%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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  : 300s
% DateTime : Wed Aug 30 22:46:27 EDT 2023

% Result   : Theorem 21.99s 22.05s
% Output   : CNFRefutation 21.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   76
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  755 (  63 unt;  25 typ;   0 def)
%            Number of atoms       : 2229 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives : 2550 (1051   ~;1456   |;  23   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (   7   >;  24   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   2 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;  17 con; 0-17 aty)
%            Number of variables   :  544 (  18 sgn; 108   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    a: $i ).

tff(decl_23,type,
    b: $i ).

tff(decl_24,type,
    c: $i ).

tff(decl_25,type,
    l: $i ).

tff(decl_26,type,
    colinear: ( $i * $i * $i * $i ) > $o ).

tff(decl_27,type,
    d: $i ).

tff(decl_28,type,
    e: $i ).

tff(decl_29,type,
    f: $i ).

tff(decl_30,type,
    m: $i ).

tff(decl_31,type,
    g: $i ).

tff(decl_32,type,
    n: $i ).

tff(decl_33,type,
    o: $i ).

tff(decl_34,type,
    h: $i ).

tff(decl_35,type,
    p: $i ).

tff(decl_36,type,
    q: $i ).

tff(decl_37,type,
    i: $i ).

tff(decl_38,type,
    r: $i ).

tff(decl_39,type,
    s: $i ).

tff(decl_40,type,
    incident: ( $i * $i ) > $o ).

tff(decl_41,type,
    goal: $o ).

tff(decl_42,type,
    point_equal: ( $i * $i ) > $o ).

tff(decl_43,type,
    line_equal: ( $i * $i ) > $o ).

tff(decl_44,type,
    esk1_17: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_46,type,
    esk3_2: ( $i * $i ) > $i ).

fof(colinearity_elimination2,axiom,
    ! [X1,X2,X3,X4] :
      ( colinear(X1,X2,X3,X4)
     => incident(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination2) ).

fof(unique,axiom,
    ! [X1,X2,X3,X4] :
      ( ( incident(X3,X1)
        & incident(X3,X2)
        & incident(X4,X1)
        & incident(X4,X2) )
     => ( point_equal(X3,X4)
        | line_equal(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).

fof(assumption1,axiom,
    ( colinear(a,b,c,l)
    & colinear(d,e,f,m) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption1) ).

fof(colinearity_elimination1,axiom,
    ! [X1,X2,X3,X4] :
      ( colinear(X1,X2,X3,X4)
     => incident(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination1) ).

fof(colinearity_elimination3,axiom,
    ! [X1,X2,X3,X4] :
      ( colinear(X1,X2,X3,X4)
     => incident(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity_elimination3) ).

fof(assumption4,axiom,
    ( colinear(c,d,i,r)
    & colinear(a,f,i,s) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption4) ).

fof(lcon,axiom,
    ! [X1,X2,X3] :
      ( ( incident(X1,X2)
        & line_equal(X2,X3) )
     => incident(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).

fof(goaldl,axiom,
    ( incident(d,l)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goaldl) ).

fof(goal_to_be_proved,conjecture,
    goal,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).

fof(symmetry_of_point_equal,axiom,
    ! [X1,X2] :
      ( point_equal(X1,X2)
     => point_equal(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).

fof(pcon,axiom,
    ! [X1,X2,X3] :
      ( ( point_equal(X1,X2)
        & incident(X2,X3) )
     => incident(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).

fof(assumption3,axiom,
    ( colinear(b,d,h,p)
    & colinear(a,e,h,q) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption3) ).

fof(assumption2,axiom,
    ( colinear(b,f,g,n)
    & colinear(c,e,g,o) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption2) ).

fof(goal4,axiom,
    ! [X1] :
      ( ( incident(g,X1)
        & incident(h,X1)
        & incident(i,X1) )
     => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal4) ).

fof(pappus1,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ( colinear(X1,X2,X3,X10)
        & colinear(X4,X5,X6,X11)
        & colinear(X2,X6,X7,X12)
        & colinear(X3,X5,X7,X13)
        & colinear(X2,X4,X8,X14)
        & colinear(X1,X5,X8,X15)
        & colinear(X3,X4,X9,X16)
        & colinear(X1,X6,X9,X17) )
     => ( ? [X18] : colinear(X7,X8,X9,X18)
        | line_equal(X12,X13)
        | line_equal(X14,X15)
        | line_equal(X16,X17) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pappus1) ).

fof(goalfl,axiom,
    ( incident(f,l)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalfl) ).

fof(transitivity_of_point_equal,axiom,
    ! [X1,X2,X3] :
      ( ( point_equal(X1,X2)
        & point_equal(X2,X3) )
     => point_equal(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_point_equal) ).

fof(goalbm,axiom,
    ( incident(b,m)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalbm) ).

fof(goalcm,axiom,
    ( incident(c,m)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalcm) ).

fof(goalel,axiom,
    ( incident(e,l)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalel) ).

fof(symmetry_of_line_equal,axiom,
    ! [X1,X2] :
      ( line_equal(X1,X2)
     => line_equal(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).

fof(goalam,axiom,
    ( incident(a,m)
   => goal ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goalam) ).

fof(reflexivity_of_point_equal,axiom,
    ! [X1,X2] :
      ( incident(X1,X2)
     => point_equal(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).

fof(line,axiom,
    ! [X1,X2] :
      ( ( point_equal(X1,X1)
        & point_equal(X2,X2) )
     => ? [X3] :
          ( incident(X1,X3)
          & incident(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).

fof(transitivity_of_line_equal,axiom,
    ! [X1,X2,X3] :
      ( ( line_equal(X1,X2)
        & line_equal(X2,X3) )
     => line_equal(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_line_equal) ).

fof(c_0_25,plain,
    ! [X24,X25,X26,X27] :
      ( ~ colinear(X24,X25,X26,X27)
      | incident(X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[colinearity_elimination2])]) ).

fof(c_0_26,plain,
    ! [X70,X71,X72,X73] :
      ( ~ incident(X72,X70)
      | ~ incident(X72,X71)
      | ~ incident(X73,X70)
      | ~ incident(X73,X71)
      | point_equal(X72,X73)
      | line_equal(X70,X71) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).

cnf(c_0_27,plain,
    ( incident(X2,X4)
    | ~ colinear(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,plain,
    colinear(a,b,c,l),
    inference(split_conjunct,[status(thm)],[assumption1]) ).

fof(c_0_29,plain,
    ! [X20,X21,X22,X23] :
      ( ~ colinear(X20,X21,X22,X23)
      | incident(X20,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[colinearity_elimination1])]) ).

fof(c_0_30,plain,
    ! [X28,X29,X30,X31] :
      ( ~ colinear(X28,X29,X30,X31)
      | incident(X30,X31) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[colinearity_elimination3])]) ).

cnf(c_0_31,plain,
    ( point_equal(X1,X4)
    | line_equal(X2,X3)
    | ~ incident(X1,X2)
    | ~ incident(X1,X3)
    | ~ incident(X4,X2)
    | ~ incident(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_32,plain,
    incident(b,l),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,plain,
    ( incident(X1,X4)
    | ~ colinear(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    colinear(c,d,i,r),
    inference(split_conjunct,[status(thm)],[assumption4]) ).

cnf(c_0_35,plain,
    ( incident(X3,X4)
    | ~ colinear(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_36,plain,
    ! [X49,X50,X51] :
      ( ~ incident(X49,X50)
      | ~ line_equal(X50,X51)
      | incident(X49,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lcon])]) ).

cnf(c_0_37,plain,
    ( line_equal(X1,l)
    | point_equal(X2,b)
    | ~ incident(b,X1)
    | ~ incident(X2,l)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,plain,
    incident(c,r),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    incident(c,l),
    inference(spm,[status(thm)],[c_0_35,c_0_28]) ).

fof(c_0_40,plain,
    ( ~ incident(d,l)
    | goal ),
    inference(fof_nnf,[status(thm)],[goaldl]) ).

fof(c_0_41,negated_conjecture,
    ~ goal,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).

cnf(c_0_42,plain,
    ( incident(X1,X3)
    | ~ incident(X1,X2)
    | ~ line_equal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,plain,
    ( line_equal(r,l)
    | point_equal(c,b)
    | ~ incident(b,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_44,plain,
    ( goal
    | ~ incident(d,l) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ~ goal,
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_46,plain,
    ! [X34,X35] :
      ( ~ point_equal(X34,X35)
      | point_equal(X35,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_point_equal])]) ).

cnf(c_0_47,plain,
    ( point_equal(c,b)
    | incident(X1,l)
    | ~ incident(b,r)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    incident(d,r),
    inference(spm,[status(thm)],[c_0_27,c_0_34]) ).

cnf(c_0_49,plain,
    ~ incident(d,l),
    inference(sr,[status(thm)],[c_0_44,c_0_45]) ).

fof(c_0_50,plain,
    ! [X46,X47,X48] :
      ( ~ point_equal(X46,X47)
      | ~ incident(X47,X48)
      | incident(X46,X48) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pcon])]) ).

cnf(c_0_51,plain,
    ( point_equal(X2,X1)
    | ~ point_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,plain,
    ( point_equal(c,b)
    | ~ incident(b,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_53,plain,
    colinear(b,d,h,p),
    inference(split_conjunct,[status(thm)],[assumption3]) ).

cnf(c_0_54,plain,
    colinear(b,f,g,n),
    inference(split_conjunct,[status(thm)],[assumption2]) ).

cnf(c_0_55,plain,
    ( incident(X1,X3)
    | ~ point_equal(X1,X2)
    | ~ incident(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,plain,
    ( point_equal(b,c)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,plain,
    colinear(c,e,g,o),
    inference(split_conjunct,[status(thm)],[assumption2]) ).

fof(c_0_58,plain,
    ! [X19] :
      ( ~ incident(g,X19)
      | ~ incident(h,X19)
      | ~ incident(i,X19)
      | goal ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal4])]) ).

fof(c_0_59,plain,
    ! [X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68] :
      ( ~ colinear(X52,X53,X54,X61)
      | ~ colinear(X55,X56,X57,X62)
      | ~ colinear(X53,X57,X58,X63)
      | ~ colinear(X54,X56,X58,X64)
      | ~ colinear(X53,X55,X59,X65)
      | ~ colinear(X52,X56,X59,X66)
      | ~ colinear(X54,X55,X60,X67)
      | ~ colinear(X52,X57,X60,X68)
      | colinear(X58,X59,X60,esk1_17(X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68))
      | line_equal(X63,X64)
      | line_equal(X65,X66)
      | line_equal(X67,X68) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pappus1])])]) ).

cnf(c_0_60,plain,
    incident(d,p),
    inference(spm,[status(thm)],[c_0_27,c_0_53]) ).

cnf(c_0_61,plain,
    ( line_equal(X1,l)
    | point_equal(X2,c)
    | ~ incident(c,X1)
    | ~ incident(X2,l)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_39]) ).

cnf(c_0_62,plain,
    incident(b,n),
    inference(spm,[status(thm)],[c_0_33,c_0_54]) ).

fof(c_0_63,plain,
    ( ~ incident(f,l)
    | goal ),
    inference(fof_nnf,[status(thm)],[goalfl]) ).

cnf(c_0_64,plain,
    incident(g,n),
    inference(spm,[status(thm)],[c_0_35,c_0_54]) ).

cnf(c_0_65,plain,
    ( incident(b,X1)
    | ~ incident(b,r)
    | ~ incident(c,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,plain,
    incident(c,o),
    inference(spm,[status(thm)],[c_0_33,c_0_57]) ).

cnf(c_0_67,plain,
    ( goal
    | ~ incident(g,X1)
    | ~ incident(h,X1)
    | ~ incident(i,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_68,plain,
    ( colinear(X9,X12,X15,esk1_17(X1,X2,X3,X5,X6,X7,X9,X12,X15,X4,X8,X10,X11,X13,X14,X16,X17))
    | line_equal(X10,X11)
    | line_equal(X13,X14)
    | line_equal(X16,X17)
    | ~ colinear(X1,X2,X3,X4)
    | ~ colinear(X5,X6,X7,X8)
    | ~ colinear(X2,X7,X9,X10)
    | ~ colinear(X3,X6,X9,X11)
    | ~ colinear(X2,X5,X12,X13)
    | ~ colinear(X1,X6,X12,X14)
    | ~ colinear(X3,X5,X15,X16)
    | ~ colinear(X1,X7,X15,X17) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_69,plain,
    ( line_equal(X1,p)
    | point_equal(X2,d)
    | ~ incident(d,X1)
    | ~ incident(X2,p)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_60]) ).

cnf(c_0_70,plain,
    incident(b,p),
    inference(spm,[status(thm)],[c_0_33,c_0_53]) ).

cnf(c_0_71,plain,
    incident(f,n),
    inference(spm,[status(thm)],[c_0_27,c_0_54]) ).

cnf(c_0_72,plain,
    colinear(d,e,f,m),
    inference(split_conjunct,[status(thm)],[assumption1]) ).

cnf(c_0_73,plain,
    ( line_equal(n,l)
    | point_equal(b,c)
    | ~ incident(c,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_32])]) ).

cnf(c_0_74,plain,
    ( goal
    | ~ incident(f,l) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_75,plain,
    ( line_equal(X1,n)
    | point_equal(X2,g)
    | ~ incident(g,X1)
    | ~ incident(X2,n)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_64]) ).

cnf(c_0_76,plain,
    incident(g,o),
    inference(spm,[status(thm)],[c_0_35,c_0_57]) ).

cnf(c_0_77,plain,
    ( incident(b,o)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_78,plain,
    ( ~ incident(g,X1)
    | ~ incident(h,X1)
    | ~ incident(i,X1) ),
    inference(sr,[status(thm)],[c_0_67,c_0_45]) ).

