%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO168+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:19:28 PM UTC 2026
% Result : Theorem 248.98s 158.08s
% Output : CNFRefutation 249.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 25
% Syntax : Number of formulae : 1014 ( 65 unt; 0 def)
% Number of atoms : 3110 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 3616 (1520 ~;2053 |; 23 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-17 aty)
% Number of variables : 651 ( 18 sgn 108 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(colinearity_elimination2,axiom,
! [X1,X2,X3,X4] :
( colinear(X1,X2,X3,X4)
=> incident(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity_elimination2) ).
fof(unique,axiom,
! [X1,X2,X3,X4] :
( ( incident(X3,X1)
& incident(X3,X2)
& incident(X4,X1)
& incident(X4,X2) )
=> ( point_equal(X3,X4)
| line_equal(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
fof(assumption1,axiom,
( colinear(a,b,c,l)
& colinear(d,e,f,m) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption1) ).
fof(colinearity_elimination1,axiom,
! [X1,X2,X3,X4] :
( colinear(X1,X2,X3,X4)
=> incident(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity_elimination1) ).
fof(colinearity_elimination3,axiom,
! [X1,X2,X3,X4] :
( colinear(X1,X2,X3,X4)
=> incident(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity_elimination3) ).
fof(assumption4,axiom,
( colinear(c,d,i,r)
& colinear(a,f,i,s) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption4) ).
fof(lcon,axiom,
! [X1,X2,X3] :
( ( incident(X1,X2)
& line_equal(X2,X3) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcon) ).
fof(goaldl,axiom,
( incident(d,l)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goaldl) ).
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(symmetry_of_point_equal,axiom,
! [X1,X2] :
( point_equal(X1,X2)
=> point_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(assumption3,axiom,
( colinear(b,d,h,p)
& colinear(a,e,h,q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption3) ).
fof(pcon,axiom,
! [X1,X2,X3] :
( ( point_equal(X1,X2)
& incident(X2,X3) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pcon) ).
fof(assumption2,axiom,
( colinear(b,f,g,n)
& colinear(c,e,g,o) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption2) ).
fof(goal4,axiom,
! [X1] :
( ( incident(g,X1)
& incident(h,X1)
& incident(i,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal4) ).
fof(pappus1,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( colinear(X1,X2,X3,X10)
& colinear(X4,X5,X6,X11)
& colinear(X2,X6,X7,X12)
& colinear(X3,X5,X7,X13)
& colinear(X2,X4,X8,X14)
& colinear(X1,X5,X8,X15)
& colinear(X3,X4,X9,X16)
& colinear(X1,X6,X9,X17) )
=> ( ? [X18] : colinear(X7,X8,X9,X18)
| line_equal(X12,X13)
| line_equal(X14,X15)
| line_equal(X16,X17) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pappus1) ).
fof(goalfl,axiom,
( incident(f,l)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goalfl) ).
fof(goalbm,axiom,
( incident(b,m)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goalbm) ).
fof(transitivity_of_point_equal,axiom,
! [X1,X2,X3] :
( ( point_equal(X1,X2)
& point_equal(X2,X3) )
=> point_equal(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(reflexivity_of_point_equal,axiom,
! [X1,X2] :
( incident(X1,X2)
=> point_equal(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(line,axiom,
! [X1,X2] :
( ( point_equal(X1,X1)
& point_equal(X2,X2) )
=> ? [X3] :
( incident(X1,X3)
& incident(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',line) ).
fof(goalel,axiom,
( incident(e,l)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goalel) ).
fof(goalcm,axiom,
( incident(c,m)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goalcm) ).
fof(symmetry_of_line_equal,axiom,
! [X1,X2] :
( line_equal(X1,X2)
=> line_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(goalam,axiom,
( incident(a,m)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goalam) ).
fof(transitivity_of_line_equal,axiom,
! [X1,X2,X3] :
( ( line_equal(X1,X2)
& line_equal(X2,X3) )
=> line_equal(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(c_0_25,plain,
! [X86,X87,X88,X89] :
( ~ colinear(X86,X87,X88,X89)
| incident(X87,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[colinearity_elimination2])]) ).
fof(c_0_26,plain,
! [X132,X133,X134,X135] :
( ~ incident(X134,X132)
| ~ incident(X134,X133)
| ~ incident(X135,X132)
| ~ incident(X135,X133)
| point_equal(X134,X135)
| line_equal(X132,X133) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).
cnf(c_0_27,plain,
( incident(X2,X4)
| ~ colinear(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,plain,
colinear(a,b,c,l),
inference(split_conjunct,[status(thm)],[assumption1]) ).
fof(c_0_29,plain,
! [X82,X83,X84,X85] :
( ~ colinear(X82,X83,X84,X85)
| incident(X82,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[colinearity_elimination1])]) ).
fof(c_0_30,plain,
! [X90,X91,X92,X93] :
( ~ colinear(X90,X91,X92,X93)
| incident(X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[colinearity_elimination3])]) ).
cnf(c_0_31,plain,
( point_equal(X1,X4)
| line_equal(X2,X3)
| ~ incident(X1,X2)
| ~ incident(X1,X3)
| ~ incident(X4,X2)
| ~ incident(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
incident(b,l),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( incident(X1,X4)
| ~ colinear(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
colinear(c,d,i,r),
inference(split_conjunct,[status(thm)],[assumption4]) ).
cnf(c_0_35,plain,
( incident(X3,X4)
| ~ colinear(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X111,X112,X113] :
( ~ incident(X111,X112)
| ~ line_equal(X112,X113)
| incident(X111,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lcon])]) ).
cnf(c_0_37,plain,
( line_equal(X1,l)
| point_equal(X2,b)
| ~ incident(b,X1)
| ~ incident(X2,l)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
incident(c,r),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
incident(c,l),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
fof(c_0_40,plain,
( ~ incident(d,l)
| goal ),
inference(fof_nnf,[status(thm)],[goaldl]) ).
fof(c_0_41,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).
cnf(c_0_42,plain,
( incident(X1,X3)
| ~ incident(X1,X2)
| ~ line_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( line_equal(r,l)
| point_equal(c,b)
| ~ incident(b,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_44,plain,
( goal
| ~ incident(d,l) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X96,X97] :
( ~ point_equal(X96,X97)
| point_equal(X97,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_point_equal])]) ).
cnf(c_0_47,plain,
( point_equal(c,b)
| incident(X1,l)
| ~ incident(b,r)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
incident(d,r),
inference(spm,[status(thm)],[c_0_27,c_0_34]) ).
cnf(c_0_49,plain,
~ incident(d,l),
inference(sr,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
colinear(a,f,i,s),
inference(split_conjunct,[status(thm)],[assumption4]) ).
cnf(c_0_51,plain,
colinear(b,d,h,p),
inference(split_conjunct,[status(thm)],[assumption3]) ).
fof(c_0_52,plain,
! [X108,X109,X110] :
( ~ point_equal(X108,X109)
| ~ incident(X109,X110)
| incident(X108,X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pcon])]) ).
cnf(c_0_53,plain,
( point_equal(X2,X1)
| ~ point_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
( point_equal(c,b)
| ~ incident(b,r) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_55,plain,
incident(f,s),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_56,plain,
colinear(b,f,g,n),
inference(split_conjunct,[status(thm)],[assumption2]) ).
cnf(c_0_57,plain,
( line_equal(X1,l)
| point_equal(X2,c)
| ~ incident(c,X1)
| ~ incident(X2,l)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_58,plain,
incident(b,p),
inference(spm,[status(thm)],[c_0_33,c_0_51]) ).
cnf(c_0_59,plain,
incident(d,p),
inference(spm,[status(thm)],[c_0_27,c_0_51]) ).
cnf(c_0_60,plain,
( incident(X1,X3)
| ~ point_equal(X1,X2)
| ~ incident(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,plain,
( point_equal(b,c)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
colinear(c,e,g,o),
inference(split_conjunct,[status(thm)],[assumption2]) ).
cnf(c_0_63,plain,
( line_equal(X1,s)
| point_equal(X2,f)
| ~ incident(f,X1)
| ~ incident(X2,s)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_55]) ).
cnf(c_0_64,plain,
incident(b,n),
inference(spm,[status(thm)],[c_0_33,c_0_56]) ).
cnf(c_0_65,plain,
incident(f,n),
inference(spm,[status(thm)],[c_0_27,c_0_56]) ).
