%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO169+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:04:12 EDT 2022

% Result   : Theorem 0.27s 9.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   75
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  491 ( 102 unt;   0 def)
%            Number of atoms       : 1621 (1033 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 1589 ( 459   ~;1098   |;  15   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-2 aty)
%            Number of variables   :  226 (   2 sgn  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goal_to_be_proved,conjecture,
    goal,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goal_to_be_proved) ).

fof(t_b_in_a,axiom,
    ( ( incident(b1,a2a3)
      & incident(b2,a3a1)
      & incident(b3,a1a2) )
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t_b_in_a) ).

fof(unique,axiom,
    ! [X1,X2,X3,X4] :
      ( ( incident(X1,X3)
        & incident(X1,X4)
        & incident(X2,X3)
        & incident(X2,X4) )
     => ( X1 = X2
        | X3 = X4 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',unique) ).

fof(ib1b2,axiom,
    incident(b1,b1b2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib1b2) ).

fof(gap1,axiom,
    ( incident(a1,b2b3)
    | incident(b3,a1a2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gap1) ).

fof(gap2,axiom,
    ( incident(a2,b3b1)
    | incident(b1,a2a3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gap2) ).

fof(gap3,axiom,
    ( incident(a3,b1b2)
    | incident(b2,a3a1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gap3) ).

fof(ib2b3,axiom,
    incident(b2,b2b3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib2b3) ).

fof(sort_line,axiom,
    ! [X1,X2] :
      ( incident(X1,X2)
     => line(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sort_line) ).

fof(meet,axiom,
    ! [X1,X2] :
      ( ( line(X1)
        & line(X2) )
     => ? [X3] :
          ( incident(X3,X1)
          & incident(X3,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',meet) ).

fof(ib3b1,axiom,
    incident(b3,b3b1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib3b1) ).

fof(ia3a2,axiom,
    incident(a3,a2a3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia3a2) ).

fof(ia3a1,axiom,
    incident(a3,a3a1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia3a1) ).

fof(ib3b2,axiom,
    incident(b3,b2b3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib3b2) ).

fof(ia2a1,axiom,
    incident(a2,a1a2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia2a1) ).

fof(sort_point,axiom,
    ! [X1,X2] :
      ( incident(X1,X2)
     => point(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sort_point) ).

fof(ib2s2,axiom,
    incident(b2,s2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib2s2) ).

fof(t_a_in_b,axiom,
    ( ( incident(a1,b2b3)
      & incident(a2,b3b1)
      & incident(a3,b1b2) )
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t_a_in_b) ).

fof(ib2b1,axiom,
    incident(b2,b1b2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib2b1) ).

fof(join,axiom,
    ! [X1,X2] :
      ( ( point(X1)
        & point(X2) )
     => ? [X3] :
          ( incident(X1,X3)
          & incident(X2,X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',join) ).

fof(ip3a,axiom,
    incident(p3,a1a2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ip3a) ).

fof(iss2,axiom,
    incident(s,s2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',iss2) ).

fof(diff_b2_b3,axiom,
    ( b2 = b3
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_b2_b3) ).

fof(ia1a3,axiom,
    incident(a1,a3a1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia1a3) ).

fof(ib3s3,axiom,
    incident(b3,s3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib3s3) ).

fof(not12,axiom,
    ( a1a2 = b1b2
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not12) ).

fof(iss3,axiom,
    incident(s,s3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',iss3) ).

fof(diff_b3_b1,axiom,
    ( b3 = b1
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_b3_b1) ).

fof(iss1,axiom,
    incident(s,s1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',iss1) ).

fof(ia3s3,axiom,
    incident(a3,s3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia3s3) ).

fof(ib1b3,axiom,
    incident(b1,b3b1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib1b3) ).

fof(ip3b,axiom,
    incident(p3,b1b2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ip3b) ).

fof(ia2s2,axiom,
    incident(a2,s2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia2s2) ).

fof(ib1s1,axiom,
    incident(b1,s1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ib1s1) ).

fof(diff_a2_a3,axiom,
    ( a2 = a3
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_a2_a3) ).

fof(ia1a2,axiom,
    incident(a1,a1a2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia1a2) ).

fof(ia2a3,axiom,
    incident(a2,a2a3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia2a3) ).

fof(diff_b1_b2,axiom,
    ( b1 = b2
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_b1_b2) ).

fof(ia1s1,axiom,
    incident(a1,s1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ia1s1) ).

fof(not23,axiom,
    ( a2a3 = b2b3
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not23) ).

fof(diff_a3_a1,axiom,
    ( a3 = a1
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_a3_a1) ).

fof(diff_a1_a2,axiom,
    ( a1 = a2
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_a1_a2) ).

fof(ip1a,axiom,
    incident(p1,a2a3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ip1a) ).

fof(not31,axiom,
    ( a3a1 = b3b1
   => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',not31) ).

fof(ip1b,axiom,
    incident(p1,b2b3),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ip1b) ).

fof(ip2a,axiom,
    incident(p2,a3a1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ip2a) ).

fof(ip2b,axiom,
    incident(p2,b3b1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ip2b) ).

fof(goal_normal,axiom,
    ! [X1] :
      ( ( incident(p3,X1)
        & incident(p1,X1)
        & incident(p2,X1) )
     => goal ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goal_normal) ).

fof(c_0_48,negated_conjecture,
    ~ goal,
    inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).

fof(c_0_49,plain,
    ( ~ incident(b1,a2a3)
    | ~ incident(b2,a3a1)
    | ~ incident(b3,a1a2)
    | goal ),
    inference(fof_nnf,[status(thm)],[t_b_in_a]) ).

fof(c_0_50,negated_conjecture,
    ~ goal,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_51,plain,
    ! [X5,X6,X7,X8] :
      ( ~ incident(X5,X7)
      | ~ incident(X5,X8)
      | ~ incident(X6,X7)
      | ~ incident(X6,X8)
      | X5 = X6
      | X7 = X8 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).

cnf(c_0_52,plain,
    ( goal
    | ~ incident(b3,a1a2)
    | ~ incident(b2,a3a1)
    | ~ incident(b1,a2a3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ~ goal,
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_54,plain,
    ( X1 = X2
    | X3 = X4
    | ~ incident(X4,X2)
    | ~ incident(X4,X1)
    | ~ incident(X3,X2)
    | ~ incident(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_55,plain,
    incident(b1,b1b2),
    inference(split_conjunct,[status(thm)],[ib1b2]) ).

cnf(c_0_56,plain,
    ( ~ incident(b1,a2a3)
    | ~ incident(b2,a3a1)
    | ~ incident(b3,a1a2) ),
    inference(sr,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,plain,
    ( incident(b3,a1a2)
    | incident(a1,b2b3) ),
    inference(split_conjunct,[status(thm)],[gap1]) ).

cnf(c_0_58,plain,
    ( X1 = b1
    | X2 = b1b2
    | ~ incident(b1,X2)
    | ~ incident(X1,b1b2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    ( incident(b1,a2a3)
    | incident(a2,b3b1) ),
    inference(split_conjunct,[status(thm)],[gap2]) ).

cnf(c_0_60,plain,
    ( incident(a1,b2b3)
    | ~ incident(b1,a2a3)
    | ~ incident(b2,a3a1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,plain,
    ( incident(b2,a3a1)
    | incident(a3,b1b2) ),
    inference(split_conjunct,[status(thm)],[gap3]) ).

cnf(c_0_62,plain,
    incident(b2,b2b3),
    inference(split_conjunct,[status(thm)],[ib2b3]) ).

fof(c_0_63,plain,
    ! [X3,X4] :
      ( ~ incident(X3,X4)
      | line(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_line])]) ).

fof(c_0_64,plain,
    ! [X4,X5] :
      ( ( incident(esk2_2(X4,X5),X4)
        | ~ line(X4)
        | ~ line(X5) )
      & ( incident(esk2_2(X4,X5),X5)
        | ~ line(X4)
        | ~ line(X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meet])])])])])]) ).

cnf(c_0_65,plain,
    incident(b3,b3b1),
    inference(split_conjunct,[status(thm)],[ib3b1]) ).

cnf(c_0_66,plain,
    ( a2a3 = b1b2
    | X1 = b1
    | incident(a2,b3b1)
    | ~ incident(X1,b1b2)
    | ~ incident(X1,a2a3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_67,plain,
    incident(a3,a2a3),
    inference(split_conjunct,[status(thm)],[ia3a2]) ).

cnf(c_0_68,plain,
    ( incident(a3,b1b2)
    | incident(a1,b2b3)
    | ~ incident(b1,a2a3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_69,plain,
    ( X1 = b2
    | X2 = b2b3
    | ~ incident(b2,X2)
    | ~ incident(X1,b2b3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_62]) ).

cnf(c_0_70,plain,
    ( line(X1)
    | ~ incident(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    incident(a3,a3a1),
    inference(split_conjunct,[status(thm)],[ia3a1]) ).

cnf(c_0_72,plain,
    ( incident(esk2_2(X2,X1),X2)
    | ~ line(X1)
    | ~ line(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_73,plain,
    ( X1 = b3
    | X2 = b3b1
    | ~ incident(b3,X2)
    | ~ incident(X1,b3b1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_65]) ).

cnf(c_0_74,plain,
    ( b1 = a3
    | a2a3 = b1b2
    | incident(a2,b3b1)
    | ~ incident(a3,b1b2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,plain,
    ( incident(a2,b3b1)
    | incident(a1,b2b3)
    | incident(a3,b1b2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_59]) ).

cnf(c_0_76,plain,
    ( a3a1 = b2b3
    | X1 = b2
    | incident(a3,b1b2)
    | ~ incident(X1,b2b3)
    | ~ incident(X1,a3a1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_61]) ).

cnf(c_0_77,plain,
    ( incident(esk2_2(X2,X1),X1)
    | ~ line(X1)
    | ~ line(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_78,plain,
    line(a3a1),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_79,plain,
    incident(b3,b2b3),
    inference(split_conjunct,[status(thm)],[ib3b2]) ).

