TSTP Solution File: GEO011-4 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GEO011-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:39:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  198 (  54 unt;   0 def)
%            Number of atoms       :  642 (  66 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  810 ( 366   ~; 444   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-6 aty)
%            Number of variables   :  738 (   9 sgn 249   !;   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,X3,X4,X10,X6,X11] :
      ( ~ equal_distance(distance(X11,X6),distance(X11,X10))
      | ~ equal_distance(distance(X11,X3),distance(X11,X9))
      | ~ between(X11,X6,X3)
      | ~ between(X6,X4,X3)
      | equal_distance(distance(X11,X4),distance(X11,continuous(X11,X6,X10,X4,X3,X9))) ),
    file('<stdin>',continuity2) ).

fof(c_0_1,axiom,
    ! [X9,X3,X4,X10,X6,X11] :
      ( ~ equal_distance(distance(X11,X6),distance(X11,X10))
      | ~ equal_distance(distance(X11,X3),distance(X11,X9))
      | ~ between(X11,X6,X3)
      | ~ between(X6,X4,X3)
      | between(X10,continuous(X11,X6,X10,X4,X3,X9),X9) ),
    file('<stdin>',continuity1) ).

fof(c_0_2,axiom,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | ~ between(X6,X4,X3)
      | X11 = X4
      | between(euclid1(X11,X6,X4,X3,X2),X2,euclid2(X11,X6,X4,X3,X2)) ),
    file('<stdin>',euclid3) ).

fof(c_0_3,axiom,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | ~ between(X6,X4,X3)
      | X11 = X4
      | between(X11,X3,euclid2(X11,X6,X4,X3,X2)) ),
    file('<stdin>',euclid2) ).

fof(c_0_4,axiom,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | ~ between(X6,X4,X3)
      | X11 = X4
      | between(X11,X6,euclid1(X11,X6,X4,X3,X2)) ),
    file('<stdin>',euclid1) ).

fof(c_0_5,axiom,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X2,X3,X4)
      | between(X3,inner_pasch(X11,X6,X4,X3,X2),X11) ),
    file('<stdin>',inner_pasch2) ).

fof(c_0_6,axiom,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X2,X3,X4)
      | between(X6,inner_pasch(X11,X6,X4,X3,X2),X2) ),
    file('<stdin>',inner_pasch1) ).

fof(c_0_7,axiom,
    ! [X2,X3,X4,X6] : equal_distance(distance(X2,extension(X3,X2,X4,X6)),distance(X4,X6)),
    file('<stdin>',segment_construction2) ).

fof(c_0_8,axiom,
    ! [X7,X1,X8,X2,X9,X3,X10,X6] :
      ( ~ equal_distance(distance(X3,X2),distance(X9,X8))
      | ~ equal_distance(distance(X2,X1),distance(X8,X7))
      | ~ equal_distance(distance(X3,X6),distance(X9,X10))
      | ~ equal_distance(distance(X2,X6),distance(X8,X10))
      | ~ between(X3,X2,X1)
      | ~ between(X9,X8,X7)
      | X3 = X2
      | equal_distance(distance(X1,X6),distance(X7,X10)) ),
    file('<stdin>',outer_five_segment) ).

fof(c_0_9,axiom,
    ! [X2,X3,X4,X6] : between(X3,X2,extension(X3,X2,X4,X6)),
    file('<stdin>',segment_construction1) ).

fof(c_0_10,axiom,
    ! [X1,X2,X3,X4,X6] :
      ( ~ equal_distance(distance(X3,X4),distance(X3,X6))
      | ~ equal_distance(distance(X2,X4),distance(X2,X6))
      | ~ equal_distance(distance(X1,X4),distance(X1,X6))
      | between(X3,X2,X1)
      | between(X2,X1,X3)
      | between(X1,X3,X2)
      | X4 = X6 ),
    file('<stdin>',upper_dimension) ).

fof(c_0_11,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ equal_distance(distance(X3,X2),distance(X1,X6))
      | ~ equal_distance(distance(X3,X2),distance(X5,X4))
      | equal_distance(distance(X1,X6),distance(X5,X4)) ),
    file('<stdin>',transitivity_for_equidistance) ).

fof(c_0_12,axiom,
    ! [X1,X2,X3] :
      ( ~ colinear(X3,X2,X1)
      | between(X3,X2,X1)
      | between(X2,X1,X3)
      | between(X1,X3,X2) ),
    file('<stdin>',colinearity4) ).

fof(c_0_13,axiom,
    ! [X1,X2,X3] :
      ( ~ between(X1,X3,X2)
      | colinear(X3,X2,X1) ),
    file('<stdin>',colinearity3) ).

fof(c_0_14,axiom,
    ! [X1,X2,X3] :
      ( ~ between(X2,X1,X3)
      | colinear(X3,X2,X1) ),
    file('<stdin>',colinearity2) ).

fof(c_0_15,axiom,
    ! [X1,X2,X3] :
      ( ~ between(X3,X2,X1)
      | colinear(X3,X2,X1) ),
    file('<stdin>',colinearity1) ).

fof(c_0_16,axiom,
    ! [X1,X2,X3] :
      ( ~ equal_distance(distance(X3,X2),distance(X1,X1))
      | X3 = X2 ),
    file('<stdin>',identity_for_equidistance) ).

fof(c_0_17,axiom,
    ! [X2,X3] :
      ( ~ between(X3,X2,X3)
      | X3 = X2 ),
    file('<stdin>',identity_for_betweeness) ).

fof(c_0_18,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('<stdin>',lower_dimension3) ).

fof(c_0_19,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('<stdin>',lower_dimension2) ).

fof(c_0_20,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('<stdin>',lower_dimension1) ).

fof(c_0_21,axiom,
    ! [X2,X3] : equal_distance(distance(X3,X2),distance(X2,X3)),
    file('<stdin>',reflexivity_for_equidistance) ).

fof(c_0_22,plain,
    ! [X9,X3,X4,X10,X6,X11] :
      ( ~ equal_distance(distance(X11,X6),distance(X11,X10))
      | ~ equal_distance(distance(X11,X3),distance(X11,X9))
      | ~ between(X11,X6,X3)
      | ~ between(X6,X4,X3)
      | equal_distance(distance(X11,X4),distance(X11,continuous(X11,X6,X10,X4,X3,X9))) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_23,plain,
    ! [X9,X3,X4,X10,X6,X11] :
      ( ~ equal_distance(distance(X11,X6),distance(X11,X10))
      | ~ equal_distance(distance(X11,X3),distance(X11,X9))
      | ~ between(X11,X6,X3)
      | ~ between(X6,X4,X3)
      | between(X10,continuous(X11,X6,X10,X4,X3,X9),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_24,plain,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | ~ between(X6,X4,X3)
      | X11 = X4
      | between(euclid1(X11,X6,X4,X3,X2),X2,euclid2(X11,X6,X4,X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_25,plain,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | ~ between(X6,X4,X3)
      | X11 = X4
      | between(X11,X3,euclid2(X11,X6,X4,X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_26,plain,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X4,X2)
      | ~ between(X6,X4,X3)
      | X11 = X4
      | between(X11,X6,euclid1(X11,X6,X4,X3,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_27,plain,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X2,X3,X4)
      | between(X3,inner_pasch(X11,X6,X4,X3,X2),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_28,plain,
    ! [X2,X3,X4,X6,X11] :
      ( ~ between(X11,X6,X4)
      | ~ between(X2,X3,X4)
      | between(X6,inner_pasch(X11,X6,X4,X3,X2),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_29,axiom,
    ! [X2,X3,X4,X6] : equal_distance(distance(X2,extension(X3,X2,X4,X6)),distance(X4,X6)),
    c_0_7 ).

fof(c_0_30,plain,
    ! [X7,X1,X8,X2,X9,X3,X10,X6] :
      ( ~ equal_distance(distance(X3,X2),distance(X9,X8))
      | ~ equal_distance(distance(X2,X1),distance(X8,X7))
      | ~ equal_distance(distance(X3,X6),distance(X9,X10))
      | ~ equal_distance(distance(X2,X6),distance(X8,X10))
      | ~ between(X3,X2,X1)
      | ~ between(X9,X8,X7)
      | X3 = X2
      | equal_distance(distance(X1,X6),distance(X7,X10)) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_31,axiom,
    ! [X2,X3,X4,X6] : between(X3,X2,extension(X3,X2,X4,X6)),
    c_0_9 ).

fof(c_0_32,plain,
    ! [X1,X2,X3,X4,X6] :
      ( ~ equal_distance(distance(X3,X4),distance(X3,X6))
      | ~ equal_distance(distance(X2,X4),distance(X2,X6))
      | ~ equal_distance(distance(X1,X4),distance(X1,X6))
      | between(X3,X2,X1)
      | between(X2,X1,X3)
      | between(X1,X3,X2)
      | X4 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_33,plain,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ equal_distance(distance(X3,X2),distance(X1,X6))
      | ~ equal_distance(distance(X3,X2),distance(X5,X4))
      | equal_distance(distance(X1,X6),distance(X5,X4)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_34,plain,
    ! [X1,X2,X3] :
      ( ~ colinear(X3,X2,X1)
      | between(X3,X2,X1)
      | between(X2,X1,X3)
      | between(X1,X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_35,plain,
    ! [X1,X2,X3] :
      ( ~ between(X1,X3,X2)
      | colinear(X3,X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_36,plain,
    ! [X1,X2,X3] :
      ( ~ between(X2,X1,X3)
      | colinear(X3,X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_37,plain,
    ! [X1,X2,X3] :
      ( ~ between(X3,X2,X1)
      | colinear(X3,X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_38,plain,
    ! [X1,X2,X3] :
      ( ~ equal_distance(distance(X3,X2),distance(X1,X1))
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_39,plain,
    ! [X2,X3] :
      ( ~ between(X3,X2,X3)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_40,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_41,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_42,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_43,axiom,
    ! [X2,X3] : equal_distance(distance(X3,X2),distance(X2,X3)),
    c_0_21 ).

fof(c_0_44,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( ~ equal_distance(distance(X17,X16),distance(X17,X15))
      | ~ equal_distance(distance(X17,X13),distance(X17,X12))
      | ~ between(X17,X16,X13)
      | ~ between(X16,X14,X13)
      | equal_distance(distance(X17,X14),distance(X17,continuous(X17,X16,X15,X14,X13,X12))) ),
    inference(variable_rename,[status(thm)],[c_0_22]) ).