cnf(c_0_66,plain,
( line_equal(p,l)
| point_equal(b,c)
| ~ incident(c,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_32])]) ).
cnf(c_0_67,plain,
( line_equal(X1,p)
| point_equal(X2,d)
| ~ incident(d,X1)
| ~ incident(X2,p)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_59]) ).
fof(c_0_68,plain,
! [X81] :
( ~ incident(g,X81)
| ~ incident(h,X81)
| ~ incident(i,X81)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal4])]) ).
fof(c_0_69,plain,
! [X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130] :
( ~ colinear(X114,X115,X116,X123)
| ~ colinear(X117,X118,X119,X124)
| ~ colinear(X115,X119,X120,X125)
| ~ colinear(X116,X118,X120,X126)
| ~ colinear(X115,X117,X121,X127)
| ~ colinear(X114,X118,X121,X128)
| ~ colinear(X116,X117,X122,X129)
| ~ colinear(X114,X119,X122,X130)
| colinear(X120,X121,X122,esk1_17(X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130))
| line_equal(X125,X126)
| line_equal(X127,X128)
| line_equal(X129,X130) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pappus1])])]) ).
fof(c_0_70,plain,
( ~ incident(f,l)
| goal ),
inference(fof_nnf,[status(thm)],[goalfl]) ).
cnf(c_0_71,plain,
incident(g,n),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
cnf(c_0_72,plain,
( incident(b,X1)
| ~ incident(b,r)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_73,plain,
incident(c,o),
inference(spm,[status(thm)],[c_0_33,c_0_62]) ).
cnf(c_0_74,plain,
( line_equal(n,s)
| point_equal(b,f)
| ~ incident(b,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_75,plain,
( point_equal(b,c)
| incident(X1,l)
| ~ incident(c,p)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_66]) ).
cnf(c_0_76,plain,
( line_equal(r,p)
| point_equal(c,d)
| ~ incident(c,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_38]),c_0_48])]) ).
cnf(c_0_77,plain,
( goal
| ~ incident(g,X1)
| ~ incident(h,X1)
| ~ incident(i,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,plain,
( colinear(X9,X12,X15,esk1_17(X1,X2,X3,X5,X6,X7,X9,X12,X15,X4,X8,X10,X11,X13,X14,X16,X17))
| line_equal(X10,X11)
| line_equal(X13,X14)
| line_equal(X16,X17)
| ~ colinear(X1,X2,X3,X4)
| ~ colinear(X5,X6,X7,X8)
| ~ colinear(X2,X7,X9,X10)
| ~ colinear(X3,X6,X9,X11)
| ~ colinear(X2,X5,X12,X13)
| ~ colinear(X1,X6,X12,X14)
| ~ colinear(X3,X5,X15,X16)
| ~ colinear(X1,X7,X15,X17) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
colinear(d,e,f,m),
inference(split_conjunct,[status(thm)],[assumption1]) ).
cnf(c_0_80,plain,
( line_equal(n,l)
| point_equal(b,c)
| ~ incident(c,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_64]),c_0_32])]) ).
cnf(c_0_81,plain,
( goal
| ~ incident(f,l) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_82,plain,
( line_equal(X1,n)
| point_equal(X2,g)
| ~ incident(g,X1)
| ~ incident(X2,n)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_71]) ).
cnf(c_0_83,plain,
incident(g,o),
inference(spm,[status(thm)],[c_0_35,c_0_62]) ).
cnf(c_0_84,plain,
( incident(b,o)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_85,plain,
( point_equal(b,f)
| incident(X1,s)
| ~ incident(b,s)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_74]) ).
fof(c_0_86,plain,
( ~ incident(b,m)
| goal ),
inference(fof_nnf,[status(thm)],[goalbm]) ).
fof(c_0_87,plain,
! [X98,X99,X100] :
( ~ point_equal(X98,X99)
| ~ point_equal(X99,X100)
| point_equal(X98,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_point_equal])]) ).
cnf(c_0_88,plain,
( point_equal(b,c)
| ~ incident(c,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_59]),c_0_49]) ).
cnf(c_0_89,plain,
( point_equal(c,d)
| incident(X1,p)
| ~ incident(c,p)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_76]) ).
cnf(c_0_90,plain,
incident(i,r),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_91,plain,
( ~ incident(g,X1)
| ~ incident(h,X1)
| ~ incident(i,X1) ),
inference(sr,[status(thm)],[c_0_77,c_0_45]) ).
cnf(c_0_92,plain,
( line_equal(X1,X2)
| line_equal(X3,X4)
| line_equal(X5,X6)
| incident(X7,esk1_17(X8,X9,X10,X11,X12,X13,X7,X14,X15,X16,X17,X1,X2,X3,X4,X5,X6))
| ~ colinear(X11,X12,X13,X17)
| ~ colinear(X10,X12,X7,X2)
| ~ colinear(X10,X11,X15,X5)
| ~ colinear(X9,X13,X7,X1)
| ~ colinear(X9,X11,X14,X3)
| ~ colinear(X8,X13,X15,X6)
| ~ colinear(X8,X12,X14,X4)
| ~ colinear(X8,X9,X10,X16) ),
inference(spm,[status(thm)],[c_0_33,c_0_78]) ).
cnf(c_0_93,plain,
( line_equal(n,p)
| point_equal(b,d)
| ~ incident(d,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_64]),c_0_58])]) ).
cnf(c_0_94,plain,
( line_equal(X1,n)
| point_equal(X2,f)
| ~ incident(f,X1)
| ~ incident(X2,n)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_65]) ).
cnf(c_0_95,plain,
incident(e,m),
inference(spm,[status(thm)],[c_0_27,c_0_79]) ).
cnf(c_0_96,plain,
incident(f,m),
inference(spm,[status(thm)],[c_0_35,c_0_79]) ).
cnf(c_0_97,plain,
( line_equal(X1,p)
| point_equal(X2,b)
| ~ incident(b,X1)
| ~ incident(X2,p)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_58]) ).
cnf(c_0_98,plain,
( point_equal(b,c)
| incident(X1,l)
| ~ incident(c,n)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_80]) ).
cnf(c_0_99,plain,
~ incident(f,l),
inference(sr,[status(thm)],[c_0_81,c_0_45]) ).
cnf(c_0_100,plain,
( line_equal(o,n)
| point_equal(c,g)
| ~ incident(c,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_73]),c_0_83])]) ).
cnf(c_0_101,plain,
( line_equal(o,n)
| point_equal(b,g)
| ~ incident(b,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_84]),c_0_83]),c_0_64])]) ).
cnf(c_0_102,plain,
incident(i,s),
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
cnf(c_0_103,plain,
( point_equal(b,f)
| incident(g,s)
| ~ incident(b,s) ),
inference(spm,[status(thm)],[c_0_85,c_0_71]) ).
cnf(c_0_104,plain,
( goal
| ~ incident(b,m) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_105,plain,
( point_equal(X1,X3)
| ~ point_equal(X1,X2)
| ~ point_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_106,plain,
( point_equal(c,b)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_88]) ).
cnf(c_0_107,plain,
( point_equal(c,d)
| incident(i,p)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_108,plain,
( line_equal(X1,X2)
| line_equal(X3,X4)
| line_equal(X5,X6)
| ~ incident(h,esk1_17(X7,X8,X9,X10,X11,X12,g,X13,X14,X15,X16,X5,X6,X3,X4,X1,X2))
| ~ incident(i,esk1_17(X7,X8,X9,X10,X11,X12,g,X13,X14,X15,X16,X5,X6,X3,X4,X1,X2))
| ~ colinear(X9,X11,g,X6)
| ~ colinear(X8,X12,g,X5)
| ~ colinear(X10,X11,X12,X16)
| ~ colinear(X9,X10,X14,X1)
| ~ colinear(X8,X10,X13,X3)
| ~ colinear(X7,X12,X14,X2)
| ~ colinear(X7,X11,X13,X4)
| ~ colinear(X7,X8,X9,X15) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_109,plain,
( line_equal(X1,X2)
| line_equal(X3,X4)
| line_equal(X5,X6)
| incident(X7,esk1_17(X8,X9,X10,X11,X12,X13,X14,X15,X7,X16,X17,X1,X2,X3,X4,X5,X6))
| ~ colinear(X11,X12,X13,X17)
| ~ colinear(X10,X12,X14,X2)
| ~ colinear(X10,X11,X7,X5)
| ~ colinear(X9,X13,X14,X1)
| ~ colinear(X9,X11,X15,X3)
| ~ colinear(X8,X13,X7,X6)
| ~ colinear(X8,X12,X15,X4)
| ~ colinear(X8,X9,X10,X16) ),
inference(spm,[status(thm)],[c_0_35,c_0_78]) ).