cnf(c_0_79,plain,
    ( line_equal(X1,X2)
    | line_equal(X3,X4)
    | line_equal(X5,X6)
    | incident(X7,esk1_17(X8,X9,X10,X11,X12,X13,X7,X14,X15,X16,X17,X5,X6,X3,X4,X1,X2))
    | ~ colinear(X11,X12,X13,X17)
    | ~ colinear(X10,X12,X7,X6)
    | ~ colinear(X10,X11,X15,X1)
    | ~ colinear(X9,X13,X7,X5)
    | ~ colinear(X9,X11,X14,X3)
    | ~ colinear(X8,X13,X15,X2)
    | ~ colinear(X8,X12,X14,X4)
    | ~ colinear(X8,X9,X10,X16) ),
    inference(spm,[status(thm)],[c_0_33,c_0_68]) ).

cnf(c_0_80,plain,
    ( line_equal(n,p)
    | point_equal(b,d)
    | ~ incident(d,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_62]),c_0_70])]) ).

cnf(c_0_81,plain,
    ( line_equal(X1,n)
    | point_equal(X2,f)
    | ~ incident(f,X1)
    | ~ incident(X2,n)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_71]) ).

cnf(c_0_82,plain,
    incident(e,m),
    inference(spm,[status(thm)],[c_0_27,c_0_72]) ).

cnf(c_0_83,plain,
    incident(f,m),
    inference(spm,[status(thm)],[c_0_35,c_0_72]) ).

fof(c_0_84,plain,
    ! [X36,X37,X38] :
      ( ~ point_equal(X36,X37)
      | ~ point_equal(X37,X38)
      | point_equal(X36,X38) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_point_equal])]) ).

cnf(c_0_85,plain,
    ( line_equal(X1,p)
    | point_equal(X2,b)
    | ~ incident(b,X1)
    | ~ incident(X2,p)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_70]) ).

cnf(c_0_86,plain,
    ( point_equal(b,c)
    | incident(X1,l)
    | ~ incident(c,n)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_73]) ).

cnf(c_0_87,plain,
    ~ incident(f,l),
    inference(sr,[status(thm)],[c_0_74,c_0_45]) ).

cnf(c_0_88,plain,
    ( line_equal(o,n)
    | point_equal(c,g)
    | ~ incident(c,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_66]),c_0_76])]) ).

cnf(c_0_89,plain,
    ( line_equal(o,n)
    | point_equal(b,g)
    | ~ incident(b,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_77]),c_0_76]),c_0_62])]) ).

cnf(c_0_90,plain,
    ( line_equal(X1,X2)
    | line_equal(X3,X4)
    | line_equal(X5,X6)
    | ~ incident(h,esk1_17(X7,X8,X9,X10,X11,X12,g,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6))
    | ~ incident(i,esk1_17(X7,X8,X9,X10,X11,X12,g,X13,X14,X15,X16,X1,X2,X3,X4,X5,X6))
    | ~ colinear(X9,X11,g,X2)
    | ~ colinear(X8,X12,g,X1)
    | ~ colinear(X10,X11,X12,X16)
    | ~ colinear(X9,X10,X14,X5)
    | ~ colinear(X8,X10,X13,X3)
    | ~ colinear(X7,X12,X14,X6)
    | ~ colinear(X7,X11,X13,X4)
    | ~ colinear(X7,X8,X9,X15) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_91,plain,
    ( line_equal(X1,X2)
    | line_equal(X3,X4)
    | line_equal(X5,X6)
    | incident(X7,esk1_17(X8,X9,X10,X11,X12,X13,X14,X15,X7,X16,X17,X5,X6,X3,X4,X1,X2))
    | ~ colinear(X11,X12,X13,X17)
    | ~ colinear(X10,X12,X14,X6)
    | ~ colinear(X10,X11,X7,X1)
    | ~ colinear(X9,X13,X14,X5)
    | ~ colinear(X9,X11,X15,X3)
    | ~ colinear(X8,X13,X7,X2)
    | ~ colinear(X8,X12,X15,X4)
    | ~ colinear(X8,X9,X10,X16) ),
    inference(spm,[status(thm)],[c_0_35,c_0_68]) ).

cnf(c_0_92,plain,
    ( point_equal(b,d)
    | incident(X1,p)
    | ~ incident(d,n)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_80]) ).

fof(c_0_93,plain,
    ( ~ incident(b,m)
    | goal ),
    inference(fof_nnf,[status(thm)],[goalbm]) ).

cnf(c_0_94,plain,
    ( line_equal(m,n)
    | point_equal(e,f)
    | ~ incident(e,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).

cnf(c_0_95,plain,
    ( point_equal(X1,X3)
    | ~ point_equal(X1,X2)
    | ~ point_equal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_96,plain,
    ( line_equal(r,p)
    | point_equal(d,b)
    | ~ incident(b,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_48]),c_0_60])]) ).

cnf(c_0_97,plain,
    ( point_equal(b,c)
    | ~ incident(c,n) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_71]),c_0_87]) ).

cnf(c_0_98,plain,
    ( point_equal(c,g)
    | incident(X1,n)
    | ~ incident(c,n)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_88]) ).

cnf(c_0_99,plain,
    incident(e,o),
    inference(spm,[status(thm)],[c_0_27,c_0_57]) ).

cnf(c_0_100,plain,
    ( point_equal(b,g)
    | incident(X1,n)
    | ~ incident(b,r)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_89]) ).

cnf(c_0_101,plain,
    ( line_equal(X1,X2)
    | line_equal(X3,X4)
    | line_equal(X5,X6)
    | ~ incident(h,esk1_17(X7,X8,X9,X10,X11,X12,g,X13,i,X14,X15,X5,X6,X3,X4,X1,X2))
    | ~ colinear(X9,X11,g,X6)
    | ~ colinear(X8,X12,g,X5)
    | ~ colinear(X9,X10,i,X1)
    | ~ colinear(X7,X12,i,X2)
    | ~ colinear(X10,X11,X12,X15)
    | ~ colinear(X8,X10,X13,X3)
    | ~ colinear(X7,X11,X13,X4)
    | ~ colinear(X7,X8,X9,X14) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_102,plain,
    ( line_equal(X1,X2)
    | line_equal(X3,X4)
    | line_equal(X5,X6)
    | incident(X7,esk1_17(X8,X9,X10,X11,X12,X13,X14,X7,X15,X16,X17,X5,X6,X3,X4,X1,X2))
    | ~ colinear(X11,X12,X13,X17)
    | ~ colinear(X10,X12,X14,X6)
    | ~ colinear(X10,X11,X15,X1)
    | ~ colinear(X9,X13,X14,X5)
    | ~ colinear(X9,X11,X7,X3)
    | ~ colinear(X8,X13,X15,X2)
    | ~ colinear(X8,X12,X7,X4)
    | ~ colinear(X8,X9,X10,X16) ),
    inference(spm,[status(thm)],[c_0_27,c_0_68]) ).

cnf(c_0_103,plain,
    ( point_equal(b,d)
    | incident(g,p)
    | ~ incident(d,n) ),
    inference(spm,[status(thm)],[c_0_92,c_0_64]) ).

cnf(c_0_104,plain,
    ( goal
    | ~ incident(b,m) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_105,plain,
    ( point_equal(e,f)
    | incident(X1,n)
    | ~ incident(e,n)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_94]) ).

cnf(c_0_106,plain,
    incident(d,m),
    inference(spm,[status(thm)],[c_0_33,c_0_72]) ).

cnf(c_0_107,plain,
    ( point_equal(X1,c)
    | ~ point_equal(X1,b)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_95,c_0_56]) ).

cnf(c_0_108,plain,
    ( point_equal(d,b)
    | incident(X1,p)
    | ~ incident(b,r)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_96]) ).

cnf(c_0_109,plain,
    incident(i,r),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_110,plain,
    ( point_equal(c,b)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_51,c_0_97]) ).

cnf(c_0_111,plain,
    ( point_equal(c,g)
    | incident(e,n)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_112,plain,
    ( point_equal(b,g)
    | incident(c,n)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_100,c_0_66]) ).

cnf(c_0_113,plain,
    ( line_equal(X1,X2)
    | line_equal(X3,X4)
    | line_equal(X5,X6)
    | ~ colinear(X7,X8,g,X2)
    | ~ colinear(X9,X10,g,X1)
    | ~ colinear(X7,X11,i,X5)
    | ~ colinear(X12,X10,i,X6)
    | ~ colinear(X9,X11,h,X3)
    | ~ colinear(X12,X8,h,X4)
    | ~ colinear(X11,X8,X10,X13)
    | ~ colinear(X12,X9,X7,X14) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_114,plain,
    ( incident(g,p)
    | incident(b,X1)
    | ~ incident(d,n)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_103]) ).

cnf(c_0_115,plain,
    ~ incident(b,m),
    inference(sr,[status(thm)],[c_0_104,c_0_45]) ).

cnf(c_0_116,plain,
    ( point_equal(e,f)
    | incident(d,n)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_117,plain,
    colinear(a,f,i,s),
    inference(split_conjunct,[status(thm)],[assumption4]) ).

cnf(c_0_118,plain,
    ( point_equal(c,X1)
    | ~ point_equal(X1,b)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_107]) ).

cnf(c_0_119,plain,
    ( point_equal(d,b)
    | incident(i,p)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

fof(c_0_120,plain,
    ( ~ incident(c,m)
    | goal ),
    inference(fof_nnf,[status(thm)],[goalcm]) ).

cnf(c_0_121,plain,
    ( point_equal(X1,b)
    | ~ point_equal(X1,c)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_95,c_0_110]) ).

cnf(c_0_122,plain,
    ( point_equal(g,c)
    | incident(e,n)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_51,c_0_111]) ).

cnf(c_0_123,plain,
    ( point_equal(g,b)
    | incident(c,n)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_112]) ).

cnf(c_0_124,plain,
    colinear(a,e,h,q),
    inference(split_conjunct,[status(thm)],[assumption3]) ).

cnf(c_0_125,plain,
    ( line_equal(X1,o)
    | line_equal(X2,X3)
    | line_equal(X4,X5)
    | ~ colinear(c,X6,i,X2)
    | ~ colinear(X7,e,h,X5)
    | ~ colinear(X8,X9,g,X1)
    | ~ colinear(X7,X9,i,X3)
    | ~ colinear(X8,X6,h,X4)
    | ~ colinear(X6,e,X9,X10)
    | ~ colinear(X7,X8,c,X11) ),
    inference(spm,[status(thm)],[c_0_113,c_0_57]) ).

cnf(c_0_126,plain,
    ( incident(g,p)
    | ~ incident(d,n) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_106]),c_0_115]) ).

cnf(c_0_127,plain,
    incident(h,p),
    inference(spm,[status(thm)],[c_0_35,c_0_53]) ).

cnf(c_0_128,plain,
    ( incident(d,n)
    | incident(e,X1)
    | ~ incident(e,n)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_116]) ).

cnf(c_0_129,plain,
    incident(f,s),
    inference(spm,[status(thm)],[c_0_27,c_0_117]) ).

cnf(c_0_130,plain,
    ( point_equal(c,d)
    | incident(i,p)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_131,plain,
    ( goal
    | ~ incident(c,m) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_132,plain,
    ( point_equal(g,b)
    | incident(e,n)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_133,plain,
    ( point_equal(c,g)
    | incident(c,n)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_118,c_0_123]) ).

cnf(c_0_134,plain,
    incident(a,q),
    inference(spm,[status(thm)],[c_0_33,c_0_124]) ).

cnf(c_0_135,plain,
    incident(a,l),
    inference(spm,[status(thm)],[c_0_33,c_0_28]) ).

fof(c_0_136,plain,
    ( ~ incident(e,l)
    | goal ),
    inference(fof_nnf,[status(thm)],[goalel]) ).

cnf(c_0_137,plain,
    ( line_equal(r,X1)
    | line_equal(X2,o)
    | line_equal(X3,X4)
    | ~ colinear(X5,e,h,X4)
    | ~ colinear(X6,d,h,X3)
    | ~ colinear(d,e,X7,X8)
    | ~ colinear(X6,X7,g,X2)
    | ~ colinear(X5,X7,i,X1)
    | ~ colinear(X5,X6,c,X9) ),
    inference(spm,[status(thm)],[c_0_125,c_0_34]) ).

cnf(c_0_138,plain,
    ( ~ incident(i,p)
    | ~ incident(d,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_126]),c_0_127])]) ).

cnf(c_0_139,plain,
    ( incident(e,s)
    | incident(d,n)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_140,plain,
    ( incident(i,p)
    | incident(c,X1)
    | ~ incident(b,r)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_130]) ).

cnf(c_0_141,plain,
    ~ incident(c,m),
    inference(sr,[status(thm)],[c_0_131,c_0_45]) ).

cnf(c_0_142,plain,
    ( incident(e,n)
    | incident(g,X1)
    | ~ incident(c,n)
    | ~ incident(b,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_132]) ).

cnf(c_0_143,plain,
    ( incident(c,n)
    | incident(c,X1)
    | ~ incident(b,r)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_133]) ).

cnf(c_0_144,plain,
    ( line_equal(q,l)
    | point_equal(a,c)
    | ~ incident(c,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_134]),c_0_135])]) ).

cnf(c_0_145,plain,
    ( goal
    | ~ incident(e,l) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_146,plain,
    incident(e,q),
    inference(spm,[status(thm)],[c_0_27,c_0_124]) ).

cnf(c_0_147,plain,
    ( line_equal(p,l)
    | point_equal(b,c)
    | ~ incident(c,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_70]),c_0_32])]) ).

cnf(c_0_148,plain,
    ( line_equal(X1,q)
    | line_equal(X2,o)
    | line_equal(r,X3)
    | ~ colinear(X4,d,h,X1)
    | ~ colinear(d,e,X5,X6)
    | ~ colinear(a,X5,i,X3)
    | ~ colinear(a,X4,c,X7)
    | ~ colinear(X4,X5,g,X2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_124]) ).

cnf(c_0_149,plain,
    ( incident(e,s)
    | ~ incident(i,p)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_150,plain,
    ( incident(i,p)
    | ~ incident(b,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_106]),c_0_141]) ).

cnf(c_0_151,plain,
    ( incident(e,n)
    | ~ incident(c,n)
    | ~ incident(h,X1)
    | ~ incident(i,X1)
    | ~ incident(b,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_142]) ).

cnf(c_0_152,plain,
    ( incident(c,n)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_143,c_0_64]) ).

