TSTP Solution File: GEO169+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:31:39 EDT 2023

% Result   : Theorem 12.66s 2.65s
% Output   : CNFRefutation 12.66s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(t2in1,axiom,
    ( ( incident(a2,b1c1)
      & incident(b2,a1c1)
      & incident(c2,a1b1) )
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',t2in1) ).

fof(goal_to_be_proved,conjecture,
    goal,
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',goal_to_be_proved) ).

fof(gap_c,axiom,
    ( incident(c1,a2b2)
    | incident(a2,b1c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',gap_c) ).

fof(gap_a,axiom,
    ( incident(a1,b2c2)
    | incident(b2,a1c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',gap_a) ).

fof(unique,axiom,
    ! [X1,X2,X3,X4] :
      ( ( incident(X1,X3)
        & incident(X1,X4)
        & incident(X2,X3)
        & incident(X2,X4) )
     => ( point_equal(X1,X2)
        | line_equal(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',unique) ).

fof(gap_b,axiom,
    ( incident(b1,a2c2)
    | incident(c2,a1b1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',gap_b) ).

fof(ic1a1,axiom,
    incident(c1,a1c1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ic1a1) ).

fof(pcon,axiom,
    ! [X1,X2,X3] :
      ( ( point_equal(X1,X2)
        & incident(X2,X3) )
     => incident(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',pcon) ).

fof(ib2a2,axiom,
    incident(b2,a2b2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ib2a2) ).

fof(symmetry_of_line_equal,axiom,
    ! [X1,X2] :
      ( line_equal(X1,X2)
     => line_equal(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',symmetry_of_line_equal) ).

fof(ic1oc,axiom,
    incident(c1,oc),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ic1oc) ).

fof(lcon,axiom,
    ! [X1,X2,X3] :
      ( ( incident(X1,X2)
        & line_equal(X2,X3) )
     => incident(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',lcon) ).

fof(ic2oc,axiom,
    incident(c2,oc),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ic2oc) ).

fof(ic1b1,axiom,
    incident(c1,b1c1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ic1b1) ).

fof(ic2b2,axiom,
    incident(c2,b2c2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ic2b2) ).

fof(ia2b2,axiom,
    incident(a2,a2b2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ia2b2) ).

fof(triangle2,axiom,
    ! [X1] :
      ( ( incident(a2,X1)
        & incident(b2,X1)
        & incident(c2,X1) )
     => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',triangle2) ).

fof(ib1ob,axiom,
    incident(b1,ob),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ib1ob) ).

fof(notbb,axiom,
    ( point_equal(b2,b1)
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',notbb) ).

fof(ib2c2,axiom,
    incident(b2,b2c2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ib2c2) ).

fof(ib1c1,axiom,
    incident(b1,b1c1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ib1c1) ).

fof(ia2c2,axiom,
    incident(a2,a2c2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ia2c2) ).

fof(ic2a2,axiom,
    incident(c2,a2c2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ic2a2) ).

fof(ib2ob,axiom,
    incident(b2,ob),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ib2ob) ).

fof(notbc,axiom,
    ( line_equal(b1c1,b2c2)
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',notbc) ).

fof(iooc,axiom,
    incident(o,oc),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',iooc) ).

fof(ioob,axiom,
    incident(o,ob),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ioob) ).

fof(ia1oa,axiom,
    incident(a1,oa),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ia1oa) ).

fof(notaa,axiom,
    ( point_equal(a2,a1)
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',notaa) ).

fof(ia1c1,axiom,
    incident(a1,a1c1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ia1c1) ).

fof(iooa,axiom,
    incident(o,oa),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',iooa) ).

fof(ia2oa,axiom,
    incident(a2,oa),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ia2oa) ).

fof(symmetry_of_point_equal,axiom,
    ! [X1,X2] :
      ( point_equal(X1,X2)
     => point_equal(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',symmetry_of_point_equal) ).

fof(triangle1,axiom,
    ! [X1] :
      ( ( incident(a1,X1)
        & incident(b1,X1)
        & incident(c1,X1) )
     => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',triangle1) ).

fof(ibc2,axiom,
    incident(bc,b2c2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ibc2) ).

fof(ibc1,axiom,
    incident(bc,b1c1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ibc1) ).

fof(goal_normal,axiom,
    ! [X1] :
      ( ( line_equal(X1,X1)
        & incident(bc,X1)
        & incident(ac,X1)
        & incident(ab,X1) )
     => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',goal_normal) ).

fof(reflexivity_of_line_equal,axiom,
    ! [X1,X2] :
      ( incident(X1,X2)
     => line_equal(X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',reflexivity_of_line_equal) ).

fof(iab2,axiom,
    incident(ab,a2b2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',iab2) ).

fof(iac1,axiom,
    incident(ac,a1c1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',iac1) ).

fof(notcc,axiom,
    ( point_equal(c2,c1)
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',notcc) ).

fof(transitivity_of_line_equal,axiom,
    ! [X1,X2,X3] :
      ( ( line_equal(X1,X2)
        & line_equal(X2,X3) )
     => line_equal(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',transitivity_of_line_equal) ).

fof(iac2,axiom,
    incident(ac,a2c2),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',iac2) ).

fof(notac,axiom,
    ( line_equal(a1c1,a2c2)
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',notac) ).

fof(ia1b1,axiom,
    incident(a1,a1b1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ia1b1) ).

fof(ib1a1,axiom,
    incident(b1,a1b1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',ib1a1) ).

fof(notab,axiom,
    ( line_equal(a1b1,a2b2)
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',notab) ).

fof(iab1,axiom,
    incident(ab,a1b1),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',iab1) ).

fof(t1in2,axiom,
    ( ( incident(a1,b2c2)
      & incident(b1,a2c2)
      & incident(c1,a2b2) )
   => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p',t1in2) ).

fof(c_0_49,plain,
    ( ~ incident(a2,b1c1)
    | ~ incident(b2,a1c1)
    | ~ incident(c2,a1b1)
    | goal ),
    inference(fof_nnf,[status(thm)],[t2in1]) ).

fof(c_0_50,negated_conjecture,
    ~ goal,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).

cnf(c_0_51,plain,
    ( goal
    | ~ incident(a2,b1c1)
    | ~ incident(b2,a1c1)
    | ~ incident(c2,a1b1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ~ goal,
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_53,plain,
    ( ~ incident(a2,b1c1)
    | ~ incident(b2,a1c1)
    | ~ incident(c2,a1b1) ),
    inference(sr,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_54,plain,
    ( incident(c1,a2b2)
    | incident(a2,b1c1) ),
    inference(split_conjunct,[status(thm)],[gap_c]) ).

cnf(c_0_55,plain,
    ( incident(c1,a2b2)
    | ~ incident(b2,a1c1)
    | ~ incident(c2,a1b1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_56,plain,
    ( incident(a1,b2c2)
    | incident(b2,a1c1) ),
    inference(split_conjunct,[status(thm)],[gap_a]) ).

fof(c_0_57,plain,
    ! [X28,X29,X30,X31] :
      ( ~ incident(X28,X30)
      | ~ incident(X28,X31)
      | ~ incident(X29,X30)
      | ~ incident(X29,X31)
      | point_equal(X28,X29)
      | line_equal(X30,X31) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).

cnf(c_0_58,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | ~ incident(c2,a1b1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,plain,
    ( incident(b1,a2c2)
    | incident(c2,a1b1) ),
    inference(split_conjunct,[status(thm)],[gap_b]) ).

cnf(c_0_60,plain,
    ( point_equal(X1,X4)
    | line_equal(X2,X3)
    | ~ incident(X1,X2)
    | ~ incident(X1,X3)
    | ~ incident(X4,X2)
    | ~ incident(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_61,plain,
    ( incident(b1,a2c2)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( point_equal(X1,c1)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(X2,a2b2)
    | ~ incident(c1,X2)
    | ~ incident(X1,a2b2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_63,plain,
    incident(c1,a1c1),
    inference(split_conjunct,[status(thm)],[ic1a1]) ).

fof(c_0_64,plain,
    ! [X22,X23,X24] :
      ( ~ point_equal(X22,X23)
      | ~ incident(X23,X24)
      | incident(X22,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pcon])]) ).

cnf(c_0_65,plain,
    ( point_equal(X1,c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2)
    | ~ incident(X1,a2b2)
    | ~ incident(X1,a1c1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    incident(b2,a2b2),
    inference(split_conjunct,[status(thm)],[ib2a2]) ).

cnf(c_0_67,plain,
    ( incident(X1,X3)
    | ~ point_equal(X1,X2)
    | ~ incident(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_68,plain,
    ( point_equal(b2,c1)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(a1c1,a2b2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_56]) ).

fof(c_0_69,plain,
    ! [X17,X18] :
      ( ~ line_equal(X17,X18)
      | line_equal(X18,X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_line_equal])]) ).

cnf(c_0_70,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,X1)
    | line_equal(a1c1,a2b2)
    | ~ incident(c1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,plain,
    incident(c1,oc),
    inference(split_conjunct,[status(thm)],[ic1oc]) ).

fof(c_0_72,plain,
    ! [X25,X26,X27] :
      ( ~ incident(X25,X26)
      | ~ line_equal(X26,X27)
      | incident(X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lcon])]) ).

cnf(c_0_73,plain,
    ( line_equal(X2,X1)
    | ~ line_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_74,plain,
    ( incident(b2,oc)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(a1c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_75,plain,
    incident(c2,oc),
    inference(split_conjunct,[status(thm)],[ic2oc]) ).

cnf(c_0_76,plain,
    ( incident(X1,X3)
    | ~ incident(X1,X2)
    | ~ line_equal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_77,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,oc)
    | line_equal(a2b2,a1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,plain,
    incident(c1,b1c1),
    inference(split_conjunct,[status(thm)],[ic1b1]) ).

cnf(c_0_79,plain,
    ( point_equal(X1,c2)
    | line_equal(X2,oc)
    | ~ incident(c2,X2)
    | ~ incident(X1,oc)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_75]) ).