cnf(c_0_110,plain,
( point_equal(b,d)
| incident(X1,p)
| ~ incident(d,n)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_93]) ).
cnf(c_0_111,plain,
( line_equal(m,n)
| point_equal(e,f)
| ~ incident(e,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_112,plain,
( line_equal(r,p)
| point_equal(d,b)
| ~ incident(b,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_48]),c_0_59])]) ).
cnf(c_0_113,plain,
( point_equal(b,c)
| ~ incident(c,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_65]),c_0_99]) ).
cnf(c_0_114,plain,
( point_equal(c,g)
| incident(X1,n)
| ~ incident(c,n)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_100]) ).
cnf(c_0_115,plain,
incident(e,o),
inference(spm,[status(thm)],[c_0_27,c_0_62]) ).
cnf(c_0_116,plain,
( point_equal(b,g)
| incident(X1,n)
| ~ incident(b,r)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_101]) ).
cnf(c_0_117,plain,
( line_equal(X1,s)
| point_equal(X2,i)
| ~ incident(i,X1)
| ~ incident(X2,s)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_102]) ).
cnf(c_0_118,plain,
incident(h,p),
inference(spm,[status(thm)],[c_0_35,c_0_51]) ).
cnf(c_0_119,plain,
( incident(g,s)
| incident(b,X1)
| ~ incident(b,s)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_103]) ).
cnf(c_0_120,plain,
~ incident(b,m),
inference(sr,[status(thm)],[c_0_104,c_0_45]) ).
cnf(c_0_121,plain,
( point_equal(X1,b)
| ~ point_equal(X1,c)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_122,plain,
( point_equal(d,c)
| incident(i,p)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_107]) ).
fof(c_0_123,plain,
! [X94,X95] :
( ~ incident(X94,X95)
| point_equal(X94,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_point_equal])]) ).
cnf(c_0_124,plain,
( line_equal(X1,X2)
| line_equal(X3,X4)
| line_equal(X5,X6)
| ~ incident(h,esk1_17(X7,X8,X9,X10,X11,X12,g,X13,i,X14,X15,X1,X2,X3,X4,X5,X6))
| ~ colinear(X9,X11,g,X2)
| ~ colinear(X8,X12,g,X1)
| ~ colinear(X9,X10,i,X5)
| ~ colinear(X7,X12,i,X6)
| ~ colinear(X10,X11,X12,X15)
| ~ colinear(X8,X10,X13,X3)
| ~ colinear(X7,X11,X13,X4)
| ~ colinear(X7,X8,X9,X14) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_125,plain,
( line_equal(X1,X2)
| line_equal(X3,X4)
| line_equal(X5,X6)
| incident(X7,esk1_17(X8,X9,X10,X11,X12,X13,X14,X7,X15,X16,X17,X1,X2,X3,X4,X5,X6))
| ~ colinear(X11,X12,X13,X17)
| ~ colinear(X10,X12,X14,X2)
| ~ colinear(X10,X11,X15,X5)
| ~ colinear(X9,X13,X14,X1)
| ~ colinear(X9,X11,X7,X3)
| ~ colinear(X8,X13,X15,X6)
| ~ colinear(X8,X12,X7,X4)
| ~ colinear(X8,X9,X10,X16) ),
inference(spm,[status(thm)],[c_0_27,c_0_78]) ).
cnf(c_0_126,plain,
colinear(a,e,h,q),
inference(split_conjunct,[status(thm)],[assumption3]) ).
cnf(c_0_127,plain,
( point_equal(b,d)
| incident(g,p)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_110,c_0_71]) ).
cnf(c_0_128,plain,
( point_equal(e,f)
| incident(X1,n)
| ~ incident(e,n)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_111]) ).
cnf(c_0_129,plain,
incident(d,m),
inference(spm,[status(thm)],[c_0_33,c_0_79]) ).
cnf(c_0_130,plain,
( point_equal(X1,c)
| ~ point_equal(X1,b)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_105,c_0_61]) ).
cnf(c_0_131,plain,
( point_equal(d,b)
| incident(X1,p)
| ~ incident(b,r)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_112]) ).
cnf(c_0_132,plain,
( point_equal(c,b)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_53,c_0_113]) ).
cnf(c_0_133,plain,
( point_equal(c,g)
| incident(e,n)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_134,plain,
( point_equal(b,g)
| incident(c,n)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_116,c_0_73]) ).
cnf(c_0_135,plain,
( line_equal(p,s)
| point_equal(h,i)
| ~ incident(i,p)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_136,plain,
( incident(g,s)
| ~ incident(b,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_96]),c_0_120]) ).
cnf(c_0_137,plain,
( point_equal(d,b)
| incident(i,p)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
fof(c_0_138,plain,
! [X136,X137] :
( ( incident(X136,esk2_2(X136,X137))
| ~ point_equal(X136,X136)
| ~ point_equal(X137,X137) )
& ( incident(X137,esk2_2(X136,X137))
| ~ point_equal(X136,X136)
| ~ point_equal(X137,X137) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[line])])])]) ).
cnf(c_0_139,plain,
( point_equal(X1,X1)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_140,plain,
( line_equal(X1,X2)
| line_equal(X3,X4)
| line_equal(X5,X6)
| ~ colinear(X7,X8,g,X6)
| ~ colinear(X9,X10,g,X5)
| ~ colinear(X7,X11,i,X1)
| ~ colinear(X12,X10,i,X2)
| ~ colinear(X9,X11,h,X3)
| ~ colinear(X12,X8,h,X4)
| ~ colinear(X11,X8,X10,X13)
| ~ colinear(X12,X9,X7,X14) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_141,plain,
incident(a,q),
inference(spm,[status(thm)],[c_0_33,c_0_126]) ).
cnf(c_0_142,plain,
incident(a,l),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
fof(c_0_143,plain,
( ~ incident(e,l)
| goal ),
inference(fof_nnf,[status(thm)],[goalel]) ).
cnf(c_0_144,plain,
( incident(g,p)
| incident(b,X1)
| ~ incident(d,n)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_127]) ).
cnf(c_0_145,plain,
( point_equal(e,f)
| incident(d,n)
| ~ incident(e,n) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_146,plain,
( point_equal(c,X1)
| ~ point_equal(X1,b)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_130]) ).
cnf(c_0_147,plain,
( point_equal(d,b)
| incident(i,p)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_131,c_0_90]) ).
fof(c_0_148,plain,
( ~ incident(c,m)
| goal ),
inference(fof_nnf,[status(thm)],[goalcm]) ).
cnf(c_0_149,plain,
( point_equal(X1,b)
| ~ point_equal(X1,c)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_105,c_0_132]) ).
cnf(c_0_150,plain,
( point_equal(g,c)
| incident(e,n)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_53,c_0_133]) ).
cnf(c_0_151,plain,
( point_equal(g,b)
| incident(c,n)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_134]) ).
cnf(c_0_152,plain,
( line_equal(r,p)
| point_equal(i,d)
| ~ incident(i,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_90]),c_0_48])]) ).
cnf(c_0_153,plain,
( point_equal(h,i)
| incident(X1,s)
| ~ incident(i,p)
| ~ incident(h,s)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_135]) ).
cnf(c_0_154,plain,
( ~ incident(h,s)
| ~ incident(b,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_136]),c_0_102])]) ).
cnf(c_0_155,plain,
( point_equal(b,d)
| incident(i,p)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_137]) ).
cnf(c_0_156,plain,
( incident(X1,esk2_2(X1,X2))
| ~ point_equal(X1,X1)
| ~ point_equal(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_157,plain,
point_equal(i,i),
inference(spm,[status(thm)],[c_0_139,c_0_102]) ).
cnf(c_0_158,plain,
incident(e,q),
inference(spm,[status(thm)],[c_0_27,c_0_126]) ).
cnf(c_0_159,plain,
( line_equal(X1,o)
| line_equal(X2,X3)
| line_equal(X4,X5)
| ~ colinear(c,X6,i,X4)
| ~ colinear(X7,e,h,X3)
| ~ colinear(X8,X9,g,X1)
| ~ colinear(X7,X9,i,X5)
| ~ colinear(X8,X6,h,X2)
| ~ colinear(X6,e,X9,X10)
| ~ colinear(X7,X8,c,X11) ),
inference(spm,[status(thm)],[c_0_140,c_0_62]) ).
