clauses:                   677
% 150.34/150.77  % res_num_in_passive:                   461
% 150.34/150.77  % res_num_in_active:                    142
% 150.34/150.77  % res_num_of_loops:                     52
% 150.34/150.77  % res_forward_subset_subsumed:          110
% 150.34/150.77  % res_backward_subset_subsumed:         8
% 150.34/150.77  % res_forward_subsumed:                 0
% 150.34/150.77  % res_backward_subsumed:                0
% 150.34/150.77  % res_forward_subsumption_resolution:   5
% 150.34/150.77  % res_backward_subsumption_resolution:  0
% 150.34/150.77  % res_clause_to_clause_subsumption:     3565
% 150.34/150.77  % res_orphan_elimination:               0
% 150.34/150.77  % res_tautology_del:                    3
% 150.34/150.77  % res_num_eq_res_simplified:            0
% 150.34/150.77  % res_num_sel_changes:                  0
% 150.34/150.77  % res_moves_from_active_to_pass:        0
% 150.34/150.77  
% 150.34/150.78  % Status Unsatisfiable
% 150.34/150.78  % SZS status Unsatisfiable
% 150.34/150.78  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------