cnf(c_0_80,plain,
    incident(c2,b2c2),
    inference(split_conjunct,[status(thm)],[ic2b2]) ).

cnf(c_0_81,plain,
    ( incident(b2,oc)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,plain,
    incident(a2,a2b2),
    inference(split_conjunct,[status(thm)],[ia2b2]) ).

fof(c_0_83,plain,
    ! [X7] :
      ( ~ incident(a2,X7)
      | ~ incident(b2,X7)
      | ~ incident(c2,X7)
      | goal ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle2])]) ).

cnf(c_0_84,plain,
    incident(b1,ob),
    inference(split_conjunct,[status(thm)],[ib1ob]) ).

fof(c_0_85,plain,
    ( ~ point_equal(b2,b1)
    | goal ),
    inference(fof_nnf,[status(thm)],[notbb]) ).

cnf(c_0_86,plain,
    ( incident(b2,b1c1)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(a1c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_78]) ).

cnf(c_0_87,plain,
    ( point_equal(X1,c2)
    | line_equal(b2c2,oc)
    | ~ incident(X1,oc)
    | ~ incident(X1,b2c2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_88,plain,
    ( incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,oc) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,plain,
    incident(b2,b2c2),
    inference(split_conjunct,[status(thm)],[ib2c2]) ).

cnf(c_0_90,plain,
    ( goal
    | ~ incident(a2,X1)
    | ~ incident(b2,X1)
    | ~ incident(c2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_91,plain,
    ( point_equal(X1,b1)
    | line_equal(X2,ob)
    | ~ incident(b1,X2)
    | ~ incident(X1,ob)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_84]) ).

cnf(c_0_92,plain,
    incident(b1,b1c1),
    inference(split_conjunct,[status(thm)],[ib1c1]) ).

cnf(c_0_93,plain,
    ( goal
    | ~ point_equal(b2,b1) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_94,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,b1c1)
    | line_equal(a2b2,a1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_86]) ).

cnf(c_0_95,plain,
    ( point_equal(b2,c2)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | line_equal(b2c2,oc) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).

cnf(c_0_96,plain,
    ( ~ incident(a2,X1)
    | ~ incident(b2,X1)
    | ~ incident(c2,X1) ),
    inference(sr,[status(thm)],[c_0_90,c_0_52]) ).

cnf(c_0_97,plain,
    incident(a2,a2c2),
    inference(split_conjunct,[status(thm)],[ia2c2]) ).

cnf(c_0_98,plain,
    incident(c2,a2c2),
    inference(split_conjunct,[status(thm)],[ic2a2]) ).

cnf(c_0_99,plain,
    ( point_equal(X1,b1)
    | line_equal(b1c1,ob)
    | ~ incident(X1,ob)
    | ~ incident(X1,b1c1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_100,plain,
    incident(b2,ob),
    inference(split_conjunct,[status(thm)],[ib2ob]) ).

cnf(c_0_101,plain,
    ~ point_equal(b2,b1),
    inference(sr,[status(thm)],[c_0_93,c_0_52]) ).

cnf(c_0_102,plain,
    ( incident(b2,b1c1)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_94]) ).

cnf(c_0_103,plain,
    ( incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,X1)
    | line_equal(b2c2,oc)
    | ~ incident(c2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_95]) ).

cnf(c_0_104,plain,
    ~ incident(b2,a2c2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).

cnf(c_0_105,plain,
    ( line_equal(b1c1,ob)
    | ~ incident(b2,b1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).

cnf(c_0_106,plain,
    ( incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,b1c1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_82]) ).

fof(c_0_107,plain,
    ( ~ line_equal(b1c1,b2c2)
    | goal ),
    inference(fof_nnf,[status(thm)],[notbc]) ).

cnf(c_0_108,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | line_equal(b2c2,oc) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_98]),c_0_104]) ).

cnf(c_0_109,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | line_equal(b1c1,ob) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    ( goal
    | ~ line_equal(b1c1,b2c2) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_111,plain,
    ( incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(oc,b2c2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_108]) ).

cnf(c_0_112,plain,
    ( incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(ob,b1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_109]) ).

cnf(c_0_113,plain,
    ( point_equal(X1,b2)
    | line_equal(X2,b2c2)
    | ~ incident(b2,X2)
    | ~ incident(X1,b2c2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_89]) ).

cnf(c_0_114,plain,
    ~ line_equal(b1c1,b2c2),
    inference(sr,[status(thm)],[c_0_110,c_0_52]) ).

cnf(c_0_115,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | incident(X1,b2c2)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_111]) ).

cnf(c_0_116,plain,
    incident(o,oc),
    inference(split_conjunct,[status(thm)],[iooc]) ).

cnf(c_0_117,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | incident(X1,b1c1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_112]) ).

cnf(c_0_118,plain,
    incident(o,ob),
    inference(split_conjunct,[status(thm)],[ioob]) ).

cnf(c_0_119,plain,
    incident(a1,oa),
    inference(split_conjunct,[status(thm)],[ia1oa]) ).

cnf(c_0_120,plain,
    ( point_equal(X1,b2)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | ~ incident(X1,b2c2)
    | ~ incident(X1,b1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_106]),c_0_114]) ).

cnf(c_0_121,plain,
    ( incident(o,b2c2)
    | incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_122,plain,
    ( incident(o,b1c1)
    | incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

fof(c_0_123,plain,
    ( ~ point_equal(a2,a1)
    | goal ),
    inference(fof_nnf,[status(thm)],[notaa]) ).

cnf(c_0_124,plain,
    ( point_equal(X1,a1)
    | line_equal(X2,oa)
    | ~ incident(a1,X2)
    | ~ incident(X1,oa)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_119]) ).

cnf(c_0_125,plain,
    incident(a1,a1c1),
    inference(split_conjunct,[status(thm)],[ia1c1]) ).

cnf(c_0_126,plain,
    ( point_equal(o,b2)
    | incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).

cnf(c_0_127,plain,
    ( goal
    | ~ point_equal(a2,a1) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_128,plain,
    ( point_equal(X1,a1)
    | line_equal(a1c1,oa)
    | ~ incident(X1,oa)
    | ~ incident(X1,a1c1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,plain,
    incident(o,oa),
    inference(split_conjunct,[status(thm)],[iooa]) ).

cnf(c_0_130,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a2,a1c1)
    | incident(o,X1)
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_126]) ).

cnf(c_0_131,plain,
    incident(a2,oa),
    inference(split_conjunct,[status(thm)],[ia2oa]) ).

cnf(c_0_132,plain,
    ~ point_equal(a2,a1),
    inference(sr,[status(thm)],[c_0_127,c_0_52]) ).

fof(c_0_133,plain,
    ! [X10,X11] :
      ( ~ point_equal(X10,X11)
      | point_equal(X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_point_equal])]) ).

cnf(c_0_134,plain,
    ( point_equal(o,a1)
    | line_equal(a1c1,oa)
    | ~ incident(o,a1c1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_135,plain,
    ( incident(o,a1c1)
    | incident(a2,a1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_56]) ).

cnf(c_0_136,plain,
    ( line_equal(a1c1,oa)
    | ~ incident(a2,a1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_131]),c_0_132]) ).

cnf(c_0_137,plain,
    ( point_equal(X2,X1)
    | ~ point_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_138,plain,
    ( point_equal(o,a1)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(a1c1,oa) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_139,plain,
    ( point_equal(a1,o)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(a1c1,oa) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_140,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(a1,X1)
    | line_equal(a1c1,oa)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_139]) ).

cnf(c_0_141,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(a1c1,oa) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_121]),c_0_136]) ).

cnf(c_0_142,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(oa,a1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_141]) ).

cnf(c_0_143,plain,
    ( point_equal(X1,b2)
    | incident(a1,b2c2)
    | line_equal(X2,a1c1)
    | ~ incident(b2,X2)
    | ~ incident(X1,a1c1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_56]) ).

cnf(c_0_144,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_76,c_0_142]) ).

cnf(c_0_145,plain,
    ( point_equal(X1,b2)
    | incident(a1,b2c2)
    | line_equal(ob,a1c1)
    | ~ incident(X1,a1c1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_143,c_0_100]) ).

cnf(c_0_146,plain,
    ( incident(o,a1c1)
    | incident(a1,b2c2)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_144,c_0_129]) ).

cnf(c_0_147,plain,
    ( point_equal(X1,c1)
    | line_equal(X2,a1c1)
    | ~ incident(c1,X2)
    | ~ incident(X1,a1c1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_63]) ).

cnf(c_0_148,plain,
    ( point_equal(o,b2)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(ob,a1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_118])]) ).

fof(c_0_149,plain,
    ! [X6] :
      ( ~ incident(a1,X6)
      | ~ incident(b1,X6)
      | ~ incident(c1,X6)
      | goal ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle1])]) ).

cnf(c_0_150,plain,
    ( point_equal(X1,c1)
    | line_equal(oc,a1c1)
    | ~ incident(X1,a1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_147,c_0_71]) ).

cnf(c_0_151,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(o,X1)
    | line_equal(ob,a1c1)
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_148]) ).

cnf(c_0_152,plain,
    ( goal
    | ~ incident(a1,X1)
    | ~ incident(b1,X1)
    | ~ incident(c1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_153,plain,
    ( point_equal(o,c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(oc,a1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_146]),c_0_116])]) ).

cnf(c_0_154,plain,
    incident(bc,b2c2),
    inference(split_conjunct,[status(thm)],[ibc2]) ).

cnf(c_0_155,plain,
    ( incident(o,b2c2)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(ob,a1c1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_89]) ).

cnf(c_0_156,plain,
    ( ~ incident(a1,X1)
    | ~ incident(b1,X1)
    | ~ incident(c1,X1) ),
    inference(sr,[status(thm)],[c_0_152,c_0_52]) ).

cnf(c_0_157,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(o,X1)
    | line_equal(oc,a1c1)
    | ~ incident(c1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_153]) ).