cnf(c_0_153,plain,
    ( point_equal(a,c)
    | incident(X1,l)
    | ~ incident(c,q)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_144]) ).

cnf(c_0_154,plain,
    ~ incident(e,l),
    inference(sr,[status(thm)],[c_0_145,c_0_45]) ).

cnf(c_0_155,plain,
    ( line_equal(X1,q)
    | point_equal(X2,e)
    | ~ incident(e,X1)
    | ~ incident(X2,q)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_146]) ).

cnf(c_0_156,plain,
    ( point_equal(b,c)
    | incident(X1,l)
    | ~ incident(c,p)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_147]) ).

cnf(c_0_157,plain,
    ( line_equal(r,p)
    | point_equal(c,d)
    | ~ incident(c,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_38]),c_0_48])]) ).

cnf(c_0_158,plain,
    ( line_equal(p,q)
    | line_equal(r,X1)
    | line_equal(X2,o)
    | ~ colinear(a,b,c,X3)
    | ~ colinear(d,e,X4,X5)
    | ~ colinear(a,X4,i,X1)
    | ~ colinear(b,X4,g,X2) ),
    inference(spm,[status(thm)],[c_0_148,c_0_53]) ).

cnf(c_0_159,plain,
    ( incident(e,s)
    | ~ incident(e,n)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_160,plain,
    ( incident(e,n)
    | ~ incident(b,r) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_150]),c_0_127]),c_0_70])]),c_0_152]) ).

cnf(c_0_161,plain,
    ( point_equal(a,c)
    | ~ incident(c,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_146]),c_0_154]) ).

cnf(c_0_162,plain,
    ( line_equal(o,q)
    | point_equal(c,e)
    | ~ incident(c,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_66]),c_0_99])]) ).

cnf(c_0_163,plain,
    ( point_equal(b,c)
    | ~ incident(c,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_60]),c_0_49]) ).

cnf(c_0_164,plain,
    ( point_equal(c,d)
    | incident(X1,p)
    | ~ incident(c,p)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_157]) ).

cnf(c_0_165,plain,
    ( line_equal(q,l)
    | point_equal(a,b)
    | ~ incident(b,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_134]),c_0_135])]) ).

cnf(c_0_166,plain,
    ( line_equal(n,p)
    | point_equal(f,b)
    | ~ incident(f,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_71]),c_0_62])]) ).

cnf(c_0_167,plain,
    ( line_equal(p,q)
    | line_equal(X1,o)
    | line_equal(r,X2)
    | ~ colinear(d,e,X3,X4)
    | ~ colinear(a,X3,i,X2)
    | ~ colinear(b,X3,g,X1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_28]) ).

cnf(c_0_168,plain,
    ( line_equal(X1,q)
    | point_equal(X2,a)
    | ~ incident(a,X1)
    | ~ incident(X2,q)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_134]) ).

cnf(c_0_169,plain,
    ( incident(e,s)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_170,plain,
    incident(a,s),
    inference(spm,[status(thm)],[c_0_33,c_0_117]) ).

cnf(c_0_171,plain,
    ( point_equal(c,a)
    | ~ incident(c,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_161]) ).

cnf(c_0_172,plain,
    ( point_equal(c,e)
    | incident(X1,q)
    | ~ incident(c,q)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_162]) ).

cnf(c_0_173,plain,
    ( point_equal(c,b)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_163]) ).

cnf(c_0_174,plain,
    ( point_equal(c,d)
    | incident(i,p)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_164,c_0_109]) ).

cnf(c_0_175,plain,
    ( point_equal(a,b)
    | incident(X1,l)
    | ~ incident(b,q)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_165]) ).

cnf(c_0_176,plain,
    ( point_equal(f,b)
    | incident(X1,p)
    | ~ incident(f,p)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_166]) ).

cnf(c_0_177,plain,
    ( line_equal(X1,r)
    | point_equal(X2,d)
    | ~ incident(d,X1)
    | ~ incident(X2,r)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_48]) ).

cnf(c_0_178,plain,
    ( line_equal(p,q)
    | line_equal(r,X1)
    | line_equal(X2,o)
    | ~ colinear(a,f,i,X1)
    | ~ colinear(b,f,g,X2) ),
    inference(spm,[status(thm)],[c_0_167,c_0_72]) ).

cnf(c_0_179,plain,
    ( line_equal(s,q)
    | point_equal(e,a)
    | ~ incident(b,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_146])]) ).

cnf(c_0_180,plain,
    ( point_equal(X1,a)
    | ~ point_equal(X1,c)
    | ~ incident(c,q) ),
    inference(spm,[status(thm)],[c_0_95,c_0_171]) ).

cnf(c_0_181,plain,
    ( point_equal(c,e)
    | incident(g,q)
    | ~ incident(c,q) ),
    inference(spm,[status(thm)],[c_0_172,c_0_76]) ).

cnf(c_0_182,plain,
    ( point_equal(X1,b)
    | ~ point_equal(X1,c)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_95,c_0_173]) ).

cnf(c_0_183,plain,
    ( point_equal(d,c)
    | incident(i,p)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_174]) ).

cnf(c_0_184,plain,
    ( point_equal(a,b)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_146]),c_0_154]) ).

cnf(c_0_185,plain,
    ( line_equal(X1,s)
    | point_equal(X2,f)
    | ~ incident(f,X1)
    | ~ incident(X2,s)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_129]) ).

cnf(c_0_186,plain,
    incident(i,s),
    inference(spm,[status(thm)],[c_0_35,c_0_117]) ).

cnf(c_0_187,plain,
    ( point_equal(f,b)
    | incident(g,p)
    | ~ incident(f,p) ),
    inference(spm,[status(thm)],[c_0_176,c_0_64]) ).

cnf(c_0_188,plain,
    ( line_equal(m,r)
    | point_equal(e,d)
    | ~ incident(e,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_82]),c_0_106])]) ).

cnf(c_0_189,plain,
    ( line_equal(r,s)
    | line_equal(p,q)
    | line_equal(X1,o)
    | ~ colinear(b,f,g,X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_117]) ).

fof(c_0_190,plain,
    ! [X41,X42] :
      ( ~ line_equal(X41,X42)
      | line_equal(X42,X41) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_line_equal])]) ).

cnf(c_0_191,plain,
    ( point_equal(e,a)
    | incident(X1,q)
    | ~ incident(b,r)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_179]) ).

cnf(c_0_192,plain,
    ( point_equal(a,X1)
    | ~ point_equal(X1,c)
    | ~ incident(c,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_180]) ).

cnf(c_0_193,plain,
    ( point_equal(e,c)
    | incident(g,q)
    | ~ incident(c,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_181]) ).

fof(c_0_194,plain,
    ( ~ incident(a,m)
    | goal ),
    inference(fof_nnf,[status(thm)],[goalam]) ).

cnf(c_0_195,plain,
    ( line_equal(s,q)
    | point_equal(a,e)
    | ~ incident(e,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_170]),c_0_134])]) ).

cnf(c_0_196,plain,
    ( point_equal(d,b)
    | incident(i,p)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_197,plain,
    incident(h,q),
    inference(spm,[status(thm)],[c_0_35,c_0_124]) ).

cnf(c_0_198,plain,
    ( point_equal(b,a)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_184]) ).

cnf(c_0_199,plain,
    ( line_equal(r,s)
    | point_equal(i,f)
    | ~ incident(f,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_109]),c_0_186])]) ).

cnf(c_0_200,plain,
    ( point_equal(b,f)
    | incident(g,p)
    | ~ incident(f,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_187]) ).

cnf(c_0_201,plain,
    ( point_equal(e,d)
    | incident(X1,r)
    | ~ incident(e,r)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_188]) ).

cnf(c_0_202,plain,
    ( line_equal(n,o)
    | line_equal(p,q)
    | line_equal(r,s) ),
    inference(spm,[status(thm)],[c_0_189,c_0_54]) ).

cnf(c_0_203,plain,
    ( line_equal(X2,X1)
    | ~ line_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

cnf(c_0_204,plain,
    ( point_equal(e,a)
    | incident(i,q)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_191,c_0_186]) ).

cnf(c_0_205,plain,
    ( point_equal(a,e)
    | incident(g,q)
    | ~ incident(c,q) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_206,plain,
    ( goal
    | ~ incident(a,m) ),
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_207,plain,
    ( point_equal(a,e)
    | incident(X1,q)
    | ~ incident(e,s)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_195]) ).

cnf(c_0_208,plain,
    ( point_equal(b,d)
    | incident(i,p)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_196]) ).

cnf(c_0_209,plain,
    ( line_equal(X1,l)
    | point_equal(X2,a)
    | ~ incident(a,X1)
    | ~ incident(X2,l)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_135]) ).

cnf(c_0_210,plain,
    ( line_equal(X1,q)
    | point_equal(X2,h)
    | ~ incident(h,X1)
    | ~ incident(X2,q)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_197]) ).

cnf(c_0_211,plain,
    ( incident(b,X1)
    | ~ incident(b,q)
    | ~ incident(a,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_198]) ).

cnf(c_0_212,plain,
    ( line_equal(s,l)
    | point_equal(a,c)
    | ~ incident(c,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_170]),c_0_135])]) ).

cnf(c_0_213,plain,
    ( line_equal(X1,r)
    | point_equal(X2,c)
    | ~ incident(c,X1)
    | ~ incident(X2,r)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_38]) ).

cnf(c_0_214,plain,
    ( point_equal(i,f)
    | incident(X1,s)
    | ~ incident(f,r)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_199]) ).

cnf(c_0_215,plain,
    ( incident(g,p)
    | incident(b,X1)
    | ~ incident(f,p)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_200]) ).

cnf(c_0_216,plain,
    ( point_equal(e,d)
    | incident(f,r)
    | ~ incident(e,r) ),
    inference(spm,[status(thm)],[c_0_201,c_0_83]) ).

cnf(c_0_217,plain,
    ( line_equal(m,p)
    | point_equal(e,d)
    | ~ incident(e,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_82]),c_0_106])]) ).

cnf(c_0_218,plain,
    ( line_equal(p,q)
    | line_equal(n,o)
    | incident(X1,s)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_202]) ).

cnf(c_0_219,plain,
    ( line_equal(p,q)
    | line_equal(n,o)
    | line_equal(s,r) ),
    inference(spm,[status(thm)],[c_0_203,c_0_202]) ).

cnf(c_0_220,plain,
    ( point_equal(a,e)
    | incident(i,q)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_204]) ).

cnf(c_0_221,plain,
    ( incident(g,q)
    | incident(a,X1)
    | ~ incident(c,q)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_205]) ).

cnf(c_0_222,plain,
    ~ incident(a,m),
    inference(sr,[status(thm)],[c_0_206,c_0_45]) ).

cnf(c_0_223,plain,
    ( point_equal(a,e)
    | incident(i,q)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_207,c_0_186]) ).

cnf(c_0_224,plain,
    ( incident(i,p)
    | incident(b,X1)
    | ~ incident(c,p)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_208]) ).

cnf(c_0_225,plain,
    ( incident(e,n)
    | incident(g,X1)
    | ~ incident(c,n)
    | ~ incident(c,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_122]) ).

cnf(c_0_226,plain,
    ( incident(c,X1)
    | ~ incident(b,r)
    | ~ incident(b,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_52]) ).

cnf(c_0_227,plain,
    ( line_equal(p,l)
    | point_equal(b,a)
    | ~ incident(a,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_70]),c_0_32])]) ).

cnf(c_0_228,plain,
    ( line_equal(s,q)
    | point_equal(a,h)
    | ~ incident(h,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_170]),c_0_134])]) ).

cnf(c_0_229,plain,
    ( incident(b,s)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_211,c_0_170]) ).

cnf(c_0_230,plain,
    ( point_equal(a,c)
    | incident(X1,l)
    | ~ incident(c,s)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_212]) ).

cnf(c_0_231,plain,
    ( line_equal(o,r)
    | point_equal(e,c)
    | ~ incident(e,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_99]),c_0_66])]) ).

cnf(c_0_232,plain,
    ( point_equal(i,f)
    | incident(c,s)
    | ~ incident(f,r) ),
    inference(spm,[status(thm)],[c_0_214,c_0_38]) ).

cnf(c_0_233,plain,
    ( incident(g,p)
    | ~ incident(f,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_83]),c_0_115]) ).

cnf(c_0_234,plain,
    ( point_equal(d,e)
    | incident(f,r)
    | ~ incident(e,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_216]) ).

cnf(c_0_235,plain,
    ( point_equal(e,d)
    | incident(X1,p)
    | ~ incident(e,p)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_217]) ).

cnf(c_0_236,plain,
    ( line_equal(n,o)
    | line_equal(p,q)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_218,c_0_38]) ).

cnf(c_0_237,plain,
    ( line_equal(s,r)
    | line_equal(p,q)
    | line_equal(o,n) ),
    inference(spm,[status(thm)],[c_0_203,c_0_219]) ).

cnf(c_0_238,plain,
    ( incident(i,q)
    | incident(a,X1)
    | ~ incident(b,r)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_220]) ).

cnf(c_0_239,plain,
    ( incident(g,q)
    | ~ incident(c,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_82]),c_0_222]) ).

cnf(c_0_240,plain,
    ( incident(i,q)
    | incident(a,X1)
    | ~ incident(e,s)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_223]) ).

cnf(c_0_241,plain,
    ( incident(i,p)
    | ~ incident(c,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_106]),c_0_115]) ).

cnf(c_0_242,plain,
    ( incident(e,n)
    | ~ incident(c,n)
    | ~ incident(h,X1)
    | ~ incident(i,X1)
    | ~ incident(c,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_225]) ).

cnf(c_0_243,plain,
    ( point_equal(d,b)
    | incident(c,p)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_108,c_0_226]) ).

cnf(c_0_244,plain,
    ( point_equal(b,a)
    | incident(X1,l)
    | ~ incident(a,p)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_227]) ).

cnf(c_0_245,plain,
    ( point_equal(a,h)
    | incident(X1,q)
    | ~ incident(h,s)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_228]) ).