cnf(c_0_160,plain,
( line_equal(q,l)
| point_equal(a,c)
| ~ incident(c,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_141]),c_0_142])]) ).
cnf(c_0_161,plain,
( goal
| ~ incident(e,l) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_162,plain,
( incident(g,p)
| ~ incident(d,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_129]),c_0_120]) ).
cnf(c_0_163,plain,
( incident(d,n)
| incident(e,X1)
| ~ incident(e,n)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_145]) ).
cnf(c_0_164,plain,
( point_equal(c,d)
| incident(i,p)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_165,plain,
( goal
| ~ incident(c,m) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_166,plain,
( point_equal(g,b)
| incident(e,n)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_167,plain,
( point_equal(c,g)
| incident(c,n)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_146,c_0_151]) ).
cnf(c_0_168,plain,
( point_equal(i,d)
| incident(X1,p)
| ~ incident(i,p)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_152]) ).
cnf(c_0_169,plain,
( point_equal(h,i)
| ~ incident(i,p)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_58]),c_0_154]) ).
cnf(c_0_170,plain,
( incident(i,p)
| incident(b,X1)
| ~ incident(c,p)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_155]) ).
cnf(c_0_171,plain,
( incident(X1,esk2_2(X1,i))
| ~ point_equal(X1,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_172,plain,
point_equal(g,g),
inference(spm,[status(thm)],[c_0_139,c_0_71]) ).
cnf(c_0_173,plain,
( incident(X1,esk2_2(X2,X1))
| ~ point_equal(X2,X2)
| ~ point_equal(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_174,plain,
( line_equal(X1,q)
| point_equal(X2,e)
| ~ incident(e,X1)
| ~ incident(X2,q)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_158]) ).
cnf(c_0_175,plain,
incident(a,s),
inference(spm,[status(thm)],[c_0_33,c_0_50]) ).
cnf(c_0_176,plain,
( line_equal(r,X1)
| line_equal(X2,o)
| line_equal(X3,X4)
| ~ colinear(X5,e,h,X4)
| ~ colinear(X6,d,h,X3)
| ~ colinear(d,e,X7,X8)
| ~ colinear(X6,X7,g,X2)
| ~ colinear(X5,X7,i,X1)
| ~ colinear(X5,X6,c,X9) ),
inference(spm,[status(thm)],[c_0_159,c_0_34]) ).
cnf(c_0_177,plain,
( point_equal(a,c)
| incident(X1,l)
| ~ incident(c,q)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_160]) ).
cnf(c_0_178,plain,
~ incident(e,l),
inference(sr,[status(thm)],[c_0_161,c_0_45]) ).
cnf(c_0_179,plain,
( ~ incident(i,p)
| ~ incident(d,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_162]),c_0_118])]) ).
cnf(c_0_180,plain,
( incident(e,s)
| incident(d,n)
| ~ incident(e,n) ),
inference(spm,[status(thm)],[c_0_163,c_0_55]) ).
cnf(c_0_181,plain,
( incident(i,p)
| incident(c,X1)
| ~ incident(b,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_164]) ).
cnf(c_0_182,plain,
~ incident(c,m),
inference(sr,[status(thm)],[c_0_165,c_0_45]) ).
cnf(c_0_183,plain,
( incident(e,n)
| incident(g,X1)
| ~ incident(c,n)
| ~ incident(b,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_166]) ).
cnf(c_0_184,plain,
( incident(c,n)
| incident(c,X1)
| ~ incident(b,r)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_167]) ).
cnf(c_0_185,plain,
( point_equal(i,d)
| incident(c,p)
| ~ incident(i,p) ),
inference(spm,[status(thm)],[c_0_168,c_0_38]) ).
cnf(c_0_186,plain,
( incident(h,X1)
| ~ incident(i,p)
| ~ incident(h,s)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_169]) ).
cnf(c_0_187,plain,
( incident(i,p)
| ~ incident(c,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_129]),c_0_120]) ).
cnf(c_0_188,plain,
( ~ incident(h,esk2_2(g,i))
| ~ incident(i,esk2_2(g,i)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_171]),c_0_172])]) ).
cnf(c_0_189,plain,
( incident(X1,esk2_2(g,X1))
| ~ point_equal(X1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_172]) ).
fof(c_0_190,plain,
! [X103,X104] :
( ~ line_equal(X103,X104)
| line_equal(X104,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_line_equal])]) ).
cnf(c_0_191,plain,
( line_equal(s,q)
| point_equal(a,e)
| ~ incident(e,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_141])]) ).
cnf(c_0_192,plain,
( line_equal(X1,q)
| line_equal(X2,o)
| line_equal(r,X3)
| ~ colinear(X4,d,h,X1)
| ~ colinear(d,e,X5,X6)
| ~ colinear(a,X5,i,X3)
| ~ colinear(a,X4,c,X7)
| ~ colinear(X4,X5,g,X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_126]) ).
cnf(c_0_193,plain,
( point_equal(a,c)
| ~ incident(c,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_158]),c_0_178]) ).
cnf(c_0_194,plain,
( line_equal(o,q)
| point_equal(c,e)
| ~ incident(c,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_73]),c_0_115])]) ).
cnf(c_0_195,plain,
( incident(e,s)
| ~ incident(i,p)
| ~ incident(e,n) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_196,plain,
( incident(i,p)
| ~ incident(b,r) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_129]),c_0_182]) ).
cnf(c_0_197,plain,
( incident(e,n)
| ~ incident(c,n)
| ~ incident(h,X1)
| ~ incident(i,X1)
| ~ incident(b,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_183]) ).
cnf(c_0_198,plain,
( incident(c,n)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_184,c_0_71]) ).
cnf(c_0_199,plain,
( point_equal(X1,d)
| incident(c,p)
| ~ point_equal(X1,i)
| ~ incident(i,p) ),
inference(spm,[status(thm)],[c_0_105,c_0_185]) ).
cnf(c_0_200,plain,
( incident(h,X1)
| ~ incident(h,s)
| ~ incident(c,p)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_201,plain,
~ incident(h,esk2_2(g,i)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_157])]) ).
cnf(c_0_202,plain,
( line_equal(X2,X1)
| ~ line_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_203,plain,
( line_equal(p,n)
| point_equal(b,f)
| ~ incident(f,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_58]),c_0_64])]) ).
cnf(c_0_204,plain,
( point_equal(a,e)
| incident(X1,q)
| ~ incident(e,s)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_191]) ).
fof(c_0_205,plain,
( ~ incident(a,m)
| goal ),
inference(fof_nnf,[status(thm)],[goalam]) ).
cnf(c_0_206,plain,
( line_equal(p,q)
| line_equal(r,X1)
| line_equal(X2,o)
| ~ colinear(a,b,c,X3)
| ~ colinear(d,e,X4,X5)
| ~ colinear(a,X4,i,X1)
| ~ colinear(b,X4,g,X2) ),
inference(spm,[status(thm)],[c_0_192,c_0_51]) ).
cnf(c_0_207,plain,
( point_equal(c,a)
| ~ incident(c,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_193]) ).
cnf(c_0_208,plain,
( point_equal(c,e)
| incident(X1,q)
| ~ incident(c,q)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_194]) ).
cnf(c_0_209,plain,
( incident(e,s)
| ~ incident(e,n)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_210,plain,
( incident(e,n)
| ~ incident(b,r) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_196]),c_0_118]),c_0_58])]),c_0_198]) ).
cnf(c_0_211,plain,
( line_equal(X1,r)
| point_equal(X2,d)
| ~ incident(d,X1)
| ~ incident(X2,r)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_212,plain,
( point_equal(d,X1)
| incident(c,p)
| ~ point_equal(X1,i)
| ~ incident(i,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_199]) ).
cnf(c_0_213,plain,
( ~ incident(h,s)
| ~ incident(c,p) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_189]),c_0_157])]),c_0_201]) ).
cnf(c_0_214,plain,
( line_equal(n,p)
| point_equal(b,f)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
fof(c_0_215,plain,
! [X105,X106,X107] :
( ~ line_equal(X105,X106)
| ~ line_equal(X106,X107)
| line_equal(X105,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_line_equal])]) ).