cnf(c_0_158,plain,
    ( point_equal(X1,bc)
    | line_equal(X2,b2c2)
    | ~ incident(bc,X2)
    | ~ incident(X1,b2c2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_154]) ).

cnf(c_0_159,plain,
    incident(bc,b1c1),
    inference(split_conjunct,[status(thm)],[ibc1]) ).

cnf(c_0_160,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(o,b2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_155]) ).

cnf(c_0_161,plain,
    ~ incident(b1,a1c1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_125]),c_0_63])]) ).

cnf(c_0_162,plain,
    ( incident(o,b1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2)
    | line_equal(oc,a1c1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_78]) ).

cnf(c_0_163,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_144,c_0_131]) ).

cnf(c_0_164,plain,
    ( point_equal(X1,a2)
    | line_equal(X2,oa)
    | ~ incident(a2,X2)
    | ~ incident(X1,oa)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_131]) ).

cnf(c_0_165,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(X1,oa)
    | ~ incident(X1,a1c1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_141]) ).

cnf(c_0_166,plain,
    ( point_equal(X1,bc)
    | ~ incident(X1,b2c2)
    | ~ incident(X1,b1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_114]) ).

cnf(c_0_167,plain,
    ( incident(o,b2c2)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_84]),c_0_161]) ).

cnf(c_0_168,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | incident(o,b1c1)
    | incident(X1,a1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_162]) ).

cnf(c_0_169,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | ~ incident(c2,a1c1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_163]),c_0_56]) ).

cnf(c_0_170,plain,
    ( point_equal(X1,a2)
    | line_equal(a2b2,oa)
    | ~ incident(X1,oa)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_82]) ).

cnf(c_0_171,plain,
    ( incident(b2,oa)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_165,c_0_56]) ).

cnf(c_0_172,plain,
    ( point_equal(o,bc)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | ~ incident(o,b1c1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_173,plain,
    ( incident(o,b1c1)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_75]),c_0_169]) ).

cnf(c_0_174,plain,
    ( point_equal(b2,a2)
    | incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(a2b2,oa) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_66])]) ).

cnf(c_0_175,plain,
    ( point_equal(o,bc)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_176,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(b2,X1)
    | line_equal(a2b2,oa)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_174]) ).

fof(c_0_177,plain,
    ! [X5] :
      ( ~ line_equal(X5,X5)
      | ~ incident(bc,X5)
      | ~ incident(ac,X5)
      | ~ incident(ab,X5)
      | goal ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])]) ).

fof(c_0_178,plain,
    ! [X15,X16] :
      ( ~ incident(X15,X16)
      | line_equal(X16,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_line_equal])]) ).

cnf(c_0_179,plain,
    ( point_equal(bc,o)
    | incident(a1,b2c2)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_175]) ).

cnf(c_0_180,plain,
    ( incident(a1,b2c2)
    | incident(b1,a2c2)
    | line_equal(a2b2,oa) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_97]),c_0_104]) ).

cnf(c_0_181,plain,
    ( goal
    | ~ line_equal(X1,X1)
    | ~ incident(bc,X1)
    | ~ incident(ac,X1)
    | ~ incident(ab,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_182,plain,
    ( line_equal(X2,X2)
    | ~ incident(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_183,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(bc,X1)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_179]) ).

cnf(c_0_184,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2)
    | incident(X1,oa)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_180]) ).

cnf(c_0_185,plain,
    incident(ab,a2b2),
    inference(split_conjunct,[status(thm)],[iab2]) ).

cnf(c_0_186,plain,
    incident(ac,a1c1),
    inference(split_conjunct,[status(thm)],[iac1]) ).

cnf(c_0_187,plain,
    ( point_equal(X1,a2)
    | line_equal(X2,a2c2)
    | ~ incident(a2,X2)
    | ~ incident(X1,a2c2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_97]) ).

cnf(c_0_188,plain,
    ( ~ incident(bc,X1)
    | ~ incident(ac,X1)
    | ~ incident(ab,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_181,c_0_52]),c_0_182]) ).

cnf(c_0_189,plain,
    ( incident(bc,oa)
    | incident(a1,b2c2)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_183,c_0_129]) ).

cnf(c_0_190,plain,
    ( incident(ab,oa)
    | incident(a1,b2c2)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_191,plain,
    ( incident(ac,oa)
    | incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_165,c_0_186]) ).

cnf(c_0_192,plain,
    ( point_equal(X1,a2)
    | incident(c1,a2b2)
    | line_equal(b1c1,a2c2)
    | ~ incident(X1,a2c2)
    | ~ incident(X1,b1c1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_54]) ).

cnf(c_0_193,plain,
    ( incident(b1,a2c2)
    | incident(a1,b2c2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]),c_0_191]) ).

cnf(c_0_194,plain,
    ( point_equal(b1,a2)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | line_equal(b1c1,a2c2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_92])]) ).

cnf(c_0_195,plain,
    ( point_equal(a2,b1)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(b1c1,a2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_194]) ).

cnf(c_0_196,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,X1)
    | line_equal(b1c1,a2c2)
    | ~ incident(b1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_195]) ).

fof(c_0_197,plain,
    ( ~ point_equal(c2,c1)
    | goal ),
    inference(fof_nnf,[status(thm)],[notcc]) ).

cnf(c_0_198,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(b1c1,a2c2) ),
    inference(spm,[status(thm)],[c_0_196,c_0_84]) ).

cnf(c_0_199,plain,
    ( point_equal(X1,c1)
    | line_equal(X2,oc)
    | ~ incident(c1,X2)
    | ~ incident(X1,oc)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_71]) ).

cnf(c_0_200,plain,
    ( goal
    | ~ point_equal(c2,c1) ),
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_201,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(a2c2,b1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_198]) ).

cnf(c_0_202,plain,
    ( point_equal(X1,c1)
    | line_equal(b1c1,oc)
    | ~ incident(X1,oc)
    | ~ incident(X1,b1c1) ),
    inference(spm,[status(thm)],[c_0_199,c_0_78]) ).

cnf(c_0_203,plain,
    ~ point_equal(c2,c1),
    inference(sr,[status(thm)],[c_0_200,c_0_52]) ).

cnf(c_0_204,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(X1,b1c1)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_201]) ).

cnf(c_0_205,plain,
    ( line_equal(b1c1,oc)
    | ~ incident(c2,b1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_75]),c_0_203]) ).

cnf(c_0_206,plain,
    ( incident(c2,b1c1)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob) ),
    inference(spm,[status(thm)],[c_0_204,c_0_98]) ).

cnf(c_0_207,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(b1c1,oc) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_208,plain,
    ( point_equal(X1,o)
    | line_equal(X2,oc)
    | ~ incident(o,X2)
    | ~ incident(X1,oc)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_116]) ).

cnf(c_0_209,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | incident(X1,oc)
    | ~ incident(X1,b1c1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_207]) ).

cnf(c_0_210,plain,
    ( point_equal(X1,o)
    | line_equal(oa,oc)
    | ~ incident(X1,oc)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_208,c_0_129]) ).

cnf(c_0_211,plain,
    ( incident(a2,oc)
    | incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_209,c_0_54]) ).

cnf(c_0_212,plain,
    ( point_equal(a2,o)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(oa,oc) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_131])]) ).

cnf(c_0_213,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(a2,X1)
    | line_equal(oa,oc)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_212]) ).

fof(c_0_214,plain,
    ! [X19,X20,X21] :
      ( ~ line_equal(X19,X20)
      | ~ line_equal(X20,X21)
      | line_equal(X19,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_line_equal])]) ).

cnf(c_0_215,plain,
    ( point_equal(X1,c1)
    | line_equal(X2,b1c1)
    | ~ incident(c1,X2)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_78]) ).

cnf(c_0_216,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(oa,oc) ),
    inference(spm,[status(thm)],[c_0_213,c_0_118]) ).

cnf(c_0_217,plain,
    incident(ac,a2c2),
    inference(split_conjunct,[status(thm)],[iac2]) ).

cnf(c_0_218,plain,
    ( line_equal(X1,X3)
    | ~ line_equal(X1,X2)
    | ~ line_equal(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_214]) ).

cnf(c_0_219,plain,
    ( point_equal(X1,c1)
    | line_equal(oc,b1c1)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_215,c_0_71]) ).

cnf(c_0_220,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(oc,oa) ),
    inference(spm,[status(thm)],[c_0_73,c_0_216]) ).

cnf(c_0_221,plain,
    ( incident(ac,b1c1)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob) ),
    inference(spm,[status(thm)],[c_0_204,c_0_217]) ).

cnf(c_0_222,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(X1,a2c2)
    | ~ line_equal(X1,b1c1) ),
    inference(spm,[status(thm)],[c_0_218,c_0_198]) ).

cnf(c_0_223,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(oc,b1c1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_206]),c_0_75])]),c_0_203]) ).

cnf(c_0_224,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | incident(X1,oa)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_220]) ).

cnf(c_0_225,plain,
    ( incident(ac,oc)
    | incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_209,c_0_221]) ).

cnf(c_0_226,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(oc,a2c2) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_227,plain,
    ( incident(ac,oa)
    | incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_228,plain,
    ( point_equal(X1,c1)
    | line_equal(a1c1,b1c1)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,a1c1) ),
    inference(spm,[status(thm)],[c_0_215,c_0_63]) ).

cnf(c_0_229,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(X1,a2c2)
    | ~ line_equal(X1,oc) ),
    inference(spm,[status(thm)],[c_0_218,c_0_226]) ).

cnf(c_0_230,plain,
    ( point_equal(ac,a1)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(a1c1,oa) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_227]),c_0_186])]) ).

fof(c_0_231,plain,
    ( ~ line_equal(a1c1,a2c2)
    | goal ),
    inference(fof_nnf,[status(thm)],[notac]) ).

cnf(c_0_232,plain,
    ( point_equal(ac,c1)
    | incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(a1c1,b1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_221]),c_0_186])]) ).