cnf(c_0_80,plain,
    ( X1 = esk2_2(X2,X3)
    | X4 = X2
    | ~ line(X3)
    | ~ incident(esk2_2(X2,X3),X4)
    | ~ incident(X1,X2)
    | ~ incident(X1,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_72]),c_0_70]) ).

cnf(c_0_81,plain,
    ( b3b1 = a1a2
    | X1 = b3
    | incident(a1,b2b3)
    | ~ incident(X1,b3b1)
    | ~ incident(X1,a1a2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_57]) ).

cnf(c_0_82,plain,
    ( a2a3 = b1b2
    | b1 = a3
    | incident(a1,b2b3)
    | incident(a2,b3b1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_83,plain,
    incident(a2,a1a2),
    inference(split_conjunct,[status(thm)],[ia2a1]) ).

fof(c_0_84,plain,
    ! [X3,X4] :
      ( ~ incident(X3,X4)
      | point(X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_point])])])]) ).

cnf(c_0_85,plain,
    incident(b2,s2),
    inference(split_conjunct,[status(thm)],[ib2s2]) ).

fof(c_0_86,plain,
    ( ~ incident(a1,b2b3)
    | ~ incident(a2,b3b1)
    | ~ incident(a3,b1b2)
    | goal ),
    inference(fof_nnf,[status(thm)],[t_a_in_b]) ).

cnf(c_0_87,plain,
    ( esk2_2(X1,a3a1) = b2
    | a3a1 = b2b3
    | incident(a3,b1b2)
    | ~ line(X1)
    | ~ incident(esk2_2(X1,a3a1),b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).

cnf(c_0_88,plain,
    line(b2b3),
    inference(spm,[status(thm)],[c_0_70,c_0_79]) ).

cnf(c_0_89,plain,
    ( X1 = esk2_2(X2,X3)
    | X3 = X2
    | ~ incident(X1,X2)
    | ~ incident(X1,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_77]),c_0_70]),c_0_70]) ).

cnf(c_0_90,plain,
    ( b1 = a3
    | a2a3 = b1b2
    | b3 = a2
    | b3b1 = a1a2
    | incident(a1,b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).

cnf(c_0_91,plain,
    incident(b2,b1b2),
    inference(split_conjunct,[status(thm)],[ib2b1]) ).

fof(c_0_92,plain,
    ! [X4,X5] :
      ( ( incident(X4,esk1_2(X4,X5))
        | ~ point(X4)
        | ~ point(X5) )
      & ( incident(X5,esk1_2(X4,X5))
        | ~ point(X4)
        | ~ point(X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[join])])])])])]) ).

cnf(c_0_93,plain,
    ( point(X1)
    | ~ incident(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_94,plain,
    incident(p3,a1a2),
    inference(split_conjunct,[status(thm)],[ip3a]) ).

cnf(c_0_95,plain,
    ( X1 = b2
    | X2 = s2
    | ~ incident(b2,X2)
    | ~ incident(X1,s2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_85]) ).

cnf(c_0_96,plain,
    incident(s,s2),
    inference(split_conjunct,[status(thm)],[iss2]) ).

fof(c_0_97,plain,
    ( b2 != b3
    | goal ),
    inference(fof_nnf,[status(thm)],[diff_b2_b3]) ).

cnf(c_0_98,plain,
    ( goal
    | ~ incident(a3,b1b2)
    | ~ incident(a2,b3b1)
    | ~ incident(a1,b2b3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_99,plain,
    incident(a1,a3a1),
    inference(split_conjunct,[status(thm)],[ia1a3]) ).

cnf(c_0_100,plain,
    ( esk2_2(b2b3,a3a1) = b2
    | a3a1 = b2b3
    | incident(a3,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_72]),c_0_88]),c_0_78])]) ).

cnf(c_0_101,plain,
    ( esk2_2(b2b3,X1) = a1
    | b3b1 = a1a2
    | b3 = a2
    | a2a3 = b1b2
    | b1 = a3
    | X1 = b2b3
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_102,plain,
    incident(b3,s3),
    inference(split_conjunct,[status(thm)],[ib3s3]) ).

cnf(c_0_103,plain,
    ( X1 = b2
    | X2 = b1b2
    | ~ incident(b2,X2)
    | ~ incident(X1,b1b2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_91]) ).

cnf(c_0_104,plain,
    ( incident(X2,esk1_2(X2,X1))
    | ~ point(X1)
    | ~ point(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_105,plain,
    point(b2),
    inference(spm,[status(thm)],[c_0_93,c_0_85]) ).

cnf(c_0_106,plain,
    ( X1 = p3
    | X2 = a1a2
    | ~ incident(p3,X2)
    | ~ incident(X1,a1a2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_94]) ).

cnf(c_0_107,plain,
    ( incident(X1,esk1_2(X2,X1))
    | ~ point(X1)
    | ~ point(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_108,plain,
    point(p3),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

fof(c_0_109,plain,
    ( a1a2 != b1b2
    | goal ),
    inference(fof_nnf,[status(thm)],[not12]) ).

cnf(c_0_110,plain,
    ( s2 = b2b3
    | X1 = b2
    | ~ incident(X1,s2)
    | ~ incident(X1,b2b3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_62]) ).

cnf(c_0_111,plain,
    line(s2),
    inference(spm,[status(thm)],[c_0_70,c_0_96]) ).

cnf(c_0_112,plain,
    ( goal
    | b2 != b3 ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_113,plain,
    ( ~ incident(a1,b2b3)
    | ~ incident(a2,b3b1)
    | ~ incident(a3,b1b2) ),
    inference(sr,[status(thm)],[c_0_98,c_0_53]) ).

cnf(c_0_114,plain,
    ( b2 = a1
    | a3a1 = b2b3
    | incident(a3,b1b2)
    | ~ incident(a1,b2b3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_99]) ).

cnf(c_0_115,plain,
    ( b1 = a3
    | a2a3 = b1b2
    | b3 = a2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | b2 = a1
    | incident(a3,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_99])]) ).

cnf(c_0_116,plain,
    incident(s,s3),
    inference(split_conjunct,[status(thm)],[iss3]) ).

cnf(c_0_117,plain,
    ( X1 = b3
    | X2 = s3
    | ~ incident(b3,X2)
    | ~ incident(X1,s3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_102]) ).

fof(c_0_118,plain,
    ( b3 != b1
    | goal ),
    inference(fof_nnf,[status(thm)],[diff_b3_b1]) ).

cnf(c_0_119,plain,
    ( esk1_2(b2,X1) = b1b2
    | X2 = b2
    | ~ point(X1)
    | ~ incident(X2,esk1_2(b2,X1))
    | ~ incident(X2,b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105])]) ).

cnf(c_0_120,plain,
    ( esk1_2(X1,p3) = a1a2
    | X2 = p3
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,p3))
    | ~ incident(X2,a1a2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).

cnf(c_0_121,plain,
    ( goal
    | a1a2 != b1b2 ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_122,plain,
    ( esk2_2(X1,s2) = b2
    | s2 = b2b3
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s2),b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_77]),c_0_111])]) ).

cnf(c_0_123,plain,
    ( esk2_2(b2b3,X1) = b3
    | X1 = b2b3
    | ~ incident(b3,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_79]) ).

cnf(c_0_124,plain,
    b3 != b2,
    inference(sr,[status(thm)],[c_0_112,c_0_53]) ).

cnf(c_0_125,plain,
    ( a3a1 = b2b3
    | b2 = a1
    | ~ incident(a1,b2b3)
    | ~ incident(a2,b3b1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_126,plain,
    ( b2 = a1
    | a3a1 = b2b3
    | b3b1 = a1a2
    | b3 = a2
    | a2a3 = b1b2
    | b1 = a3
    | incident(a2,b3b1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_115]) ).

cnf(c_0_127,plain,
    ( X1 = s
    | X2 = s3
    | ~ incident(s,X2)
    | ~ incident(X1,s3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_116]) ).

cnf(c_0_128,plain,
    incident(s,s1),
    inference(split_conjunct,[status(thm)],[iss1]) ).

cnf(c_0_129,plain,
    incident(a3,s3),
    inference(split_conjunct,[status(thm)],[ia3s3]) ).

cnf(c_0_130,plain,
    ( s3 = b3b1
    | X1 = b3
    | ~ incident(X1,s3)
    | ~ incident(X1,b3b1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_65]) ).

cnf(c_0_131,plain,
    line(s3),
    inference(spm,[status(thm)],[c_0_70,c_0_116]) ).

cnf(c_0_132,plain,
    incident(b1,b3b1),
    inference(split_conjunct,[status(thm)],[ib1b3]) ).

cnf(c_0_133,plain,
    ( goal
    | b3 != b1 ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_134,plain,
    ( esk1_2(b2,X1) = b1b2
    | X1 = b2
    | ~ incident(X1,b1b2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_107]),c_0_105])]),c_0_93]) ).

cnf(c_0_135,plain,
    ( esk1_2(X1,p3) = a1a2
    | X1 = p3
    | ~ incident(X1,a1a2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_104]),c_0_108])]),c_0_93]) ).

cnf(c_0_136,plain,
    incident(p3,b1b2),
    inference(split_conjunct,[status(thm)],[ip3b]) ).

cnf(c_0_137,plain,
    a1a2 != b1b2,
    inference(sr,[status(thm)],[c_0_121,c_0_53]) ).

cnf(c_0_138,plain,
    ( s2 = b2b3
    | ~ incident(b3,s2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_88]),c_0_79])]),c_0_124]) ).

cnf(c_0_139,plain,
    ( b1 = a3
    | a2a3 = b1b2
    | b3 = a2
    | b3b1 = a1a2
    | b2 = a1
    | a3a1 = b2b3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_90]) ).

cnf(c_0_140,plain,
    incident(a2,s2),
    inference(split_conjunct,[status(thm)],[ia2s2]) ).

cnf(c_0_141,plain,
    ( s3 = s1
    | X1 = s
    | ~ incident(X1,s3)
    | ~ incident(X1,s1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_142,plain,
    incident(b1,s1),
    inference(split_conjunct,[status(thm)],[ib1s1]) ).

cnf(c_0_143,plain,
    ( X1 = a3
    | X2 = s3
    | ~ incident(a3,X2)
    | ~ incident(X1,s3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_129]) ).