cnf(c_0_246,plain,
    ( line_equal(s,n)
    | point_equal(b,f)
    | ~ incident(b,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_229]),c_0_129]),c_0_62])]) ).

cnf(c_0_247,plain,
    ( point_equal(a,c)
    | ~ incident(c,s) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_129]),c_0_87]) ).

cnf(c_0_248,plain,
    ( point_equal(e,c)
    | incident(X1,r)
    | ~ incident(e,r)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_231]) ).

cnf(c_0_249,plain,
    ( point_equal(f,i)
    | incident(c,s)
    | ~ incident(f,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_232]) ).

cnf(c_0_250,plain,
    ( ~ incident(i,p)
    | ~ incident(f,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_233]),c_0_127])]) ).

cnf(c_0_251,plain,
    ( incident(f,r)
    | incident(d,X1)
    | ~ incident(e,r)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_234]) ).

cnf(c_0_252,plain,
    ( point_equal(e,d)
    | incident(f,p)
    | ~ incident(e,p) ),
    inference(spm,[status(thm)],[c_0_235,c_0_83]) ).

cnf(c_0_253,plain,
    ( line_equal(p,q)
    | line_equal(o,n)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_203,c_0_236]) ).

cnf(c_0_254,plain,
    ( point_equal(X1,c)
    | ~ point_equal(X1,b)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_95,c_0_163]) ).

cnf(c_0_255,plain,
    ( line_equal(p,q)
    | line_equal(s,r)
    | incident(X1,n)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_237]) ).

cnf(c_0_256,plain,
    ( line_equal(p,q)
    | point_equal(i,h)
    | ~ incident(i,q)
    | ~ incident(b,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_150]),c_0_127])]) ).

cnf(c_0_257,plain,
    ( incident(i,q)
    | ~ incident(b,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_82]),c_0_222]) ).

cnf(c_0_258,plain,
    ( ~ incident(i,q)
    | ~ incident(c,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_239]),c_0_197])]) ).

cnf(c_0_259,plain,
    ( incident(i,q)
    | ~ incident(e,s) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_82]),c_0_222]) ).

cnf(c_0_260,plain,
    ( incident(e,s)
    | ~ incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_149,c_0_241]) ).

cnf(c_0_261,plain,
    ( incident(e,n)
    | ~ incident(c,n)
    | ~ incident(c,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_241]),c_0_127])]) ).

cnf(c_0_262,plain,
    ( point_equal(b,d)
    | incident(c,p)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_243]) ).

cnf(c_0_263,plain,
    ( line_equal(o,q)
    | point_equal(e,a)
    | ~ incident(a,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_99]),c_0_146])]) ).

cnf(c_0_264,plain,
    ( point_equal(b,a)
    | ~ incident(a,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_60]),c_0_49]) ).

cnf(c_0_265,plain,
    ( point_equal(a,h)
    | incident(i,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_245,c_0_186]) ).

cnf(c_0_266,plain,
    ( line_equal(n,s)
    | point_equal(b,f)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_246]) ).

cnf(c_0_267,plain,
    ( point_equal(c,a)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_247]) ).

cnf(c_0_268,plain,
    ( line_equal(o,r)
    | point_equal(g,c)
    | ~ incident(g,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_76]),c_0_66])]) ).

cnf(c_0_269,plain,
    ( point_equal(e,c)
    | incident(g,r)
    | ~ incident(e,r) ),
    inference(spm,[status(thm)],[c_0_248,c_0_76]) ).

cnf(c_0_270,plain,
    ( incident(c,s)
    | incident(f,X1)
    | ~ incident(f,r)
    | ~ incident(i,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_249]) ).

cnf(c_0_271,plain,
    ( ~ incident(f,p)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_250,c_0_241]) ).

cnf(c_0_272,plain,
    ( incident(f,r)
    | ~ incident(i,p)
    | ~ incident(e,r)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_138,c_0_251]) ).

cnf(c_0_273,plain,
    ( incident(f,p)
    | incident(e,X1)
    | ~ incident(e,p)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_252]) ).

cnf(c_0_274,plain,
    ( line_equal(p,q)
    | incident(c,s)
    | incident(X1,n)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_253]) ).

cnf(c_0_275,plain,
    ( point_equal(c,X1)
    | ~ point_equal(X1,b)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_254]) ).

cnf(c_0_276,plain,
    ( line_equal(s,r)
    | line_equal(p,q)
    | incident(c,n) ),
    inference(spm,[status(thm)],[c_0_255,c_0_66]) ).

fof(c_0_277,plain,
    ! [X32,X33] :
      ( ~ incident(X32,X33)
      | point_equal(X32,X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_point_equal])]) ).

cnf(c_0_278,plain,
    ( line_equal(q,p)
    | point_equal(i,h)
    | ~ incident(b,r) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_256]),c_0_257]) ).

cnf(c_0_279,plain,
    ( ~ incident(c,q)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_258,c_0_259]) ).

cnf(c_0_280,plain,
    ( incident(e,s)
    | ~ incident(c,p)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_281,plain,
    ( incident(c,p)
    | incident(b,X1)
    | ~ incident(b,r)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_262]) ).

cnf(c_0_282,plain,
    ( point_equal(e,a)
    | incident(X1,q)
    | ~ incident(a,o)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_263]) ).

cnf(c_0_283,plain,
    ( point_equal(a,b)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_264]) ).

cnf(c_0_284,plain,
    ( incident(i,q)
    | incident(a,X1)
    | ~ incident(h,s)
    | ~ incident(h,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_265]) ).

cnf(c_0_285,plain,
    ( point_equal(b,f)
    | incident(X1,s)
    | ~ incident(b,q)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_266]) ).

cnf(c_0_286,plain,
    ( point_equal(X1,a)
    | ~ point_equal(X1,c)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_95,c_0_267]) ).

cnf(c_0_287,plain,
    ( point_equal(g,c)
    | incident(X1,r)
    | ~ incident(g,r)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_268]) ).

cnf(c_0_288,plain,
    ( incident(a,X1)
    | ~ incident(c,s)
    | ~ incident(c,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_247]) ).

cnf(c_0_289,plain,
    ( point_equal(c,e)
    | incident(g,r)
    | ~ incident(e,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_269]) ).

cnf(c_0_290,plain,
    ( incident(c,s)
    | ~ incident(f,r)
    | ~ incident(c,p) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_241]),c_0_271]) ).

cnf(c_0_291,plain,
    ( incident(f,r)
    | ~ incident(e,r)
    | ~ incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_272,c_0_241]) ).

cnf(c_0_292,plain,
    ( incident(e,r)
    | incident(f,p)
    | ~ incident(e,p) ),
    inference(spm,[status(thm)],[c_0_273,c_0_48]) ).

cnf(c_0_293,plain,
    ( line_equal(p,q)
    | incident(e,n)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_274,c_0_99]) ).

cnf(c_0_294,plain,
    ( point_equal(c,a)
    | ~ incident(c,p)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_275,c_0_184]) ).

cnf(c_0_295,plain,
    ( line_equal(s,r)
    | line_equal(q,p)
    | incident(c,n) ),
    inference(spm,[status(thm)],[c_0_203,c_0_276]) ).

fof(c_0_296,plain,
    ! [X74,X75] :
      ( ( incident(X74,esk2_2(X74,X75))
        | ~ point_equal(X74,X74)
        | ~ point_equal(X75,X75) )
      & ( incident(X75,esk2_2(X74,X75))
        | ~ point_equal(X74,X74)
        | ~ point_equal(X75,X75) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[line])])])]) ).

cnf(c_0_297,plain,
    ( point_equal(X1,X1)
    | ~ incident(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_277]) ).

cnf(c_0_298,plain,
    ( line_equal(p,q)
    | point_equal(i,h)
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_203,c_0_278]) ).

cnf(c_0_299,plain,
    ( ~ incident(c,q)
    | ~ incident(c,p)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_300,plain,
    ( incident(c,p)
    | ~ incident(b,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_106]),c_0_115]) ).

cnf(c_0_301,plain,
    ( point_equal(e,a)
    | incident(g,q)
    | ~ incident(a,o) ),
    inference(spm,[status(thm)],[c_0_282,c_0_76]) ).

cnf(c_0_302,plain,
    ( point_equal(X1,b)
    | ~ point_equal(X1,a)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_95,c_0_283]) ).

cnf(c_0_303,plain,
    ( point_equal(h,a)
    | incident(i,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_265]) ).

cnf(c_0_304,plain,
    ( incident(a,p)
    | incident(i,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_284,c_0_127]) ).

cnf(c_0_305,plain,
    ( point_equal(b,f)
    | incident(g,s)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_285,c_0_64]) ).

cnf(c_0_306,plain,
    ( point_equal(a,X1)
    | ~ point_equal(X1,c)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_286]) ).

cnf(c_0_307,plain,
    ( point_equal(g,c)
    | incident(a,r)
    | ~ incident(g,r)
    | ~ incident(c,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_66])]) ).

cnf(c_0_308,plain,
    ( incident(g,r)
    | incident(c,X1)
    | ~ incident(e,r)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_289]) ).

cnf(c_0_309,plain,
    ( incident(c,s)
    | ~ incident(c,p)
    | ~ incident(e,r)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_310,plain,
    ( incident(e,r)
    | ~ incident(c,p)
    | ~ incident(e,p) ),
    inference(spm,[status(thm)],[c_0_271,c_0_292]) ).

cnf(c_0_311,plain,
    ( incident(c,s)
    | incident(e,n)
    | incident(X1,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_293]) ).

cnf(c_0_312,plain,
    ( incident(c,X1)
    | ~ incident(c,p)
    | ~ incident(b,q)
    | ~ incident(a,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_294]) ).

cnf(c_0_313,plain,
    ( line_equal(q,p)
    | incident(c,n)
    | incident(X1,r)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_295]) ).

cnf(c_0_314,plain,
    ( incident(X1,esk2_2(X2,X1))
    | ~ point_equal(X2,X2)
    | ~ point_equal(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_315,plain,
    point_equal(h,h),
    inference(spm,[status(thm)],[c_0_297,c_0_127]) ).

cnf(c_0_316,plain,
    ( point_equal(i,h)
    | incident(X1,q)
    | ~ incident(b,r)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_298]) ).

cnf(c_0_317,plain,
    ( ~ incident(c,q)
    | ~ incident(b,r) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_226]),c_0_62])]),c_0_300]) ).

cnf(c_0_318,plain,
    ( line_equal(p,q)
    | incident(c,n)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_274,c_0_66]) ).

cnf(c_0_319,plain,
    ( point_equal(a,e)
    | incident(g,q)
    | ~ incident(a,o) ),
    inference(spm,[status(thm)],[c_0_51,c_0_301]) ).

cnf(c_0_320,plain,
    ( point_equal(h,b)
    | incident(i,q)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]) ).

cnf(c_0_321,plain,
    ( incident(g,s)
    | incident(b,X1)
    | ~ incident(b,q)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_305]) ).

cnf(c_0_322,plain,
    ( incident(a,r)
    | ~ incident(c,s)
    | ~ incident(g,r) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_55]) ).

cnf(c_0_323,plain,
    ( incident(g,r)
    | ~ incident(e,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_82]),c_0_141]) ).

cnf(c_0_324,plain,
    ( incident(c,s)
    | ~ incident(c,p)
    | ~ incident(e,n)
    | ~ incident(e,p) ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_325,plain,
    ( incident(b,q)
    | incident(e,n)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_311,c_0_70]) ).

cnf(c_0_326,plain,
    ( incident(c,s)
    | ~ incident(c,p)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_312,c_0_170]) ).

cnf(c_0_327,plain,
    ( line_equal(q,p)
    | incident(a,r)
    | incident(c,n) ),
    inference(spm,[status(thm)],[c_0_313,c_0_170]) ).

cnf(c_0_328,plain,
    ( incident(X1,esk2_2(h,X1))
    | ~ point_equal(X1,X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_329,plain,
    point_equal(g,g),
    inference(spm,[status(thm)],[c_0_297,c_0_64]) ).

cnf(c_0_330,plain,
    ( point_equal(i,h)
    | ~ incident(b,r) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_226]),c_0_70])]),c_0_317]) ).

cnf(c_0_331,plain,
    ( line_equal(q,p)
    | incident(c,s)
    | incident(c,n) ),
    inference(spm,[status(thm)],[c_0_203,c_0_318]) ).

cnf(c_0_332,plain,
    ( incident(g,q)
    | incident(a,X1)
    | ~ incident(a,o)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_319]) ).

cnf(c_0_333,plain,
    ( point_equal(b,h)
    | incident(i,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_320]) ).

cnf(c_0_334,plain,
    ( incident(g,s)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_83]),c_0_115]) ).

cnf(c_0_335,plain,
    ( point_equal(a,b)
    | ~ incident(c,p)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_182,c_0_247]) ).

cnf(c_0_336,plain,
    ( incident(a,r)
    | ~ incident(c,s)
    | ~ incident(e,r) ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_337,plain,
    ( incident(c,s)
    | ~ incident(c,p)
    | ~ incident(e,p) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).

cnf(c_0_338,plain,
    ( incident(c,n)
    | incident(a,r)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_327]) ).

cnf(c_0_339,plain,
    ( ~ incident(h,esk2_2(h,g))
    | ~ incident(i,esk2_2(h,g)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_328]),c_0_329])]) ).

cnf(c_0_340,plain,
    ( incident(i,X1)
    | ~ incident(b,r)
    | ~ incident(h,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_330]) ).

cnf(c_0_341,plain,
    ( incident(X1,esk2_2(X1,X2))
    | ~ point_equal(X1,X1)
    | ~ point_equal(X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_342,plain,
    ( incident(c,n)
    | incident(c,s)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_331]) ).

cnf(c_0_343,plain,
    ( incident(g,q)
    | ~ incident(a,o) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_82]),c_0_222]) ).

cnf(c_0_344,plain,
    ( line_equal(o,l)
    | point_equal(c,b)
    | ~ incident(b,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_66]),c_0_39])]) ).

cnf(c_0_345,plain,
    ( incident(i,q)
    | incident(b,X1)
    | ~ incident(h,s)
    | ~ incident(h,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_333]) ).