cnf(c_0_233,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(oa,a2c2) ),
    inference(spm,[status(thm)],[c_0_229,c_0_216]) ).

cnf(c_0_234,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(ac,X1)
    | line_equal(a1c1,oa)
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_230]) ).

cnf(c_0_235,plain,
    incident(a1,a1b1),
    inference(split_conjunct,[status(thm)],[ia1b1]) ).

cnf(c_0_236,plain,
    ( goal
    | ~ line_equal(a1c1,a2c2) ),
    inference(split_conjunct,[status(thm)],[c_0_231]) ).

cnf(c_0_237,plain,
    ( point_equal(c1,ac)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(a1c1,b1c1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_232]) ).

cnf(c_0_238,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(X1,a2c2)
    | ~ line_equal(X1,oa) ),
    inference(spm,[status(thm)],[c_0_218,c_0_233]) ).

cnf(c_0_239,plain,
    ( incident(ac,a1b1)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(a1c1,oa) ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_240,plain,
    ~ line_equal(a1c1,a2c2),
    inference(sr,[status(thm)],[c_0_236,c_0_52]) ).

cnf(c_0_241,plain,
    incident(b1,a1b1),
    inference(split_conjunct,[status(thm)],[ib1a1]) ).

cnf(c_0_242,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(c1,X1)
    | line_equal(a1c1,b1c1)
    | ~ incident(ac,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_237]) ).

cnf(c_0_243,plain,
    ( incident(ac,a1b1)
    | incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).

cnf(c_0_244,plain,
    ~ incident(c1,a1b1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_235]),c_0_241])]) ).

cnf(c_0_245,plain,
    ( point_equal(X1,b2)
    | line_equal(X2,ob)
    | ~ incident(b2,X2)
    | ~ incident(X1,ob)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_100]) ).

cnf(c_0_246,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,ob)
    | line_equal(a1c1,b1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).

cnf(c_0_247,plain,
    ( point_equal(X1,b2)
    | line_equal(a2b2,ob)
    | ~ incident(X1,ob)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_245,c_0_66]) ).

cnf(c_0_248,plain,
    ( incident(a2,ob)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_246]),c_0_240]) ).

cnf(c_0_249,plain,
    ( point_equal(X1,b1)
    | incident(a1,b2c2)
    | line_equal(a2c2,ob)
    | ~ incident(X1,ob)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_193]) ).

cnf(c_0_250,plain,
    ( point_equal(a2,b2)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | line_equal(a2b2,ob) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_82])]) ).

cnf(c_0_251,plain,
    ( point_equal(a2,b1)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(a2c2,ob) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_248]),c_0_97])]) ).

cnf(c_0_252,plain,
    ( point_equal(b2,a2)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(a2b2,ob) ),
    inference(spm,[status(thm)],[c_0_137,c_0_250]) ).

cnf(c_0_253,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,X1)
    | line_equal(a2c2,ob)
    | ~ incident(b1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_251]) ).

fof(c_0_254,plain,
    ( ~ line_equal(a1b1,a2b2)
    | goal ),
    inference(fof_nnf,[status(thm)],[notab]) ).

cnf(c_0_255,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(b2,X1)
    | line_equal(a2b2,ob)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_252]) ).

cnf(c_0_256,plain,
    ( incident(a2,a1b1)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(a2c2,ob) ),
    inference(spm,[status(thm)],[c_0_253,c_0_241]) ).

cnf(c_0_257,plain,
    ( goal
    | ~ line_equal(a1b1,a2b2) ),
    inference(split_conjunct,[status(thm)],[c_0_254]) ).

cnf(c_0_258,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(a2b2,ob) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_97]),c_0_104]) ).

cnf(c_0_259,plain,
    ( point_equal(X1,a1)
    | line_equal(X2,a1b1)
    | ~ incident(a1,X2)
    | ~ incident(X1,a1b1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_235]) ).

cnf(c_0_260,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(a2,a1b1)
    | incident(X1,ob)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_256]) ).

cnf(c_0_261,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | ~ incident(c2,ob) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_248]),c_0_100])]) ).

cnf(c_0_262,plain,
    ( point_equal(X1,ab)
    | line_equal(X2,a2b2)
    | ~ incident(ab,X2)
    | ~ incident(X1,a2b2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_185]) ).

cnf(c_0_263,plain,
    incident(ab,a1b1),
    inference(split_conjunct,[status(thm)],[iab1]) ).

cnf(c_0_264,plain,
    ~ line_equal(a1b1,a2b2),
    inference(sr,[status(thm)],[c_0_257,c_0_52]) ).

cnf(c_0_265,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | line_equal(ob,a2b2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_258]) ).

cnf(c_0_266,plain,
    ( point_equal(X1,a1)
    | line_equal(oa,a1b1)
    | ~ incident(X1,a1b1)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_259,c_0_119]) ).

cnf(c_0_267,plain,
    ( incident(a2,a1b1)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_98]),c_0_261]) ).

cnf(c_0_268,plain,
    ( point_equal(X1,ab)
    | ~ incident(X1,a2b2)
    | ~ incident(X1,a1b1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264]) ).

cnf(c_0_269,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(X1,a2b2)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_265]) ).

cnf(c_0_270,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | line_equal(oa,a1b1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_131])]),c_0_132]) ).

cnf(c_0_271,plain,
    ( point_equal(a2,ab)
    | ~ incident(a2,a1b1) ),
    inference(spm,[status(thm)],[c_0_268,c_0_82]) ).

cnf(c_0_272,plain,
    ( incident(o,a2b2)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_269,c_0_118]) ).

cnf(c_0_273,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(X1,a1b1)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_76,c_0_270]) ).

cnf(c_0_274,plain,
    ( point_equal(a2,ab)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_271,c_0_267]) ).

cnf(c_0_275,plain,
    ( point_equal(o,ab)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | ~ incident(o,a1b1) ),
    inference(spm,[status(thm)],[c_0_268,c_0_272]) ).

cnf(c_0_276,plain,
    ( incident(o,a1b1)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_273,c_0_129]) ).

cnf(c_0_277,plain,
    ( point_equal(ab,a2)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_274]) ).

cnf(c_0_278,plain,
    ( point_equal(o,ab)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_279,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | incident(ab,X1)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_277]) ).

cnf(c_0_280,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(o,X1)
    | ~ incident(ab,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_278]) ).

cnf(c_0_281,plain,
    ( incident(ab,b1c1)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_54]) ).

cnf(c_0_282,plain,
    ( incident(o,b1c1)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_283,plain,
    ( point_equal(o,c1)
    | incident(c1,a2b2)
    | incident(a1,b2c2)
    | line_equal(oc,b1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_282]),c_0_116])]) ).

cnf(c_0_284,plain,
    ( point_equal(c1,o)
    | incident(a1,b2c2)
    | incident(c1,a2b2)
    | line_equal(oc,b1c1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_283]) ).

cnf(c_0_285,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(c1,X1)
    | line_equal(oc,b1c1)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_284]) ).

cnf(c_0_286,plain,
    ( incident(a1,b2c2)
    | incident(c1,a2b2)
    | line_equal(oc,b1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_276]),c_0_244]) ).

cnf(c_0_287,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(X1,b1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_286]) ).

cnf(c_0_288,plain,
    ( point_equal(c2,bc)
    | ~ incident(c2,b1c1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_80]) ).

cnf(c_0_289,plain,
    ( incident(c2,b1c1)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_287,c_0_75]) ).

cnf(c_0_290,plain,
    ( point_equal(c2,bc)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_291,plain,
    ( point_equal(bc,c2)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_290]) ).

cnf(c_0_292,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2)
    | incident(bc,X1)
    | ~ incident(c2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_291]) ).

cnf(c_0_293,plain,
    ( point_equal(X1,b2)
    | line_equal(X2,a2b2)
    | ~ incident(b2,X2)
    | ~ incident(X1,a2b2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_66]) ).

cnf(c_0_294,plain,
    ( incident(bc,a2c2)
    | incident(a1,b2c2)
    | incident(c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_292,c_0_98]) ).

cnf(c_0_295,plain,
    ( incident(ab,a2c2)
    | incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_97]) ).

cnf(c_0_296,plain,
    ( point_equal(X1,b2)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2)
    | ~ incident(X1,a2b2)
    | ~ incident(X1,a1c1) ),
    inference(spm,[status(thm)],[c_0_293,c_0_56]) ).

cnf(c_0_297,plain,
    ( incident(c1,a2b2)
    | incident(a1,b2c2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_294]),c_0_217])]),c_0_295]) ).

cnf(c_0_298,plain,
    ( point_equal(c1,b2)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_63])]) ).

cnf(c_0_299,plain,
    ( point_equal(b2,c1)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_298]) ).

cnf(c_0_300,plain,
    ( incident(a1,b2c2)
    | incident(b2,X1)
    | line_equal(a1c1,a2b2)
    | ~ incident(c1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_299]) ).

cnf(c_0_301,plain,
    ( incident(b2,oc)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_300,c_0_71]) ).

cnf(c_0_302,plain,
    ( incident(a1,b2c2)
    | incident(b2,oc)
    | line_equal(a2b2,a1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_301]) ).

cnf(c_0_303,plain,
    ( incident(b2,oc)
    | incident(a1,b2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_302]) ).

cnf(c_0_304,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | incident(b2,oc) ),
    inference(spm,[status(thm)],[c_0_303,c_0_82]) ).

cnf(c_0_305,plain,
    ( incident(b2,b1c1)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_300,c_0_78]) ).

cnf(c_0_306,plain,
    ( point_equal(b2,c2)
    | incident(a1,b2c2)
    | incident(a2,a1c1)
    | line_equal(b2c2,oc) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_304]),c_0_89])]) ).

cnf(c_0_307,plain,
    ( incident(a1,b2c2)
    | incident(b2,b1c1)
    | line_equal(a2b2,a1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_305]) ).