fof(c_0_144,plain,
    ( a2 != a3
    | goal ),
    inference(fof_nnf,[status(thm)],[diff_a2_a3]) ).

cnf(c_0_145,plain,
    ( esk2_2(X1,s3) = b3
    | s3 = b3b1
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s3),b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_77]),c_0_131])]) ).

cnf(c_0_146,plain,
    ( esk2_2(b3b1,X1) = b1
    | X1 = b3b1
    | ~ incident(b1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_132]) ).

cnf(c_0_147,plain,
    line(b3b1),
    inference(spm,[status(thm)],[c_0_70,c_0_65]) ).

cnf(c_0_148,plain,
    b3 != b1,
    inference(sr,[status(thm)],[c_0_133,c_0_53]) ).

cnf(c_0_149,plain,
    ( b2 = p3
    | ~ incident(b2,a1a2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]),c_0_137]) ).

cnf(c_0_150,plain,
    ( a3a1 = b2b3
    | b2 = a1
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b1 = a3
    | s2 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_151,plain,
    incident(a1,a1a2),
    inference(split_conjunct,[status(thm)],[ia1a2]) ).

cnf(c_0_152,plain,
    ( X1 = a2
    | X2 = s2
    | ~ incident(a2,X2)
    | ~ incident(X1,s2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_140]) ).

cnf(c_0_153,plain,
    incident(a2,a2a3),
    inference(split_conjunct,[status(thm)],[ia2a3]) ).

cnf(c_0_154,plain,
    ( esk2_2(X1,s3) = s
    | s3 = s1
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s3),s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_77]),c_0_131])]) ).

cnf(c_0_155,plain,
    ( esk2_2(s1,X1) = b1
    | X1 = s1
    | ~ incident(b1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_142]) ).

cnf(c_0_156,plain,
    line(s1),
    inference(spm,[status(thm)],[c_0_70,c_0_128]) ).

cnf(c_0_157,plain,
    ( s3 = a2a3
    | X1 = a3
    | ~ incident(X1,s3)
    | ~ incident(X1,a2a3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_67]) ).

cnf(c_0_158,plain,
    ( goal
    | a2 != a3 ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_159,plain,
    ( s3 = b3b1
    | ~ incident(b1,s3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_132])]),c_0_148]) ).

cnf(c_0_160,plain,
    ( s2 = b2b3
    | b1 = a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).

fof(c_0_161,plain,
    ( b1 != b2
    | goal ),
    inference(fof_nnf,[status(thm)],[diff_b1_b2]) ).

cnf(c_0_162,plain,
    ( s2 = a2a3
    | X1 = a2
    | ~ incident(X1,s2)
    | ~ incident(X1,a2a3) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_163,plain,
    ( s3 = s1
    | s = b1
    | ~ incident(b1,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_142])]) ).

cnf(c_0_164,plain,
    ( X1 = b1
    | X2 = s1
    | ~ incident(b1,X2)
    | ~ incident(X1,s1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_142]) ).

cnf(c_0_165,plain,
    incident(a1,s1),
    inference(split_conjunct,[status(thm)],[ia1s1]) ).

cnf(c_0_166,plain,
    ( b3 = a3
    | s3 = a2a3
    | ~ incident(b3,a2a3) ),
    inference(spm,[status(thm)],[c_0_157,c_0_102]) ).

cnf(c_0_167,plain,
    a3 != a2,
    inference(sr,[status(thm)],[c_0_158,c_0_53]) ).

cnf(c_0_168,plain,
    ( s2 = b1b2
    | X1 = b2
    | ~ incident(X1,s2)
    | ~ incident(X1,b1b2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_91]) ).

cnf(c_0_169,plain,
    ( a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = b2b3
    | s3 = b3b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_129])]) ).

cnf(c_0_170,plain,
    ( goal
    | b1 != b2 ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_171,plain,
    ( s = a2
    | s2 = a2a3
    | ~ incident(s,a2a3) ),
    inference(spm,[status(thm)],[c_0_162,c_0_96]) ).

cnf(c_0_172,plain,
    ( a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = b2b3
    | s = a3
    | s3 = s1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_160]),c_0_129])]) ).

fof(c_0_173,plain,
    ( a2a3 != b2b3
    | goal ),
    inference(fof_nnf,[status(thm)],[not23]) ).

cnf(c_0_174,plain,
    ( s1 = b1b2
    | X1 = b1
    | ~ incident(X1,s1)
    | ~ incident(X1,b1b2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_55]) ).

cnf(c_0_175,plain,
    ( X1 = a1
    | X2 = s1
    | ~ incident(a1,X2)
    | ~ incident(X1,s1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_165]) ).

fof(c_0_176,plain,
    ( a3 != a1
    | goal ),
    inference(fof_nnf,[status(thm)],[diff_a3_a1]) ).

cnf(c_0_177,plain,
    ( a3a1 = b2b3
    | b2 = a1
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b1 = a3
    | s3 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_139]),c_0_153])]),c_0_167]) ).

cnf(c_0_178,plain,
    ( s = b2
    | s2 = b1b2
    | ~ incident(s,b1b2) ),
    inference(spm,[status(thm)],[c_0_168,c_0_96]) ).

cnf(c_0_179,plain,
    ( s2 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s = b1
    | s1 = b3b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_169]),c_0_132])]) ).

cnf(c_0_180,plain,
    b2 != b1,
    inference(sr,[status(thm)],[c_0_170,c_0_53]) ).

cnf(c_0_181,plain,
    ( s3 = s1
    | s2 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s2 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_67])]),c_0_167]) ).

cnf(c_0_182,plain,
    ( goal
    | a2a3 != b2b3 ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_183,plain,
    ( esk2_2(X1,s1) = b1
    | s1 = b1b2
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s1),b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_77]),c_0_156])]) ).

cnf(c_0_184,plain,
    ( esk2_2(b1b2,X1) = b2
    | X1 = b1b2
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_91]) ).

cnf(c_0_185,plain,
    line(b1b2),
    inference(spm,[status(thm)],[c_0_70,c_0_91]) ).

cnf(c_0_186,plain,
    ( s3 = s2
    | X1 = s
    | ~ incident(X1,s3)
    | ~ incident(X1,s2) ),
    inference(spm,[status(thm)],[c_0_127,c_0_96]) ).

cnf(c_0_187,plain,
    ( s1 = a3a1
    | X1 = a1
    | ~ incident(X1,s1)
    | ~ incident(X1,a3a1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_99]) ).

cnf(c_0_188,plain,
    ( goal
    | a3 != a1 ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_189,plain,
    ( s3 = a2a3
    | b1 = a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_177]),c_0_151])]) ).

cnf(c_0_190,plain,
    ( s1 = b3b1
    | a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = b2b3
    | s2 = b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_55])]),c_0_180]) ).

cnf(c_0_191,plain,
    ( s2 = a2a3
    | a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = b2b3
    | s1 = b3b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_181]),c_0_142])]) ).

cnf(c_0_192,plain,
    a2a3 != b2b3,
    inference(sr,[status(thm)],[c_0_182,c_0_53]) ).

cnf(c_0_193,plain,
    ( s1 = b1b2
    | ~ incident(b2,s1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_91])]),c_0_180]) ).

cnf(c_0_194,plain,
    ( esk2_2(X1,s3) = s
    | s3 = s2
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s3),s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_77]),c_0_131])]) ).

cnf(c_0_195,plain,
    ( esk2_2(s2,X1) = a2
    | X1 = s2
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_140]) ).

cnf(c_0_196,plain,
    ( b1 = a1
    | s1 = a3a1
    | ~ incident(b1,a3a1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_142]) ).

cnf(c_0_197,plain,
    a3 != a1,
    inference(sr,[status(thm)],[c_0_188,c_0_53]) ).

fof(c_0_198,plain,
    ( a1 != a2
    | goal ),
    inference(fof_nnf,[status(thm)],[diff_a1_a2]) ).

cnf(c_0_199,plain,
    ( a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s3 = a2a3
    | s = a3
    | s3 = s1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_189]),c_0_129])]) ).

cnf(c_0_200,plain,
    ( s1 = b3b1
    | X1 = b1
    | ~ incident(X1,s1)
    | ~ incident(X1,b3b1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_132]) ).

cnf(c_0_201,plain,
    ( s = b3
    | s3 = s2
    | ~ incident(b3,s2) ),
    inference(spm,[status(thm)],[c_0_186,c_0_102]) ).

cnf(c_0_202,plain,
    ( s2 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s1 = b3b1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).

cnf(c_0_203,plain,
    ( s3 = a2a3
    | b1 = a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_177]),c_0_165])]) ).

cnf(c_0_204,plain,
    ( s2 = b2b3
    | b1 = a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_150]),c_0_165])]) ).

cnf(c_0_205,plain,
    ( s1 = a1a2
    | X1 = a1
    | ~ incident(X1,s1)
    | ~ incident(X1,a1a2) ),
    inference(spm,[status(thm)],[c_0_175,c_0_151]) ).

cnf(c_0_206,plain,
    ( s3 = s2
    | s = a2
    | ~ incident(a2,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_111]),c_0_140])]) ).

cnf(c_0_207,plain,
    ( a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s3 = a2a3
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_189]),c_0_71])]),c_0_197]) ).

cnf(c_0_208,plain,
    ( goal
    | a1 != a2 ),
    inference(split_conjunct,[status(thm)],[c_0_198]) ).

cnf(c_0_209,plain,
    ( s3 = s1
    | s3 = a2a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s2 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_199]),c_0_67])]),c_0_167]) ).

cnf(c_0_210,plain,
    ( s = b1
    | s1 = b3b1
    | ~ incident(s,b3b1) ),
    inference(spm,[status(thm)],[c_0_200,c_0_128]) ).

cnf(c_0_211,plain,
    ( s1 = b3b1
    | a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s3 = b2b3
    | s = b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_79])]) ).

cnf(c_0_212,plain,
    ( s1 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s3 = a2a3
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_203]),c_0_71])]),c_0_197]) ).

cnf(c_0_213,plain,
    ( s1 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = b2b3
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_204]),c_0_71])]),c_0_197]) ).

cnf(c_0_214,plain,
    incident(p1,a2a3),
    inference(split_conjunct,[status(thm)],[ip1a]) ).