cnf(c_0_346,plain,
    ( ~ incident(h,s)
    | ~ incident(b,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_334]),c_0_186])]) ).

cnf(c_0_347,plain,
    ( point_equal(b,a)
    | ~ incident(c,p)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_335]) ).

cnf(c_0_348,plain,
    ( incident(a,r)
    | ~ incident(c,p)
    | ~ incident(e,p) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_310]),c_0_337]) ).

cnf(c_0_349,plain,
    ( incident(e,p)
    | incident(a,r)
    | incident(c,n) ),
    inference(spm,[status(thm)],[c_0_338,c_0_146]) ).

cnf(c_0_350,plain,
    ( ~ incident(h,esk2_2(h,g))
    | ~ incident(b,r) ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_351,plain,
    ( incident(X1,esk2_2(X1,g))
    | ~ point_equal(X1,X1) ),
    inference(spm,[status(thm)],[c_0_341,c_0_329]) ).

cnf(c_0_352,plain,
    ( incident(e,p)
    | incident(c,s)
    | incident(c,n) ),
    inference(spm,[status(thm)],[c_0_342,c_0_146]) ).

cnf(c_0_353,plain,
    ( ~ incident(i,q)
    | ~ incident(a,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_343]),c_0_197])]) ).

cnf(c_0_354,plain,
    ( point_equal(c,b)
    | incident(X1,l)
    | ~ incident(b,o)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_344]) ).

cnf(c_0_355,plain,
    ( line_equal(X1,s)
    | point_equal(X2,a)
    | ~ incident(a,X1)
    | ~ incident(X2,s)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_170]) ).

cnf(c_0_356,plain,
    ( incident(i,q)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_197]),c_0_346]) ).

cnf(c_0_357,plain,
    ( incident(b,X1)
    | ~ incident(c,p)
    | ~ incident(c,s)
    | ~ incident(a,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_347]) ).

cnf(c_0_358,plain,
    ( incident(c,n)
    | incident(a,r)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_359,plain,
    ~ incident(b,r),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_315])]) ).

cnf(c_0_360,plain,
    ( incident(c,n)
    | incident(c,s)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_337,c_0_352]) ).

cnf(c_0_361,plain,
    ( ~ incident(a,o)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_353,c_0_259]) ).

cnf(c_0_362,plain,
    ( point_equal(c,b)
    | ~ incident(b,o) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_99]),c_0_154]) ).

cnf(c_0_363,plain,
    ( line_equal(q,s)
    | point_equal(i,a)
    | ~ incident(h,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_134]),c_0_186])]) ).

cnf(c_0_364,plain,
    ( line_equal(X1,o)
    | point_equal(X2,g)
    | ~ incident(g,X1)
    | ~ incident(X2,o)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_76]) ).

cnf(c_0_365,plain,
    ( incident(c,n)
    | ~ incident(c,p) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]),c_0_360]) ).

cnf(c_0_366,plain,
    ( line_equal(s,r)
    | line_equal(p,q)
    | incident(X1,o)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_219]) ).

cnf(c_0_367,plain,
    ( ~ incident(a,o)
    | ~ incident(c,p)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_361,c_0_280]) ).

cnf(c_0_368,plain,
    ( incident(c,s)
    | incident(c,n)
    | incident(X1,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_318]) ).

cnf(c_0_369,plain,
    ( incident(c,X1)
    | ~ incident(b,o)
    | ~ incident(b,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_362]) ).

cnf(c_0_370,plain,
    ( point_equal(a,h)
    | incident(f,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_245,c_0_129]) ).

cnf(c_0_371,plain,
    ( line_equal(s,q)
    | point_equal(i,a)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_203,c_0_363]) ).

cnf(c_0_372,plain,
    ( line_equal(n,o)
    | point_equal(c,g)
    | ~ incident(c,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_64]),c_0_66])]) ).

cnf(c_0_373,plain,
    ( line_equal(p,q)
    | line_equal(s,r)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_366,c_0_62]) ).

cnf(c_0_374,plain,
    ( ~ incident(c,p)
    | ~ incident(c,n)
    | ~ incident(c,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_288]),c_0_66])]) ).

cnf(c_0_375,plain,
    ( incident(b,X1)
    | ~ incident(c,n)
    | ~ incident(c,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_97]) ).

cnf(c_0_376,plain,
    ( incident(b,q)
    | incident(c,n)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_368,c_0_70]) ).

cnf(c_0_377,plain,
    ( ~ incident(c,q)
    | ~ incident(c,p)
    | ~ incident(b,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_369]),c_0_62])]) ).

cnf(c_0_378,plain,
    ( line_equal(s,q)
    | point_equal(f,a)
    | ~ incident(f,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_129]),c_0_170])]) ).

cnf(c_0_379,plain,
    ( point_equal(X1,h)
    | incident(f,q)
    | ~ point_equal(X1,a)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_95,c_0_370]) ).

cnf(c_0_380,plain,
    ( point_equal(i,a)
    | incident(X1,q)
    | ~ incident(h,s)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_371]) ).

cnf(c_0_381,plain,
    point_equal(i,i),
    inference(spm,[status(thm)],[c_0_297,c_0_109]) ).

cnf(c_0_382,plain,
    ( line_equal(o,n)
    | point_equal(c,g)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_203,c_0_372]) ).

cnf(c_0_383,plain,
    ( line_equal(s,r)
    | line_equal(q,p)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_203,c_0_373]) ).

cnf(c_0_384,plain,
    ( ~ incident(c,p)
    | ~ incident(c,s)
    | ~ incident(b,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_369]),c_0_62])]) ).

cnf(c_0_385,plain,
    ( incident(c,s)
    | incident(b,q)
    | incident(b,X1)
    | ~ incident(c,X1) ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_386,plain,
    ( ~ incident(c,q)
    | ~ incident(b,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_369]),c_0_70])]) ).

cnf(c_0_387,plain,
    ( point_equal(f,a)
    | incident(X1,q)
    | ~ incident(f,q)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_378]) ).

cnf(c_0_388,plain,
    ( point_equal(h,X1)
    | incident(f,q)
    | ~ point_equal(X1,a)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_379]) ).

cnf(c_0_389,plain,
    ( point_equal(i,a)
    | incident(f,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_380,c_0_129]) ).

cnf(c_0_390,plain,
    ( incident(X1,esk2_2(X1,i))
    | ~ point_equal(X1,X1) ),
    inference(spm,[status(thm)],[c_0_341,c_0_381]) ).

cnf(c_0_391,plain,
    ( point_equal(c,g)
    | incident(X1,n)
    | ~ incident(c,p)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_382]) ).

cnf(c_0_392,plain,
    ( line_equal(q,p)
    | incident(b,o)
    | incident(X1,r)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_383]) ).

cnf(c_0_393,plain,
    ( ~ incident(c,s)
    | ~ incident(b,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_369]),c_0_70])]) ).

cnf(c_0_394,plain,
    ( incident(b,q)
    | incident(c,s) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_38]),c_0_359]) ).

cnf(c_0_395,plain,
    ( ~ incident(b,o)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_386,c_0_369]) ).

cnf(c_0_396,plain,
    ( point_equal(f,a)
    | incident(i,q)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_387,c_0_186]) ).

cnf(c_0_397,plain,
    ( point_equal(h,i)
    | incident(f,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_398,plain,
    ( ~ incident(h,esk2_2(g,i))
    | ~ incident(i,esk2_2(g,i)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_390]),c_0_329])]) ).

cnf(c_0_399,plain,
    ( incident(X1,esk2_2(g,X1))
    | ~ point_equal(X1,X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_329]) ).

cnf(c_0_400,plain,
    ( point_equal(c,g)
    | incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_391,c_0_99]) ).

cnf(c_0_401,plain,
    ( line_equal(q,p)
    | incident(f,r)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_392,c_0_129]) ).

cnf(c_0_402,plain,
    ~ incident(b,o),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_395]) ).

cnf(c_0_403,plain,
    ( point_equal(a,f)
    | incident(i,q)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_396]) ).

cnf(c_0_404,plain,
    ( incident(f,q)
    | incident(h,X1)
    | ~ incident(h,s)
    | ~ incident(i,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_397]) ).

cnf(c_0_405,plain,
    ~ incident(h,esk2_2(g,i)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_381])]) ).

cnf(c_0_406,plain,
    ( point_equal(g,c)
    | incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_400]) ).

cnf(c_0_407,plain,
    ( line_equal(p,q)
    | incident(c,s)
    | incident(X1,o)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_236]) ).

cnf(c_0_408,plain,
    ( point_equal(a,e)
    | incident(f,q)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_207,c_0_129]) ).

cnf(c_0_409,plain,
    ( line_equal(q,p)
    | incident(f,r) ),
    inference(sr,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_410,plain,
    ( incident(i,q)
    | incident(a,X1)
    | ~ incident(f,q)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_403]) ).

cnf(c_0_411,plain,
    ( line_equal(p,q)
    | incident(b,o)
    | incident(f,r) ),
    inference(spm,[status(thm)],[c_0_203,c_0_401]) ).

cnf(c_0_412,plain,
    ( line_equal(X1,m)
    | point_equal(X2,e)
    | ~ incident(e,X1)
    | ~ incident(X2,m)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_82]) ).

cnf(c_0_413,plain,
    ( incident(f,q)
    | ~ incident(h,s) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_399]),c_0_381])]),c_0_405]) ).

cnf(c_0_414,plain,
    ( line_equal(s,r)
    | incident(b,o)
    | incident(X1,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_373]) ).

cnf(c_0_415,plain,
    ( point_equal(g,b)
    | incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_182,c_0_406]) ).

cnf(c_0_416,plain,
    ( point_equal(d,e)
    | incident(f,p)
    | ~ incident(e,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_252]) ).

cnf(c_0_417,plain,
    ( line_equal(p,q)
    | incident(b,o)
    | incident(c,s) ),
    inference(spm,[status(thm)],[c_0_407,c_0_62]) ).

cnf(c_0_418,plain,
    ( incident(f,q)
    | incident(a,X1)
    | ~ incident(e,s)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_408]) ).

cnf(c_0_419,plain,
    ( incident(f,r)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_409]) ).

cnf(c_0_420,plain,
    ( incident(i,q)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_83]),c_0_222]) ).

cnf(c_0_421,plain,
    ( line_equal(p,q)
    | incident(f,r) ),
    inference(sr,[status(thm)],[c_0_411,c_0_402]) ).

cnf(c_0_422,plain,
    ( line_equal(q,m)
    | point_equal(f,e)
    | ~ incident(h,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_146]),c_0_83])]) ).

cnf(c_0_423,plain,
    ( line_equal(s,r)
    | incident(b,q)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_414,c_0_70]) ).

cnf(c_0_424,plain,
    ( point_equal(b,g)
    | incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_415]) ).

cnf(c_0_425,plain,
    ( incident(f,p)
    | incident(d,X1)
    | ~ incident(e,p)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_416]) ).

cnf(c_0_426,plain,
    ( line_equal(q,p)
    | incident(c,s)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_203,c_0_417]) ).

cnf(c_0_427,plain,
    ( line_equal(X1,s)
    | point_equal(X2,i)
    | ~ incident(i,X1)
    | ~ incident(X2,s)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_186]) ).

cnf(c_0_428,plain,
    ( incident(f,q)
    | ~ incident(e,s) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_82]),c_0_222]) ).

cnf(c_0_429,plain,
    ( incident(i,p)
    | incident(f,r)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_430,plain,
    ( incident(f,r)
    | incident(X1,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_421]) ).

cnf(c_0_431,plain,
    ( line_equal(m,q)
    | point_equal(f,e)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_203,c_0_422]) ).

cnf(c_0_432,plain,
    ( line_equal(r,s)
    | incident(b,o)
    | incident(b,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_423]) ).

cnf(c_0_433,plain,
    ( incident(e,n)
    | incident(b,X1)
    | ~ incident(c,p)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_424]) ).

cnf(c_0_434,plain,
    ( ~ incident(i,p)
    | ~ incident(e,p)
    | ~ incident(e,n) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_425]),c_0_250]) ).

cnf(c_0_435,plain,
    ( incident(b,o)
    | incident(c,s)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_426]) ).

fof(c_0_436,plain,
    ! [X43,X44,X45] :
      ( ~ line_equal(X43,X44)
      | ~ line_equal(X44,X45)
      | line_equal(X43,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_line_equal])]) ).

cnf(c_0_437,plain,
    ( line_equal(q,s)
    | point_equal(f,i)
    | ~ incident(e,s) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_129])]),c_0_259]) ).

cnf(c_0_438,plain,
    ( incident(f,r)
    | ~ incident(f,p) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_429]),c_0_430]) ).

cnf(c_0_439,plain,
    ( line_equal(n,o)
    | line_equal(p,q)
    | incident(d,s) ),
    inference(spm,[status(thm)],[c_0_218,c_0_48]) ).

cnf(c_0_440,plain,
    ( line_equal(p,q)
    | point_equal(d,h)
    | ~ incident(d,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_60]),c_0_127])]) ).

cnf(c_0_441,plain,
    ( point_equal(f,e)
    | incident(X1,q)
    | ~ incident(h,s)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_431]) ).

cnf(c_0_442,plain,
    ( line_equal(r,s)
    | incident(b,q) ),
    inference(sr,[status(thm)],[c_0_432,c_0_402]) ).

cnf(c_0_443,plain,
    ( incident(e,n)
    | ~ incident(c,p)
    | ~ incident(e,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_323]),c_0_359]) ).

cnf(c_0_444,plain,
    ( ~ incident(e,p)
    | ~ incident(e,n)
    | ~ incident(c,p) ),
    inference(spm,[status(thm)],[c_0_434,c_0_241]) ).

cnf(c_0_445,plain,
    ( incident(e,p)
    | incident(c,s)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_435,c_0_146]) ).

cnf(c_0_446,plain,
    ( line_equal(m,r)
    | point_equal(f,d)
    | ~ incident(f,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_83]),c_0_106])]) ).

cnf(c_0_447,plain,
    ( line_equal(X1,X3)
    | ~ line_equal(X1,X2)
    | ~ line_equal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_448,plain,
    ( line_equal(s,q)
    | point_equal(f,i)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_203,c_0_437]) ).