fof(c_0_45,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( ~ equal_distance(distance(X17,X16),distance(X17,X15))
      | ~ equal_distance(distance(X17,X13),distance(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_23]) ).

fof(c_0_46,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_24]) ).

fof(c_0_47,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_25]) ).

fof(c_0_48,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_26]) ).

fof(c_0_49,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_27]) ).

fof(c_0_50,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_28]) ).

fof(c_0_51,plain,
    ! [X7,X8,X9,X10] : equal_distance(distance(X7,extension(X8,X7,X9,X10)),distance(X9,X10)),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

fof(c_0_52,plain,
    ! [X11,X12,X13,X14,X15,X16,X17,X18] :
      ( ~ equal_distance(distance(X16,X14),distance(X15,X13))
      | ~ equal_distance(distance(X14,X12),distance(X13,X11))
      | ~ equal_distance(distance(X16,X18),distance(X15,X17))
      | ~ equal_distance(distance(X14,X18),distance(X13,X17))
      | ~ between(X16,X14,X12)
      | ~ between(X15,X13,X11)
      | X16 = X14
      | equal_distance(distance(X12,X18),distance(X11,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_30])])]) ).

fof(c_0_53,plain,
    ! [X7,X8,X9,X10] : between(X8,X7,extension(X8,X7,X9,X10)),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_54,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ equal_distance(distance(X9,X10),distance(X9,X11))
      | ~ equal_distance(distance(X8,X10),distance(X8,X11))
      | ~ equal_distance(distance(X7,X10),distance(X7,X11))
      | between(X9,X8,X7)
      | between(X8,X7,X9)
      | between(X7,X9,X8)
      | X10 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

fof(c_0_55,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ equal_distance(distance(X9,X8),distance(X7,X12))
      | ~ equal_distance(distance(X9,X8),distance(X11,X10))
      | equal_distance(distance(X7,X12),distance(X11,X10)) ),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_56,plain,
    ! [X4,X5,X6] :
      ( ~ colinear(X6,X5,X4)
      | between(X6,X5,X4)
      | between(X5,X4,X6)
      | between(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

fof(c_0_57,plain,
    ! [X4,X5,X6] :
      ( ~ between(X4,X6,X5)
      | colinear(X6,X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

fof(c_0_58,plain,
    ! [X4,X5,X6] :
      ( ~ between(X5,X4,X6)
      | colinear(X6,X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_36]) ).

fof(c_0_59,plain,
    ! [X4,X5,X6] :
      ( ~ between(X6,X5,X4)
      | colinear(X6,X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_37]) ).

fof(c_0_60,plain,
    ! [X4,X5,X6] :
      ( ~ equal_distance(distance(X6,X5),distance(X4,X4))
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_38]) ).

fof(c_0_61,plain,
    ! [X4,X5] :
      ( ~ between(X5,X4,X5)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_39]) ).

fof(c_0_62,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    c_0_40 ).

fof(c_0_63,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    c_0_41 ).

fof(c_0_64,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_42 ).

fof(c_0_65,plain,
    ! [X4,X5] : equal_distance(distance(X5,X4),distance(X4,X5)),
    inference(variable_rename,[status(thm)],[c_0_43]) ).

cnf(c_0_66,plain,
    ( equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6)))
    | ~ between(X3,X2,X5)
    | ~ between(X1,X3,X5)
    | ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ equal_distance(distance(X1,X3),distance(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_67,plain,
    ( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ between(X3,X4,X5)
    | ~ between(X2,X3,X5)
    | ~ equal_distance(distance(X2,X5),distance(X2,X6))
    | ~ equal_distance(distance(X2,X3),distance(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_68,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_46]) ).

cnf(c_0_69,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_47]) ).

cnf(c_0_70,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_48]) ).

cnf(c_0_71,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_49]) ).

cnf(c_0_72,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_50]) ).

cnf(c_0_73,plain,
    equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_74,plain,
    ( equal_distance(distance(X1,X2),distance(X3,X4))
    | X5 = X6
    | ~ between(X7,X8,X3)
    | ~ between(X5,X6,X1)
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_75,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_76,plain,
    ( X1 = X2
    | between(X3,X4,X5)
    | between(X5,X3,X4)
    | between(X4,X5,X3)
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_77,plain,
    ( equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_78,plain,
    ( between(X1,X2,X3)
    | between(X3,X1,X2)
    | between(X2,X3,X1)
    | ~ colinear(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_79,plain,
    ( colinear(X1,X2,X3)
    | ~ between(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_80,plain,
    ( colinear(X1,X2,X3)
    | ~ between(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_81,plain,
    ( colinear(X1,X2,X3)
    | ~ between(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_82,plain,
    ( X1 = X2
    | ~ equal_distance(distance(X1,X2),distance(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_83,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_84,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_85,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_86,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_87,plain,
    equal_distance(distance(X1,X2),distance(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_88,plain,
    ( equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6)))
    | ~ between(X3,X2,X5)
    | ~ between(X1,X3,X5)
    | ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ equal_distance(distance(X1,X3),distance(X1,X4)) ),
    c_0_66,
    [final] ).

cnf(c_0_89,plain,
    ( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ between(X3,X4,X5)
    | ~ between(X2,X3,X5)
    | ~ equal_distance(distance(X2,X5),distance(X2,X6))
    | ~ equal_distance(distance(X2,X3),distance(X2,X1)) ),
    c_0_67,
    [final] ).

cnf(c_0_90,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_68,
    [final] ).

cnf(c_0_91,plain,
    ( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
    | X1 = X4
    | ~ between(X3,X4,X2)
    | ~ between(X1,X4,X5) ),
    c_0_69,
    [final] ).

cnf(c_0_92,plain,
    ( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
    | X1 = X3
    | ~ between(X2,X3,X4)
    | ~ between(X1,X3,X5) ),
    c_0_70,
    [final] ).

cnf(c_0_93,plain,
    ( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
    | ~ between(X5,X1,X4)
    | ~ between(X2,X3,X4) ),
    c_0_71,
    [final] ).

cnf(c_0_94,plain,
    ( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
    | ~ between(X5,X4,X3)
    | ~ between(X2,X1,X3) ),
    c_0_72,
    [final] ).

cnf(c_0_95,plain,
    equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
    c_0_73,
    [final] ).

cnf(c_0_96,plain,
    ( equal_distance(distance(X1,X2),distance(X3,X4))
    | X5 = X6
    | ~ between(X7,X8,X3)
    | ~ between(X5,X6,X1)
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    c_0_74,
    [final] ).

cnf(c_0_97,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    c_0_75,
    [final] ).

cnf(c_0_98,plain,
    ( X1 = X2
    | between(X3,X4,X5)
    | between(X5,X3,X4)
    | between(X4,X5,X3)
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    c_0_76,
    [final] ).

cnf(c_0_99,plain,
    ( equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X1,X2)) ),
    c_0_77,
    [final] ).

cnf(c_0_100,plain,
    ( between(X1,X2,X3)
    | between(X3,X1,X2)
    | between(X2,X3,X1)
    | ~ colinear(X2,X3,X1) ),
    c_0_78,
    [final] ).

cnf(c_0_101,plain,
    ( colinear(X1,X2,X3)
    | ~ between(X3,X1,X2) ),
    c_0_79,
    [final] ).

cnf(c_0_102,plain,
    ( colinear(X1,X2,X3)
    | ~ between(X2,X3,X1) ),
    c_0_80,
    [final] ).

cnf(c_0_103,plain,
    ( colinear(X1,X2,X3)
    | ~ between(X1,X2,X3) ),
    c_0_81,
    [final] ).

cnf(c_0_104,plain,
    ( X1 = X2
    | ~ equal_distance(distance(X1,X2),distance(X3,X3)) ),
    c_0_82,
    [final] ).

cnf(c_0_105,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    c_0_83,
    [final] ).

cnf(c_0_106,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    c_0_84,
    [final] ).

cnf(c_0_107,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    c_0_85,
    [final] ).

cnf(c_0_108,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_86,
    [final] ).

cnf(c_0_109,plain,
    equal_distance(distance(X1,X2),distance(X2,X1)),
    c_0_87,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_88_0,axiom,
    ( equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6)))
    | ~ between(X3,X2,X5)
    | ~ between(X1,X3,X5)
    | ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ equal_distance(distance(X1,X3),distance(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_1,axiom,
    ( ~ between(X3,X2,X5)
    | equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6)))
    | ~ between(X1,X3,X5)
    | ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ equal_distance(distance(X1,X3),distance(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_2,axiom,
    ( ~ between(X1,X3,X5)
    | ~ between(X3,X2,X5)
    | equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6)))
    | ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ equal_distance(distance(X1,X3),distance(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_3,axiom,
    ( ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ between(X1,X3,X5)
    | ~ between(X3,X2,X5)
    | equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6)))
    | ~ equal_distance(distance(X1,X3),distance(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_4,axiom,
    ( ~ equal_distance(distance(X1,X3),distance(X1,X4))
    | ~ equal_distance(distance(X1,X5),distance(X1,X6))
    | ~ between(X1,X3,X5)
    | ~ between(X3,X2,X5)
    | equal_distance(distance(X1,X2),distance(X1,continuous(X1,X3,X4,X2,X5,X6))) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_89_0,axiom,
    ( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ between(X3,X4,X5)
    | ~ between(X2,X3,X5)
    | ~ equal_distance(distance(X2,X5),distance(X2,X6))
    | ~ equal_distance(distance(X2,X3),distance(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_1,axiom,
    ( ~ between(X3,X4,X5)
    | between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ between(X2,X3,X5)
    | ~ equal_distance(distance(X2,X5),distance(X2,X6))
    | ~ equal_distance(distance(X2,X3),distance(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_2,axiom,
    ( ~ between(X2,X3,X5)
    | ~ between(X3,X4,X5)
    | between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ equal_distance(distance(X2,X5),distance(X2,X6))
    | ~ equal_distance(distance(X2,X3),distance(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_3,axiom,
    ( ~ equal_distance(distance(X2,X5),distance(X2,X6))
    | ~ between(X2,X3,X5)
    | ~ between(X3,X4,X5)
    | between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ equal_distance(distance(X2,X3),distance(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_4,axiom,
    ( ~ equal_distance(distance(X2,X3),distance(X2,X1))
    | ~ equal_distance(distance(X2,X5),distance(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_89]) ).