cnf(c_0_215,plain,
    ( s = a1
    | s1 = a1a2
    | ~ incident(s,a1a2) ),
    inference(spm,[status(thm)],[c_0_205,c_0_128]) ).

cnf(c_0_216,plain,
    ( s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s = a2
    | s2 = a2a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_153])]) ).

cnf(c_0_217,plain,
    a2 != a1,
    inference(sr,[status(thm)],[c_0_208,c_0_53]) ).

cnf(c_0_218,plain,
    ( s2 = a2a3
    | a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s3 = a2a3
    | s1 = b3b1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_209]),c_0_142])]) ).

cnf(c_0_219,plain,
    ( s3 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s1 = b3b1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_65])]),c_0_148]) ).

fof(c_0_220,plain,
    ( a3a1 != b3b1
    | goal ),
    inference(fof_nnf,[status(thm)],[not31]) ).

cnf(c_0_221,plain,
    ( s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2
    | s = a2
    | s2 = a2a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_212]),c_0_153])]) ).

cnf(c_0_222,plain,
    ( s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2
    | s3 = b2b3
    | s = b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_213]),c_0_79])]) ).

cnf(c_0_223,plain,
    ( s2 = a1a2
    | X1 = a2
    | ~ incident(X1,s2)
    | ~ incident(X1,a1a2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_83]) ).

cnf(c_0_224,plain,
    ( X1 = p1
    | X2 = a2a3
    | ~ incident(p1,X2)
    | ~ incident(X1,a2a3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_214]) ).

cnf(c_0_225,plain,
    incident(p1,b2b3),
    inference(split_conjunct,[status(thm)],[ip1b]) ).

cnf(c_0_226,plain,
    ( esk2_2(a3a1,X1) = a3
    | X1 = a3a1
    | ~ incident(a3,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_71]) ).

cnf(c_0_227,plain,
    ( esk2_2(a3a1,X1) = a1
    | X1 = a3a1
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_99]) ).

cnf(c_0_228,plain,
    ( a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = b2b3
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_160]),c_0_71])]),c_0_197]) ).

cnf(c_0_229,plain,
    ( s2 = a2a3
    | a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a3a1
    | s1 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_83])]),c_0_217]) ).

cnf(c_0_230,plain,
    ( s1 = b3b1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3
    | s2 = a2a3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_192]) ).

cnf(c_0_231,plain,
    ( goal
    | a3a1 != b3b1 ),
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_232,plain,
    ( s2 = a2a3
    | s1 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a3a1
    | s1 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_221]),c_0_83])]),c_0_217]) ).

cnf(c_0_233,plain,
    ( s3 = b2b3
    | s1 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a3a1
    | s1 = b3b1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_222]),c_0_65])]),c_0_148]) ).

cnf(c_0_234,plain,
    ( b2 = a2
    | s2 = a1a2
    | ~ incident(b2,a1a2) ),
    inference(spm,[status(thm)],[c_0_223,c_0_85]) ).

cnf(c_0_235,plain,
    ( s3 = b2b3
    | X1 = b3
    | ~ incident(X1,s3)
    | ~ incident(X1,b2b3) ),
    inference(spm,[status(thm)],[c_0_117,c_0_79]) ).

cnf(c_0_236,plain,
    ( X1 = p1
    | ~ incident(X1,a2a3)
    | ~ incident(X1,b2b3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_192]) ).

cnf(c_0_237,plain,
    line(a2a3),
    inference(spm,[status(thm)],[c_0_70,c_0_67]) ).

cnf(c_0_238,plain,
    ( a3a1 = b1b2
    | X1 = b2
    | incident(a3,b1b2)
    | ~ incident(X1,b1b2)
    | ~ incident(X1,a3a1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_61]) ).

cnf(c_0_239,plain,
    ( X1 = a3a1
    | ~ incident(a3,X1)
    | ~ incident(a1,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_197]) ).

cnf(c_0_240,plain,
    ( s1 = a1a2
    | s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a1 = p3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_192]) ).

cnf(c_0_241,plain,
    ( s1 = b3b1
    | a1 = p3
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_230]),c_0_192]) ).

cnf(c_0_242,plain,
    a3a1 != b3b1,
    inference(sr,[status(thm)],[c_0_231,c_0_53]) ).

cnf(c_0_243,plain,
    ( s1 = a1a2
    | s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_232]),c_0_192]) ).

cnf(c_0_244,plain,
    ( s1 = b3b1
    | s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_233]),c_0_192]) ).

cnf(c_0_245,plain,
    ( s3 = a2a3
    | b1 = a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s2 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_177]),c_0_151])]),c_0_217]) ).

cnf(c_0_246,plain,
    ( esk2_2(s3,X1) = b3
    | s3 = b2b3
    | ~ line(X1)
    | ~ incident(esk2_2(s3,X1),b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_72]),c_0_131])]) ).

cnf(c_0_247,plain,
    ( esk2_2(a2a3,X1) = p1
    | ~ line(X1)
    | ~ incident(esk2_2(a2a3,X1),b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_72]),c_0_237])]) ).

cnf(c_0_248,plain,
    ( b2 = a1
    | a3a1 = b1b2
    | ~ incident(a1,b1b2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_99]),c_0_239]) ).

cnf(c_0_249,plain,
    ( a1 = p3
    | a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).

cnf(c_0_250,plain,
    ( s1 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a1a2
    | a3a1 != b1b2 ),
    inference(ef,[status(thm)],[c_0_243]) ).

cnf(c_0_251,plain,
    ( s1 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = b3b1
    | a3a1 != b1b2 ),
    inference(ef,[status(thm)],[c_0_244]) ).

cnf(c_0_252,plain,
    ( X1 = s
    | X2 = s2
    | ~ incident(s,X2)
    | ~ incident(X1,s2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_96]) ).

cnf(c_0_253,plain,
    ( s2 = a1a2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s3 = a2a3
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_245]),c_0_71])]),c_0_197]) ).

cnf(c_0_254,plain,
    ( esk2_2(s3,b2b3) = b3
    | s3 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_77]),c_0_88]),c_0_131])]) ).

cnf(c_0_255,plain,
    esk2_2(a2a3,b2b3) = p1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_77]),c_0_88]),c_0_237])]) ).

cnf(c_0_256,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3
    | a3a1 = b1b2
    | b2 = p3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_136])]) ).

cnf(c_0_257,plain,
    ( b1 = a1
    | s1 = b1b2
    | ~ incident(a1,b1b2) ),
    inference(spm,[status(thm)],[c_0_174,c_0_165]) ).

cnf(c_0_258,plain,
    ( s1 = b1b2
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | b3b1 = b1b2
    | a3a1 != b1b2 ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_259,plain,
    ( s2 = s1
    | X1 = s
    | ~ incident(X1,s2)
    | ~ incident(X1,s1) ),
    inference(spm,[status(thm)],[c_0_252,c_0_128]) ).

cnf(c_0_260,plain,
    ( esk2_2(s2,X1) = b2
    | s2 = b2b3
    | ~ line(X1)
    | ~ incident(esk2_2(s2,X1),b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_72]),c_0_111])]) ).

cnf(c_0_261,plain,
    ( s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s2 = a1a2
    | s = a2
    | s2 = a2a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_253]),c_0_153])]) ).

cnf(c_0_262,plain,
    ( s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s2 = a1a2
    | b3 = p1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_253]),c_0_255]),c_0_192]) ).

cnf(c_0_263,plain,
    ( a3a1 = b1b2
    | a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | b1 != p3 ),
    inference(spm,[status(thm)],[c_0_180,c_0_256]) ).

cnf(c_0_264,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3
    | s1 = b1b2
    | b1 = p3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_249]),c_0_136])]) ).

cnf(c_0_265,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s1 = b1b2
    | a3a1 != b1b2 ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_251]),c_0_258]) ).

cnf(c_0_266,plain,
    ( esk2_2(X1,s2) = s
    | s2 = s1
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s2),s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_77]),c_0_111])]) ).

cnf(c_0_267,plain,
    ( esk2_2(s1,X1) = a1
    | X1 = s1
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_165]) ).

cnf(c_0_268,plain,
    ( esk2_2(s2,b2b3) = b2
    | s2 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_77]),c_0_88]),c_0_111])]) ).

cnf(c_0_269,plain,
    ( s2 = a2a3
    | s2 = a1a2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a3a1
    | s1 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_261]),c_0_83])]),c_0_217]) ).

cnf(c_0_270,plain,
    ( s2 = a1a2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a3a1
    | b2 != p1 ),
    inference(spm,[status(thm)],[c_0_124,c_0_262]) ).

cnf(c_0_271,plain,
    ( esk2_2(X1,X2) = esk2_2(X2,X3)
    | X3 = X2
    | ~ line(X1)
    | ~ line(X2)
    | ~ incident(esk2_2(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_77]) ).

cnf(c_0_272,plain,
    ( esk2_2(a2a3,X1) = a3
    | X1 = a2a3
    | ~ incident(a3,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_67]) ).

cnf(c_0_273,plain,
    ( esk2_2(a2a3,X1) = p1
    | X1 = a2a3
    | ~ incident(p1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_214]) ).

cnf(c_0_274,plain,
    ( s = b2
    | s2 = s1
    | ~ incident(b2,s1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_85]) ).

cnf(c_0_275,plain,
    ( s1 = b1b2
    | b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).

cnf(c_0_276,plain,
    ( s3 = a3a1
    | X1 = a3
    | ~ incident(X1,s3)
    | ~ incident(X1,a3a1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_71]) ).

cnf(c_0_277,plain,
    ( s2 = s1
    | s = a1
    | ~ incident(a1,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_156]),c_0_165])]) ).

cnf(c_0_278,plain,
    ( s1 = a1a2
    | s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s2 = a1a2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_255]),c_0_192]),c_0_270]) ).

cnf(c_0_279,plain,
    ( X1 = b3
    | X2 = b2b3
    | ~ incident(b3,X2)
    | ~ incident(X1,b2b3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_79]) ).

cnf(c_0_280,plain,
    point(b3),
    inference(spm,[status(thm)],[c_0_93,c_0_102]) ).

cnf(c_0_281,plain,
    point(p1),
    inference(spm,[status(thm)],[c_0_93,c_0_214]) ).