cnf(c_0_449,plain,
    ( incident(f,r)
    | ~ incident(e,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_428]),c_0_438]) ).

cnf(c_0_450,plain,
    ( line_equal(p,q)
    | incident(d,s)
    | incident(X1,o)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_439]) ).

cnf(c_0_451,plain,
    ( point_equal(d,h)
    | incident(X1,q)
    | ~ incident(d,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_440]) ).

cnf(c_0_452,plain,
    ( point_equal(f,e)
    | incident(d,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_441,c_0_106]) ).

cnf(c_0_453,plain,
    ( incident(b,q)
    | incident(X1,s)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_442]) ).

cnf(c_0_454,plain,
    ( line_equal(r,p)
    | point_equal(f,d)
    | ~ incident(f,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_438]),c_0_48])]) ).

cnf(c_0_455,plain,
    ( ~ incident(c,p)
    | ~ incident(e,p) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_310]),c_0_444]) ).

cnf(c_0_456,plain,
    ( incident(c,s)
    | incident(e,p) ),
    inference(sr,[status(thm)],[c_0_445,c_0_402]) ).

cnf(c_0_457,plain,
    ( ~ incident(c,p)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_374,c_0_365]) ).

cnf(c_0_458,plain,
    ( point_equal(f,d)
    | incident(X1,r)
    | ~ incident(f,r)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_446]) ).

cnf(c_0_459,plain,
    ( line_equal(q,s)
    | point_equal(f,i)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_413]),c_0_129])]),c_0_356]) ).

cnf(c_0_460,plain,
    ( line_equal(X1,q)
    | point_equal(f,i)
    | ~ line_equal(X1,s)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_461,plain,
    ( line_equal(r,s)
    | point_equal(f,i)
    | ~ incident(e,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_449]),c_0_109]),c_0_129])]) ).

cnf(c_0_462,plain,
    ( line_equal(p,q)
    | incident(b,o)
    | incident(d,s) ),
    inference(spm,[status(thm)],[c_0_450,c_0_62]) ).

cnf(c_0_463,plain,
    ( point_equal(d,h)
    | incident(b,q)
    | ~ incident(d,q) ),
    inference(spm,[status(thm)],[c_0_451,c_0_70]) ).

cnf(c_0_464,plain,
    ( point_equal(e,f)
    | incident(d,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_452]) ).

cnf(c_0_465,plain,
    ( incident(g,s)
    | ~ incident(e,r) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_323]),c_0_334]) ).

cnf(c_0_466,plain,
    ( point_equal(f,d)
    | incident(X1,p)
    | ~ incident(f,p)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_454]) ).

cnf(c_0_467,plain,
    ~ incident(c,p),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_457]) ).

cnf(c_0_468,plain,
    ( point_equal(f,d)
    | incident(e,r)
    | ~ incident(f,r) ),
    inference(spm,[status(thm)],[c_0_458,c_0_82]) ).

cnf(c_0_469,plain,
    ( line_equal(n,s)
    | point_equal(f,i)
    | ~ incident(i,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_71]),c_0_129])]) ).

cnf(c_0_470,plain,
    ( line_equal(s,q)
    | point_equal(f,i)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_203,c_0_459]) ).

cnf(c_0_471,plain,
    ( incident(f,r)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_413]),c_0_438]) ).

cnf(c_0_472,plain,
    ( line_equal(r,q)
    | point_equal(f,i)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_460,c_0_461]) ).

cnf(c_0_473,plain,
    ( line_equal(q,s)
    | point_equal(a,f)
    | ~ incident(f,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_134]),c_0_170])]) ).

cnf(c_0_474,plain,
    ( incident(d,s)
    | incident(b,o)
    | incident(X1,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_462]) ).

cnf(c_0_475,plain,
    ( point_equal(h,d)
    | incident(b,q)
    | ~ incident(d,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_463]) ).

cnf(c_0_476,plain,
    ( incident(d,q)
    | incident(e,X1)
    | ~ incident(h,s)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_464]) ).

cnf(c_0_477,plain,
    ( ~ incident(h,s)
    | ~ incident(e,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_465]),c_0_186])]) ).

cnf(c_0_478,plain,
    ( point_equal(f,d)
    | ~ incident(f,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_38]),c_0_467]) ).

cnf(c_0_479,plain,
    ( incident(e,r)
    | incident(f,X1)
    | ~ incident(f,r)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_468]) ).

cnf(c_0_480,plain,
    ( point_equal(f,i)
    | incident(X1,s)
    | ~ incident(i,n)
    | ~ incident(X1,n) ),
    inference(spm,[status(thm)],[c_0_42,c_0_469]) ).

cnf(c_0_481,plain,
    ( line_equal(X1,q)
    | point_equal(f,i)
    | ~ line_equal(X1,s)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_447,c_0_470]) ).

cnf(c_0_482,plain,
    ( line_equal(r,s)
    | point_equal(f,i)
    | ~ incident(h,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_471]),c_0_109]),c_0_129])]) ).

cnf(c_0_483,plain,
    ( point_equal(f,i)
    | incident(X1,q)
    | ~ incident(e,s)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_472]) ).

cnf(c_0_484,plain,
    ( line_equal(s,q)
    | point_equal(a,f)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_473]) ).

cnf(c_0_485,plain,
    ( incident(d,q)
    | incident(b,o)
    | incident(d,s) ),
    inference(spm,[status(thm)],[c_0_474,c_0_60]) ).

cnf(c_0_486,plain,
    ( incident(b,q)
    | incident(h,X1)
    | ~ incident(d,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_475]) ).

cnf(c_0_487,plain,
    ( incident(d,q)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_471]),c_0_477]) ).

cnf(c_0_488,plain,
    ( point_equal(d,f)
    | ~ incident(f,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_478]) ).

cnf(c_0_489,plain,
    ( incident(f,p)
    | incident(e,r)
    | ~ incident(f,r) ),
    inference(spm,[status(thm)],[c_0_479,c_0_60]) ).

cnf(c_0_490,plain,
    ( point_equal(f,i)
    | incident(g,s)
    | ~ incident(i,n) ),
    inference(spm,[status(thm)],[c_0_480,c_0_64]) ).

cnf(c_0_491,plain,
    ( incident(X1,esk2_2(i,X1))
    | ~ point_equal(X1,X1) ),
    inference(spm,[status(thm)],[c_0_314,c_0_381]) ).

cnf(c_0_492,plain,
    ( line_equal(r,q)
    | point_equal(f,i)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_493,plain,
    ( point_equal(f,i)
    | ~ incident(e,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_38]),c_0_279]) ).

cnf(c_0_494,plain,
    ( point_equal(a,f)
    | incident(X1,q)
    | ~ incident(f,q)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_484]) ).

cnf(c_0_495,plain,
    ( incident(d,s)
    | incident(d,q) ),
    inference(sr,[status(thm)],[c_0_485,c_0_402]) ).

cnf(c_0_496,plain,
    ( incident(h,X1)
    | ~ incident(h,s)
    | ~ incident(d,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_346]) ).

cnf(c_0_497,plain,
    ( incident(d,X1)
    | ~ incident(f,p)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_488]) ).

cnf(c_0_498,plain,
    ( incident(f,p)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_471]),c_0_477]) ).

cnf(c_0_499,plain,
    ( incident(g,s)
    | incident(f,X1)
    | ~ incident(i,n)
    | ~ incident(i,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_490]) ).

cnf(c_0_500,plain,
    ( ~ incident(h,esk2_2(i,g))
    | ~ incident(i,esk2_2(i,g)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_491]),c_0_329])]) ).

cnf(c_0_501,plain,
    ( point_equal(f,i)
    | incident(X1,q)
    | ~ incident(h,s)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_492]) ).

cnf(c_0_502,plain,
    ( ~ incident(c,q)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_258,c_0_356]) ).

cnf(c_0_503,plain,
    ( point_equal(i,f)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_493]) ).

cnf(c_0_504,plain,
    ( line_equal(p,q)
    | point_equal(h,a)
    | ~ incident(a,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_127]),c_0_197])]) ).

cnf(c_0_505,plain,
    ( line_equal(s,r)
    | incident(d,q)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_414,c_0_60]) ).

cnf(c_0_506,plain,
    ( point_equal(a,f)
    | incident(d,q)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_494,c_0_495]) ).

cnf(c_0_507,plain,
    ( incident(h,X1)
    | ~ incident(h,s)
    | ~ incident(f,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_497]),c_0_498]) ).

cnf(c_0_508,plain,
    ( incident(f,esk2_2(i,g))
    | incident(g,s)
    | ~ incident(i,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_351]),c_0_381])]) ).

cnf(c_0_509,plain,
    ~ incident(h,esk2_2(i,g)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_351]),c_0_381])]) ).

cnf(c_0_510,plain,
    ( point_equal(f,i)
    | ~ incident(h,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_38]),c_0_502]) ).

cnf(c_0_511,plain,
    ( incident(i,X1)
    | ~ incident(e,s)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_503]) ).

cnf(c_0_512,plain,
    ( point_equal(h,a)
    | incident(X1,q)
    | ~ incident(a,p)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_504]) ).

cnf(c_0_513,plain,
    ( line_equal(q,p)
    | incident(a,r)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_392,c_0_170]) ).

cnf(c_0_514,plain,
    ( line_equal(q,p)
    | line_equal(s,r) ),
    inference(sr,[status(thm)],[c_0_383,c_0_402]) ).

cnf(c_0_515,plain,
    ( line_equal(s,r)
    | incident(d,q) ),
    inference(sr,[status(thm)],[c_0_505,c_0_402]) ).

cnf(c_0_516,plain,
    ( incident(d,q)
    | incident(a,X1)
    | ~ incident(f,q)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_506]) ).

cnf(c_0_517,plain,
    ( incident(g,s)
    | ~ incident(h,s)
    | ~ incident(i,n) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_509]) ).

cnf(c_0_518,plain,
    ( point_equal(i,f)
    | ~ incident(h,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_510]) ).

cnf(c_0_519,plain,
    ( line_equal(q,s)
    | point_equal(e,i)
    | ~ incident(i,q)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_427,c_0_146]) ).

cnf(c_0_520,plain,
    ( ~ incident(f,p)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_250,c_0_511]) ).

cnf(c_0_521,plain,
    ( incident(e,r)
    | incident(f,p)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_489,c_0_449]) ).

cnf(c_0_522,plain,
    ( line_equal(o,n)
    | point_equal(e,g)
    | ~ incident(e,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_99]),c_0_76])]) ).

cnf(c_0_523,plain,
    ( point_equal(h,a)
    | incident(b,q)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_512,c_0_70]) ).

cnf(c_0_524,plain,
    ( point_equal(X1,c)
    | ~ point_equal(X1,b)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_95,c_0_97]) ).

cnf(c_0_525,plain,
    ( incident(b,o)
    | incident(a,r)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_513]) ).

cnf(c_0_526,plain,
    ( line_equal(q,p)
    | incident(X1,r)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_514]) ).

cnf(c_0_527,plain,
    ( incident(d,q)
    | incident(X1,r)
    | ~ incident(X1,s) ),
    inference(spm,[status(thm)],[c_0_42,c_0_515]) ).

cnf(c_0_528,plain,
    ( incident(d,q)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_83]),c_0_222]) ).

cnf(c_0_529,plain,
    ( incident(b,q)
    | incident(b,o)
    | incident(d,s) ),
    inference(spm,[status(thm)],[c_0_474,c_0_70]) ).

cnf(c_0_530,plain,
    ( ~ incident(h,s)
    | ~ incident(i,n) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_517]),c_0_186])]) ).

cnf(c_0_531,plain,
    ( incident(i,X1)
    | ~ incident(h,s)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_518]) ).

cnf(c_0_532,plain,
    ( line_equal(s,q)
    | point_equal(e,i)
    | ~ incident(e,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_519]),c_0_259]) ).

cnf(c_0_533,plain,
    ( incident(e,r)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_534,plain,
    ( point_equal(e,g)
    | incident(X1,n)
    | ~ incident(e,n)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_522]) ).

cnf(c_0_535,plain,
    ( point_equal(h,b)
    | incident(b,q)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_302,c_0_523]) ).

cnf(c_0_536,plain,
    ( point_equal(a,b)
    | ~ incident(c,n)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_121,c_0_247]) ).

cnf(c_0_537,plain,
    ( point_equal(c,X1)
    | ~ point_equal(X1,b)
    | ~ incident(c,n) ),
    inference(spm,[status(thm)],[c_0_51,c_0_524]) ).

cnf(c_0_538,plain,
    ( incident(a,p)
    | incident(a,r)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_525,c_0_134]) ).

cnf(c_0_539,plain,
    ( line_equal(q,p)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_229]),c_0_359]) ).

cnf(c_0_540,plain,
    ( incident(d,q)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_229]),c_0_359]) ).

cnf(c_0_541,plain,
    ( line_equal(X1,s)
    | point_equal(a,f)
    | ~ line_equal(X1,q)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_447,c_0_473]) ).

cnf(c_0_542,plain,
    ( incident(b,q)
    | incident(h,X1)
    | ~ incident(f,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_486,c_0_528]) ).

cnf(c_0_543,plain,
    ( incident(d,s)
    | incident(b,q) ),
    inference(sr,[status(thm)],[c_0_529,c_0_402]) ).

cnf(c_0_544,plain,
    ~ incident(h,s),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_71])]) ).

cnf(c_0_545,plain,
    ( line_equal(X1,q)
    | point_equal(e,i)
    | ~ line_equal(X1,s)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_447,c_0_532]) ).

cnf(c_0_546,plain,
    ( line_equal(r,s)
    | point_equal(e,i)
    | ~ incident(e,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_533]),c_0_109])]) ).

cnf(c_0_547,plain,
    ( point_equal(e,g)
    | incident(c,n)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_534,c_0_66]) ).

cnf(c_0_548,plain,
    ( point_equal(b,h)
    | incident(b,q)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_535]) ).

cnf(c_0_549,plain,
    ( point_equal(b,a)
    | ~ incident(c,n)
    | ~ incident(c,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_536]) ).