cnf(c_0_90_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_90]) ).

cnf(c_0_90_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_90]) ).

cnf(c_0_90_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_90]) ).

cnf(c_0_90_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_90]) ).

cnf(c_0_91_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_91]) ).

cnf(c_0_91_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_91]) ).

cnf(c_0_91_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_91]) ).

cnf(c_0_91_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_91]) ).

cnf(c_0_92_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_92]) ).

cnf(c_0_92_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_92]) ).

cnf(c_0_92_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_92]) ).

cnf(c_0_92_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_92]) ).

cnf(c_0_93_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_93]) ).

cnf(c_0_93_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_93]) ).

cnf(c_0_93_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_93]) ).

cnf(c_0_94_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_94]) ).

cnf(c_0_94_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_94]) ).

cnf(c_0_94_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_94]) ).

cnf(c_0_96_0,axiom,
    ( equal_distance(distance(X1,X2),distance(X3,X4))
    | X5 = X6
    | ~ between(X7,X8,X3)
    | ~ between(X5,X6,X1)
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_1,axiom,
    ( X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ between(X7,X8,X3)
    | ~ between(X5,X6,X1)
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_2,axiom,
    ( ~ between(X7,X8,X3)
    | X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ between(X5,X6,X1)
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_3,axiom,
    ( ~ between(X5,X6,X1)
    | ~ between(X7,X8,X3)
    | X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_4,axiom,
    ( ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ between(X5,X6,X1)
    | ~ between(X7,X8,X3)
    | X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_5,axiom,
    ( ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ between(X5,X6,X1)
    | ~ between(X7,X8,X3)
    | X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_6,axiom,
    ( ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ between(X5,X6,X1)
    | ~ between(X7,X8,X3)
    | X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X7,X8)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_7,axiom,
    ( ~ equal_distance(distance(X5,X6),distance(X7,X8))
    | ~ equal_distance(distance(X6,X1),distance(X8,X3))
    | ~ equal_distance(distance(X5,X2),distance(X7,X4))
    | ~ equal_distance(distance(X6,X2),distance(X8,X4))
    | ~ between(X5,X6,X1)
    | ~ between(X7,X8,X3)
    | X5 = X6
    | equal_distance(distance(X1,X2),distance(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_98_0,axiom,
    ( X1 = X2
    | between(X3,X4,X5)
    | between(X5,X3,X4)
    | between(X4,X5,X3)
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_1,axiom,
    ( between(X3,X4,X5)
    | X1 = X2
    | between(X5,X3,X4)
    | between(X4,X5,X3)
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_2,axiom,
    ( between(X5,X3,X4)
    | between(X3,X4,X5)
    | X1 = X2
    | between(X4,X5,X3)
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_3,axiom,
    ( between(X4,X5,X3)
    | between(X5,X3,X4)
    | between(X3,X4,X5)
    | X1 = X2
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_4,axiom,
    ( ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | between(X4,X5,X3)
    | between(X5,X3,X4)
    | between(X3,X4,X5)
    | X1 = X2
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_5,axiom,
    ( ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | between(X4,X5,X3)
    | between(X5,X3,X4)
    | between(X3,X4,X5)
    | X1 = X2
    | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_6,axiom,
    ( ~ equal_distance(distance(X4,X1),distance(X4,X2))
    | ~ equal_distance(distance(X5,X1),distance(X5,X2))
    | ~ equal_distance(distance(X3,X1),distance(X3,X2))
    | between(X4,X5,X3)
    | between(X5,X3,X4)
    | between(X3,X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_99_0,axiom,
    ( equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_1,axiom,
    ( ~ equal_distance(distance(X5,X6),distance(X3,X4))
    | equal_distance(distance(X1,X2),distance(X3,X4))
    | ~ equal_distance(distance(X5,X6),distance(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_2,axiom,
    ( ~ equal_distance(distance(X5,X6),distance(X1,X2))
    | ~ equal_distance(distance(X5,X6),distance(X3,X4))
    | equal_distance(distance(X1,X2),distance(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_100_0,axiom,
    ( between(X1,X2,X3)
    | between(X3,X1,X2)
    | between(X2,X3,X1)
    | ~ colinear(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_1,axiom,
    ( between(X3,X1,X2)
    | between(X1,X2,X3)
    | between(X2,X3,X1)
    | ~ colinear(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_2,axiom,
    ( between(X2,X3,X1)
    | between(X3,X1,X2)
    | between(X1,X2,X3)
    | ~ colinear(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_3,axiom,
    ( ~ colinear(X2,X3,X1)
    | between(X2,X3,X1)
    | between(X3,X1,X2)
    | between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_101_0,axiom,
    ( colinear(X1,X2,X3)
    | ~ between(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_1,axiom,
    ( ~ between(X3,X1,X2)
    | colinear(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_102_0,axiom,
    ( colinear(X1,X2,X3)
    | ~ between(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_1,axiom,
    ( ~ between(X2,X3,X1)
    | colinear(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_103_0,axiom,
    ( colinear(X1,X2,X3)
    | ~ between(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_103_1,axiom,
    ( ~ between(X1,X2,X3)
    | colinear(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_104_0,axiom,
    ( X1 = X2
    | ~ equal_distance(distance(X1,X2),distance(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_1,axiom,
    ( ~ equal_distance(distance(X1,X2),distance(X3,X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_105_0,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_1,axiom,
    ( ~ between(X1,X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_106_0,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_107_0,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_108_0,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_95_0,axiom,
    equal_distance(distance(X1,extension(X2,X1,X3,X4)),distance(X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_97_0,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_109_0,axiom,
    equal_distance(distance(X1,X2),distance(X2,X1)),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('<stdin>',prove_lower_dimension_points_not_colinear) ).

fof(c_0_1_002,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_0 ).

fof(c_0_2_003,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_1 ).

cnf(c_0_3_004,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    c_0_3,
    [final] ).

% End CNF derivation

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

cnf(c_66,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p',c_0_4) ).

cnf(c_81,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_85,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_86,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(copy,[status(esa)],[c_85]) ).

cnf(c_87,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_287,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_16,plain,
    ( between(X0,X1,X2)
    | between(X2,X0,X1)
    | between(X1,X2,X0)
    | ~ colinear(X1,X2,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p',c_0_100_3) ).

cnf(c_187,plain,
    ( between(X0,X1,X2)
    | between(X2,X0,X1)
    | between(X1,X2,X0)
    | ~ colinear(X1,X2,X0) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_291,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
    | between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolution,[status(thm)],[c_287,c_187]) ).

cnf(c_292,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
    | between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(rewriting,[status(thm)],[c_291]) ).

cnf(c_5,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p',c_0_106_0) ).

cnf(c_165,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_4,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p',c_0_107_0) ).

cnf(c_163,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_3,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p',c_0_108_0) ).