cnf(c_0_282,plain,
    ( esk2_2(X1,X2) = esk2_2(X2,X1)
    | X1 = X2
    | ~ line(X1)
    | ~ line(X2) ),
    inference(spm,[status(thm)],[c_0_271,c_0_72]) ).

cnf(c_0_283,plain,
    ( a3 = p1
    | X1 = a2a3
    | ~ incident(a3,X1)
    | ~ incident(p1,X1) ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_284,plain,
    ( s = b3
    | s3 = b2b3
    | ~ incident(s,b2b3) ),
    inference(spm,[status(thm)],[c_0_235,c_0_116]) ).

cnf(c_0_285,plain,
    ( a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | s2 = b1b2
    | s = b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_91])]) ).

cnf(c_0_286,plain,
    ( esk2_2(s3,X1) = s
    | s3 = s1
    | ~ line(X1)
    | ~ incident(esk2_2(s3,X1),s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_72]),c_0_131])]) ).

cnf(c_0_287,plain,
    ( s = a3
    | s3 = a3a1
    | ~ incident(s,a3a1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_116]) ).

cnf(c_0_288,plain,
    ( a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a3a1
    | s = a1
    | s1 = a1a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_151])]) ).

cnf(c_0_289,plain,
    ( esk1_2(b3,X1) = b2b3
    | X2 = b3
    | ~ point(X1)
    | ~ incident(X2,esk1_2(b3,X1))
    | ~ incident(X2,b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_104]),c_0_280])]) ).

cnf(c_0_290,plain,
    ( esk1_2(X1,p1) = a2a3
    | X2 = p1
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,p1))
    | ~ incident(X2,a2a3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_107]),c_0_281])]) ).

cnf(c_0_291,plain,
    ( esk2_2(X1,a3a1) = a3
    | X1 = a3a1
    | ~ incident(a3,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_282]),c_0_78])]),c_0_70]) ).

cnf(c_0_292,plain,
    ( s3 = a2a3
    | a3 = p1
    | ~ incident(p1,s3) ),
    inference(spm,[status(thm)],[c_0_283,c_0_129]) ).

cnf(c_0_293,plain,
    ( s2 = b1b2
    | b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3
    | s3 = b2b3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_62])]),c_0_124]) ).

cnf(c_0_294,plain,
    ( esk2_2(X1,s1) = a1
    | s1 = a3a1
    | ~ line(X1)
    | ~ incident(esk2_2(X1,s1),a3a1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_77]),c_0_156])]) ).

cnf(c_0_295,plain,
    ( esk2_2(s3,s1) = s
    | s3 = s1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_77]),c_0_156]),c_0_131])]) ).

cnf(c_0_296,plain,
    ( s1 = a1a2
    | s1 = a3a1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s3 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_99])]),c_0_197]) ).

cnf(c_0_297,plain,
    ( X1 = a2
    | X2 = a1a2
    | ~ incident(a2,X2)
    | ~ incident(X1,a1a2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_83]) ).

cnf(c_0_298,plain,
    point(a2),
    inference(spm,[status(thm)],[c_0_93,c_0_140]) ).

cnf(c_0_299,plain,
    point(a1),
    inference(spm,[status(thm)],[c_0_93,c_0_165]) ).

cnf(c_0_300,plain,
    ( esk1_2(b3,X1) = b2b3
    | X1 = b3
    | ~ incident(X1,b2b3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_107]),c_0_280])]),c_0_93]) ).

cnf(c_0_301,plain,
    ( esk1_2(X1,p1) = a2a3
    | X1 = p1
    | ~ incident(X1,a2a3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_104]),c_0_281])]),c_0_93]) ).

cnf(c_0_302,plain,
    ( b1 = a3
    | a2a3 = b1b2
    | b3 = a2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | ~ incident(a3,b2b3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_101]),c_0_99])]),c_0_197]) ).

cnf(c_0_303,plain,
    ( a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | s2 = b1b2
    | a3 = p1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_225])]),c_0_192]) ).

cnf(c_0_304,plain,
    ( esk2_2(a3a1,s1) = a1
    | s1 = a3a1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_72]),c_0_78]),c_0_156])]) ).

cnf(c_0_305,plain,
    ( esk2_2(a3a1,s1) = s
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | s1 = a1a2
    | s1 = a3a1 ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_306,plain,
    incident(p2,a3a1),
    inference(split_conjunct,[status(thm)],[ip2a]) ).

cnf(c_0_307,plain,
    ( esk1_2(a2,X1) = a1a2
    | X2 = a2
    | ~ point(X1)
    | ~ incident(X2,esk1_2(a2,X1))
    | ~ incident(X2,a1a2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_104]),c_0_298])]) ).

cnf(c_0_308,plain,
    ( esk1_2(X1,a1) = s1
    | X2 = a1
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,a1))
    | ~ incident(X2,s1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_107]),c_0_299])]) ).

cnf(c_0_309,plain,
    ( esk2_2(a1a2,X1) = a2
    | X1 = a1a2
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_83]) ).

cnf(c_0_310,plain,
    ( esk2_2(a1a2,X1) = p3
    | X1 = a1a2
    | ~ incident(p3,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_94]) ).

cnf(c_0_311,plain,
    ( b3b1 = b2b3
    | X1 = b3
    | ~ incident(X1,b3b1)
    | ~ incident(X1,b2b3) ),
    inference(spm,[status(thm)],[c_0_73,c_0_79]) ).

cnf(c_0_312,plain,
    ( b3 = p1
    | ~ incident(b3,a2a3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_225])]),c_0_192]) ).

cnf(c_0_313,plain,
    ( s2 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | b3 = a2
    | a2a3 = b1b2
    | b1 = p1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_225])]) ).

cnf(c_0_314,plain,
    ( s2 = b1b2
    | b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3
    | a2 != p1 ),
    inference(spm,[status(thm)],[c_0_167,c_0_303]) ).

cnf(c_0_315,plain,
    ( esk2_2(a3a1,b1b2) = a1
    | a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b1b2 ),
    inference(spm,[status(thm)],[c_0_304,c_0_275]) ).

cnf(c_0_316,plain,
    ( esk2_2(a3a1,b1b2) = s
    | a3a1 = b1b2
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_275]),c_0_137]) ).

cnf(c_0_317,plain,
    ( X1 = p2
    | X2 = a3a1
    | ~ incident(p2,X2)
    | ~ incident(X1,a3a1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_306]) ).

cnf(c_0_318,plain,
    point(p2),
    inference(spm,[status(thm)],[c_0_93,c_0_306]) ).

cnf(c_0_319,plain,
    ( esk1_2(a2,X1) = a1a2
    | X1 = a2
    | ~ incident(X1,a1a2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_107]),c_0_298])]),c_0_93]) ).

cnf(c_0_320,plain,
    ( esk1_2(X1,a1) = s1
    | X1 = a1
    | ~ incident(X1,s1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_104]),c_0_299])]),c_0_93]) ).

cnf(c_0_321,plain,
    ( a2 = p3
    | X1 = a1a2
    | ~ incident(a2,X1)
    | ~ incident(p3,X1) ),
    inference(spm,[status(thm)],[c_0_309,c_0_310]) ).

cnf(c_0_322,plain,
    ( b3b1 = b2b3
    | ~ incident(b1,b2b3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_132]),c_0_148]) ).

cnf(c_0_323,plain,
    ( b1 = p1
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | s2 = b1b2 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_153])]),c_0_314]) ).

cnf(c_0_324,plain,
    ( a3a1 = b1b2
    | b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3
    | s = a1 ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_325,plain,
    ( esk1_2(b3,X1) = b3b1
    | X2 = b3
    | ~ point(X1)
    | ~ incident(X2,esk1_2(b3,X1))
    | ~ incident(X2,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_104]),c_0_280])]) ).

cnf(c_0_326,plain,
    ( esk1_2(X1,p2) = a3a1
    | X2 = p2
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,p2))
    | ~ incident(X2,a3a1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_107]),c_0_318])]) ).

cnf(c_0_327,plain,
    ( s1 = a1a2
    | ~ incident(a2,s1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_151])]),c_0_217]) ).

cnf(c_0_328,plain,
    ( s2 = a1a2
    | a2 = p3
    | ~ incident(p3,s2) ),
    inference(spm,[status(thm)],[c_0_321,c_0_140]) ).

cnf(c_0_329,plain,
    ( s2 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b3b1 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_225])]) ).

cnf(c_0_330,plain,
    ( X1 = b1
    | X2 = b3b1
    | ~ incident(b1,X2)
    | ~ incident(X1,b3b1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_132]) ).

cnf(c_0_331,plain,
    point(b1),
    inference(spm,[status(thm)],[c_0_93,c_0_142]) ).

cnf(c_0_332,plain,
    ( s = a2
    | s2 = a1a2
    | ~ incident(s,a1a2) ),
    inference(spm,[status(thm)],[c_0_223,c_0_96]) ).

cnf(c_0_333,plain,
    ( a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b1b2
    | s3 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_324]),c_0_99])]),c_0_197]) ).

cnf(c_0_334,plain,
    ( esk1_2(b3,X1) = b3b1
    | X1 = b3
    | ~ incident(X1,b3b1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_107]),c_0_280])]),c_0_93]) ).

cnf(c_0_335,plain,
    ( esk1_2(X1,p2) = a3a1
    | X1 = p2
    | ~ incident(X1,a3a1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_104]),c_0_318])]),c_0_93]) ).

cnf(c_0_336,plain,
    incident(p2,b3b1),
    inference(split_conjunct,[status(thm)],[ip2b]) ).

cnf(c_0_337,plain,
    ( a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | ~ incident(a2,b1b2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_275]),c_0_137]) ).

cnf(c_0_338,plain,
    ( b3b1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a2 = p3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_136])]),c_0_137]) ).

cnf(c_0_339,plain,
    ( esk1_2(b1,X1) = b3b1
    | X2 = b1
    | ~ point(X1)
    | ~ incident(X2,esk1_2(b1,X1))
    | ~ incident(X2,b3b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_104]),c_0_331])]) ).

cnf(c_0_340,plain,
    ( a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b1b2
    | s2 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_324]),c_0_151])]),c_0_217]) ).