cnf(c_0_216,plain,
( line_equal(m,s)
| point_equal(f,i)
| ~ incident(i,m) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_96]),c_0_55])]) ).
cnf(c_0_217,plain,
( point_equal(a,e)
| incident(f,q)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_204,c_0_55]) ).
cnf(c_0_218,plain,
( goal
| ~ incident(a,m) ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_219,plain,
( point_equal(a,e)
| incident(i,q)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_204,c_0_102]) ).
cnf(c_0_220,plain,
( line_equal(p,q)
| line_equal(X1,o)
| line_equal(r,X2)
| ~ colinear(d,e,X3,X4)
| ~ colinear(a,X3,i,X2)
| ~ colinear(b,X3,g,X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_28]) ).
cnf(c_0_221,plain,
( point_equal(X1,a)
| ~ point_equal(X1,c)
| ~ incident(c,q) ),
inference(spm,[status(thm)],[c_0_105,c_0_207]) ).
cnf(c_0_222,plain,
( point_equal(c,e)
| incident(g,q)
| ~ incident(c,q) ),
inference(spm,[status(thm)],[c_0_208,c_0_83]) ).
cnf(c_0_223,plain,
( line_equal(X1,q)
| point_equal(X2,a)
| ~ incident(a,X1)
| ~ incident(X2,q)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_141]) ).
cnf(c_0_224,plain,
( incident(e,s)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_225,plain,
( line_equal(o,r)
| point_equal(c,d)
| ~ incident(d,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_73]),c_0_38])]) ).
cnf(c_0_226,plain,
( line_equal(X1,r)
| point_equal(X2,c)
| ~ incident(c,X1)
| ~ incident(X2,r)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_227,plain,
point_equal(d,d),
inference(spm,[status(thm)],[c_0_139,c_0_59]) ).
cnf(c_0_228,plain,
( point_equal(d,h)
| ~ incident(i,p)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_169]),c_0_213]) ).
cnf(c_0_229,plain,
( point_equal(b,f)
| incident(X1,p)
| ~ incident(f,p)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_214]) ).
cnf(c_0_230,plain,
( line_equal(X1,X3)
| ~ line_equal(X1,X2)
| ~ line_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_231,plain,
( line_equal(s,m)
| point_equal(f,i)
| ~ incident(i,m) ),
inference(spm,[status(thm)],[c_0_202,c_0_216]) ).
cnf(c_0_232,plain,
( incident(f,q)
| incident(a,X1)
| ~ incident(e,s)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_217]) ).
cnf(c_0_233,plain,
~ incident(a,m),
inference(sr,[status(thm)],[c_0_218,c_0_45]) ).
cnf(c_0_234,plain,
( incident(i,q)
| incident(a,X1)
| ~ incident(e,s)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_219]) ).
cnf(c_0_235,plain,
( line_equal(p,q)
| line_equal(r,X1)
| line_equal(X2,o)
| ~ colinear(a,f,i,X1)
| ~ colinear(b,f,g,X2) ),
inference(spm,[status(thm)],[c_0_220,c_0_79]) ).
cnf(c_0_236,plain,
( point_equal(a,X1)
| ~ point_equal(X1,c)
| ~ incident(c,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_221]) ).
cnf(c_0_237,plain,
( point_equal(e,c)
| incident(g,q)
| ~ incident(c,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_222]) ).
cnf(c_0_238,plain,
( line_equal(s,q)
| point_equal(e,a)
| ~ incident(b,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_175]),c_0_158])]) ).
cnf(c_0_239,plain,
( line_equal(X1,p)
| point_equal(X2,h)
| ~ incident(h,X1)
| ~ incident(X2,p)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_118]) ).
cnf(c_0_240,plain,
( point_equal(c,d)
| incident(X1,r)
| ~ incident(d,o)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_225]) ).
cnf(c_0_241,plain,
( line_equal(o,r)
| point_equal(e,c)
| ~ incident(e,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_115]),c_0_73])]) ).
cnf(c_0_242,plain,
( incident(X1,esk2_2(X1,d))
| ~ point_equal(X1,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_227]) ).
cnf(c_0_243,plain,
( incident(c,p)
| incident(i,X1)
| ~ incident(i,p)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_185]) ).
cnf(c_0_244,plain,
( point_equal(h,d)
| ~ incident(i,p)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_228]) ).
cnf(c_0_245,plain,
( point_equal(b,f)
| incident(g,p)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_229,c_0_71]) ).
cnf(c_0_246,plain,
( line_equal(X1,m)
| point_equal(f,i)
| ~ line_equal(X1,s)
| ~ incident(i,m) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_247,plain,
( incident(f,q)
| ~ incident(e,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_95]),c_0_233]) ).
cnf(c_0_248,plain,
( incident(i,q)
| ~ incident(e,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_95]),c_0_233]) ).
cnf(c_0_249,plain,
( point_equal(f,i)
| incident(X1,s)
| ~ incident(i,m)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_216]) ).
cnf(c_0_250,plain,
( line_equal(r,s)
| point_equal(i,f)
| ~ incident(f,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_90]),c_0_102])]) ).
cnf(c_0_251,plain,
( line_equal(r,s)
| line_equal(p,q)
| line_equal(X1,o)
| ~ colinear(b,f,g,X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_50]) ).
cnf(c_0_252,plain,
incident(h,q),
inference(spm,[status(thm)],[c_0_35,c_0_126]) ).
cnf(c_0_253,plain,
( point_equal(a,e)
| incident(g,q)
| ~ incident(c,q) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_254,plain,
( line_equal(o,q)
| point_equal(e,a)
| ~ incident(a,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_115]),c_0_158])]) ).
cnf(c_0_255,plain,
( point_equal(e,a)
| incident(X1,q)
| ~ incident(b,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_238]) ).
cnf(c_0_256,plain,
( line_equal(r,p)
| point_equal(d,h)
| ~ incident(h,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_48]),c_0_59])]) ).
cnf(c_0_257,plain,
( point_equal(c,d)
| incident(g,r)
| ~ incident(d,o) ),
inference(spm,[status(thm)],[c_0_240,c_0_83]) ).
cnf(c_0_258,plain,
( point_equal(e,c)
| incident(X1,r)
| ~ incident(e,r)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_241]) ).
cnf(c_0_259,plain,
( line_equal(p,s)
| point_equal(d,i)
| ~ incident(i,p)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_117,c_0_59]) ).
cnf(c_0_260,plain,
( ~ incident(h,esk2_2(g,d))
| ~ incident(i,esk2_2(g,d)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_242]),c_0_172])]) ).
cnf(c_0_261,plain,
( incident(i,esk2_2(g,d))
| incident(c,p)
| ~ incident(i,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_189]),c_0_227])]) ).
cnf(c_0_262,plain,
( incident(h,X1)
| ~ incident(i,p)
| ~ incident(h,s)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_244]) ).
cnf(c_0_263,plain,
( incident(g,p)
| incident(b,X1)
| ~ incident(f,p)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_245]) ).
cnf(c_0_264,plain,
( line_equal(m,X1)
| point_equal(f,i)
| ~ line_equal(X1,s)
| ~ incident(i,m) ),
inference(spm,[status(thm)],[c_0_202,c_0_246]) ).
cnf(c_0_265,plain,
( line_equal(q,s)
| point_equal(f,i)
| ~ incident(e,s) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_247]),c_0_55])]),c_0_248]) ).
cnf(c_0_266,plain,
( point_equal(f,i)
| incident(e,s)
| ~ incident(i,m) ),
inference(spm,[status(thm)],[c_0_249,c_0_95]) ).
cnf(c_0_267,plain,
( point_equal(i,f)
| incident(X1,s)
| ~ incident(f,r)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_250]) ).
cnf(c_0_268,plain,
( line_equal(n,o)
| line_equal(p,q)
| line_equal(r,s) ),
inference(spm,[status(thm)],[c_0_251,c_0_56]) ).
cnf(c_0_269,plain,
( line_equal(X1,q)
| point_equal(X2,h)
| ~ incident(h,X1)
| ~ incident(X2,q)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_252]) ).
cnf(c_0_270,plain,
( incident(g,q)
| incident(a,X1)
| ~ incident(c,q)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_253]) ).
cnf(c_0_271,plain,
( line_equal(q,s)
| point_equal(a,f)
| ~ incident(f,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_141]),c_0_175])]) ).
cnf(c_0_272,plain,
( point_equal(e,a)
| incident(X1,q)
| ~ incident(a,o)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_254]) ).