cnf(c_161,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_296,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_292,c_165,c_163,c_161]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 15:29:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.13/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40  % Orientation found
% 0.13/0.40  % 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/sandbox2/tmp/iprover_proof_a2f194.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a296f2 | 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
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_a2f194.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  % ------ Parsing...% successful
% 0.20/0.44  
% 0.20/0.44  % ------ 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 % 
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % ------ Problem Properties 
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % EPR                                   false
% 0.20/0.44  % Horn                                  false
% 0.20/0.44  % Has equality                          true
% 0.20/0.44  
% 0.20/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % % ------ Current options:
% 0.20/0.44  
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_a2f194.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % warning:  shown sat in sat incomplete mode 
% 0.20/0.44  % 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  cnf(c_47,plain,
% 0.20/0.44      ( ~ colinear(X0,X1,X2)
% 0.20/0.44      | between(X0,X1,X2)
% 0.20/0.44      | between(X2,X0,X1)
% 0.20/0.44      | between(X1,X2,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_74_1) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_245,plain,
% 0.20/0.44      ( ~ colinear(X0,X1,X2)
% 0.20/0.44      | between(X0,X1,X2)
% 0.20/0.44      | between(X2,X0,X1)
% 0.20/0.44      | between(X1,X2,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_246,plain,
% 0.20/0.44      ( between(X0,X1,X2)
% 0.20/0.44      | between(X2,X0,X1)
% 0.20/0.44      | between(X1,X2,X0)
% 0.20/0.44      | ~ colinear(X0,X1,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_245]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_46,plain,
% 0.20/0.44      ( ~ colinear(X0,X1,X2)
% 0.20/0.44      | between(X0,X1,X2)
% 0.20/0.44      | between(X1,X2,X0)
% 0.20/0.44      | between(X2,X0,X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_74_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_243,plain,
% 0.20/0.44      ( ~ colinear(X0,X1,X2)
% 0.20/0.44      | between(X0,X1,X2)
% 0.20/0.44      | between(X1,X2,X0)
% 0.20/0.44      | between(X2,X0,X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_46]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_244,plain,
% 0.20/0.44      ( between(X0,X1,X2)
% 0.20/0.44      | between(X1,X2,X0)
% 0.20/0.44      | between(X2,X0,X1)
% 0.20/0.44      | ~ colinear(X0,X1,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_243]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_42,plain,
% 0.20/0.44      ( X0 = X1
% 0.20/0.44      | between(X2,X3,X4)
% 0.20/0.44      | between(X4,X2,X3)
% 0.20/0.44      | between(X3,X4,X2)
% 0.20/0.44      | ~ equal_distance(distance(X2,X0),distance(X2,X1))
% 0.20/0.44      | ~ equal_distance(distance(X4,X0),distance(X4,X1))
% 0.20/0.44      | ~ equal_distance(distance(X3,X0),distance(X3,X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_72_6) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_235,plain,
% 0.20/0.44      ( X0 = X1
% 0.20/0.44      | between(X2,X3,X4)
% 0.20/0.44      | between(X4,X2,X3)
% 0.20/0.44      | between(X3,X4,X2)
% 0.20/0.44      | ~ equal_distance(distance(X2,X0),distance(X2,X1))
% 0.20/0.44      | ~ equal_distance(distance(X4,X0),distance(X4,X1))
% 0.20/0.44      | ~ equal_distance(distance(X3,X0),distance(X3,X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_42]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_236,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | between(X0,X4,X3)
% 0.20/0.44      | between(X3,X0,X4)
% 0.20/0.44      | between(X4,X3,X0)
% 0.20/0.44      | X1 = X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_235]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_41,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | X1 = X2
% 0.20/0.44      | between(X3,X0,X4)
% 0.20/0.44      | between(X4,X3,X0)
% 0.20/0.44      | between(X0,X4,X3)
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_72_5) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_233,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | X1 = X2
% 0.20/0.44      | between(X3,X0,X4)
% 0.20/0.44      | between(X4,X3,X0)
% 0.20/0.44      | between(X0,X4,X3)
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_41]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_234,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | between(X3,X0,X4)
% 0.20/0.44      | between(X4,X3,X0)
% 0.20/0.44      | between(X0,X4,X3)
% 0.20/0.44      | X1 = X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_233]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_39,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | X1 = X2
% 0.20/0.44      | between(X4,X0,X3)
% 0.20/0.44      | between(X3,X4,X0)
% 0.20/0.44      | between(X0,X3,X4) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_72_3) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_229,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | X1 = X2
% 0.20/0.44      | between(X4,X0,X3)
% 0.20/0.44      | between(X3,X4,X0)
% 0.20/0.44      | between(X0,X3,X4) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_39]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_230,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | between(X4,X0,X3)
% 0.20/0.44      | between(X3,X4,X0)
% 0.20/0.44      | between(X0,X3,X4)
% 0.20/0.44      | X1 = X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_229]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_38,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | between(X0,X3,X4)
% 0.20/0.44      | X1 = X2
% 0.20/0.44      | between(X4,X0,X3)
% 0.20/0.44      | between(X3,X4,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_72_2) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_227,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | between(X0,X3,X4)
% 0.20/0.44      | X1 = X2
% 0.20/0.44      | between(X4,X0,X3)
% 0.20/0.44      | between(X3,X4,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_228,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.44      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.44      | between(X0,X3,X4)
% 0.20/0.44      | between(X4,X0,X3)
% 0.20/0.44      | between(X3,X4,X0)
% 0.20/0.44      | X1 = X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_227]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_35,plain,
% 0.20/0.44      ( equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | X4 = X5
% 0.20/0.44      | ~ between(X6,X7,X2)
% 0.20/0.44      | ~ between(X4,X5,X0)
% 0.20/0.44      | ~ equal_distance(distance(X5,X1),distance(X7,X3))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X6,X3))
% 0.20/0.44      | ~ equal_distance(distance(X5,X0),distance(X7,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X5),distance(X6,X7)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_71_7) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_221,plain,
% 0.20/0.44      ( equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | X4 = X5
% 0.20/0.44      | ~ between(X6,X7,X2)
% 0.20/0.44      | ~ between(X4,X5,X0)
% 0.20/0.44      | ~ equal_distance(distance(X5,X1),distance(X7,X3))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X6,X3))
% 0.20/0.44      | ~ equal_distance(distance(X5,X0),distance(X7,X2))
% 0.20/0.44      | ~ equal_distance(distance(X4,X5),distance(X6,X7)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_222,plain,
% 0.20/0.44      ( equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X4,X1),distance(X5,X3))
% 0.20/0.44      | ~ equal_distance(distance(X6,X1),distance(X7,X3))
% 0.20/0.44      | ~ equal_distance(distance(X4,X0),distance(X5,X2))
% 0.20/0.44      | ~ equal_distance(distance(X6,X4),distance(X7,X5))
% 0.20/0.44      | ~ between(X7,X5,X2)
% 0.20/0.44      | ~ between(X6,X4,X0)
% 0.20/0.44      | X6 = X4 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_221]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_34,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | equal_distance(distance(X4,X5),distance(X6,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X6)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ equal_distance(distance(X1,X5),distance(X3,X7))
% 0.20/0.44      | ~ equal_distance(distance(X0,X5),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X6)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_71_6) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_219,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | equal_distance(distance(X4,X5),distance(X6,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X6)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ equal_distance(distance(X1,X5),distance(X3,X7))
% 0.20/0.44      | ~ equal_distance(distance(X0,X5),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X6)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_220,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | equal_distance(distance(X4,X5),distance(X6,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X5),distance(X3,X7))
% 0.20/0.44      | ~ equal_distance(distance(X0,X5),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X6))
% 0.20/0.44      | ~ between(X2,X3,X6)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | X0 = X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_219]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_33,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_71_5) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_217,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_33]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_218,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | X0 = X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_217]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_32,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_71_4) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_215,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_216,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | X0 = X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_215]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_31,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_71_3) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_213,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_214,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | X0 = X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_213]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_28,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_71_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_207,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_208,plain,
% 0.20/0.44      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.44      | ~ equal_distance(distance(X1,X4),distance(X3,X5))
% 0.20/0.44      | ~ equal_distance(distance(X0,X6),distance(X2,X7))
% 0.20/0.44      | ~ equal_distance(distance(X1,X6),distance(X3,X7))
% 0.20/0.44      | equal_distance(distance(X4,X6),distance(X5,X7))
% 0.20/0.44      | ~ between(X0,X1,X4)
% 0.20/0.44      | ~ between(X2,X3,X5)
% 0.20/0.44      | X0 = X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_207]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_25,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X4,X2)
% 0.20/0.44      | between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_70_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_201,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X4,X2)
% 0.20/0.44      | between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_25]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_202,plain,
% 0.20/0.44      ( between(X0,inner_pasch(X1,X2,X3,X0,X4),X1)
% 0.20/0.44      | ~ between(X1,X2,X3)