cnf(c_0_341,plain,
    ( a3a1 = b1b2
    | a3a1 = b2b3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | s2 = b1b2 ),
    inference(spm,[status(thm)],[c_0_293,c_0_333]) ).

cnf(c_0_342,plain,
    ( b3 = p2
    | ~ incident(b3,a3a1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336])]),c_0_242]) ).

cnf(c_0_343,plain,
    ( b3b1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_136])]) ).

cnf(c_0_344,plain,
    ( esk1_2(b1,X1) = b3b1
    | X1 = b1
    | ~ incident(X1,b3b1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_107]),c_0_331])]),c_0_93]) ).

cnf(c_0_345,plain,
    ( a3a1 = b1b2
    | b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_137]) ).

cnf(c_0_346,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | b3b1 = b2b3
    | b3 = p2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_79])]) ).

cnf(c_0_347,plain,
    ( b1 = p2
    | ~ incident(b1,a3a1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_335]),c_0_336])]),c_0_242]) ).

cnf(c_0_348,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b1b2
    | b2b3 != b1b2 ),
    inference(ef,[status(thm)],[c_0_345]) ).

cnf(c_0_349,plain,
    ( esk2_2(b1b2,X1) = b1
    | X1 = b1b2
    | ~ incident(b1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_55]) ).

cnf(c_0_350,plain,
    ( b3b1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b1 != p2 ),
    inference(spm,[status(thm)],[c_0_148,c_0_346]) ).

cnf(c_0_351,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | b1 = p2
    | b2b3 != b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_55])]) ).

cnf(c_0_352,plain,
    ( X1 = b1b2
    | ~ incident(b2,X1)
    | ~ incident(b1,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_349]),c_0_180]) ).

cnf(c_0_353,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | b3b1 != b1b2
    | b2b3 != b1b2 ),
    inference(spm,[status(thm)],[c_0_242,c_0_348]) ).

cnf(c_0_354,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | b3b1 = b2b3
    | b2b3 != b1b2 ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_355,plain,
    ( b2b3 = b1b2
    | ~ incident(b1,b2b3) ),
    inference(spm,[status(thm)],[c_0_352,c_0_62]) ).

cnf(c_0_356,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | b2b3 = a1a2
    | b2b3 != b1b2 ),
    inference(spm,[status(thm)],[c_0_353,c_0_354]) ).

cnf(c_0_357,plain,
    ( X1 = a2
    | X2 = a2a3
    | ~ incident(a2,X2)
    | ~ incident(X1,a2a3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_153]) ).

cnf(c_0_358,plain,
    ( s2 = b1b2
    | a3a1 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b2b3 = b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_323]),c_0_225])]) ).

cnf(c_0_359,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | b2b3 != b1b2 ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_354]),c_0_356]) ).

cnf(c_0_360,plain,
    ( esk1_2(X1,a2) = a2a3
    | X2 = a2
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,a2))
    | ~ incident(X2,a2a3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_107]),c_0_298])]) ).

cnf(c_0_361,plain,
    ( b3b1 = a2a3
    | X1 = b1
    | incident(a2,b3b1)
    | ~ incident(X1,b3b1)
    | ~ incident(X1,a2a3) ),
    inference(spm,[status(thm)],[c_0_330,c_0_59]) ).

cnf(c_0_362,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | a3a1 = b2b3
    | a2 = p3 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_358]),c_0_136])]),c_0_137]),c_0_359]) ).

cnf(c_0_363,plain,
    ( X1 = a3
    | X2 = a2a3
    | ~ incident(a3,X2)
    | ~ incident(X1,a2a3)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_67]) ).

cnf(c_0_364,plain,
    point(a3),
    inference(spm,[status(thm)],[c_0_93,c_0_129]) ).

cnf(c_0_365,plain,
    ( esk1_2(X1,a2) = a2a3
    | X1 = a2
    | ~ incident(X1,a2a3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_104]),c_0_298])]),c_0_93]) ).

cnf(c_0_366,plain,
    ( b3b1 = a2a3
    | incident(a2,b3b1)
    | ~ incident(b3,a2a3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_65]),c_0_148]) ).

cnf(c_0_367,plain,
    ( b3 = a3
    | s3 = a3a1
    | ~ incident(b3,a3a1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_102]) ).

cnf(c_0_368,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | a3a1 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_362]),c_0_136])]) ).

cnf(c_0_369,plain,
    ( esk1_2(a3,X1) = a2a3
    | X2 = a3
    | ~ point(X1)
    | ~ incident(X2,esk1_2(a3,X1))
    | ~ incident(X2,a2a3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_104]),c_0_364])]) ).

cnf(c_0_370,plain,
    ( esk1_2(X1,a2) = s2
    | X2 = a2
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,a2))
    | ~ incident(X2,s2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_107]),c_0_298])]) ).

cnf(c_0_371,plain,
    ( esk2_2(s2,X1) = b2
    | X1 = s2
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_85]) ).

cnf(c_0_372,plain,
    ( b3 = a2
    | b3b1 = a2a3
    | ~ incident(b3,a2a3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_365]),c_0_366]) ).

cnf(c_0_373,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | s3 = b2b3
    | b3 = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_79])]) ).

cnf(c_0_374,plain,
    ( esk1_2(a3,X1) = a2a3
    | X1 = a3
    | ~ incident(X1,a2a3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_107]),c_0_364])]),c_0_93]) ).

cnf(c_0_375,plain,
    ( esk1_2(X1,a2) = s2
    | X1 = a2
    | ~ incident(X1,s2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_104]),c_0_298])]),c_0_93]) ).

cnf(c_0_376,plain,
    ( a3a1 = a2a3
    | a3 = p1
    | ~ incident(p1,a3a1) ),
    inference(spm,[status(thm)],[c_0_283,c_0_71]) ).

cnf(c_0_377,plain,
    ( s3 = s2
    | s = b2
    | ~ incident(b2,s3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_371]),c_0_111]),c_0_85])]) ).

cnf(c_0_378,plain,
    ( s3 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b3b1 = a2a3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_67])]),c_0_167]) ).

fof(c_0_379,plain,
    ! [X2] :
      ( ~ incident(p3,X2)
      | ~ incident(p1,X2)
      | ~ incident(p2,X2)
      | goal ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])])])]) ).

cnf(c_0_380,plain,
    ( esk2_2(a1a2,X1) = a1
    | X1 = a1a2
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_151]) ).

cnf(c_0_381,plain,
    ( s2 = a2a3
    | ~ incident(a3,s2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_153])]),c_0_167]) ).

cnf(c_0_382,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | a3 = p1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_368]),c_0_225])]),c_0_192]) ).

cnf(c_0_383,plain,
    ( s = b1
    | s1 = b1b2
    | ~ incident(s,b1b2) ),
    inference(spm,[status(thm)],[c_0_174,c_0_128]) ).

cnf(c_0_384,plain,
    ( b3b1 = a2a3
    | a2a3 = b1b2
    | b3b1 = a1a2
    | s = b2
    | s2 = b2b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_62])]) ).

cnf(c_0_385,plain,
    ( goal
    | ~ incident(p2,X1)
    | ~ incident(p1,X1)
    | ~ incident(p3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_386,plain,
    ( a1 = p3
    | X1 = a1a2
    | ~ incident(a1,X1)
    | ~ incident(p3,X1) ),
    inference(spm,[status(thm)],[c_0_380,c_0_310]) ).

cnf(c_0_387,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | s2 = a2a3
    | ~ incident(p1,s2) ),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_388,plain,
    ( s2 = b2b3
    | b3b1 = a1a2
    | a2a3 = b1b2
    | b3b1 = a2a3
    | s1 = b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_91])]),c_0_180]) ).

cnf(c_0_389,plain,
    ( ~ incident(p3,X1)
    | ~ incident(p1,X1)
    | ~ incident(p2,X1) ),
    inference(sr,[status(thm)],[c_0_385,c_0_53]) ).

cnf(c_0_390,plain,
    ( s1 = a1a2
    | a1 = p3
    | ~ incident(p3,s1) ),
    inference(spm,[status(thm)],[c_0_386,c_0_165]) ).

cnf(c_0_391,plain,
    ( s1 = b1b2
    | b3b1 = a2a3
    | a2a3 = b1b2
    | b3b1 = a1a2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_225])]),c_0_192]) ).

cnf(c_0_392,plain,
    ( ~ incident(p3,a3a1)
    | ~ incident(p1,a3a1) ),
    inference(spm,[status(thm)],[c_0_389,c_0_306]) ).

cnf(c_0_393,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | incident(p1,a3a1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_382]) ).

cnf(c_0_394,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | b3b1 = a2a3
    | a1 = p3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_136])]),c_0_137]) ).

cnf(c_0_395,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | ~ incident(p3,a3a1) ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_396,plain,
    ( a2a3 = b1b2
    | b3b1 = a1a2
    | b3 = p2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_368]),c_0_79])]) ).

cnf(c_0_397,plain,
    ( b3b1 = a2a3
    | a2a3 = b1b2
    | b3b1 = a1a2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_394]),c_0_395]) ).

cnf(c_0_398,plain,
    ( esk2_2(b1b2,X1) = p3
    | X1 = b1b2
    | ~ incident(p3,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_136]) ).

cnf(c_0_399,plain,
    ( X1 = p2
    | ~ incident(X1,a3a1)
    | ~ incident(X1,b3b1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_336]),c_0_242]) ).

cnf(c_0_400,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | p2 = p1
    | ~ incident(p2,a2a3) ),
    inference(spm,[status(thm)],[c_0_312,c_0_396]) ).

cnf(c_0_401,plain,
    ( b3b1 = a1a2
    | a2a3 = b1b2
    | incident(p2,a2a3) ),
    inference(spm,[status(thm)],[c_0_336,c_0_397]) ).

cnf(c_0_402,plain,
    ( b1 = p3
    | X1 = b1b2
    | ~ incident(b1,X1)
    | ~ incident(p3,X1) ),
    inference(spm,[status(thm)],[c_0_349,c_0_398]) ).

cnf(c_0_403,plain,
    ( a1 = p2
    | ~ incident(a1,b3b1) ),
    inference(spm,[status(thm)],[c_0_399,c_0_99]) ).