cnf(c_0_273,plain,
( point_equal(e,a)
| incident(i,q)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_255,c_0_102]) ).
cnf(c_0_274,plain,
( incident(e,n)
| incident(g,X1)
| ~ incident(c,n)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_150]) ).
cnf(c_0_275,plain,
( point_equal(d,h)
| incident(X1,p)
| ~ incident(h,r)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_256]) ).
cnf(c_0_276,plain,
( line_equal(m,p)
| point_equal(e,d)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_95]),c_0_129])]) ).
cnf(c_0_277,plain,
( incident(g,r)
| incident(c,X1)
| ~ incident(d,o)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_257]) ).
cnf(c_0_278,plain,
( point_equal(e,c)
| incident(g,r)
| ~ incident(e,r) ),
inference(spm,[status(thm)],[c_0_258,c_0_83]) ).
cnf(c_0_279,plain,
( line_equal(q,p)
| point_equal(e,h)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_158]),c_0_252])]) ).
cnf(c_0_280,plain,
( point_equal(d,i)
| incident(X1,s)
| ~ incident(i,p)
| ~ incident(d,s)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_259]) ).
cnf(c_0_281,plain,
( incident(c,p)
| ~ incident(h,esk2_2(g,d))
| ~ incident(i,p) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_282,plain,
( incident(h,esk2_2(g,d))
| ~ incident(i,p)
| ~ incident(h,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_189]),c_0_227])]) ).
cnf(c_0_283,plain,
( incident(g,p)
| ~ incident(f,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_96]),c_0_120]) ).
cnf(c_0_284,plain,
( line_equal(m,q)
| point_equal(f,i)
| ~ incident(i,m) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]) ).
cnf(c_0_285,plain,
( point_equal(i,f)
| incident(d,s)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_267,c_0_48]) ).
cnf(c_0_286,plain,
( line_equal(p,q)
| line_equal(n,o)
| line_equal(s,r) ),
inference(spm,[status(thm)],[c_0_202,c_0_268]) ).
cnf(c_0_287,plain,
( line_equal(r,q)
| point_equal(i,h)
| ~ incident(h,r)
| ~ incident(i,q) ),
inference(spm,[status(thm)],[c_0_269,c_0_90]) ).
cnf(c_0_288,plain,
( incident(g,q)
| ~ incident(c,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_95]),c_0_233]) ).
cnf(c_0_289,plain,
( line_equal(s,q)
| point_equal(a,f)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_271]) ).
cnf(c_0_290,plain,
( point_equal(e,a)
| incident(g,q)
| ~ incident(a,o) ),
inference(spm,[status(thm)],[c_0_272,c_0_83]) ).
cnf(c_0_291,plain,
( point_equal(a,e)
| incident(i,q)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_273]) ).
cnf(c_0_292,plain,
( incident(e,n)
| ~ incident(c,n)
| ~ incident(h,X1)
| ~ incident(i,X1)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_274]) ).
cnf(c_0_293,plain,
( point_equal(d,b)
| incident(c,p)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_131,c_0_38]) ).
cnf(c_0_294,plain,
( point_equal(d,h)
| incident(i,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_275,c_0_90]) ).
cnf(c_0_295,plain,
( point_equal(e,d)
| incident(X1,p)
| ~ incident(e,p)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_276]) ).
cnf(c_0_296,plain,
( incident(g,r)
| ~ incident(d,o) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_129]),c_0_182]) ).
cnf(c_0_297,plain,
( point_equal(c,e)
| incident(g,r)
| ~ incident(e,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_278]) ).
cnf(c_0_298,plain,
( line_equal(p,q)
| point_equal(e,h)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_202,c_0_279]) ).
cnf(c_0_299,plain,
( point_equal(d,i)
| incident(h,s)
| ~ incident(i,p)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_280,c_0_118]) ).
cnf(c_0_300,plain,
( ~ incident(i,p)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_213]) ).
cnf(c_0_301,plain,
( point_equal(f,i)
| incident(d,s)
| ~ incident(i,m) ),
inference(spm,[status(thm)],[c_0_249,c_0_129]) ).
cnf(c_0_302,plain,
( ~ incident(i,p)
| ~ incident(f,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_283]),c_0_118])]) ).
cnf(c_0_303,plain,
( point_equal(f,i)
| incident(X1,q)
| ~ incident(i,m)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_284]) ).
cnf(c_0_304,plain,
( point_equal(f,i)
| incident(d,s)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_285]) ).
cnf(c_0_305,plain,
( line_equal(s,r)
| line_equal(p,q)
| line_equal(o,n) ),
inference(spm,[status(thm)],[c_0_202,c_0_286]) ).
cnf(c_0_306,plain,
( point_equal(i,h)
| incident(X1,q)
| ~ incident(h,r)
| ~ incident(i,q)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_287]) ).
cnf(c_0_307,plain,
( ~ incident(i,q)
| ~ incident(c,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_288]),c_0_252])]) ).
cnf(c_0_308,plain,
( point_equal(a,f)
| incident(X1,q)
| ~ incident(f,q)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_289]) ).
cnf(c_0_309,plain,
( line_equal(m,p)
| point_equal(d,h)
| ~ incident(h,m) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_129]),c_0_59])]) ).
cnf(c_0_310,plain,
( point_equal(a,e)
| incident(g,q)
| ~ incident(a,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_290]) ).
cnf(c_0_311,plain,
( line_equal(p,q)
| line_equal(n,o)
| incident(X1,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_268]) ).
cnf(c_0_312,plain,
( incident(i,q)
| incident(a,X1)
| ~ incident(b,r)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_291]) ).
cnf(c_0_313,plain,
( incident(e,s)
| ~ incident(e,n)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_195,c_0_187]) ).
cnf(c_0_314,plain,
( incident(e,n)
| ~ incident(c,n)
| ~ incident(c,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_187]),c_0_118])]) ).
cnf(c_0_315,plain,
( point_equal(c,d)
| incident(c,p)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_146,c_0_293]) ).
cnf(c_0_316,plain,
( point_equal(h,d)
| incident(i,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_294]) ).
cnf(c_0_317,plain,
( point_equal(e,d)
| incident(f,p)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_295,c_0_96]) ).
cnf(c_0_318,plain,
( ~ incident(h,r)
| ~ incident(d,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_296]),c_0_90])]) ).
cnf(c_0_319,plain,
( incident(i,p)
| incident(d,X1)
| ~ incident(h,r)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_294]) ).
cnf(c_0_320,plain,
( incident(g,r)
| incident(c,X1)
| ~ incident(e,r)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_297]) ).
cnf(c_0_321,plain,
( point_equal(e,h)
| incident(X1,q)
| ~ incident(e,p)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_298]) ).
cnf(c_0_322,plain,
( point_equal(i,d)
| ~ incident(i,p)
| ~ incident(d,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_299]),c_0_300]) ).
cnf(c_0_323,plain,
( incident(d,s)
| incident(f,X1)
| ~ incident(i,m)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_301]) ).
cnf(c_0_324,plain,
( ~ incident(f,p)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_302,c_0_187]) ).
cnf(c_0_325,plain,
( point_equal(f,i)
| incident(d,q)
| ~ incident(i,m) ),
inference(spm,[status(thm)],[c_0_303,c_0_129]) ).
cnf(c_0_326,plain,
( incident(d,s)
| incident(f,X1)
| ~ incident(f,r)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_304]) ).
cnf(c_0_327,plain,
( line_equal(p,q)
| line_equal(s,r)
| incident(X1,n)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_305]) ).
cnf(c_0_328,plain,
( point_equal(i,h)
| ~ incident(h,r)
| ~ incident(i,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_38]),c_0_307]) ).
cnf(c_0_329,plain,
( point_equal(a,f)
| incident(i,q)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_308,c_0_102]) ).
cnf(c_0_330,plain,
( line_equal(m,q)
| point_equal(e,h)
| ~ incident(h,m) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_95]),c_0_158])]) ).
cnf(c_0_331,plain,
( point_equal(d,h)
| incident(X1,p)
| ~ incident(h,m)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_309]) ).
cnf(c_0_332,plain,
( incident(g,q)
| incident(a,X1)
| ~ incident(a,o)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_310]) ).
cnf(c_0_333,plain,
( line_equal(n,o)
| line_equal(p,q)
| incident(c,s) ),
inference(spm,[status(thm)],[c_0_311,c_0_38]) ).