% 0.20/0.44      | ~ between(X4,X0,X3) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_201]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_22,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X4,X2)
% 0.20/0.44      | between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_69_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_195,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X4,X2)
% 0.20/0.44      | between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_196,plain,
% 0.20/0.44      ( between(X0,inner_pasch(X1,X0,X2,X3,X4),X4)
% 0.20/0.44      | ~ between(X1,X0,X2)
% 0.20/0.44      | ~ between(X4,X3,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_195]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_21,plain,
% 0.20/0.44      ( between(X0,X1,euclid2(X0,X2,X3,X1,X4))
% 0.20/0.44      | X0 = X3
% 0.20/0.44      | ~ between(X2,X3,X1)
% 0.20/0.44      | ~ between(X0,X3,X4) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_68_3) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_193,plain,
% 0.20/0.44      ( between(X0,X1,euclid2(X0,X2,X3,X1,X4))
% 0.20/0.44      | X0 = X3
% 0.20/0.44      | ~ between(X2,X3,X1)
% 0.20/0.44      | ~ between(X0,X3,X4) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_194,plain,
% 0.20/0.44      ( between(X0,X1,euclid2(X0,X2,X3,X1,X4))
% 0.20/0.44      | ~ between(X2,X3,X1)
% 0.20/0.44      | ~ between(X0,X3,X4)
% 0.20/0.44      | X0 = X3 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_193]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_18,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X1,X4)
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | between(X0,X4,euclid2(X0,X3,X1,X4,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_68_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_187,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X1,X4)
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | between(X0,X4,euclid2(X0,X3,X1,X4,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_188,plain,
% 0.20/0.44      ( between(X0,X1,euclid2(X0,X2,X3,X1,X4))
% 0.20/0.44      | ~ between(X0,X3,X4)
% 0.20/0.44      | ~ between(X2,X3,X1)
% 0.20/0.44      | X0 = X3 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_187]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_17,plain,
% 0.20/0.44      ( between(X0,X1,euclid1(X0,X1,X2,X3,X4))
% 0.20/0.44      | X0 = X2
% 0.20/0.44      | ~ between(X1,X2,X3)
% 0.20/0.44      | ~ between(X0,X2,X4) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_67_3) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_185,plain,
% 0.20/0.44      ( between(X0,X1,euclid1(X0,X1,X2,X3,X4))
% 0.20/0.44      | X0 = X2
% 0.20/0.44      | ~ between(X1,X2,X3)
% 0.20/0.44      | ~ between(X0,X2,X4) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_186,plain,
% 0.20/0.44      ( between(X0,X1,euclid1(X0,X1,X2,X3,X4))
% 0.20/0.44      | ~ between(X1,X2,X3)
% 0.20/0.44      | ~ between(X0,X2,X4)
% 0.20/0.44      | X0 = X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_185]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_14,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X1,X4)
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | between(X0,X3,euclid1(X0,X3,X1,X4,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_67_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_179,plain,
% 0.20/0.44      ( ~ between(X0,X1,X2)
% 0.20/0.44      | ~ between(X3,X1,X4)
% 0.20/0.44      | X0 = X1
% 0.20/0.44      | between(X0,X3,euclid1(X0,X3,X1,X4,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_180,plain,
% 0.20/0.44      ( between(X0,X1,euclid1(X0,X1,X2,X3,X4))
% 0.20/0.45      | ~ between(X0,X2,X4)
% 0.20/0.45      | ~ between(X1,X2,X3)
% 0.20/0.45      | X0 = X2 ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_179]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_13,plain,
% 0.20/0.45      ( between(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4))
% 0.20/0.45      | X0 = X2
% 0.20/0.45      | ~ between(X1,X2,X3)
% 0.20/0.45      | ~ between(X0,X2,X4) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_66_3) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_177,plain,
% 0.20/0.45      ( between(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4))
% 0.20/0.45      | X0 = X2
% 0.20/0.45      | ~ between(X1,X2,X3)
% 0.20/0.45      | ~ between(X0,X2,X4) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_178,plain,
% 0.20/0.45      ( between(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4))
% 0.20/0.45      | ~ between(X1,X2,X3)
% 0.20/0.45      | ~ between(X0,X2,X4)
% 0.20/0.45      | X0 = X2 ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_177]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_10,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2)
% 0.20/0.45      | ~ between(X3,X1,X4)
% 0.20/0.45      | X0 = X1
% 0.20/0.45      | between(euclid1(X0,X3,X1,X4,X2),X2,euclid2(X0,X3,X1,X4,X2)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_66_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_171,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2)
% 0.20/0.45      | ~ between(X3,X1,X4)
% 0.20/0.45      | X0 = X1
% 0.20/0.45      | between(euclid1(X0,X3,X1,X4,X2),X2,euclid2(X0,X3,X1,X4,X2)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_172,plain,
% 0.20/0.45      ( between(euclid1(X0,X1,X2,X3,X4),X4,euclid2(X0,X1,X2,X3,X4))
% 0.20/0.45      | ~ between(X0,X2,X4)
% 0.20/0.45      | ~ between(X1,X2,X3)
% 0.20/0.45      | X0 = X2 ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_171]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_9,plain,
% 0.20/0.45      ( between(X0,continuous(X1,X2,X0,X3,X4,X5),X5)
% 0.20/0.45      | ~ between(X2,X3,X4)
% 0.20/0.45      | ~ between(X1,X2,X4)
% 0.20/0.45      | ~ equal_distance(distance(X1,X4),distance(X1,X5))
% 0.20/0.45      | ~ equal_distance(distance(X1,X2),distance(X1,X0)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_65_4) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_169,plain,
% 0.20/0.45      ( between(X0,continuous(X1,X2,X0,X3,X4,X5),X5)
% 0.20/0.45      | ~ between(X2,X3,X4)
% 0.20/0.45      | ~ between(X1,X2,X4)
% 0.20/0.45      | ~ equal_distance(distance(X1,X4),distance(X1,X5))
% 0.20/0.45      | ~ equal_distance(distance(X1,X2),distance(X1,X0)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_170,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | between(X4,continuous(X0,X3,X4,X5,X1,X2),X2)
% 0.20/0.45      | ~ between(X3,X5,X1)
% 0.20/0.45      | ~ between(X0,X3,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_169]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_5,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | ~ between(X0,X1,X3)
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | between(X2,continuous(X0,X1,X2,X5,X3,X4),X4) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_65_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_161,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | ~ between(X0,X1,X3)
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | between(X2,continuous(X0,X1,X2,X5,X3,X4),X4) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_162,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | between(X2,continuous(X0,X1,X2,X5,X3,X4),X4)
% 0.20/0.45      | ~ between(X0,X1,X3)
% 0.20/0.45      | ~ between(X1,X5,X3) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_161]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_4,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X0,continuous(X0,X2,X3,X1,X4,X5)))
% 0.20/0.45      | ~ between(X2,X1,X4)
% 0.20/0.45      | ~ between(X0,X2,X4)
% 0.20/0.45      | ~ equal_distance(distance(X0,X4),distance(X0,X5))
% 0.20/0.45      | ~ equal_distance(distance(X0,X2),distance(X0,X3)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_64_4) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_159,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X0,continuous(X0,X2,X3,X1,X4,X5)))
% 0.20/0.45      | ~ between(X2,X1,X4)
% 0.20/0.45      | ~ between(X0,X2,X4)
% 0.20/0.45      | ~ equal_distance(distance(X0,X4),distance(X0,X5))
% 0.20/0.45      | ~ equal_distance(distance(X0,X2),distance(X0,X3)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_160,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X0,continuous(X0,X2,X3,X1,X4,X5)))
% 0.20/0.45      | ~ equal_distance(distance(X0,X4),distance(X0,X5))
% 0.20/0.45      | ~ equal_distance(distance(X0,X2),distance(X0,X3))
% 0.20/0.45      | ~ between(X2,X1,X4)
% 0.20/0.45      | ~ between(X0,X2,X4) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_159]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_2,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | equal_distance(distance(X0,X5),distance(X0,continuous(X0,X1,X2,X5,X3,X4)))
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | ~ between(X0,X1,X3) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_64_2) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_155,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | equal_distance(distance(X0,X5),distance(X0,continuous(X0,X1,X2,X5,X3,X4)))
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | ~ between(X0,X1,X3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_156,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X0,continuous(X0,X2,X3,X1,X4,X5)))
% 0.20/0.45      | ~ equal_distance(distance(X0,X2),distance(X0,X3))
% 0.20/0.45      | ~ equal_distance(distance(X0,X4),distance(X0,X5))
% 0.20/0.45      | ~ between(X2,X1,X4)
% 0.20/0.45      | ~ between(X0,X2,X4) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_155]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_0,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | ~ between(X0,X1,X3)
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | equal_distance(distance(X0,X5),distance(X0,continuous(X0,X1,X2,X5,X3,X4))) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_64_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_151,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | ~ between(X0,X1,X3)
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | equal_distance(distance(X0,X5),distance(X0,continuous(X0,X1,X2,X5,X3,X4))) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_152,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X0,continuous(X0,X2,X3,X1,X4,X5)))
% 0.20/0.45      | ~ equal_distance(distance(X0,X2),distance(X0,X3))
% 0.20/0.45      | ~ equal_distance(distance(X0,X4),distance(X0,X5))
% 0.20/0.45      | ~ between(X0,X2,X4)
% 0.20/0.45      | ~ between(X2,X1,X4) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_151]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_66,negated_conjecture,
% 0.20/0.45      ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_4) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_77,negated_conjecture,
% 0.20/0.45      ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_81,negated_conjecture,
% 0.20/0.45      ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_77]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_82,negated_conjecture,
% 0.20/0.45      ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_81]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_83,negated_conjecture,
% 0.20/0.45      ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_82]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_283,negated_conjecture,
% 0.20/0.45      ( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_83]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_65,plain,
% 0.20/0.45      ( equal_distance(distance(X0,extension(X1,X0,X2,X3)),distance(X2,X3)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_24_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_281,plain,
% 0.20/0.45      ( equal_distance(distance(X0,extension(X1,X0,X2,X3)),distance(X2,X3)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_65]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_64,plain,
% 0.20/0.45      ( between(X0,X1,extension(X0,X1,X2,X3)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_25_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_279,plain,