cnf(c_0_550,plain,
    ( incident(a,p)
    | incident(c,s)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_435,c_0_134]) ).

cnf(c_0_551,plain,
    ( point_equal(c,a)
    | ~ incident(c,n)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_537,c_0_184]) ).

cnf(c_0_552,plain,
    ( incident(a,r)
    | incident(a,p) ),
    inference(sr,[status(thm)],[c_0_538,c_0_402]) ).

cnf(c_0_553,plain,
    ( line_equal(X1,p)
    | ~ line_equal(X1,q)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_447,c_0_539]) ).

cnf(c_0_554,plain,
    ( line_equal(q,m)
    | point_equal(d,e)
    | ~ incident(b,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_540]),c_0_146]),c_0_106])]) ).

cnf(c_0_555,plain,
    ( line_equal(s,X1)
    | point_equal(a,f)
    | ~ line_equal(X1,q)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_541]) ).

cnf(c_0_556,plain,
    ( line_equal(p,q)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_539]) ).

cnf(c_0_557,plain,
    ( incident(b,q)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_544]) ).

cnf(c_0_558,plain,
    ( line_equal(r,q)
    | point_equal(e,i)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_545,c_0_546]) ).

cnf(c_0_559,plain,
    ( point_equal(g,e)
    | incident(c,n)
    | ~ incident(e,n) ),
    inference(spm,[status(thm)],[c_0_51,c_0_547]) ).

cnf(c_0_560,plain,
    ( incident(b,q)
    | incident(b,X1)
    | ~ incident(a,p)
    | ~ incident(h,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_548]) ).

cnf(c_0_561,plain,
    ( incident(b,X1)
    | ~ incident(c,n)
    | ~ incident(c,s)
    | ~ incident(a,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_549]) ).

cnf(c_0_562,plain,
    ( incident(c,s)
    | incident(a,p) ),
    inference(sr,[status(thm)],[c_0_550,c_0_402]) ).

cnf(c_0_563,plain,
    ( incident(c,X1)
    | ~ incident(c,n)
    | ~ incident(b,q)
    | ~ incident(a,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_551]) ).

cnf(c_0_564,plain,
    ( incident(a,p)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_552]),c_0_359]) ).

cnf(c_0_565,plain,
    ( line_equal(m,s)
    | point_equal(f,i)
    | ~ incident(i,m) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_83]),c_0_129])]) ).

cnf(c_0_566,plain,
    ( incident(X1,p)
    | ~ line_equal(X2,q)
    | ~ incident(b,q)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_553]) ).

cnf(c_0_567,plain,
    ( line_equal(m,q)
    | point_equal(d,e)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_554]) ).

cnf(c_0_568,plain,
    ( line_equal(s,p)
    | point_equal(a,f)
    | ~ incident(f,q) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_557]) ).

cnf(c_0_569,plain,
    ( line_equal(m,q)
    | point_equal(d,e)
    | ~ incident(d,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_106]),c_0_82])]) ).

cnf(c_0_570,plain,
    ( point_equal(e,i)
    | incident(X1,q)
    | ~ incident(e,s)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_558]) ).

cnf(c_0_571,plain,
    ( incident(c,n)
    | incident(g,X1)
    | ~ incident(e,n)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_559]) ).

cnf(c_0_572,plain,
    ( incident(b,q)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_560,c_0_197]) ).

cnf(c_0_573,plain,
    ( incident(a,p)
    | ~ incident(c,n) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_552]),c_0_359]),c_0_562]) ).

cnf(c_0_574,plain,
    ( ~ incident(c,n)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_467]) ).

cnf(c_0_575,plain,
    ( line_equal(s,m)
    | point_equal(f,i)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_203,c_0_565]) ).

cnf(c_0_576,plain,
    ( line_equal(o,r)
    | point_equal(c,d)
    | ~ incident(d,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_66]),c_0_38])]) ).

cnf(c_0_577,plain,
    ( point_equal(d,e)
    | incident(X1,p)
    | ~ incident(b,q)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_566,c_0_567]) ).

cnf(c_0_578,plain,
    ( line_equal(p,s)
    | point_equal(a,f)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_568]) ).

cnf(c_0_579,plain,
    ( point_equal(d,e)
    | incident(X1,q)
    | ~ incident(d,q)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_569]) ).

cnf(c_0_580,plain,
    ( point_equal(f,i)
    | incident(X1,s)
    | ~ incident(i,m)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_565]) ).

cnf(c_0_581,plain,
    ( point_equal(X1,f)
    | ~ point_equal(X1,i)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_95,c_0_503]) ).

cnf(c_0_582,plain,
    ( point_equal(e,i)
    | ~ incident(e,s) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_38]),c_0_279]) ).

cnf(c_0_583,plain,
    ( incident(c,n)
    | ~ incident(e,n)
    | ~ incident(h,X1)
    | ~ incident(i,X1)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_571]) ).

cnf(c_0_584,plain,
    ~ incident(c,n),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_574]) ).

cnf(c_0_585,plain,
    ( line_equal(X1,m)
    | point_equal(f,i)
    | ~ line_equal(X1,s)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_447,c_0_575]) ).

cnf(c_0_586,plain,
    ( point_equal(c,d)
    | incident(X1,r)
    | ~ incident(d,o)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_576]) ).

cnf(c_0_587,plain,
    ( point_equal(d,e)
    | incident(e,p)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_577,c_0_82]) ).

cnf(c_0_588,plain,
    ( point_equal(X1,d)
    | ~ point_equal(X1,f)
    | ~ incident(f,p) ),
    inference(spm,[status(thm)],[c_0_95,c_0_478]) ).

cnf(c_0_589,plain,
    ( point_equal(a,f)
    | incident(X1,s)
    | ~ incident(f,q)
    | ~ incident(X1,p) ),
    inference(spm,[status(thm)],[c_0_42,c_0_578]) ).

cnf(c_0_590,plain,
    ( incident(b,o)
    | incident(f,r)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_401]) ).

cnf(c_0_591,plain,
    ( point_equal(d,e)
    | incident(f,q)
    | ~ incident(d,q) ),
    inference(spm,[status(thm)],[c_0_579,c_0_83]) ).

cnf(c_0_592,plain,
    ( line_equal(r,p)
    | point_equal(i,d)
    | ~ incident(i,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_109]),c_0_48])]) ).

cnf(c_0_593,plain,
    ( point_equal(f,i)
    | incident(e,s)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_580,c_0_82]) ).

cnf(c_0_594,plain,
    ( point_equal(e,f)
    | ~ incident(e,s) ),
    inference(spm,[status(thm)],[c_0_581,c_0_582]) ).

cnf(c_0_595,plain,
    ( ~ incident(e,n)
    | ~ incident(e,s)
    | ~ incident(h,X1)
    | ~ incident(e,X1)
    | ~ incident(f,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_511]),c_0_584]) ).

cnf(c_0_596,plain,
    ( line_equal(m,X1)
    | point_equal(f,i)
    | ~ line_equal(X1,s)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_203,c_0_585]) ).

cnf(c_0_597,plain,
    ( point_equal(c,d)
    | incident(g,r)
    | ~ incident(d,o) ),
    inference(spm,[status(thm)],[c_0_586,c_0_76]) ).

cnf(c_0_598,plain,
    ( line_equal(r,n)
    | point_equal(i,g)
    | ~ incident(g,r)
    | ~ incident(i,n) ),
    inference(spm,[status(thm)],[c_0_75,c_0_109]) ).

cnf(c_0_599,plain,
    ( point_equal(e,d)
    | incident(e,p)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_587]) ).

cnf(c_0_600,plain,
    ( incident(X1,X2)
    | ~ point_equal(X1,f)
    | ~ incident(f,p)
    | ~ incident(d,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_588]) ).

cnf(c_0_601,plain,
    ( point_equal(a,f)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_127]),c_0_544]) ).

cnf(c_0_602,plain,
    ( incident(e,p)
    | incident(f,r)
    | incident(b,o) ),
    inference(spm,[status(thm)],[c_0_590,c_0_146]) ).

cnf(c_0_603,plain,
    ( point_equal(e,d)
    | incident(f,q)
    | ~ incident(d,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_591]) ).

cnf(c_0_604,plain,
    ( point_equal(i,d)
    | incident(X1,p)
    | ~ incident(i,p)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_592]) ).

cnf(c_0_605,plain,
    ( point_equal(X1,i)
    | incident(e,s)
    | ~ point_equal(X1,f)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_95,c_0_593]) ).

cnf(c_0_606,plain,
    ( incident(e,X1)
    | ~ incident(e,s)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_594]) ).

cnf(c_0_607,plain,
    ( ~ incident(e,n)
    | ~ incident(e,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_428]),c_0_197]),c_0_146])]) ).

cnf(c_0_608,plain,
    ( line_equal(m,q)
    | point_equal(f,i)
    | ~ incident(i,m) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_437]),c_0_593]) ).

cnf(c_0_609,plain,
    ( incident(g,r)
    | incident(c,X1)
    | ~ incident(d,o)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_597]) ).

cnf(c_0_610,plain,
    ( point_equal(i,g)
    | incident(X1,n)
    | ~ incident(g,r)
    | ~ incident(i,n)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_598]) ).

cnf(c_0_611,plain,
    ( incident(e,p)
    | incident(e,X1)
    | ~ incident(b,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_599]) ).

cnf(c_0_612,plain,
    ( incident(a,X1)
    | ~ incident(f,p)
    | ~ incident(f,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_600,c_0_601]) ).

cnf(c_0_613,plain,
    ( incident(f,r)
    | incident(e,p) ),
    inference(sr,[status(thm)],[c_0_602,c_0_402]) ).

cnf(c_0_614,plain,
    ( incident(f,q)
    | incident(e,X1)
    | ~ incident(d,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_603]) ).

cnf(c_0_615,plain,
    ( point_equal(i,d)
    | incident(c,p)
    | ~ incident(i,p) ),
    inference(spm,[status(thm)],[c_0_604,c_0_38]) ).

cnf(c_0_616,plain,
    ( point_equal(X1,f)
    | ~ point_equal(X1,a)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_95,c_0_601]) ).

cnf(c_0_617,plain,
    ( point_equal(i,X1)
    | incident(e,s)
    | ~ point_equal(X1,f)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_51,c_0_605]) ).

cnf(c_0_618,plain,
    ~ incident(e,s),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_71]),c_0_607]) ).

cnf(c_0_619,plain,
    ( point_equal(f,i)
    | incident(X1,q)
    | ~ incident(i,m)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_608]) ).

cnf(c_0_620,plain,
    ( line_equal(m,s)
    | point_equal(d,f)
    | ~ incident(d,s) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_106]),c_0_83])]) ).

cnf(c_0_621,plain,
    ( incident(g,r)
    | ~ incident(d,o) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_106]),c_0_141]) ).

cnf(c_0_622,plain,
    ( point_equal(i,g)
    | incident(c,n)
    | ~ incident(g,r)
    | ~ incident(i,n) ),
    inference(spm,[status(thm)],[c_0_610,c_0_38]) ).

cnf(c_0_623,plain,
    ( line_equal(X1,m)
    | point_equal(X2,d)
    | ~ incident(d,X1)
    | ~ incident(X2,m)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_106]) ).

cnf(c_0_624,plain,
    ( incident(e,p)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_611,c_0_60]) ).

cnf(c_0_625,plain,
    ( ~ incident(f,p)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_612,c_0_106]),c_0_222]) ).

cnf(c_0_626,plain,
    ( incident(e,r)
    | incident(f,p) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_613]),c_0_292]) ).

cnf(c_0_627,plain,
    ( incident(f,q)
    | incident(e,X1)
    | ~ incident(b,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_614,c_0_540]) ).

cnf(c_0_628,plain,
    ( point_equal(X1,d)
    | incident(c,p)
    | ~ point_equal(X1,i)
    | ~ incident(i,p) ),
    inference(spm,[status(thm)],[c_0_95,c_0_615]) ).

cnf(c_0_629,plain,
    ( point_equal(f,X1)
    | ~ point_equal(X1,a)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_616]) ).

cnf(c_0_630,plain,
    ( point_equal(i,a)
    | ~ incident(i,m)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_601]),c_0_618]) ).

cnf(c_0_631,plain,
    ( point_equal(f,i)
    | incident(f,q)
    | ~ incident(i,m) ),
    inference(spm,[status(thm)],[c_0_619,c_0_83]) ).

cnf(c_0_632,plain,
    ( point_equal(d,f)
    | incident(X1,s)
    | ~ incident(d,s)
    | ~ incident(X1,m) ),
    inference(spm,[status(thm)],[c_0_42,c_0_620]) ).

cnf(c_0_633,plain,
    ( line_equal(X1,r)
    | point_equal(X2,i)
    | ~ incident(i,X1)
    | ~ incident(X2,r)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_109]) ).

cnf(c_0_634,plain,
    ( incident(g,s)
    | ~ incident(d,o) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_621]),c_0_334]) ).

cnf(c_0_635,plain,
    ( point_equal(g,i)
    | ~ incident(g,r)
    | ~ incident(i,n) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_622]),c_0_584]) ).

cnf(c_0_636,plain,
    ( line_equal(p,m)
    | point_equal(e,d)
    | ~ incident(b,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_624]),c_0_60]),c_0_82])]) ).

cnf(c_0_637,plain,
    ( incident(e,r)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_625,c_0_626]) ).

cnf(c_0_638,plain,
    ( incident(e,r)
    | incident(f,q)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_627,c_0_48]) ).

cnf(c_0_639,plain,
    ( point_equal(d,X1)
    | incident(c,p)
    | ~ point_equal(X1,i)
    | ~ incident(i,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_628]) ).

cnf(c_0_640,plain,
    ( point_equal(f,i)
    | ~ incident(i,m) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_631]) ).

cnf(c_0_641,plain,
    ( point_equal(d,f)
    | incident(e,s)
    | ~ incident(d,s) ),
    inference(spm,[status(thm)],[c_0_632,c_0_82]) ).

cnf(c_0_642,plain,
    ( line_equal(s,r)
    | point_equal(g,i)
    | ~ incident(d,o) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_634]),c_0_186])]),c_0_621]) ).