cnf(c_0_334,plain,
( incident(i,q)
| ~ incident(b,r) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_95]),c_0_233]) ).
cnf(c_0_335,plain,
( ~ incident(c,q)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_307,c_0_248]) ).
cnf(c_0_336,plain,
( incident(e,s)
| ~ incident(c,p)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_337,plain,
( incident(c,p)
| incident(c,X1)
| ~ incident(b,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_315]) ).
cnf(c_0_338,plain,
( line_equal(p,q)
| point_equal(b,h)
| ~ incident(b,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_58]),c_0_118])]) ).
cnf(c_0_339,plain,
( incident(i,p)
| incident(h,X1)
| ~ incident(h,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_316]) ).
cnf(c_0_340,plain,
( point_equal(d,e)
| incident(f,p)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_317]) ).
cnf(c_0_341,plain,
( incident(i,p)
| ~ incident(h,r)
| ~ incident(h,o) ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_342,plain,
( incident(f,p)
| incident(e,X1)
| ~ incident(e,p)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_317]) ).
cnf(c_0_343,plain,
( incident(g,r)
| ~ incident(e,r) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_95]),c_0_182]) ).
cnf(c_0_344,plain,
( point_equal(e,h)
| incident(b,q)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_321,c_0_58]) ).
cnf(c_0_345,plain,
( incident(i,X1)
| ~ incident(i,p)
| ~ incident(d,s)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_322]) ).
cnf(c_0_346,plain,
( incident(d,s)
| ~ incident(i,m)
| ~ incident(c,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_187]),c_0_324]) ).
cnf(c_0_347,plain,
( incident(d,q)
| incident(f,X1)
| ~ incident(i,m)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_325]) ).
cnf(c_0_348,plain,
( incident(d,s)
| ~ incident(f,r)
| ~ incident(c,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_187]),c_0_324]) ).
cnf(c_0_349,plain,
( line_equal(s,r)
| line_equal(p,q)
| incident(e,n) ),
inference(spm,[status(thm)],[c_0_327,c_0_115]) ).
cnf(c_0_350,plain,
( point_equal(h,i)
| ~ incident(h,r)
| ~ incident(i,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_328]) ).
cnf(c_0_351,plain,
( incident(i,q)
| incident(a,X1)
| ~ incident(f,q)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_329]) ).
cnf(c_0_352,plain,
( point_equal(e,h)
| incident(X1,q)
| ~ incident(h,m)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_330]) ).
cnf(c_0_353,plain,
( point_equal(d,h)
| incident(e,p)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_331,c_0_95]) ).
cnf(c_0_354,plain,
( incident(g,q)
| ~ incident(a,o) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_95]),c_0_233]) ).
cnf(c_0_355,plain,
( line_equal(s,l)
| point_equal(a,c)
| ~ incident(c,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_175]),c_0_142])]) ).
cnf(c_0_356,plain,
( line_equal(p,q)
| line_equal(o,n)
| incident(c,s) ),
inference(spm,[status(thm)],[c_0_202,c_0_333]) ).
cnf(c_0_357,plain,
( line_equal(p,q)
| point_equal(i,h)
| ~ incident(b,r) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_196]),c_0_118])]),c_0_334]) ).
cnf(c_0_358,plain,
( ~ incident(c,q)
| ~ incident(c,p)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_359,plain,
( incident(c,X1)
| ~ incident(b,r)
| ~ incident(b,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_54]) ).
cnf(c_0_360,plain,
( incident(c,p)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_337,c_0_59]) ).
cnf(c_0_361,plain,
( line_equal(o,l)
| point_equal(c,b)
| ~ incident(b,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_73]),c_0_39])]) ).
cnf(c_0_362,plain,
( point_equal(b,h)
| incident(X1,q)
| ~ incident(b,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_338]) ).
cnf(c_0_363,plain,
( incident(h,m)
| incident(i,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_339,c_0_129]) ).
cnf(c_0_364,plain,
( incident(f,p)
| incident(d,X1)
| ~ incident(e,p)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_340]) ).
cnf(c_0_365,plain,
( ~ incident(f,p)
| ~ incident(h,r)
| ~ incident(h,o) ),
inference(spm,[status(thm)],[c_0_302,c_0_341]) ).
cnf(c_0_366,plain,
( incident(e,r)
| incident(f,p)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_342,c_0_48]) ).
cnf(c_0_367,plain,
( ~ incident(h,r)
| ~ incident(e,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_343]),c_0_90])]) ).
cnf(c_0_368,plain,
( point_equal(h,e)
| incident(b,q)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_344]) ).
cnf(c_0_369,plain,
( incident(i,X1)
| ~ incident(i,p)
| ~ incident(i,m)
| ~ incident(d,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_243]) ).
cnf(c_0_370,plain,
( incident(d,q)
| ~ incident(i,m)
| ~ incident(c,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_187]),c_0_324]) ).
cnf(c_0_371,plain,
( incident(i,X1)
| ~ incident(i,p)
| ~ incident(f,r)
| ~ incident(d,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_348]),c_0_243]) ).
cnf(c_0_372,plain,
( line_equal(s,r)
| line_equal(q,p)
| incident(e,n) ),
inference(spm,[status(thm)],[c_0_202,c_0_349]) ).
cnf(c_0_373,plain,
( incident(h,X1)
| ~ incident(h,r)
| ~ incident(i,q)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_350]) ).
cnf(c_0_374,plain,
( incident(i,q)
| ~ incident(f,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_96]),c_0_233]) ).
cnf(c_0_375,plain,
( point_equal(e,h)
| incident(f,q)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_352,c_0_96]) ).
cnf(c_0_376,plain,
( point_equal(h,d)
| incident(e,p)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_53,c_0_353]) ).
cnf(c_0_377,plain,
( point_equal(d,h)
| incident(c,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_275,c_0_38]) ).
cnf(c_0_378,plain,
( ~ incident(i,q)
| ~ incident(a,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_354]),c_0_252])]) ).
cnf(c_0_379,plain,
( point_equal(a,c)
| incident(X1,l)
| ~ incident(c,s)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_355]) ).
cnf(c_0_380,plain,
( line_equal(p,q)
| incident(c,s)
| incident(X1,n)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_356]) ).
cnf(c_0_381,plain,
( point_equal(i,h)
| incident(X1,q)
| ~ incident(b,r)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_357]) ).
cnf(c_0_382,plain,
( ~ incident(c,q)
| ~ incident(b,r) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_64])]),c_0_360]) ).
cnf(c_0_383,plain,
( point_equal(c,b)
| incident(X1,l)
| ~ incident(b,o)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_361]) ).
cnf(c_0_384,plain,
( line_equal(q,l)
| point_equal(a,b)
| ~ incident(b,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_141]),c_0_142])]) ).
cnf(c_0_385,plain,
( point_equal(b,h)
| incident(d,q)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_362,c_0_59]) ).
cnf(c_0_386,plain,
( incident(h,m)
| ~ incident(f,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_302,c_0_363]) ).
cnf(c_0_387,plain,
( incident(f,p)
| ~ incident(h,r)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_364]),c_0_115])]) ).
cnf(c_0_388,plain,
( ~ incident(h,r)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]) ).
cnf(c_0_389,plain,
( incident(b,q)
| incident(h,X1)
| ~ incident(e,p)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_368]) ).
cnf(c_0_390,plain,
( incident(i,q)
| ~ incident(i,m)
| ~ incident(c,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_187]) ).
cnf(c_0_391,plain,
( incident(i,m)
| ~ incident(i,p)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_371,c_0_129]) ).
cnf(c_0_392,plain,
( line_equal(q,p)
| incident(e,n)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_372]) ).
cnf(c_0_393,plain,
( incident(h,X1)
| ~ incident(h,r)
| ~ incident(f,q)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_394,plain,
( incident(f,q)
| incident(e,X1)
| ~ incident(h,m)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_375]) ).
cnf(c_0_395,plain,
( incident(e,p)
| incident(h,X1)
| ~ incident(h,m)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_376]) ).
cnf(c_0_396,plain,
( point_equal(h,d)
| incident(c,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_377]) ).
cnf(c_0_397,plain,
( ~ incident(a,o)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_378,c_0_248]) ).
cnf(c_0_398,plain,
( point_equal(a,c)
| ~ incident(c,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_55]),c_0_99]) ).