cnf(c_0_308,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | incident(b2,X1)
    | line_equal(b2c2,oc)
    | ~ incident(c2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_306]) ).

cnf(c_0_309,plain,
    ( point_equal(X1,b1)
    | line_equal(X2,b1c1)
    | ~ incident(b1,X2)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_92]) ).

cnf(c_0_310,plain,
    ( incident(b2,b1c1)
    | incident(a1,b2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,a2b2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_307]) ).

cnf(c_0_311,plain,
    ( incident(a1,b2c2)
    | incident(a2,a1c1)
    | line_equal(b2c2,oc) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_98]),c_0_104]) ).

cnf(c_0_312,plain,
    ( point_equal(X1,b1)
    | line_equal(ob,b1c1)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_309,c_0_84]) ).

cnf(c_0_313,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | incident(b2,b1c1) ),
    inference(spm,[status(thm)],[c_0_310,c_0_82]) ).

cnf(c_0_314,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | line_equal(oc,b2c2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_311]) ).

cnf(c_0_315,plain,
    ( incident(a1,b2c2)
    | incident(a2,a1c1)
    | line_equal(ob,b1c1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_100])]),c_0_101]) ).

cnf(c_0_316,plain,
    ( point_equal(b2,bc)
    | ~ incident(b2,b1c1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_89]) ).

cnf(c_0_317,plain,
    ( incident(a1,b2c2)
    | incident(a2,a1c1)
    | incident(X1,b2c2)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_314]) ).

cnf(c_0_318,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | incident(X1,b1c1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_315]) ).

cnf(c_0_319,plain,
    ( point_equal(b2,bc)
    | incident(a1,b2c2)
    | incident(a2,a1c1) ),
    inference(spm,[status(thm)],[c_0_316,c_0_313]) ).

cnf(c_0_320,plain,
    ( incident(o,b2c2)
    | incident(a2,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_317,c_0_116]) ).

cnf(c_0_321,plain,
    ( incident(o,b1c1)
    | incident(a1,b2c2)
    | incident(a2,a1c1) ),
    inference(spm,[status(thm)],[c_0_318,c_0_118]) ).

cnf(c_0_322,plain,
    ( point_equal(bc,b2)
    | incident(a2,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_319]) ).

cnf(c_0_323,plain,
    ( point_equal(o,bc)
    | incident(a1,b2c2)
    | incident(a2,a1c1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_320]),c_0_321]) ).

cnf(c_0_324,plain,
    ( incident(a1,b2c2)
    | incident(a2,a1c1)
    | incident(bc,X1)
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_322]) ).

cnf(c_0_325,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2)
    | incident(o,X1)
    | ~ incident(bc,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_323]) ).

cnf(c_0_326,plain,
    ( incident(bc,a1c1)
    | incident(a2,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_324,c_0_56]) ).

cnf(c_0_327,plain,
    ( incident(o,a1c1)
    | incident(a1,b2c2)
    | incident(a2,a1c1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_326]) ).

cnf(c_0_328,plain,
    ( point_equal(o,a1)
    | incident(a1,b2c2)
    | line_equal(a1c1,oa) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_327]),c_0_136]) ).

cnf(c_0_329,plain,
    ( point_equal(a1,o)
    | incident(a1,b2c2)
    | line_equal(a1c1,oa) ),
    inference(spm,[status(thm)],[c_0_137,c_0_328]) ).

cnf(c_0_330,plain,
    ( incident(a1,b2c2)
    | incident(a1,X1)
    | line_equal(a1c1,oa)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_329]) ).

cnf(c_0_331,plain,
    ( incident(a1,b2c2)
    | line_equal(a1c1,oa) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_320]),c_0_136]) ).

cnf(c_0_332,plain,
    ( incident(a1,b2c2)
    | incident(c1,X1)
    | line_equal(a1c1,a2b2)
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_298]) ).

cnf(c_0_333,plain,
    ( incident(a1,b2c2)
    | line_equal(oa,a1c1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_331]) ).

cnf(c_0_334,plain,
    ( incident(c1,b2c2)
    | incident(a1,b2c2)
    | line_equal(a1c1,a2b2) ),
    inference(spm,[status(thm)],[c_0_332,c_0_89]) ).

cnf(c_0_335,plain,
    ( incident(a1,b2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_76,c_0_333]) ).

cnf(c_0_336,plain,
    ( incident(a1,b2c2)
    | incident(c1,b2c2)
    | incident(X1,a2b2)
    | ~ incident(X1,a1c1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_334]) ).

cnf(c_0_337,plain,
    ( point_equal(X1,ac)
    | line_equal(X2,a2c2)
    | ~ incident(ac,X2)
    | ~ incident(X1,a2c2)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_217]) ).

cnf(c_0_338,plain,
    ( incident(o,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_335,c_0_129]) ).

cnf(c_0_339,plain,
    ( incident(a1,a2b2)
    | incident(c1,b2c2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_336,c_0_125]) ).

cnf(c_0_340,plain,
    ( point_equal(X1,ac)
    | ~ incident(X1,a2c2)
    | ~ incident(X1,a1c1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_186]),c_0_240]) ).

cnf(c_0_341,plain,
    ( point_equal(o,b2)
    | incident(a1,b2c2)
    | line_equal(ob,a1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_338]),c_0_118])]) ).

cnf(c_0_342,plain,
    ( point_equal(c1,bc)
    | incident(a1,b2c2)
    | incident(a1,a2b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_339]),c_0_78])]) ).

cnf(c_0_343,plain,
    ( point_equal(a2,ac)
    | ~ incident(a2,a1c1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_97]) ).

cnf(c_0_344,plain,
    ( incident(a2,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_335,c_0_131]) ).

cnf(c_0_345,plain,
    ( incident(a1,b2c2)
    | incident(o,X1)
    | line_equal(ob,a1c1)
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_341]) ).

cnf(c_0_346,plain,
    ( point_equal(o,c1)
    | incident(a1,b2c2)
    | line_equal(oc,a1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_338]),c_0_116])]) ).

cnf(c_0_347,plain,
    ( point_equal(bc,c1)
    | incident(a1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_342]) ).

cnf(c_0_348,plain,
    ( point_equal(a2,ac)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_349,plain,
    ( incident(o,b2c2)
    | incident(a1,b2c2)
    | line_equal(ob,a1c1) ),
    inference(spm,[status(thm)],[c_0_345,c_0_89]) ).

cnf(c_0_350,plain,
    ( incident(a1,b2c2)
    | incident(o,X1)
    | line_equal(oc,a1c1)
    | ~ incident(c1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_346]) ).

cnf(c_0_351,plain,
    ( incident(a1,b2c2)
    | incident(a1,a2b2)
    | incident(bc,X1)
    | ~ incident(c1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_347]) ).

cnf(c_0_352,plain,
    ( point_equal(ac,a2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_348]) ).

cnf(c_0_353,plain,
    ( incident(a1,b2c2)
    | incident(o,b2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_349]) ).

cnf(c_0_354,plain,
    ( incident(o,b1c1)
    | incident(a1,b2c2)
    | line_equal(oc,a1c1) ),
    inference(spm,[status(thm)],[c_0_350,c_0_78]) ).

cnf(c_0_355,plain,
    ( incident(bc,a2b2)
    | incident(a1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_351,c_0_297]) ).

cnf(c_0_356,plain,
    ( incident(a1,b2c2)
    | incident(ac,X1)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_352]) ).

cnf(c_0_357,plain,
    ( incident(o,b2c2)
    | incident(a1,b2c2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_84]),c_0_161]) ).

cnf(c_0_358,plain,
    ( incident(a1,b2c2)
    | incident(o,b1c1)
    | incident(X1,a1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_354]) ).

cnf(c_0_359,plain,
    ( incident(a1,b2c2)
    | ~ incident(c2,a1c1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_344]),c_0_56]) ).

cnf(c_0_360,plain,
    ( incident(a1,b2c2)
    | incident(a1,a2b2)
    | ~ incident(ac,a2b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_355]),c_0_185])]) ).

cnf(c_0_361,plain,
    ( incident(ac,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_356,c_0_82]) ).

cnf(c_0_362,plain,
    ( point_equal(o,bc)
    | incident(a1,b2c2)
    | ~ incident(o,b1c1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_357]) ).

cnf(c_0_363,plain,
    ( incident(o,b1c1)
    | incident(a1,b2c2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_75]),c_0_359]) ).

cnf(c_0_364,plain,
    ( incident(a1,a2b2)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_365,plain,
    ( point_equal(o,bc)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_366,plain,
    ( point_equal(a1,ab)
    | incident(a1,b2c2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_364]),c_0_235])]) ).

cnf(c_0_367,plain,
    ( point_equal(bc,o)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_365]) ).

cnf(c_0_368,plain,
    ( point_equal(ab,a1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_366]) ).

cnf(c_0_369,plain,
    ( point_equal(X1,c2)
    | incident(b1,a2c2)
    | line_equal(X2,a1b1)
    | ~ incident(c2,X2)
    | ~ incident(X1,a1b1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_59]) ).

cnf(c_0_370,plain,
    ( incident(a1,b2c2)
    | incident(bc,X1)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_367]) ).

cnf(c_0_371,plain,
    ( incident(a1,b2c2)
    | incident(ab,X1)
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_368]) ).

cnf(c_0_372,plain,
    ( point_equal(X1,c2)
    | incident(b1,a2c2)
    | line_equal(b2c2,a1b1)
    | ~ incident(X1,a1b1)
    | ~ incident(X1,b2c2) ),
    inference(spm,[status(thm)],[c_0_369,c_0_80]) ).

cnf(c_0_373,plain,
    ( incident(bc,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_370,c_0_338]) ).

cnf(c_0_374,plain,
    ( incident(ab,a1c1)
    | incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_371,c_0_125]) ).

cnf(c_0_375,plain,
    ( point_equal(a1,c2)
    | incident(b1,a2c2)
    | line_equal(b2c2,a1b1)
    | ~ incident(a1,b2c2) ),
    inference(spm,[status(thm)],[c_0_372,c_0_235]) ).