cnf(c_0_404,plain,
    ( p2 = p1
    | a2a3 = b1b2
    | b3b1 = a1a2 ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_405,plain,
    ( b3b1 = b1b2
    | b1 = p3
    | ~ incident(p3,b3b1) ),
    inference(spm,[status(thm)],[c_0_402,c_0_132]) ).

cnf(c_0_406,plain,
    ( b1 = a1
    | s1 = b3b1
    | ~ incident(a1,b3b1) ),
    inference(spm,[status(thm)],[c_0_200,c_0_165]) ).

cnf(c_0_407,plain,
    ( a2a3 = b1b2
    | p2 = p1
    | a1 = p2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_151])]) ).

cnf(c_0_408,plain,
    ( a2a3 = b1b2
    | p2 = p1
    | b1 = p3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_404]),c_0_94])]),c_0_137]) ).

cnf(c_0_409,plain,
    ( p2 = p1
    | a2a3 = b1b2
    | s1 = b3b1
    | b1 = p2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_336])]) ).

cnf(c_0_410,plain,
    ( s = b3
    | s3 = s1
    | ~ incident(b3,s1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_102]) ).

cnf(c_0_411,plain,
    ( s1 = b3b1
    | p2 = p3
    | p2 = p1
    | a2a3 = b1b2 ),
    inference(spm,[status(thm)],[c_0_408,c_0_409]) ).

cnf(c_0_412,plain,
    ( a2a3 = b1b2
    | a1 = p2
    | b2b3 != b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_359]),c_0_151])]) ).

cnf(c_0_413,plain,
    ( X1 = a1a2
    | ~ incident(a2,X1)
    | ~ incident(a1,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_380]),c_0_217]) ).

cnf(c_0_414,plain,
    ( esk2_2(a2a3,X1) = a2
    | X1 = a2a3
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_153]) ).

cnf(c_0_415,plain,
    ( s3 = a3a1
    | ~ incident(a1,s3) ),
    inference(spm,[status(thm)],[c_0_239,c_0_129]) ).

cnf(c_0_416,plain,
    ( s = b2
    | s2 = b2b3
    | ~ incident(s,b2b3) ),
    inference(spm,[status(thm)],[c_0_110,c_0_96]) ).

cnf(c_0_417,plain,
    ( a2a3 = b1b2
    | p2 = p1
    | p2 = p3
    | s3 = b3b1
    | s = b3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_65])]) ).

cnf(c_0_418,plain,
    ( a2a3 = b1b2
    | b1 = p3
    | b2b3 != b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_359]),c_0_94])]),c_0_137]) ).

cnf(c_0_419,plain,
    ( a2a3 = b1b2
    | s1 = b3b1
    | b1 = p2
    | b2b3 != b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_412]),c_0_336])]) ).

cnf(c_0_420,plain,
    ( esk1_2(a2,X1) = a1a2
    | ~ point(X1)
    | ~ incident(a1,esk1_2(a2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_104]),c_0_298])]) ).

cnf(c_0_421,plain,
    ( a2 = p1
    | X1 = a2a3
    | ~ incident(a2,X1)
    | ~ incident(p1,X1) ),
    inference(spm,[status(thm)],[c_0_414,c_0_273]) ).

cnf(c_0_422,plain,
    ( p2 = p1
    | a2a3 = b1b2
    | s3 = a3a1
    | ~ incident(p2,s3) ),
    inference(spm,[status(thm)],[c_0_415,c_0_407]) ).

cnf(c_0_423,plain,
    ( s3 = b3b1
    | p2 = p3
    | p2 = p1
    | a2a3 = b1b2
    | s2 = b2b3 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_79])]),c_0_124]) ).

cnf(c_0_424,plain,
    ( s1 = b3b1
    | p2 = p3
    | a2a3 = b1b2
    | b2b3 != b1b2 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_425,plain,
    esk1_2(a2,a1) = a1a2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_107]),c_0_299]),c_0_298])]) ).

cnf(c_0_426,plain,
    ( s2 = a2a3
    | a2 = p1
    | ~ incident(p1,s2) ),
    inference(spm,[status(thm)],[c_0_421,c_0_140]) ).

cnf(c_0_427,plain,
    ( s2 = b2b3
    | p2 = p3
    | a2a3 = b1b2
    | p2 = p1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_336])]),c_0_242]) ).

cnf(c_0_428,plain,
    ( a2a3 = b1b2
    | p2 = p3
    | s3 = b3b1
    | s = b3
    | b2b3 != b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_424]),c_0_65])]) ).

cnf(c_0_429,plain,
    ( ~ point(X1)
    | ~ incident(p3,esk1_2(X1,p2))
    | ~ incident(p1,esk1_2(X1,p2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_107]),c_0_318])]) ).

cnf(c_0_430,plain,
    ( esk1_2(a2,p2) = a1a2
    | p2 = p1
    | a2a3 = b1b2 ),
    inference(spm,[status(thm)],[c_0_425,c_0_407]) ).

cnf(c_0_431,plain,
    ( p2 = p1
    | a2a3 = b1b2
    | p2 = p3
    | a2 = p1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_225])]),c_0_192]) ).

cnf(c_0_432,plain,
    ( a2a3 = b1b2
    | s3 = a3a1
    | b2b3 != b1b2
    | ~ incident(p2,s3) ),
    inference(spm,[status(thm)],[c_0_415,c_0_412]) ).

cnf(c_0_433,plain,
    ( s3 = b3b1
    | p2 = p3
    | a2a3 = b1b2
    | s2 = b2b3
    | b2b3 != b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_428]),c_0_79])]),c_0_124]) ).

cnf(c_0_434,plain,
    ~ incident(p3,esk1_2(p1,p2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_104]),c_0_281]),c_0_318])]) ).

cnf(c_0_435,plain,
    ( esk1_2(p1,p2) = a1a2
    | p2 = p3
    | a2a3 = b1b2
    | p2 = p1 ),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

cnf(c_0_436,plain,
    ( s2 = b2b3
    | p2 = p3
    | a2a3 = b1b2
    | b2b3 != b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_336])]),c_0_242]) ).

cnf(c_0_437,plain,
    ( ~ incident(p3,b3b1)
    | ~ incident(p1,b3b1) ),
    inference(spm,[status(thm)],[c_0_389,c_0_336]) ).

cnf(c_0_438,plain,
    ( p2 = p1
    | a2a3 = b1b2
    | p2 = p3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_94])]) ).

cnf(c_0_439,plain,
    ( a2a3 = b1b2
    | p2 = p3
    | a2 = p1
    | b2b3 != b1b2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_436]),c_0_225])]),c_0_192]) ).

cnf(c_0_440,plain,
    ( a2a3 = b1b2
    | b2b3 != b1b2
    | ~ incident(p1,a1a2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_359]),c_0_94])]) ).

cnf(c_0_441,plain,
    ( p2 = p3
    | a2a3 = b1b2
    | ~ incident(p3,X1)
    | ~ incident(p1,X1) ),
    inference(spm,[status(thm)],[c_0_389,c_0_438]) ).

cnf(c_0_442,plain,
    ( p2 = p3
    | a2a3 = b1b2
    | b2b3 != b1b2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_439]),c_0_440]) ).

cnf(c_0_443,plain,
    ( a2a3 = b1b2
    | p2 = p3
    | ~ point(X1)
    | ~ incident(p3,esk1_2(X1,p1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_107]),c_0_281])]) ).

cnf(c_0_444,plain,
    ( b2b3 = b1b2
    | X1 = b2
    | ~ incident(X1,b1b2)
    | ~ incident(X1,b2b3) ),
    inference(spm,[status(thm)],[c_0_103,c_0_62]) ).

cnf(c_0_445,plain,
    ( a2a3 = b1b2
    | b2b3 != b1b2
    | ~ incident(p3,esk1_2(p1,p3)) ),
    inference(spm,[status(thm)],[c_0_434,c_0_442]) ).

cnf(c_0_446,plain,
    ( p2 = p3
    | a2a3 = b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_104]),c_0_108]),c_0_281])]) ).

cnf(c_0_447,plain,
    ( esk2_2(b2b3,X1) = b2
    | b2b3 = b1b2
    | ~ line(X1)
    | ~ incident(esk2_2(b2b3,X1),b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_72]),c_0_88])]) ).

cnf(c_0_448,plain,
    ( a2a3 = b1b2
    | b2b3 != b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_107]),c_0_281]),c_0_108])]) ).

cnf(c_0_449,plain,
    ( a2a3 = a1a2
    | X1 = a2
    | ~ incident(X1,a1a2)
    | ~ incident(X1,a2a3) ),
    inference(spm,[status(thm)],[c_0_297,c_0_153]) ).

cnf(c_0_450,plain,
    ( X1 = p3
    | ~ incident(X1,a1a2)
    | ~ incident(X1,b1b2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_136]),c_0_137]) ).

cnf(c_0_451,plain,
    line(a1a2),
    inference(spm,[status(thm)],[c_0_70,c_0_83]) ).

cnf(c_0_452,plain,
    ( esk2_2(X1,a2a3) = p1
    | ~ line(X1)
    | ~ incident(esk2_2(X1,a2a3),b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_77]),c_0_237])]) ).

cnf(c_0_453,plain,
    ( a2a3 = b1b2
    | ~ incident(p3,esk1_2(p1,p3)) ),
    inference(spm,[status(thm)],[c_0_434,c_0_446]) ).

cnf(c_0_454,plain,
    ( esk2_2(b2b3,b1b2) = b2
    | b2b3 = b1b2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_77]),c_0_185]),c_0_88])]) ).

cnf(c_0_455,plain,
    b2b3 != b1b2,
    inference(spm,[status(thm)],[c_0_192,c_0_448]) ).

cnf(c_0_456,plain,
    ( esk2_2(X1,a2a3) = a2
    | a2a3 = a1a2
    | ~ line(X1)
    | ~ incident(esk2_2(X1,a2a3),a1a2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_77]),c_0_237])]) ).

cnf(c_0_457,plain,
    ( esk2_2(a1a2,X1) = p3
    | ~ line(X1)
    | ~ incident(esk2_2(a1a2,X1),b1b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_72]),c_0_451])]) ).