% 0.20/0.45      ( between(X0,X1,extension(X0,X1,X2,X3)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_63,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X1,X0)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_26_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_277,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X1,X0)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_62,plain,
% 0.20/0.45      ( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_27_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_275,plain,
% 0.20/0.45      ( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_61,plain,
% 0.20/0.45      ( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_28_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_273,plain,
% 0.20/0.45      ( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_60,plain,
% 0.20/0.45      ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_29_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_271,plain,
% 0.20/0.45      ( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_58,plain,
% 0.20/0.45      ( ~ between(X0,X1,X0) | X0 = X1 ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_79_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_267,plain,
% 0.20/0.45      ( ~ between(X0,X1,X0) | X0 = X1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_56,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X2,X2)) | X0 = X1 ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_78_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_263,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X2,X2)) | X0 = X1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_54,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2) | colinear(X1,X2,X0) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_77_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_259,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2) | colinear(X1,X2,X0) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_54]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_52,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2) | colinear(X2,X0,X1) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_76_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_255,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2) | colinear(X2,X0,X1) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_50,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2) | colinear(X0,X1,X2) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_75_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_251,plain,
% 0.20/0.45      ( ~ between(X0,X1,X2) | colinear(X0,X1,X2) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_50]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_48,plain,
% 0.20/0.45      ( ~ colinear(X0,X1,X2)
% 0.20/0.45      | between(X2,X0,X1)
% 0.20/0.45      | between(X1,X2,X0)
% 0.20/0.45      | between(X0,X1,X2) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_74_2) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_247,plain,
% 0.20/0.45      ( ~ colinear(X0,X1,X2)
% 0.20/0.45      | between(X2,X0,X1)
% 0.20/0.45      | between(X1,X2,X0)
% 0.20/0.45      | between(X0,X1,X2) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_248,plain,
% 0.20/0.45      ( between(X0,X1,X2)
% 0.20/0.45      | between(X2,X0,X1)
% 0.20/0.45      | between(X1,X2,X0)
% 0.20/0.45      | ~ colinear(X1,X2,X0) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_247]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_45,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.45      | ~ equal_distance(distance(X4,X5),distance(X2,X3))
% 0.20/0.45      | ~ equal_distance(distance(X4,X5),distance(X0,X1)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_73_2) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_241,plain,
% 0.20/0.45      ( equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.45      | ~ equal_distance(distance(X4,X5),distance(X2,X3))
% 0.20/0.45      | ~ equal_distance(distance(X4,X5),distance(X0,X1)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_45]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_44,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.45      | equal_distance(distance(X2,X3),distance(X4,X5))
% 0.20/0.45      | ~ equal_distance(distance(X0,X1),distance(X4,X5)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_73_1) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_239,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.45      | equal_distance(distance(X2,X3),distance(X4,X5))
% 0.20/0.45      | ~ equal_distance(distance(X0,X1),distance(X4,X5)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_44]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_43,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.45      | ~ equal_distance(distance(X0,X1),distance(X4,X5))
% 0.20/0.45      | equal_distance(distance(X2,X3),distance(X4,X5)) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_73_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_237,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X2,X3))
% 0.20/0.45      | ~ equal_distance(distance(X0,X1),distance(X4,X5))
% 0.20/0.45      | equal_distance(distance(X2,X3),distance(X4,X5)) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_36,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.45      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.45      | between(X0,X3,X4)
% 0.20/0.45      | between(X3,X4,X0)
% 0.20/0.45      | between(X4,X0,X3)
% 0.20/0.45      | X1 = X2 ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_72_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_223,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X3,X1),distance(X3,X2))
% 0.20/0.45      | ~ equal_distance(distance(X4,X1),distance(X4,X2))
% 0.20/0.45      | between(X0,X3,X4)
% 0.20/0.45      | between(X3,X4,X0)
% 0.20/0.45      | between(X4,X0,X3)
% 0.20/0.45      | X1 = X2 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_27,plain,
% 0.20/0.45      ( between(X0,inner_pasch(X1,X2,X3,X0,X4),X1)
% 0.20/0.45      | ~ between(X4,X0,X3)
% 0.20/0.45      | ~ between(X1,X2,X3) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_70_2) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_205,plain,
% 0.20/0.45      ( between(X0,inner_pasch(X1,X2,X3,X0,X4),X1)
% 0.20/0.45      | ~ between(X4,X0,X3)
% 0.20/0.45      | ~ between(X1,X2,X3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_24,plain,
% 0.20/0.45      ( between(X0,inner_pasch(X1,X0,X2,X3,X4),X4)
% 0.20/0.45      | ~ between(X4,X3,X2)
% 0.20/0.45      | ~ between(X1,X0,X2) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_69_2) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_199,plain,
% 0.20/0.45      ( between(X0,inner_pasch(X1,X0,X2,X3,X4),X4)
% 0.20/0.45      | ~ between(X4,X3,X2)
% 0.20/0.45      | ~ between(X1,X0,X2) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_7,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | between(X2,continuous(X0,X1,X2,X5,X3,X4),X4)
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | ~ between(X0,X1,X3) ),
% 0.20/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p', c_0_65_2) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_165,plain,
% 0.20/0.45      ( ~ equal_distance(distance(X0,X1),distance(X0,X2))
% 0.20/0.45      | ~ equal_distance(distance(X0,X3),distance(X0,X4))
% 0.20/0.45      | between(X2,continuous(X0,X1,X2,X5,X3,X4),X4)
% 0.20/0.45      | ~ between(X1,X5,X3)
% 0.20/0.45      | ~ between(X0,X1,X3) ),
% 0.20/0.45      inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % ------                             Statistics
% 0.20/0.45  
% 0.20/0.45  % ------ General
% 0.20/0.45  
% 0.20/0.45  % num_of_input_clauses:                 67
% 0.20/0.45  % num_of_input_neg_conjectures:         1
% 0.20/0.45  % num_of_splits:                        0
% 0.20/0.45  % num_of_split_atoms:                   0
% 0.20/0.45  % num_of_sem_filtered_clauses:          0
% 0.20/0.45  % num_of_subtypes:                      0
% 0.20/0.45  % monotx_restored_types:                0
% 0.20/0.45  % sat_num_of_epr_types:                 0
% 0.20/0.45  % sat_num_of_non_cyclic_types:          0
% 0.20/0.45  % sat_guarded_non_collapsed_types:      0
% 0.20/0.45  % is_epr:                               0
% 0.20/0.45  % is_horn:                              0
% 0.20/0.45  % has_eq:                               1
% 0.20/0.45  % num_pure_diseq_elim:                  0
% 0.20/0.45  % simp_replaced_by:                     0
% 0.20/0.45  % res_preprocessed:                     2
% 0.20/0.45  % prep_upred:                           0
% 0.20/0.45  % prep_unflattend:                      0
% 0.20/0.45  % pred_elim_cands:                      0
% 0.20/0.45  % pred_elim:                            0
% 0.20/0.45  % pred_elim_cl:                         0
% 0.20/0.45  % pred_elim_cycles:                     0
% 0.20/0.45  % forced_gc_time:                       0
% 0.20/0.45  % gc_basic_clause_elim:                 0
% 0.20/0.45  % parsing_time:                         0.005
% 0.20/0.45  % sem_filter_time:                      0.
% 0.20/0.45  % pred_elim_time:                       0.
% 0.20/0.45  % out_proof_time:                       0.
% 0.20/0.45  % monotx_time:                          0.
% 0.20/0.45  % subtype_inf_time:                     0.
% 0.20/0.45  % unif_index_cands_time:                0.
% 0.20/0.45  % unif_index_add_time:                  0.
% 0.20/0.45  % total_time:                           0.039
% 0.20/0.45  % num_of_symbols:                       37
% 0.20/0.45  % num_of_terms:                         269
% 0.20/0.45  
% 0.20/0.45  % ------ Propositional Solver
% 0.20/0.45  
% 0.20/0.45  % prop_solver_calls:                    1
% 0.20/0.45  % prop_fast_solver_calls:               3
% 0.20/0.45  % prop_num_of_clauses:                  53
% 0.20/0.45  % prop_preprocess_simplified:           215
% 0.20/0.45  % prop_fo_subsumed:                     0
% 0.20/0.45  % prop_solver_time:                     0.
% 0.20/0.45  % prop_fast_solver_time:                0.
% 0.20/0.45  % prop_unsat_core_time:                 0.
% 0.20/0.45  
% 0.20/0.45  % ------ QBF 
% 0.20/0.45  
% 0.20/0.45  % qbf_q_res:                            0
% 0.20/0.45  % qbf_num_tautologies:                  0
% 0.20/0.45  % qbf_prep_cycles:                      0
% 0.20/0.45  
% 0.20/0.45  % ------ BMC1
% 0.20/0.45  
% 0.20/0.45  % bmc1_current_bound:                   -1
% 0.20/0.45  % bmc1_last_solved_bound:               -1
% 0.20/0.45  % bmc1_unsat_core_size:                 -1
% 0.20/0.45  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.45  % bmc1_merge_next_fun:                  0
% 0.20/0.45  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation
% 0.20/0.45  
% 0.20/0.45  % inst_num_of_clauses:                  67
% 0.20/0.45  % inst_num_in_passive:                  0
% 0.20/0.45  % inst_num_in_active:                   0
% 0.20/0.45  % inst_num_in_unprocessed:              67
% 0.20/0.45  % inst_num_of_loops:                    0
% 0.20/0.45  % inst_num_of_learning_restarts:        0
% 0.20/0.45  % inst_num_moves_active_passive:        0
% 0.20/0.45  % inst_lit_activity:                    0
% 0.20/0.45  % inst_lit_activity_moves:              0
% 0.20/0.45  % inst_num_tautologies:                 0
% 0.20/0.45  % inst_num_prop_implied:                0
% 0.20/0.45  % inst_num_existing_simplified:         0
% 0.20/0.45  % inst_num_eq_res_simplified:           0
% 0.20/0.45  % inst_num_child_elim:                  0
% 0.20/0.45  % inst_num_of_dismatching_blockings:    0
% 0.20/0.45  % inst_num_of_non_proper_insts:         0
% 0.20/0.45  % inst_num_of_duplicates:               0
% 0.20/0.45  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.45  % inst_dismatching_checking_time:       0.
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution
% 0.20/0.45  
% 0.20/0.45  % res_num_of_clauses:                   92
% 0.20/0.45  % res_num_in_passive:                   0
% 0.20/0.45  % res_num_in_active:                    45
% 0.20/0.45  % res_num_of_loops:                     2
% 0.20/0.45  % res_forward_subset_subsumed:          22
% 0.20/0.45  % res_backward_subset_subsumed:         0
% 0.20/0.45  % res_forward_subsumed:                 0