cnf(c_0_376,plain,
    incident(a1,b2c2),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_373]),c_0_186])]),c_0_374]) ).

cnf(c_0_377,plain,
    ( point_equal(a1,c2)
    | incident(b1,a2c2)
    | line_equal(b2c2,a1b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_376])]) ).

cnf(c_0_378,plain,
    ( point_equal(c2,a1)
    | incident(b1,a2c2)
    | line_equal(b2c2,a1b1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_377]) ).

cnf(c_0_379,plain,
    ( incident(b1,a2c2)
    | incident(c2,X1)
    | line_equal(b2c2,a1b1)
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_378]) ).

cnf(c_0_380,plain,
    ( incident(c2,oa)
    | incident(b1,a2c2)
    | line_equal(b2c2,a1b1) ),
    inference(spm,[status(thm)],[c_0_379,c_0_119]) ).

cnf(c_0_381,plain,
    ( incident(b1,a2c2)
    | incident(c2,oa)
    | incident(X1,a1b1)
    | ~ incident(X1,b2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_380]) ).

cnf(c_0_382,plain,
    ( point_equal(X1,a2)
    | line_equal(a2c2,oa)
    | ~ incident(X1,oa)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_164,c_0_97]) ).

cnf(c_0_383,plain,
    ( incident(b2,a1b1)
    | incident(c2,oa)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_381,c_0_89]) ).

cnf(c_0_384,plain,
    ( point_equal(c2,a2)
    | incident(b1,a2c2)
    | incident(b2,a1b1)
    | line_equal(a2c2,oa) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_98])]) ).

cnf(c_0_385,plain,
    ( incident(c2,a1c1)
    | incident(b1,a2c2)
    | line_equal(b2c2,a1b1) ),
    inference(spm,[status(thm)],[c_0_379,c_0_125]) ).

cnf(c_0_386,plain,
    ( incident(b2,a1b1)
    | incident(b1,a2c2)
    | incident(c2,X1)
    | line_equal(a2c2,oa)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_384]) ).

cnf(c_0_387,plain,
    ~ incident(c2,a2b2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_66])]) ).

cnf(c_0_388,plain,
    ( incident(b1,a2c2)
    | incident(c2,a1c1)
    | incident(X1,a1b1)
    | ~ incident(X1,b2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_385]) ).

cnf(c_0_389,plain,
    ( incident(b1,a2c2)
    | incident(b2,a1b1)
    | line_equal(a2c2,oa) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_82]),c_0_387]) ).

cnf(c_0_390,plain,
    ( incident(b2,a1b1)
    | incident(c2,a1c1)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_388,c_0_89]) ).

cnf(c_0_391,plain,
    ( incident(b2,a1b1)
    | incident(b1,a2c2)
    | line_equal(oa,a2c2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_389]) ).

cnf(c_0_392,plain,
    ( incident(b1,a2c2)
    | incident(b2,a1b1)
    | line_equal(oc,a1c1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_390]),c_0_75])]),c_0_203]) ).

cnf(c_0_393,plain,
    ( point_equal(c2,ac)
    | ~ incident(c2,a1c1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_98]) ).

cnf(c_0_394,plain,
    ( incident(b1,a2c2)
    | incident(b2,a1b1)
    | incident(X1,a2c2)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_76,c_0_391]) ).

cnf(c_0_395,plain,
    ( incident(b2,a1b1)
    | incident(b1,a2c2)
    | incident(X1,a1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_392]) ).

cnf(c_0_396,plain,
    ( point_equal(c2,ac)
    | incident(b1,a2c2)
    | incident(b2,a1b1) ),
    inference(spm,[status(thm)],[c_0_393,c_0_390]) ).

cnf(c_0_397,plain,
    ( incident(o,a2c2)
    | incident(b2,a1b1)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_394,c_0_129]) ).

cnf(c_0_398,plain,
    ( incident(o,a1c1)
    | incident(b1,a2c2)
    | incident(b2,a1b1) ),
    inference(spm,[status(thm)],[c_0_395,c_0_116]) ).

cnf(c_0_399,plain,
    ( point_equal(ac,c2)
    | incident(b2,a1b1)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_396]) ).

cnf(c_0_400,plain,
    ( point_equal(o,ac)
    | incident(b1,a2c2)
    | incident(b2,a1b1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_397]),c_0_398]) ).

cnf(c_0_401,plain,
    ( incident(b1,a2c2)
    | incident(b2,a1b1)
    | incident(ac,X1)
    | ~ incident(c2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_399]) ).

cnf(c_0_402,plain,
    ( point_equal(X1,b1)
    | line_equal(a1b1,ob)
    | ~ incident(X1,ob)
    | ~ incident(X1,a1b1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_241]) ).

cnf(c_0_403,plain,
    ( incident(b2,a1b1)
    | incident(b1,a2c2)
    | incident(o,X1)
    | ~ incident(ac,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_400]) ).

cnf(c_0_404,plain,
    ( incident(ac,a1b1)
    | incident(b2,a1b1)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_401,c_0_59]) ).

cnf(c_0_405,plain,
    ( point_equal(o,b1)
    | line_equal(a1b1,ob)
    | ~ incident(o,a1b1) ),
    inference(spm,[status(thm)],[c_0_402,c_0_118]) ).

cnf(c_0_406,plain,
    ( incident(o,a1b1)
    | incident(b1,a2c2)
    | incident(b2,a1b1) ),
    inference(spm,[status(thm)],[c_0_403,c_0_404]) ).

cnf(c_0_407,plain,
    ( line_equal(a1b1,ob)
    | ~ incident(b2,a1b1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_100]),c_0_101]) ).

cnf(c_0_408,plain,
    ( point_equal(o,b1)
    | incident(b1,a2c2)
    | line_equal(a1b1,ob) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]) ).

cnf(c_0_409,plain,
    ( point_equal(b1,o)
    | incident(b1,a2c2)
    | line_equal(a1b1,ob) ),
    inference(spm,[status(thm)],[c_0_137,c_0_408]) ).

cnf(c_0_410,plain,
    ( incident(b1,a2c2)
    | incident(b1,X1)
    | line_equal(a1b1,ob)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_409]) ).

cnf(c_0_411,plain,
    ( incident(b1,a2c2)
    | line_equal(a1b1,ob) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_398]),c_0_161]),c_0_407]) ).

cnf(c_0_412,plain,
    ( point_equal(X1,o)
    | line_equal(X2,ob)
    | ~ incident(o,X2)
    | ~ incident(X1,ob)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_118]) ).

cnf(c_0_413,plain,
    ( incident(b1,a2c2)
    | incident(X1,ob)
    | ~ incident(X1,a1b1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_411]) ).

cnf(c_0_414,plain,
    ( point_equal(X1,o)
    | line_equal(oc,ob)
    | ~ incident(X1,ob)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_412,c_0_116]) ).

cnf(c_0_415,plain,
    ( incident(c2,ob)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_413,c_0_59]) ).

cnf(c_0_416,plain,
    ( point_equal(c2,o)
    | incident(b1,a2c2)
    | line_equal(oc,ob) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_75])]) ).

cnf(c_0_417,plain,
    ( incident(b1,a2c2)
    | line_equal(ob,a1b1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_411]) ).

cnf(c_0_418,plain,
    ( incident(b1,a2c2)
    | incident(c2,X1)
    | line_equal(oc,ob)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_416]) ).

cnf(c_0_419,plain,
    ( incident(b1,a2c2)
    | line_equal(X1,a1b1)
    | ~ line_equal(X1,ob) ),
    inference(spm,[status(thm)],[c_0_218,c_0_417]) ).

cnf(c_0_420,plain,
    ( incident(c2,oa)
    | incident(b1,a2c2)
    | line_equal(oc,ob) ),
    inference(spm,[status(thm)],[c_0_418,c_0_129]) ).

cnf(c_0_421,plain,
    ( incident(c2,oa)
    | incident(b1,a2c2)
    | line_equal(oc,a1b1) ),
    inference(spm,[status(thm)],[c_0_419,c_0_420]) ).

cnf(c_0_422,plain,
    ( incident(b1,a2c2)
    | incident(X1,a1b1)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_417]) ).

cnf(c_0_423,plain,
    ( incident(b1,a2c2)
    | incident(c2,oa)
    | incident(X1,a1b1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_421]) ).

cnf(c_0_424,plain,
    ( point_equal(X1,b2)
    | line_equal(b2c2,ob)
    | ~ incident(X1,ob)
    | ~ incident(X1,b2c2) ),
    inference(spm,[status(thm)],[c_0_245,c_0_89]) ).

cnf(c_0_425,plain,
    ( point_equal(X1,c2)
    | incident(b1,a2c2)
    | line_equal(oc,a1b1)
    | ~ incident(X1,a1b1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_369,c_0_75]) ).

cnf(c_0_426,plain,
    ( incident(o,a1b1)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_422,c_0_118]) ).

cnf(c_0_427,plain,
    ( incident(c2,oa)
    | incident(b1,a2c2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_71]),c_0_244]) ).

cnf(c_0_428,plain,
    ( point_equal(c2,b2)
    | incident(b1,a2c2)
    | line_equal(b2c2,ob) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_415]),c_0_80])]) ).

cnf(c_0_429,plain,
    ( point_equal(o,c2)
    | incident(b1,a2c2)
    | line_equal(oc,a1b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_116])]) ).

cnf(c_0_430,plain,
    ( point_equal(o,a1)
    | incident(b1,a2c2)
    | line_equal(oa,a1b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_426]),c_0_129])]) ).

cnf(c_0_431,plain,
    ( point_equal(c2,a2)
    | incident(b1,a2c2)
    | line_equal(a2c2,oa) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_427]),c_0_98])]) ).

cnf(c_0_432,plain,
    ( incident(b1,a2c2)
    | incident(c2,X1)
    | line_equal(b2c2,ob)
    | ~ incident(b2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_428]) ).