cnf(c_0_458,plain,
    esk2_2(b2b3,a2a3) = p1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_72]),c_0_88]),c_0_237])]) ).

cnf(c_0_459,plain,
    a2a3 = b1b2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_107]),c_0_281]),c_0_108])]) ).

cnf(c_0_460,plain,
    esk2_2(b2b3,b1b2) = b2,
    inference(sr,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_461,plain,
    ( esk2_2(a1a2,a2a3) = a2
    | a2a3 = a1a2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_72]),c_0_451]),c_0_237])]) ).

cnf(c_0_462,plain,
    esk2_2(a1a2,b1b2) = p3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_77]),c_0_185]),c_0_451])]) ).

cnf(c_0_463,plain,
    ( X1 = esk2_2(X2,X3)
    | X4 = X3
    | ~ line(X2)
    | ~ incident(esk2_2(X2,X3),X4)
    | ~ incident(X1,X3)
    | ~ incident(X1,X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_77]),c_0_70]) ).

cnf(c_0_464,plain,
    ( b2 = a2
    | s2 = a2a3
    | ~ incident(b2,a2a3) ),
    inference(spm,[status(thm)],[c_0_162,c_0_85]) ).

cnf(c_0_465,plain,
    b2 = p1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_459]),c_0_460]) ).

cnf(c_0_466,plain,
    a2 = p3,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_459]),c_0_462]),c_0_459]),c_0_137]) ).

cnf(c_0_467,plain,
    ( esk1_2(X1,b3) = b2b3
    | X2 = b3
    | ~ point(X1)
    | ~ incident(X2,esk1_2(X1,b3))
    | ~ incident(X2,b2b3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_107]),c_0_280])]) ).

cnf(c_0_468,plain,
    ( esk1_2(esk2_2(X1,X2),X3) = X2
    | X4 = esk2_2(X1,X2)
    | ~ line(X1)
    | ~ point(esk2_2(X1,X2))
    | ~ point(X3)
    | ~ incident(X4,esk1_2(esk2_2(X1,X2),X3))
    | ~ incident(X4,X2) ),
    inference(spm,[status(thm)],[c_0_463,c_0_104]) ).

cnf(c_0_469,plain,
    ( s = a3
    | s3 = s2
    | ~ incident(a3,s2) ),
    inference(spm,[status(thm)],[c_0_186,c_0_129]) ).

cnf(c_0_470,plain,
    ( s2 = b1b2
    | p1 = p3 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_464,c_0_459]),c_0_459]),c_0_91])]),c_0_465]),c_0_466]) ).

cnf(c_0_471,plain,
    incident(a3,b1b2),
    inference(rw,[status(thm)],[c_0_67,c_0_459]) ).

cnf(c_0_472,plain,
    ( esk1_2(X1,b3) = b2b3
    | X1 = b3
    | ~ incident(X1,b2b3) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_104]),c_0_280])]),c_0_93]) ).

cnf(c_0_473,plain,
    ( esk1_2(esk2_2(X1,X2),X3) = X2
    | X3 = esk2_2(X1,X2)
    | ~ line(X1)
    | ~ point(esk2_2(X1,X2))
    | ~ incident(X3,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_107]),c_0_93]) ).

cnf(c_0_474,plain,
    ( esk2_2(b3b1,X1) = p2
    | X1 = b3b1
    | ~ incident(p2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_336]) ).

cnf(c_0_475,plain,
    ( s = a1
    | s1 = a3a1
    | ~ incident(s,a3a1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_128]) ).

cnf(c_0_476,plain,
    ( p1 = p3
    | s3 = b1b2
    | s = a3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_471])]) ).

cnf(c_0_477,plain,
    ( esk2_2(X1,X2) = b3
    | X2 = b2b3
    | ~ line(X1)
    | ~ incident(esk2_2(X1,X2),b2b3)
    | ~ incident(b3,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_93]) ).

cnf(c_0_478,plain,
    ( b1 = p2
    | X1 = b3b1
    | ~ incident(b1,X1)
    | ~ incident(p2,X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_474]) ).

cnf(c_0_479,plain,
    ( s3 = b1b2
    | p1 = p3
    | s1 = a3a1 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_71])]),c_0_197]) ).

cnf(c_0_480,plain,
    ~ incident(b3,b1b2),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_460]),c_0_88]),c_0_62])]),c_0_124]),c_0_455]) ).

cnf(c_0_481,plain,
    ( s1 = b3b1
    | b1 = p2
    | ~ incident(p2,s1) ),
    inference(spm,[status(thm)],[c_0_478,c_0_142]) ).

cnf(c_0_482,plain,
    ( s1 = a3a1
    | p1 = p3 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_479]),c_0_480]) ).

cnf(c_0_483,plain,
    ( p1 = p3
    | b1 = p2 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_306])]),c_0_242]) ).

cnf(c_0_484,plain,
    ( ~ point(X1)
    | ~ incident(p3,esk1_2(p2,X1))
    | ~ incident(p1,esk1_2(p2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_104]),c_0_318])]) ).

cnf(c_0_485,plain,
    ( p1 = p3
    | incident(p2,b1b2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_483]) ).

cnf(c_0_486,plain,
    incident(p1,b1b2),
    inference(rw,[status(thm)],[c_0_214,c_0_459]) ).

cnf(c_0_487,plain,
    ~ incident(p3,esk1_2(p2,p1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_107]),c_0_281]),c_0_318])]) ).

cnf(c_0_488,plain,
    p1 = p3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_485]),c_0_136]),c_0_486])]) ).

cnf(c_0_489,plain,
    ~ incident(p3,esk1_2(p2,p3)),
    inference(rw,[status(thm)],[c_0_487,c_0_488]) ).

cnf(c_0_490,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_107]),c_0_318]),c_0_108])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jun 17 16:14:16 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.27/9.45  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.27/9.45  # Preprocessing time       : 0.015 s
% 0.27/9.45  
% 0.27/9.45  # Proof found!
% 0.27/9.45  # SZS status Theorem
% 0.27/9.45  # SZS output start CNFRefutation
% See solution above
% 0.27/9.46  # Proof object total steps             : 491
% 0.27/9.46  # Proof object clause steps            : 424
% 0.27/9.46  # Proof object formula steps           : 67
% 0.27/9.46  # Proof object conjectures             : 4
% 0.27/9.46  # Proof object clause conjectures      : 1
% 0.27/9.46  # Proof object formula conjectures     : 3
% 0.27/9.46  # Proof object initial clauses used    : 50
% 0.27/9.46  # Proof object initial formulas used   : 48
% 0.27/9.46  # Proof object generating inferences   : 355
% 0.27/9.46  # Proof object simplifying inferences  : 475
% 0.27/9.46  # Training examples: 0 positive, 0 negative
% 0.27/9.46  # Parsed axioms                        : 53
% 0.27/9.46  # Removed by relevancy pruning/SinE    : 0
% 0.27/9.46  # Initial clauses                      : 55
% 0.27/9.46  # Removed in clause preprocessing      : 5
% 0.27/9.46  # Initial clauses in saturation        : 50
% 0.27/9.46  # Processed clauses                    : 51823
% 0.27/9.46  # ...of these trivial                  : 91
% 0.27/9.46  # ...subsumed                          : 45175
% 0.27/9.46  # ...remaining for further processing  : 6557
% 0.27/9.46  # Other redundant clauses eliminated   : 0
% 0.27/9.46  # Clauses deleted for lack of memory   : 0
% 0.27/9.46  # Backward-subsumed                    : 3216
% 0.27/9.46  # Backward-rewritten                   : 2294
% 0.27/9.46  # Generated clauses                    : 461299
% 0.27/9.46  # ...of the previous two non-trivial   : 446603
% 0.27/9.46  # Contextual simplify-reflections      : 66061
% 0.27/9.46  # Paramodulations                      : 460931
% 0.27/9.46  # Factorizations                       : 127
% 0.27/9.46  # Equation resolutions                 : 0
% 0.27/9.46  # Current number of processed clauses  : 908
% 0.27/9.46  #    Positive orientable unit clauses  : 79
% 0.27/9.46  #    Positive unorientable unit clauses: 0
% 0.27/9.46  #    Negative unit clauses             : 93
% 0.27/9.46  #    Non-unit-clauses                  : 736
% 0.27/9.46  # Current number of unprocessed clauses: 14816
% 0.27/9.46  # ...number of literals in the above   : 90955
% 0.27/9.46  # Current number of archived formulas  : 0
% 0.27/9.46  # Current number of archived clauses   : 5518
% 0.27/9.46  # Clause-clause subsumption calls (NU) : 6219245
% 0.27/9.46  # Rec. Clause-clause subsumption calls : 1135338
% 0.27/9.46  # Non-unit clause-clause subsumptions  : 112989
% 0.27/9.46  # Unit Clause-clause subsumption calls : 133031
% 0.27/9.46  # Rewrite failures with RHS unbound    : 0
% 0.27/9.46  # BW rewrite match attempts            : 42
% 0.27/9.46  # BW rewrite match successes           : 42
% 0.27/9.46  # Condensation attempts                : 0
% 0.27/9.46  # Condensation successes               : 0
% 0.27/9.46  # Termbank termtop insertions          : 6389807
% 0.27/9.46  
% 0.27/9.46  # -------------------------------------------------
% 0.27/9.46  # User time                : 8.587 s
% 0.27/9.46  # System time              : 0.080 s
% 0.27/9.46  # Total time               : 8.667 s
% 0.27/9.46  # Maximum resident set size: 91900 pages
% 0.30/23.42  eprover: CPU time limit exceeded, terminating
% 0.30/23.42  eprover: CPU time limit exceeded, terminating
% 0.30/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.43  eprover: No such file or directory
% 0.30/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.44  eprover: No such file or directory
% 0.30/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.44  eprover: No such file or directory
% 0.30/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.44  eprover: No such file or directory
% 0.30/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.45  eprover: No such file or directory
% 0.30/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.45  eprover: No such file or directory
% 0.30/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.45  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.46  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.47  eprover: CPU time limit exceeded, terminating
% 0.30/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.47  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.48  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53  eprover: No such file or directory
%------------------------------------------------------------------------------