% 0.20/0.45  % res_backward_subsumed:                0
% 0.20/0.45  % res_forward_subsumption_resolution:   0
% 0.20/0.45  % res_backward_subsumption_resolution:  0
% 0.20/0.45  % res_clause_to_clause_subsumption:     0
% 0.20/0.45  % res_orphan_elimination:               0
% 0.20/0.45  % res_tautology_del:                    0
% 0.20/0.45  % res_num_eq_res_simplified:            0
% 0.20/0.45  % res_num_sel_changes:                  0
% 0.20/0.45  % res_moves_from_active_to_pass:        0
% 0.20/0.45  
% 0.20/0.45  % Status Unknown
% 0.20/0.49  % Orienting using strategy ClausalAll
% 0.20/0.49  % Orientation found
% 0.20/0.49  % 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/sandbox2/tmp/iprover_proof_a2f194.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_0e7dab.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a894ee | grep -v "SZS"
% 0.20/0.51  
% 0.20/0.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------  iProver source info 
% 0.20/0.51  
% 0.20/0.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51  % git: non_committed_changes: true
% 0.20/0.51  % git: last_make_outside_of_git: true
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------ Input Options
% 0.20/0.51  
% 0.20/0.51  % --out_options                         all
% 0.20/0.51  % --tptp_safe_out                       true
% 0.20/0.51  % --problem_path                        ""
% 0.20/0.51  % --include_path                        ""
% 0.20/0.51  % --clausifier                          .//eprover
% 0.20/0.51  % --clausifier_options                  --tstp-format  
% 0.20/0.51  % --stdin                               false
% 0.20/0.51  % --dbg_backtrace                       false
% 0.20/0.51  % --dbg_dump_prop_clauses               false
% 0.20/0.51  % --dbg_dump_prop_clauses_file          -
% 0.20/0.51  % --dbg_out_stat                        false
% 0.20/0.51  
% 0.20/0.51  % ------ General Options
% 0.20/0.51  
% 0.20/0.51  % --fof                                 false
% 0.20/0.51  % --time_out_real                       150.
% 0.20/0.51  % --time_out_prep_mult                  0.2
% 0.20/0.51  % --time_out_virtual                    -1.
% 0.20/0.51  % --schedule                            none
% 0.20/0.51  % --ground_splitting                    input
% 0.20/0.51  % --splitting_nvd                       16
% 0.20/0.51  % --non_eq_to_eq                        false
% 0.20/0.51  % --prep_gs_sim                         true
% 0.20/0.51  % --prep_unflatten                      false
% 0.20/0.51  % --prep_res_sim                        true
% 0.20/0.51  % --prep_upred                          true
% 0.20/0.51  % --res_sim_input                       true
% 0.20/0.51  % --clause_weak_htbl                    true
% 0.20/0.51  % --gc_record_bc_elim                   false
% 0.20/0.51  % --symbol_type_check                   false
% 0.20/0.51  % --clausify_out                        false
% 0.20/0.51  % --large_theory_mode                   false
% 0.20/0.51  % --prep_sem_filter                     none
% 0.20/0.51  % --prep_sem_filter_out                 false
% 0.20/0.51  % --preprocessed_out                    false
% 0.20/0.51  % --sub_typing                          false
% 0.20/0.51  % --brand_transform                     false
% 0.20/0.51  % --pure_diseq_elim                     true
% 0.20/0.51  % --min_unsat_core                      false
% 0.20/0.51  % --pred_elim                           true
% 0.20/0.51  % --add_important_lit                   false
% 0.20/0.51  % --soft_assumptions                    false
% 0.20/0.51  % --reset_solvers                       false
% 0.20/0.51  % --bc_imp_inh                          []
% 0.20/0.51  % --conj_cone_tolerance                 1.5
% 0.20/0.51  % --prolific_symb_bound                 500
% 0.20/0.51  % --lt_threshold                        2000
% 0.20/0.51  
% 0.20/0.51  % ------ SAT Options
% 0.20/0.51  
% 0.20/0.51  % --sat_mode                            false
% 0.20/0.51  % --sat_fm_restart_options              ""
% 0.20/0.51  % --sat_gr_def                          false
% 0.20/0.51  % --sat_epr_types                       true
% 0.20/0.51  % --sat_non_cyclic_types                false
% 0.20/0.51  % --sat_finite_models                   false
% 0.20/0.51  % --sat_fm_lemmas                       false
% 0.20/0.51  % --sat_fm_prep                         false
% 0.20/0.51  % --sat_fm_uc_incr                      true
% 0.20/0.51  % --sat_out_model                       small
% 0.20/0.51  % --sat_out_clauses                     false
% 0.20/0.51  
% 0.20/0.51  % ------ QBF Options
% 0.20/0.51  
% 0.20/0.51  % --qbf_mode                            false
% 0.20/0.51  % --qbf_elim_univ                       true
% 0.20/0.51  % --qbf_sk_in                           true
% 0.20/0.51  % --qbf_pred_elim                       true
% 0.20/0.51  % --qbf_split                           32
% 0.20/0.51  
% 0.20/0.51  % ------ BMC1 Options
% 0.20/0.51  
% 0.20/0.51  % --bmc1_incremental                    false
% 0.20/0.51  % --bmc1_axioms                         reachable_all
% 0.20/0.51  % --bmc1_min_bound                      0
% 0.20/0.51  % --bmc1_max_bound                      -1
% 0.20/0.51  % --bmc1_max_bound_default              -1
% 0.20/0.51  % --bmc1_symbol_reachability            true
% 0.20/0.51  % --bmc1_property_lemmas                false
% 0.20/0.51  % --bmc1_k_induction                    false
% 0.20/0.51  % --bmc1_non_equiv_states               false
% 0.20/0.51  % --bmc1_deadlock                       false
% 0.20/0.51  % --bmc1_ucm                            false
% 0.20/0.51  % --bmc1_add_unsat_core                 none
% 0.20/0.51  % --bmc1_unsat_core_children            false
% 0.20/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.51  % --bmc1_out_stat                       full
% 0.20/0.51  % --bmc1_ground_init                    false
% 0.20/0.51  % --bmc1_pre_inst_next_state            false
% 0.20/0.51  % --bmc1_pre_inst_state                 false
% 0.20/0.51  % --bmc1_pre_inst_reach_state           false
% 0.20/0.51  % --bmc1_out_unsat_core                 false
% 0.20/0.51  % --bmc1_aig_witness_out                false
% 0.20/0.51  % --bmc1_verbose                        false
% 0.20/0.51  % --bmc1_dump_clauses_tptp              false
% 0.20/0.53  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.53  % --bmc1_dump_file                      -
% 0.20/0.53  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.53  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.53  % --bmc1_ucm_extend_mode                1
% 0.20/0.53  % --bmc1_ucm_init_mode                  2
% 0.20/0.53  % --bmc1_ucm_cone_mode                  none
% 0.20/0.53  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.53  % --bmc1_ucm_relax_model                4
% 0.20/0.53  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.53  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.53  % --bmc1_ucm_layered_model              none
% 0.20/0.53  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.53  
% 0.20/0.53  % ------ AIG Options
% 0.20/0.53  
% 0.20/0.53  % --aig_mode                            false
% 0.20/0.53  
% 0.20/0.53  % ------ Instantiation Options
% 0.20/0.53  
% 0.20/0.53  % --instantiation_flag                  true
% 0.20/0.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.53  % --inst_solver_per_active              750
% 0.20/0.53  % --inst_solver_calls_frac              0.5
% 0.20/0.53  % --inst_passive_queue_type             priority_queues
% 0.20/0.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.53  % --inst_passive_queues_freq            [25;2]
% 0.20/0.53  % --inst_dismatching                    true
% 0.20/0.53  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.53  % --inst_prop_sim_given                 true
% 0.20/0.53  % --inst_prop_sim_new                   false
% 0.20/0.53  % --inst_orphan_elimination             true
% 0.20/0.53  % --inst_learning_loop_flag             true
% 0.20/0.53  % --inst_learning_start                 3000
% 0.20/0.53  % --inst_learning_factor                2
% 0.20/0.53  % --inst_start_prop_sim_after_learn     3
% 0.20/0.53  % --inst_sel_renew                      solver
% 0.20/0.53  % --inst_lit_activity_flag              true
% 0.20/0.53  % --inst_out_proof                      true
% 0.20/0.53  
% 0.20/0.53  % ------ Resolution Options
% 0.20/0.53  
% 0.20/0.53  % --resolution_flag                     true
% 0.20/0.53  % --res_lit_sel                         kbo_max
% 0.20/0.53  % --res_to_prop_solver                  none
% 0.20/0.53  % --res_prop_simpl_new                  false
% 0.20/0.53  % --res_prop_simpl_given                false
% 0.20/0.53  % --res_passive_queue_type              priority_queues
% 0.20/0.53  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.53  % --res_passive_queues_freq             [15;5]
% 0.20/0.53  % --res_forward_subs                    full
% 0.20/0.53  % --res_backward_subs                   full
% 0.20/0.53  % --res_forward_subs_resolution         true
% 0.20/0.53  % --res_backward_subs_resolution        true
% 0.20/0.53  % --res_orphan_elimination              false
% 0.20/0.53  % --res_time_limit                      1000.
% 0.20/0.53  % --res_out_proof                       true
% 0.20/0.53  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_a2f194.s
% 0.20/0.53  % --modulo                              true
% 0.20/0.53  
% 0.20/0.53  % ------ Combination Options
% 0.20/0.53  
% 0.20/0.53  % --comb_res_mult                       1000
% 0.20/0.53  % --comb_inst_mult                      300
% 0.20/0.53  % ------ 
% 0.20/0.53  
% 0.20/0.53  % ------ Parsing...% successful
% 0.20/0.53  
% 0.20/0.53  % ------ 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 % 
% 0.20/0.53  
% 0.20/0.53  % ------ Proving...
% 0.20/0.53  % ------ Problem Properties 
% 0.20/0.53  
% 0.20/0.53  % 
% 0.20/0.53  % EPR                                   false
% 0.20/0.53  % Horn                                  false
% 0.20/0.53  % Has equality                          true
% 0.20/0.53  
% 0.20/0.53  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  % % ------ Current options:
% 0.20/0.53  
% 0.20/0.53  % ------ Input Options
% 0.20/0.53  
% 0.20/0.53  % --out_options                         all
% 0.20/0.53  % --tptp_safe_out                       true
% 0.20/0.53  % --problem_path                        ""
% 0.20/0.53  % --include_path                        ""
% 0.20/0.53  % --clausifier                          .//eprover
% 0.20/0.53  % --clausifier_options                  --tstp-format  
% 0.20/0.53  % --stdin                               false
% 0.20/0.53  % --dbg_backtrace                       false
% 0.20/0.53  % --dbg_dump_prop_clauses               false
% 0.20/0.53  % --dbg_dump_prop_clauses_file          -
% 0.20/0.53  % --dbg_out_stat                        false
% 0.20/0.53  
% 0.20/0.53  % ------ General Options
% 0.20/0.53  
% 0.20/0.53  % --fof                                 false
% 0.20/0.53  % --time_out_real                       150.
% 0.20/0.53  % --time_out_prep_mult                  0.2
% 0.20/0.53  % --time_out_virtual                    -1.
% 0.20/0.53  % --schedule                            none
% 0.20/0.53  % --ground_splitting                    input
% 0.20/0.53  % --splitting_nvd                       16
% 0.20/0.53  % --non_eq_to_eq                        false
% 0.20/0.53  % --prep_gs_sim                         true
% 0.20/0.53  % --prep_unflatten                      false
% 0.20/0.53  % --prep_res_sim                        true
% 0.20/0.53  % --prep_upred                          true
% 0.20/0.53  % --res_sim_input                       true
% 0.20/0.53  % --clause_weak_htbl                    true
% 0.20/0.53  % --gc_record_bc_elim                   false
% 0.20/0.53  % --symbol_type_check                   false
% 0.20/0.53  % --clausify_out                        false
% 0.20/0.53  % --large_theory_mode                   false
% 0.20/0.53  % --prep_sem_filter                     none
% 0.20/0.53  % --prep_sem_filter_out                 false