cnf(c_0_643,plain,
    ( point_equal(i,g)
    | ~ incident(g,r)
    | ~ incident(i,n) ),
    inference(spm,[status(thm)],[c_0_51,c_0_635]) ).

cnf(c_0_644,plain,
    ( line_equal(m,p)
    | point_equal(e,d)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_203,c_0_636]) ).

cnf(c_0_645,plain,
    ( incident(e,r)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_637,c_0_638]) ).

cnf(c_0_646,plain,
    ( point_equal(d,f)
    | ~ incident(i,p)
    | ~ incident(i,m) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_640]),c_0_467]) ).

cnf(c_0_647,plain,
    ( line_equal(r,l)
    | point_equal(c,a)
    | ~ incident(a,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_38]),c_0_39])]) ).

cnf(c_0_648,plain,
    ( point_equal(f,d)
    | incident(e,s)
    | ~ incident(d,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_641]) ).

cnf(c_0_649,plain,
    ( line_equal(r,s)
    | point_equal(g,i)
    | ~ incident(d,o) ),
    inference(spm,[status(thm)],[c_0_203,c_0_642]) ).

cnf(c_0_650,plain,
    ( incident(i,X1)
    | ~ incident(g,r)
    | ~ incident(i,n)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_643]) ).

cnf(c_0_651,plain,
    ( line_equal(X1,p)
    | point_equal(e,d)
    | ~ line_equal(X1,m)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_447,c_0_644]) ).

cnf(c_0_652,plain,
    ( line_equal(r,m)
    | point_equal(e,d)
    | ~ incident(b,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_645]),c_0_48]),c_0_82])]) ).

cnf(c_0_653,plain,
    ( incident(d,X1)
    | ~ incident(i,p)
    | ~ incident(i,m)
    | ~ incident(f,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_646]) ).

cnf(c_0_654,plain,
    ( incident(c,p)
    | incident(i,X1)
    | ~ incident(i,p)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_615]) ).

cnf(c_0_655,plain,
    ( point_equal(c,a)
    | incident(X1,l)
    | ~ incident(a,r)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_647]) ).

cnf(c_0_656,plain,
    ( point_equal(X1,d)
    | incident(e,s)
    | ~ point_equal(X1,f)
    | ~ incident(d,s) ),
    inference(spm,[status(thm)],[c_0_95,c_0_648]) ).

cnf(c_0_657,plain,
    ( point_equal(g,i)
    | incident(X1,s)
    | ~ incident(d,o)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_649]) ).

cnf(c_0_658,plain,
    ( incident(i,X1)
    | ~ incident(i,n)
    | ~ incident(d,o)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_650,c_0_621]) ).

cnf(c_0_659,plain,
    ( line_equal(r,p)
    | point_equal(e,d)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_651,c_0_652]) ).

cnf(c_0_660,plain,
    ( ~ incident(i,p)
    | ~ incident(i,m) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_653]),c_0_71])]) ).

cnf(c_0_661,plain,
    ( incident(i,m)
    | incident(c,p)
    | ~ incident(i,p) ),
    inference(spm,[status(thm)],[c_0_654,c_0_106]) ).

cnf(c_0_662,plain,
    ( point_equal(c,a)
    | ~ incident(a,r) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_48]),c_0_49]) ).

cnf(c_0_663,plain,
    ( line_equal(r,s)
    | point_equal(i,a)
    | ~ incident(a,r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_109]),c_0_186])]) ).

cnf(c_0_664,plain,
    ( point_equal(d,X1)
    | incident(e,s)
    | ~ point_equal(X1,f)
    | ~ incident(d,s) ),
    inference(spm,[status(thm)],[c_0_51,c_0_656]) ).

cnf(c_0_665,plain,
    ( point_equal(g,i)
    | ~ incident(d,o)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_645]),c_0_618]) ).

cnf(c_0_666,plain,
    ( incident(i,esk2_2(h,g))
    | ~ incident(i,n)
    | ~ incident(d,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_328]),c_0_329])]) ).

cnf(c_0_667,plain,
    ( point_equal(e,d)
    | incident(X1,p)
    | ~ incident(b,q)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_659]) ).

cnf(c_0_668,plain,
    ~ incident(i,p),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_467]) ).

cnf(c_0_669,plain,
    ( point_equal(a,c)
    | ~ incident(a,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_662]) ).

cnf(c_0_670,plain,
    ( point_equal(i,a)
    | incident(X1,s)
    | ~ incident(a,r)
    | ~ incident(X1,r) ),
    inference(spm,[status(thm)],[c_0_42,c_0_663]) ).

cnf(c_0_671,plain,
    ( point_equal(d,a)
    | ~ incident(d,s)
    | ~ incident(f,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_601]),c_0_618]) ).

cnf(c_0_672,plain,
    ( line_equal(X1,p)
    | point_equal(X2,h)
    | ~ incident(h,X1)
    | ~ incident(X2,p)
    | ~ incident(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_127]) ).

cnf(c_0_673,plain,
    ( point_equal(i,g)
    | ~ incident(d,o)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_665]) ).

cnf(c_0_674,plain,
    ( ~ incident(h,esk2_2(h,g))
    | ~ incident(i,n)
    | ~ incident(d,o) ),
    inference(spm,[status(thm)],[c_0_339,c_0_666]) ).

cnf(c_0_675,plain,
    ( point_equal(e,d)
    | ~ incident(b,q) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_109]),c_0_668]) ).

cnf(c_0_676,plain,
    ( point_equal(X1,c)
    | ~ point_equal(X1,a)
    | ~ incident(a,r) ),
    inference(spm,[status(thm)],[c_0_95,c_0_669]) ).

cnf(c_0_677,plain,
    ( point_equal(i,a)
    | incident(d,s)
    | ~ incident(a,r) ),
    inference(spm,[status(thm)],[c_0_670,c_0_48]) ).

cnf(c_0_678,plain,
    ( point_equal(a,d)
    | ~ incident(d,s)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_671]) ).

cnf(c_0_679,plain,
    ( point_equal(d,i)
    | incident(c,p)
    | ~ incident(i,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_615]) ).

cnf(c_0_680,plain,
    ( line_equal(o,p)
    | point_equal(g,h)
    | ~ incident(h,o)
    | ~ incident(g,p) ),
    inference(spm,[status(thm)],[c_0_672,c_0_76]) ).

cnf(c_0_681,plain,
    ( incident(i,X1)
    | ~ incident(d,o)
    | ~ incident(b,q)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_673]) ).

cnf(c_0_682,plain,
    ( ~ incident(i,n)
    | ~ incident(d,o) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_351]),c_0_315])]) ).

cnf(c_0_683,plain,
    ( point_equal(d,e)
    | ~ incident(b,q) ),
    inference(spm,[status(thm)],[c_0_51,c_0_675]) ).

cnf(c_0_684,plain,
    ( point_equal(i,c)
    | incident(d,s)
    | ~ incident(a,r) ),
    inference(spm,[status(thm)],[c_0_676,c_0_677]) ).

cnf(c_0_685,plain,
    ( incident(a,X1)
    | ~ incident(d,s)
    | ~ incident(f,q)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_678]) ).

cnf(c_0_686,plain,
    ( incident(c,p)
    | incident(d,X1)
    | ~ incident(i,p)
    | ~ incident(i,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_679]) ).

cnf(c_0_687,plain,
    ( line_equal(q,p)
    | incident(a,r) ),
    inference(sr,[status(thm)],[c_0_513,c_0_402]) ).

cnf(c_0_688,plain,
    ( point_equal(g,h)
    | incident(X1,p)
    | ~ incident(h,o)
    | ~ incident(g,p)
    | ~ incident(X1,o) ),
    inference(spm,[status(thm)],[c_0_42,c_0_680]) ).

cnf(c_0_689,plain,
    ( ~ incident(d,o)
    | ~ incident(b,q) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_64]),c_0_682]) ).

cnf(c_0_690,plain,
    ( incident(d,X1)
    | ~ incident(b,q)
    | ~ incident(e,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_683]) ).

cnf(c_0_691,plain,
    ( point_equal(c,i)
    | incident(d,s)
    | ~ incident(a,r) ),
    inference(spm,[status(thm)],[c_0_51,c_0_684]) ).

cnf(c_0_692,plain,
    ( incident(a,X1)
    | ~ incident(f,q)
    | ~ incident(i,p)
    | ~ incident(d,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_686]),c_0_186])]),c_0_467]) ).

cnf(c_0_693,plain,
    ( incident(a,r)
    | incident(X1,p)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_687]) ).

cnf(c_0_694,plain,
    ( point_equal(g,h)
    | ~ incident(h,o)
    | ~ incident(g,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_66]),c_0_467]) ).

cnf(c_0_695,plain,
    ~ incident(b,q),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_690]),c_0_99])]) ).

cnf(c_0_696,plain,
    ( incident(d,s)
    | incident(c,X1)
    | ~ incident(a,r)
    | ~ incident(i,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_691]) ).

cnf(c_0_697,plain,
    ( ~ incident(c,q)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_258,c_0_420]) ).

cnf(c_0_698,plain,
    ( ~ incident(f,q)
    | ~ incident(i,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_106]),c_0_222]) ).

cnf(c_0_699,plain,
    ( incident(i,p)
    | incident(a,r)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_693,c_0_420]) ).

cnf(c_0_700,plain,
    ( line_equal(q,o)
    | point_equal(a,g)
    | ~ incident(g,q)
    | ~ incident(a,o) ),
    inference(spm,[status(thm)],[c_0_364,c_0_134]) ).

cnf(c_0_701,plain,
    ( point_equal(h,g)
    | ~ incident(h,o)
    | ~ incident(g,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_694]) ).

cnf(c_0_702,plain,
    ( incident(e,s)
    | incident(f,X1)
    | ~ incident(d,s)
    | ~ incident(d,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_648]) ).

cnf(c_0_703,plain,
    incident(d,s),
    inference(sr,[status(thm)],[c_0_543,c_0_695]) ).

cnf(c_0_704,plain,
    ( incident(d,s)
    | ~ incident(a,r)
    | ~ incident(f,q) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_420]),c_0_697]) ).

cnf(c_0_705,plain,
    ( incident(a,r)
    | ~ incident(f,q) ),
    inference(spm,[status(thm)],[c_0_698,c_0_699]) ).

cnf(c_0_706,plain,
    ( line_equal(o,q)
    | point_equal(a,g)
    | ~ incident(a,o) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_700]),c_0_343]) ).

cnf(c_0_707,plain,
    ( incident(h,X1)
    | ~ incident(h,o)
    | ~ incident(g,p)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_701]) ).

cnf(c_0_708,plain,
    ( incident(f,X1)
    | ~ incident(d,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_702,c_0_703])]),c_0_618]) ).

cnf(c_0_709,plain,
    ( incident(a,X1)
    | ~ incident(f,q)
    | ~ incident(d,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_704]),c_0_705]) ).

cnf(c_0_710,plain,
    ( line_equal(q,o)
    | point_equal(a,g)
    | ~ incident(a,o) ),
    inference(spm,[status(thm)],[c_0_203,c_0_706]) ).

cnf(c_0_711,plain,
    ( incident(h,X1)
    | ~ incident(h,o)
    | ~ incident(d,n)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_707,c_0_126]) ).

cnf(c_0_712,plain,
    incident(f,p),
    inference(spm,[status(thm)],[c_0_708,c_0_60]) ).

cnf(c_0_713,plain,
    ~ incident(f,q),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_106]),c_0_222]) ).

cnf(c_0_714,plain,
    ( point_equal(a,g)
    | incident(X1,o)
    | ~ incident(a,o)
    | ~ incident(X1,q) ),
    inference(spm,[status(thm)],[c_0_42,c_0_710]) ).

cnf(c_0_715,plain,
    ( ~ incident(h,o)
    | ~ incident(d,n) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_491]),c_0_329])]),c_0_509]) ).

cnf(c_0_716,plain,
    ( point_equal(h,a)
    | ~ incident(a,p) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_712]),c_0_713]) ).

cnf(c_0_717,plain,
    ( point_equal(a,g)
    | incident(X1,o)
    | ~ incident(c,s)
    | ~ incident(X1,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_288]),c_0_66])]) ).

cnf(c_0_718,plain,
    incident(c,s),
    inference(sr,[status(thm)],[c_0_394,c_0_695]) ).

cnf(c_0_719,plain,
    ( ~ incident(h,o)
    | ~ incident(f,p) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_497]),c_0_71])]) ).

cnf(c_0_720,plain,
    ( point_equal(h,b)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_302,c_0_716]) ).

cnf(c_0_721,plain,
    ( point_equal(a,g)
    | incident(X1,o)
    | ~ incident(X1,q) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_717,c_0_718])]) ).

cnf(c_0_722,plain,
    ~ incident(h,o),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_719,c_0_712])]) ).

cnf(c_0_723,plain,
    ( point_equal(b,h)
    | ~ incident(a,p) ),
    inference(spm,[status(thm)],[c_0_51,c_0_720]) ).

cnf(c_0_724,plain,
    point_equal(a,g),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_197]),c_0_722]) ).

cnf(c_0_725,plain,
    ( incident(b,X1)
    | ~ incident(a,p)
    | ~ incident(h,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_723]) ).

cnf(c_0_726,plain,
    ( incident(a,X1)
    | ~ incident(g,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_724]) ).

cnf(c_0_727,plain,
    incident(g,p),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_712])]) ).

cnf(c_0_728,plain,
    ~ incident(a,p),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_197]),c_0_695]) ).

cnf(c_0_729,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_727]),c_0_728]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO168+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 19:29:12 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 21.99/22.05  % Version  : CSE_E---1.5
% 21.99/22.05  % Problem  : theBenchmark.p
% 21.99/22.05  % Proof found
% 21.99/22.05  % SZS status Theorem for theBenchmark.p
% 21.99/22.05  % SZS output start Proof
% See solution above
% 21.99/22.06  % Total time : 21.460000 s
% 21.99/22.06  % SZS output end Proof
% 21.99/22.06  % Total time : 21.465000 s
%------------------------------------------------------------------------------