cnf(c_0_433,plain,
    ( incident(b1,a2c2)
    | incident(o,X1)
    | line_equal(oc,a1b1)
    | ~ incident(c2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_429]) ).

cnf(c_0_434,plain,
    ( incident(b1,a2c2)
    | incident(o,X1)
    | line_equal(oa,a1b1)
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_430]) ).

cnf(c_0_435,plain,
    ( incident(b1,a2c2)
    | incident(c2,X1)
    | line_equal(a2c2,oa)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_431]) ).

cnf(c_0_436,plain,
    ( incident(b1,a2c2)
    | line_equal(b2c2,ob) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_66]),c_0_387]) ).

cnf(c_0_437,plain,
    ( incident(o,a2c2)
    | incident(b1,a2c2)
    | line_equal(oc,a1b1) ),
    inference(spm,[status(thm)],[c_0_433,c_0_98]) ).

cnf(c_0_438,plain,
    ( incident(b1,a2c2)
    | line_equal(X1,ob)
    | ~ line_equal(X1,a1b1) ),
    inference(spm,[status(thm)],[c_0_218,c_0_411]) ).

cnf(c_0_439,plain,
    ( incident(o,a1c1)
    | incident(b1,a2c2)
    | line_equal(oa,a1b1) ),
    inference(spm,[status(thm)],[c_0_434,c_0_125]) ).

cnf(c_0_440,plain,
    ( incident(b1,a2c2)
    | line_equal(a2c2,oa) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_82]),c_0_387]) ).

cnf(c_0_441,plain,
    ( incident(b1,a2c2)
    | incident(X1,ob)
    | ~ incident(X1,b2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_436]) ).

cnf(c_0_442,plain,
    ( incident(b1,a2c2)
    | incident(o,a2c2)
    | incident(X1,a1b1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_437]) ).

cnf(c_0_443,plain,
    ( incident(o,a1c1)
    | incident(b1,a2c2)
    | line_equal(oa,ob) ),
    inference(spm,[status(thm)],[c_0_438,c_0_439]) ).

cnf(c_0_444,plain,
    ( incident(b1,a2c2)
    | incident(X1,oa)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_440]) ).

cnf(c_0_445,plain,
    ( incident(bc,ob)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_441,c_0_154]) ).

cnf(c_0_446,plain,
    ( incident(ab,ob)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_413,c_0_263]) ).

cnf(c_0_447,plain,
    ( incident(o,a2c2)
    | incident(b1,a2c2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_71]),c_0_244]) ).

cnf(c_0_448,plain,
    ( incident(b1,a2c2)
    | incident(o,a1c1)
    | incident(X1,ob)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_76,c_0_443]) ).

cnf(c_0_449,plain,
    ( incident(ac,oa)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_444,c_0_217]) ).

cnf(c_0_450,plain,
    ( incident(b1,a2c2)
    | ~ incident(ac,ob) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_445]),c_0_446]) ).

cnf(c_0_451,plain,
    ( point_equal(o,ac)
    | incident(b1,a2c2)
    | ~ incident(o,a1c1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_447]) ).

cnf(c_0_452,plain,
    ( incident(o,a1c1)
    | incident(b1,a2c2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_450]) ).

fof(c_0_453,plain,
    ( ~ incident(a1,b2c2)
    | ~ incident(b1,a2c2)
    | ~ incident(c1,a2b2)
    | goal ),
    inference(fof_nnf,[status(thm)],[t1in2]) ).

cnf(c_0_454,plain,
    ( point_equal(o,ac)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_451,c_0_452]) ).

cnf(c_0_455,plain,
    ( goal
    | ~ incident(a1,b2c2)
    | ~ incident(b1,a2c2)
    | ~ incident(c1,a2b2) ),
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_456,plain,
    ( point_equal(ac,o)
    | incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_454]) ).

cnf(c_0_457,plain,
    ( point_equal(X1,a2)
    | incident(c1,a2b2)
    | line_equal(X2,b1c1)
    | ~ incident(a2,X2)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_54]) ).

cnf(c_0_458,plain,
    ( ~ incident(a1,b2c2)
    | ~ incident(b1,a2c2)
    | ~ incident(c1,a2b2) ),
    inference(sr,[status(thm)],[c_0_455,c_0_52]) ).

cnf(c_0_459,plain,
    ( incident(b1,a2c2)
    | incident(ac,X1)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_456]) ).

cnf(c_0_460,plain,
    ( point_equal(X1,a2)
    | incident(c1,a2b2)
    | line_equal(a2c2,b1c1)
    | ~ incident(X1,b1c1)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_457,c_0_97]) ).

cnf(c_0_461,plain,
    ( ~ incident(b1,a2c2)
    | ~ incident(c1,a2b2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_376])]) ).

cnf(c_0_462,plain,
    incident(b1,a2c2),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_118]),c_0_450]) ).

cnf(c_0_463,plain,
    ( point_equal(b1,a2)
    | incident(c1,a2b2)
    | line_equal(a2c2,b1c1)
    | ~ incident(b1,a2c2) ),
    inference(spm,[status(thm)],[c_0_460,c_0_92]) ).

cnf(c_0_464,plain,
    ~ incident(c1,a2b2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_462])]) ).

cnf(c_0_465,plain,
    ( point_equal(b1,a2)
    | line_equal(a2c2,b1c1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_462])]),c_0_464]) ).

cnf(c_0_466,plain,
    ( incident(b1,X1)
    | line_equal(a2c2,b1c1)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_465]) ).

cnf(c_0_467,plain,
    ( incident(b1,oa)
    | line_equal(a2c2,b1c1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_131]) ).

cnf(c_0_468,plain,
    ( incident(b1,oa)
    | incident(X1,b1c1)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_467]) ).

cnf(c_0_469,plain,
    ( incident(c2,b1c1)
    | incident(b1,oa) ),
    inference(spm,[status(thm)],[c_0_468,c_0_98]) ).

cnf(c_0_470,plain,
    ( incident(b1,oa)
    | line_equal(b1c1,oc) ),
    inference(spm,[status(thm)],[c_0_205,c_0_469]) ).

cnf(c_0_471,plain,
    ( incident(b1,oa)
    | incident(X1,oc)
    | ~ incident(X1,b1c1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_470]) ).

cnf(c_0_472,plain,
    ( point_equal(X1,o)
    | line_equal(ob,oc)
    | ~ incident(X1,oc)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_208,c_0_118]) ).

cnf(c_0_473,plain,
    ( incident(b1,oc)
    | incident(b1,oa) ),
    inference(spm,[status(thm)],[c_0_471,c_0_92]) ).

cnf(c_0_474,plain,
    ( point_equal(b1,o)
    | incident(b1,oa)
    | line_equal(ob,oc) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_84])]) ).

cnf(c_0_475,plain,
    ( incident(b1,oa)
    | incident(b1,X1)
    | line_equal(ob,oc)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_474]) ).

cnf(c_0_476,plain,
    incident(a2,b1c1),
    inference(sr,[status(thm)],[c_0_54,c_0_464]) ).

cnf(c_0_477,plain,
    ( incident(b1,oa)
    | line_equal(ob,oc) ),
    inference(spm,[status(thm)],[c_0_475,c_0_129]) ).

cnf(c_0_478,plain,
    ( incident(a2,oc)
    | incident(b1,oa) ),
    inference(spm,[status(thm)],[c_0_471,c_0_476]) ).

cnf(c_0_479,plain,
    ( incident(b1,oa)
    | incident(X1,oc)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_477]) ).

cnf(c_0_480,plain,
    ( incident(b1,oa)
    | ~ incident(b2,oc) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_478]),c_0_75])]) ).

cnf(c_0_481,plain,
    ( point_equal(b1,a1)
    | line_equal(oa,a1b1)
    | ~ incident(b1,oa) ),
    inference(spm,[status(thm)],[c_0_266,c_0_241]) ).

cnf(c_0_482,plain,
    incident(b1,oa),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_100]),c_0_480]) ).

cnf(c_0_483,plain,
    ( point_equal(b1,a1)
    | line_equal(oa,a1b1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_482])]) ).

cnf(c_0_484,plain,
    ( incident(b1,X1)
    | line_equal(oa,a1b1)
    | ~ incident(a1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_483]) ).

cnf(c_0_485,plain,
    line_equal(oa,a1b1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_125]),c_0_161]) ).

cnf(c_0_486,plain,
    ( incident(X1,a1b1)
    | ~ incident(X1,oa) ),
    inference(spm,[status(thm)],[c_0_76,c_0_485]) ).

cnf(c_0_487,plain,
    incident(a2,a1b1),
    inference(spm,[status(thm)],[c_0_486,c_0_131]) ).

cnf(c_0_488,plain,
    ( incident(b1,a2b2)
    | line_equal(a2c2,b1c1) ),
    inference(spm,[status(thm)],[c_0_466,c_0_82]) ).

cnf(c_0_489,plain,
    point_equal(a2,ab),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_487])]) ).

cnf(c_0_490,plain,
    ( incident(b1,a2b2)
    | incident(X1,b1c1)
    | ~ incident(X1,a2c2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_488]) ).

cnf(c_0_491,plain,
    point_equal(ab,a2),
    inference(spm,[status(thm)],[c_0_137,c_0_489]) ).

cnf(c_0_492,plain,
    ( ~ incident(ac,b1c1)
    | ~ incident(ab,b1c1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_159]) ).

cnf(c_0_493,plain,
    ( incident(ac,b1c1)
    | incident(b1,a2b2) ),
    inference(spm,[status(thm)],[c_0_490,c_0_217]) ).

cnf(c_0_494,plain,
    ( incident(ab,X1)
    | ~ incident(a2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_491]) ).

cnf(c_0_495,plain,
    ( incident(b1,a2b2)
    | ~ incident(ab,b1c1) ),
    inference(spm,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_496,plain,
    incident(ab,b1c1),
    inference(spm,[status(thm)],[c_0_494,c_0_476]) ).