% 0.20/0.53  % --preprocessed_out                    false
% 0.20/0.53  % --sub_typing                          false
% 0.20/0.53  % --brand_transform                     false
% 0.20/0.53  % --pure_diseq_elim                     true
% 0.20/0.53  % --min_unsat_core                      false
% 0.20/0.53  % --pred_elim                           true
% 0.20/0.53  % --add_important_lit                   false
% 0.20/0.53  % --soft_assumptions                    false
% 0.20/0.53  % --reset_solvers                       false
% 0.20/0.53  % --bc_imp_inh                          []
% 0.20/0.53  % --conj_cone_tolerance                 1.5
% 0.20/0.53  % --prolific_symb_bound                 500
% 0.20/0.53  % --lt_threshold                        2000
% 0.20/0.53  
% 0.20/0.53  % ------ SAT Options
% 0.20/0.53  
% 0.20/0.53  % --sat_mode                            false
% 0.20/0.53  % --sat_fm_restart_options              ""
% 0.20/0.53  % --sat_gr_def                          false
% 0.20/0.53  % --sat_epr_types                       true
% 0.20/0.53  % --sat_non_cyclic_types                false
% 0.20/0.53  % --sat_finite_models                   false
% 0.20/0.53  % --sat_fm_lemmas                       false
% 0.20/0.53  % --sat_fm_prep                         false
% 0.20/0.53  % --sat_fm_uc_incr                      true
% 0.20/0.53  % --sat_out_model                       small
% 0.20/0.53  % --sat_out_clauses                     false
% 0.20/0.53  
% 0.20/0.53  % ------ QBF Options
% 0.20/0.53  
% 0.20/0.53  % --qbf_mode                            false
% 0.20/0.53  % --qbf_elim_univ                       true
% 0.20/0.53  % --qbf_sk_in                           true
% 0.20/0.53  % --qbf_pred_elim                       true
% 0.20/0.53  % --qbf_split                           32
% 0.20/0.53  
% 0.20/0.53  % ------ BMC1 Options
% 0.20/0.53  
% 0.20/0.53  % --bmc1_incremental                    false
% 0.20/0.53  % --bmc1_axioms                         reachable_all
% 0.20/0.53  % --bmc1_min_bound                      0
% 0.20/0.53  % --bmc1_max_bound                      -1
% 0.20/0.53  % --bmc1_max_bound_default              -1
% 0.20/0.53  % --bmc1_symbol_reachability            true
% 0.20/0.53  % --bmc1_property_lemmas                false
% 0.20/0.53  % --bmc1_k_induction                    false
% 0.20/0.53  % --bmc1_non_equiv_states               false
% 0.20/0.53  % --bmc1_deadlock                       false
% 0.20/0.53  % --bmc1_ucm                            false
% 0.20/0.53  % --bmc1_add_unsat_core                 none
% 0.20/0.53  % --bmc1_unsat_core_children            false
% 0.20/0.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.53  % --bmc1_out_stat                       full
% 0.20/0.53  % --bmc1_ground_init                    false
% 0.20/0.53  % --bmc1_pre_inst_next_state            false
% 0.20/0.53  % --bmc1_pre_inst_state                 false
% 0.20/0.53  % --bmc1_pre_inst_reach_state           false
% 0.20/0.53  % --bmc1_out_unsat_core                 false
% 0.20/0.53  % --bmc1_aig_witness_out                false
% 0.20/0.53  % --bmc1_verbose                        false
% 0.20/0.53  % --bmc1_dump_clauses_tptp              false
% 0.20/0.53  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.53  % --bmc1_dump_file                      -
% 0.20/0.53  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.53  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.53  % --bmc1_ucm_extend_mode                1
% 0.20/0.53  % --bmc1_ucm_init_mode                  2
% 0.20/0.53  % --bmc1_ucm_cone_mode                  none
% 0.20/0.53  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.53  % --bmc1_ucm_relax_model                4
% 0.20/0.53  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.53  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.53  % --bmc1_ucm_layered_model              none
% 0.20/0.53  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.53  
% 0.20/0.53  % ------ AIG Options
% 0.20/0.53  
% 0.20/0.53  % --aig_mode                            false
% 0.20/0.53  
% 0.20/0.53  % ------ Instantiation Options
% 0.20/0.53  
% 0.20/0.53  % --instantiation_flag                  true
% 0.20/0.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.53  % --inst_solver_per_active              750
% 0.20/0.53  % --inst_solver_calls_frac              0.5
% 0.20/0.53  % --inst_passive_queue_type             priority_queues
% 0.20/0.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.53  % --inst_passive_queues_freq            [25;2]
% 0.20/0.53  % --inst_dismatching                    true
% 0.20/0.53  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.53  % --inst_prop_sim_given                 true
% 0.20/0.53  % --inst_prop_sim_new                   false
% 0.20/0.53  % --inst_orphan_elimination             true
% 0.20/0.53  % --inst_learning_loop_flag             true
% 0.20/0.53  % --inst_learning_start                 3000
% 0.20/0.53  % --inst_learning_factor                2
% 0.20/0.53  % --inst_start_prop_sim_after_learn     3
% 0.20/0.53  % --inst_sel_renew                      solver
% 0.20/0.53  % --inst_lit_activity_flag              true
% 0.20/0.53  % --inst_out_proof                      true
% 0.20/0.53  
% 0.20/0.53  % ------ Resolution Options
% 0.20/0.53  
% 0.20/0.53  % --resolution_flag                     true
% 0.20/0.53  % --res_lit_sel                         kbo_max
% 0.20/0.53  % --res_to_prop_solver                  none
% 0.20/0.53  % --res_prop_simpl_new                  false
% 0.20/0.53  % --res_prop_simpl_given                false
% 0.20/0.53  % --res_passive_queue_type              priority_queues
% 0.20/0.53  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.53  % --res_passive_queues_freq             [15;5]
% 0.20/0.53  % --res_forward_subs                    full
% 0.20/0.53  % --res_backward_subs                   full
% 0.20/0.53  % --res_forward_subs_resolution         true
% 0.20/0.53  % --res_backward_subs_resolution        true
% 0.20/0.53  % --res_orphan_elimination              false
% 0.20/0.53  % --res_time_limit                      1000.
% 0.20/0.53  % --res_out_proof                       true
% 0.20/0.53  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_a2f194.s
% 0.20/0.53  % --modulo                              true
% 0.20/0.53  
% 0.20/0.53  % ------ Combination Options
% 0.20/0.53  
% 0.20/0.53  % --comb_res_mult                       1000
% 0.20/0.53  % --comb_inst_mult                      300
% 0.20/0.53  % ------ 
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  % ------ Proving...
% 0.20/0.53  % 
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  %  Resolution empty clause
% 0.20/0.53  
% 0.20/0.53  % ------                             Statistics
% 0.20/0.53  
% 0.20/0.53  % ------ General
% 0.20/0.53  
% 0.20/0.53  % num_of_input_clauses:                 67
% 0.20/0.53  % num_of_input_neg_conjectures:         1
% 0.20/0.53  % num_of_splits:                        0
% 0.20/0.53  % num_of_split_atoms:                   0
% 0.20/0.53  % num_of_sem_filtered_clauses:          0
% 0.20/0.53  % num_of_subtypes:                      0
% 0.20/0.53  % monotx_restored_types:                0
% 0.20/0.53  % sat_num_of_epr_types:                 0
% 0.20/0.53  % sat_num_of_non_cyclic_types:          0
% 0.20/0.53  % sat_guarded_non_collapsed_types:      0
% 0.20/0.53  % is_epr:                               0
% 0.20/0.53  % is_horn:                              0
% 0.20/0.53  % has_eq:                               1
% 0.20/0.53  % num_pure_diseq_elim:                  0
% 0.20/0.53  % simp_replaced_by:                     0
% 0.20/0.53  % res_preprocessed:                     2
% 0.20/0.53  % prep_upred:                           0
% 0.20/0.53  % prep_unflattend:                      0
% 0.20/0.53  % pred_elim_cands:                      0
% 0.20/0.53  % pred_elim:                            0
% 0.20/0.53  % pred_elim_cl:                         0
% 0.20/0.53  % pred_elim_cycles:                     0
% 0.20/0.53  % forced_gc_time:                       0
% 0.20/0.53  % gc_basic_clause_elim:                 0
% 0.20/0.53  % parsing_time:                         0.006
% 0.20/0.53  % sem_filter_time:                      0.
% 0.20/0.53  % pred_elim_time:                       0.
% 0.20/0.53  % out_proof_time:                       0.
% 0.20/0.53  % monotx_time:                          0.
% 0.20/0.53  % subtype_inf_time:                     0.
% 0.20/0.53  % unif_index_cands_time:                0.
% 0.20/0.53  % unif_index_add_time:                  0.
% 0.20/0.53  % total_time:                           0.031
% 0.20/0.53  % num_of_symbols:                       37
% 0.20/0.53  % num_of_terms:                         269
% 0.20/0.53  
% 0.20/0.53  % ------ Propositional Solver
% 0.20/0.53  
% 0.20/0.53  % prop_solver_calls:                    1
% 0.20/0.53  % prop_fast_solver_calls:               3
% 0.20/0.53  % prop_num_of_clauses:                  57
% 0.20/0.53  % prop_preprocess_simplified:           211
% 0.20/0.53  % prop_fo_subsumed:                     0
% 0.20/0.53  % prop_solver_time:                     0.
% 0.20/0.53  % prop_fast_solver_time:                0.
% 0.20/0.53  % prop_unsat_core_time:                 0.
% 0.20/0.53  
% 0.20/0.53  % ------ QBF 
% 0.20/0.53  
% 0.20/0.53  % qbf_q_res:                            0
% 0.20/0.53  % qbf_num_tautologies:                  0
% 0.20/0.53  % qbf_prep_cycles:                      0
% 0.20/0.53  
% 0.20/0.53  % ------ BMC1
% 0.20/0.53  
% 0.20/0.53  % bmc1_current_bound:                   -1
% 0.20/0.53  % bmc1_last_solved_bound:               -1
% 0.20/0.53  % bmc1_unsat_core_size:                 -1
% 0.20/0.53  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.53  % bmc1_merge_next_fun:                  0
% 0.20/0.53  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.53  
% 0.20/0.53  % ------ Instantiation
% 0.20/0.53  
% 0.20/0.53  % inst_num_of_clauses:                  67
% 0.20/0.53  % inst_num_in_passive:                  0
% 0.20/0.53  % inst_num_in_active:                   0
% 0.20/0.53  % inst_num_in_unprocessed:              67
% 0.20/0.53  % inst_num_of_loops:                    0
% 0.20/0.53  % inst_num_of_learning_restarts:        0
% 0.20/0.53  % inst_num_moves_active_passive:        0
% 0.20/0.53  % inst_lit_activity:                    0
% 0.20/0.53  % inst_lit_activity_moves:              0
% 0.20/0.53  % inst_num_tautologies:                 0
% 0.20/0.53  % inst_num_prop_implied:                0
% 0.20/0.53  % inst_num_existing_simplified:         0
% 0.20/0.53  % inst_num_eq_res_simplified:           0
% 0.20/0.53  % inst_num_child_elim:                  0
% 0.20/0.53  % inst_num_of_dismatching_blockings:    0
% 0.20/0.53  % inst_num_of_non_proper_insts:         0
% 0.20/0.53  % inst_num_of_duplicates:               0
% 0.20/0.53  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.53  % inst_dismatching_checking_time:       0.
% 0.20/0.53  
% 0.20/0.53  % ------ Resolution
% 0.20/0.53  
% 0.20/0.53  % res_num_of_clauses:                   93
% 0.20/0.53  % res_num_in_passive:                   0
% 0.20/0.53  % res_num_in_active:                    45
% 0.20/0.53  % res_num_of_loops:                     2
% 0.20/0.53  % res_forward_subset_subsumed:          22
% 0.20/0.53  % res_backward_subset_subsumed:         0
% 0.20/0.53  % res_forward_subsumed:                 0
% 0.20/0.53  % res_backward_subsumed:                0
% 0.20/0.53  % res_forward_subsumption_resolution:   3
% 0.20/0.53  % res_backward_subsumption_resolution:  0
% 0.20/0.53  % res_clause_to_clause_subsumption:     6
% 0.20/0.53  % res_orphan_elimination:               0
% 0.20/0.53  % res_tautology_del:                    0
% 0.20/0.53  % res_num_eq_res_simplified:            0
% 0.20/0.53  % res_num_sel_changes:                  0
% 0.20/0.53  % res_moves_from_active_to_pass:        0
% 0.20/0.53  
% 0.20/0.53  % Status Unsatisfiable
% 0.20/0.53  % SZS status Unsatisfiable
% 0.20/0.53  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------