cnf(c_0_497,plain,
    ( point_equal(b1,b2)
    | line_equal(a2b2,ob)
    | ~ incident(b1,a2b2) ),
    inference(spm,[status(thm)],[c_0_247,c_0_84]) ).

cnf(c_0_498,plain,
    incident(b1,a2b2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_496])]) ).

cnf(c_0_499,plain,
    ( point_equal(b1,b2)
    | line_equal(a2b2,ob) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_498])]) ).

cnf(c_0_500,plain,
    line_equal(a2b2,ob),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_499]),c_0_101]) ).

cnf(c_0_501,plain,
    line_equal(ob,a2b2),
    inference(spm,[status(thm)],[c_0_73,c_0_500]) ).

cnf(c_0_502,plain,
    ( incident(X1,a2b2)
    | ~ incident(X1,ob) ),
    inference(spm,[status(thm)],[c_0_76,c_0_501]) ).

cnf(c_0_503,plain,
    incident(o,a2b2),
    inference(spm,[status(thm)],[c_0_502,c_0_118]) ).

cnf(c_0_504,plain,
    incident(o,a1b1),
    inference(spm,[status(thm)],[c_0_486,c_0_129]) ).

cnf(c_0_505,plain,
    point_equal(o,ab),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_503]),c_0_504])]) ).

cnf(c_0_506,plain,
    point_equal(ab,o),
    inference(spm,[status(thm)],[c_0_137,c_0_505]) ).

cnf(c_0_507,plain,
    point_equal(b1,ab),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_498]),c_0_241])]) ).

cnf(c_0_508,plain,
    ( incident(ab,X1)
    | ~ incident(o,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_506]) ).

cnf(c_0_509,plain,
    ( incident(b1,X1)
    | ~ incident(ab,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_507]) ).

cnf(c_0_510,plain,
    incident(ab,oc),
    inference(spm,[status(thm)],[c_0_508,c_0_116]) ).

cnf(c_0_511,plain,
    ( point_equal(b1,c1)
    | line_equal(oc,b1c1)
    | ~ incident(b1,oc) ),
    inference(spm,[status(thm)],[c_0_219,c_0_92]) ).

cnf(c_0_512,plain,
    incident(b1,oc),
    inference(spm,[status(thm)],[c_0_509,c_0_510]) ).

cnf(c_0_513,plain,
    ( point_equal(b1,c1)
    | line_equal(oc,b1c1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_511,c_0_512])]) ).

cnf(c_0_514,plain,
    ( incident(b1,X1)
    | line_equal(oc,b1c1)
    | ~ incident(c1,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_513]) ).

cnf(c_0_515,plain,
    line_equal(oc,b1c1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_63]),c_0_161]) ).

cnf(c_0_516,plain,
    ( incident(X1,b1c1)
    | ~ incident(X1,oc) ),
    inference(spm,[status(thm)],[c_0_76,c_0_515]) ).

cnf(c_0_517,plain,
    incident(c2,b1c1),
    inference(spm,[status(thm)],[c_0_516,c_0_75]) ).

cnf(c_0_518,plain,
    point_equal(c2,bc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_517])]) ).

cnf(c_0_519,plain,
    point_equal(bc,c2),
    inference(spm,[status(thm)],[c_0_137,c_0_518]) ).

cnf(c_0_520,plain,
    ( incident(bc,X1)
    | ~ incident(c2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_519]) ).

cnf(c_0_521,plain,
    incident(bc,a2c2),
    inference(spm,[status(thm)],[c_0_520,c_0_98]) ).

cnf(c_0_522,plain,
    incident(ab,a2c2),
    inference(spm,[status(thm)],[c_0_494,c_0_97]) ).

cnf(c_0_523,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_521]),c_0_217]),c_0_522])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 07:00:03 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.0Fa7EGuUmn/E---3.1_29683.p
% 12.66/2.65  # Version: 3.1pre001
% 12.66/2.65  # Preprocessing class: FSMSSMSMSSSNFFN.
% 12.66/2.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.66/2.65  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 12.66/2.65  # Starting new_bool_3 with 300s (1) cores
% 12.66/2.65  # Starting new_bool_1 with 300s (1) cores
% 12.66/2.65  # Starting sh5l with 300s (1) cores
% 12.66/2.65  # new_bool_1 with pid 29764 completed with status 8
% 12.66/2.65  # new_bool_3 with pid 29763 completed with status 8
% 12.66/2.65  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 29762 completed with status 0
% 12.66/2.65  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 12.66/2.65  # Preprocessing class: FSMSSMSMSSSNFFN.
% 12.66/2.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.66/2.65  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 12.66/2.65  # No SInE strategy applied
% 12.66/2.65  # Search class: FGUNF-FFMM00-SFFFFFNN
% 12.66/2.65  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.66/2.65  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.66/2.65  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 12.66/2.65  # Starting new_bool_3 with 136s (1) cores
% 12.66/2.65  # Starting new_bool_1 with 136s (1) cores
% 12.66/2.65  # Starting sh5l with 136s (1) cores
% 12.66/2.65  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 29771 completed with status 0
% 12.66/2.65  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 12.66/2.65  # Preprocessing class: FSMSSMSMSSSNFFN.
% 12.66/2.65  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.66/2.65  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 12.66/2.65  # No SInE strategy applied
% 12.66/2.65  # Search class: FGUNF-FFMM00-SFFFFFNN
% 12.66/2.65  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.66/2.65  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.66/2.65  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 12.66/2.65  # Preprocessing time       : 0.001 s
% 12.66/2.65  # Presaturation interreduction done
% 12.66/2.65  
% 12.66/2.65  # Proof found!
% 12.66/2.65  # SZS status Theorem
% 12.66/2.65  # SZS output start CNFRefutation
% See solution above
% 12.66/2.65  # Parsed axioms                        : 51
% 12.66/2.65  # Removed by relevancy pruning/SinE    : 0
% 12.66/2.65  # Initial clauses                      : 51
% 12.66/2.65  # Removed in clause preprocessing      : 0
% 12.66/2.65  # Initial clauses in saturation        : 51
% 12.66/2.65  # Processed clauses                    : 19202
% 12.66/2.65  # ...of these trivial                  : 99
% 12.66/2.65  # ...subsumed                          : 11091
% 12.66/2.65  # ...remaining for further processing  : 8012
% 12.66/2.65  # Other redundant clauses eliminated   : 0
% 12.66/2.65  # Clauses deleted for lack of memory   : 0
% 12.66/2.65  # Backward-subsumed                    : 6426
% 12.66/2.65  # Backward-rewritten                   : 1134
% 12.66/2.65  # Generated clauses                    : 94348
% 12.66/2.65  # ...of the previous two non-redundant : 70424
% 12.66/2.65  # ...aggressively subsumed             : 0
% 12.66/2.65  # Contextual simplify-reflections      : 104
% 12.66/2.65  # Paramodulations                      : 94345
% 12.66/2.65  # Factorizations                       : 0
% 12.66/2.65  # NegExts                              : 0
% 12.66/2.65  # Equation resolutions                 : 0
% 12.66/2.65  # Total rewrite steps                  : 28370
% 12.66/2.65  # Propositional unsat checks           : 0
% 12.66/2.65  #    Propositional check models        : 0
% 12.66/2.65  #    Propositional check unsatisfiable : 0
% 12.66/2.65  #    Propositional clauses             : 0
% 12.66/2.65  #    Propositional clauses after purity: 0
% 12.66/2.65  #    Propositional unsat core size     : 0
% 12.66/2.65  #    Propositional preprocessing time  : 0.000
% 12.66/2.65  #    Propositional encoding time       : 0.000
% 12.66/2.65  #    Propositional solver time         : 0.000
% 12.66/2.65  #    Success case prop preproc time    : 0.000
% 12.66/2.65  #    Success case prop encoding time   : 0.000
% 12.66/2.65  #    Success case prop solver time     : 0.000
% 12.66/2.65  # Current number of processed clauses  : 398
% 12.66/2.65  #    Positive orientable unit clauses  : 87
% 12.66/2.65  #    Positive unorientable unit clauses: 0
% 12.66/2.65  #    Negative unit clauses             : 18
% 12.66/2.65  #    Non-unit-clauses                  : 293
% 12.66/2.65  # Current number of unprocessed clauses: 215
% 12.66/2.65  # ...number of literals in the above   : 735
% 12.66/2.65  # Current number of archived formulas  : 0
% 12.66/2.65  # Current number of archived clauses   : 7614
% 12.66/2.65  # Clause-clause subsumption calls (NU) : 1213214
% 12.66/2.65  # Rec. Clause-clause subsumption calls : 78623
% 12.66/2.65  # Non-unit clause-clause subsumptions  : 17266
% 12.66/2.65  # Unit Clause-clause subsumption calls : 5356
% 12.66/2.65  # Rewrite failures with RHS unbound    : 0
% 12.66/2.65  # BW rewrite match attempts            : 41
% 12.66/2.65  # BW rewrite match successes           : 41
% 12.66/2.65  # Condensation attempts                : 0
% 12.66/2.65  # Condensation successes               : 0
% 12.66/2.65  # Termbank termtop insertions          : 1706571
% 12.66/2.65  
% 12.66/2.65  # -------------------------------------------------
% 12.66/2.65  # User time                : 2.080 s
% 12.66/2.65  # System time              : 0.028 s
% 12.66/2.65  # Total time               : 2.108 s
% 12.66/2.65  # Maximum resident set size: 1844 pages
% 12.66/2.65  
% 12.66/2.65  # -------------------------------------------------
% 12.66/2.65  # User time                : 10.545 s
% 12.66/2.65  # System time              : 0.080 s
% 12.66/2.65  # Total time               : 10.624 s
% 12.66/2.65  # Maximum resident set size: 1740 pages
% 12.66/2.65  % E---3.1 exiting
% 12.66/2.65  % E---3.1 exiting
%------------------------------------------------------------------------------