cnf(c_0_399,plain,
( line_equal(p,q)
| incident(c,n)
| incident(c,s) ),
inference(spm,[status(thm)],[c_0_380,c_0_73]) ).
cnf(c_0_400,plain,
( point_equal(i,h)
| ~ incident(b,r) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_359]),c_0_58])]),c_0_382]) ).
cnf(c_0_401,plain,
( point_equal(c,b)
| ~ incident(b,o) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_115]),c_0_178]) ).
cnf(c_0_402,plain,
( point_equal(a,b)
| incident(X1,l)
| ~ incident(b,q)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_384]) ).
cnf(c_0_403,plain,
( line_equal(p,r)
| point_equal(d,h)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_202,c_0_256]) ).
cnf(c_0_404,plain,
( incident(d,q)
| incident(b,X1)
| ~ incident(b,q)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_385]) ).
cnf(c_0_405,plain,
( incident(h,m)
| ~ incident(h,r)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_406,plain,
( incident(b,q)
| ~ incident(h,r)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_115])]) ).
cnf(c_0_407,plain,
( incident(i,q)
| ~ incident(c,p)
| ~ incident(f,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_391]),c_0_187]) ).
cnf(c_0_408,plain,
( line_equal(q,p)
| incident(f,r)
| incident(e,n) ),
inference(spm,[status(thm)],[c_0_392,c_0_55]) ).
cnf(c_0_409,plain,
( ~ incident(h,r)
| ~ incident(f,q) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_189]),c_0_157])]),c_0_201]) ).
cnf(c_0_410,plain,
( incident(e,p)
| incident(f,q)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_394,c_0_118]) ).
cnf(c_0_411,plain,
( incident(h,r)
| incident(e,p)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_395,c_0_48]) ).
cnf(c_0_412,plain,
( incident(c,p)
| incident(h,X1)
| ~ incident(h,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_396]) ).
cnf(c_0_413,plain,
( incident(h,X1)
| ~ incident(h,r)
| ~ incident(e,s)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_373,c_0_248]) ).
cnf(c_0_414,plain,
( line_equal(s,r)
| line_equal(p,q)
| incident(X1,o)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_286]) ).
cnf(c_0_415,plain,
( ~ incident(a,o)
| ~ incident(c,p)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_397,c_0_336]) ).
cnf(c_0_416,plain,
( incident(a,X1)
| ~ incident(c,s)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_398]) ).
cnf(c_0_417,plain,
( incident(c,s)
| incident(c,n)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_399]) ).
cnf(c_0_418,plain,
( point_equal(h,i)
| ~ incident(b,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_400]) ).
cnf(c_0_419,plain,
( incident(c,X1)
| ~ incident(b,o)
| ~ incident(b,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_401]) ).
cnf(c_0_420,plain,
( point_equal(a,b)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_158]),c_0_178]) ).
cnf(c_0_421,plain,
( line_equal(X1,r)
| point_equal(d,h)
| ~ line_equal(X1,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_230,c_0_403]) ).
cnf(c_0_422,plain,
( incident(d,q)
| ~ incident(h,r)
| ~ incident(e,p) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_120]),c_0_406]) ).
cnf(c_0_423,plain,
( incident(h,X1)
| ~ incident(h,r)
| ~ incident(c,p)
| ~ incident(f,r)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_373,c_0_407]) ).
cnf(c_0_424,plain,
( incident(e,n)
| incident(f,r)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_408]) ).
cnf(c_0_425,plain,
( incident(e,p)
| ~ incident(h,m) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411]) ).
cnf(c_0_426,plain,
( incident(h,m)
| incident(c,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_412,c_0_129]) ).
cnf(c_0_427,plain,
( incident(h,m)
| incident(e,s)
| ~ incident(e,n)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_195,c_0_363]) ).
cnf(c_0_428,plain,
( ~ incident(h,r)
| ~ incident(e,s) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_189]),c_0_157])]),c_0_201]) ).
cnf(c_0_429,plain,
( line_equal(p,q)
| line_equal(s,r)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_414,c_0_64]) ).
cnf(c_0_430,plain,
( ~ incident(c,p)
| ~ incident(c,n)
| ~ incident(c,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_73])]) ).
cnf(c_0_431,plain,
( incident(b,X1)
| ~ incident(c,n)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_113]) ).
cnf(c_0_432,plain,
( incident(b,q)
| incident(c,n)
| incident(c,s) ),
inference(spm,[status(thm)],[c_0_417,c_0_58]) ).
cnf(c_0_433,plain,
( incident(h,X1)
| ~ incident(b,r)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_418]) ).
cnf(c_0_434,plain,
( ~ incident(c,q)
| ~ incident(c,p)
| ~ incident(b,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_419]),c_0_64])]) ).
cnf(c_0_435,plain,
( point_equal(b,a)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_420]) ).
cnf(c_0_436,plain,
( line_equal(r,X1)
| point_equal(d,h)
| ~ line_equal(X1,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_202,c_0_421]) ).
cnf(c_0_437,plain,
( line_equal(q,p)
| point_equal(d,h)
| ~ incident(h,r)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_422]),c_0_252]),c_0_59])]) ).
cnf(c_0_438,plain,
( ~ incident(h,r)
| ~ incident(c,p)
| ~ incident(f,r) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_189]),c_0_157])]),c_0_201]) ).
cnf(c_0_439,plain,
( incident(e,p)
| incident(f,r)
| incident(e,n) ),
inference(spm,[status(thm)],[c_0_424,c_0_158]) ).
cnf(c_0_440,plain,
( incident(c,p)
| incident(e,p)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_441,plain,
( incident(e,p)
| ~ incident(e,n)
| ~ incident(h,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_427]),c_0_428]) ).
cnf(c_0_442,plain,
( line_equal(s,r)
| line_equal(q,p)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_429]) ).
cnf(c_0_443,plain,
( ~ incident(c,p)
| ~ incident(c,s)
| ~ incident(b,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_419]),c_0_64])]) ).
cnf(c_0_444,plain,
( incident(c,s)
| incident(b,q)
| incident(b,X1)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_445,plain,
~ incident(b,r),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_189]),c_0_157])]),c_0_201]) ).
cnf(c_0_446,plain,
( ~ incident(c,q)
| ~ incident(b,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_419]),c_0_58])]) ).
cnf(c_0_447,plain,
( line_equal(X1,l)
| point_equal(X2,a)
| ~ incident(a,X1)
| ~ incident(X2,l)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_142]) ).
cnf(c_0_448,plain,
( incident(b,X1)
| ~ incident(b,q)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_435]) ).
cnf(c_0_449,plain,
( line_equal(r,q)
| point_equal(d,h)
| ~ incident(h,r)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_450,plain,
( incident(e,p)
| ~ incident(h,r) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_440]),c_0_441]) ).
cnf(c_0_451,plain,
( line_equal(q,p)
| incident(b,o)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_442]) ).
cnf(c_0_452,plain,
( ~ incident(c,s)
| ~ incident(b,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_419]),c_0_58])]) ).
cnf(c_0_453,plain,
( incident(b,q)
| incident(c,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_38]),c_0_445]) ).
cnf(c_0_454,plain,
( ~ incident(b,o)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_446,c_0_419]) ).
cnf(c_0_455,plain,
( line_equal(p,l)
| point_equal(b,a)
| ~ incident(a,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_58]),c_0_32])]) ).
cnf(c_0_456,plain,
( line_equal(s,q)
| point_equal(a,h)
| ~ incident(h,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_175]),c_0_141])]) ).
cnf(c_0_457,plain,
( incident(b,s)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_448,c_0_175]) ).
cnf(c_0_458,plain,
( line_equal(q,r)
| point_equal(d,h)
| ~ incident(h,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_449]),c_0_450]) ).
cnf(c_0_459,plain,
( line_equal(q,p)
| incident(f,r)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_451,c_0_55]) ).
cnf(c_0_460,plain,
~ incident(b,o),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_454]) ).
cnf(c_0_461,plain,
( point_equal(b,a)
| incident(X1,l)
| ~ incident(a,p)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_455]) ).
cnf(c_0_462,plain,
( point_equal(a,h)
| incident(X1,q)
| ~ incident(h,s)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_456]) ).
cnf(c_0_463,plain,
( line_equal(s,n)
| point_equal(b,f)
| ~ incident(b,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_457]),c_0_55]),c_0_64])]) ).
cnf(c_0_464,plain,
( line_equal(r,q)
| point_equal(d,h)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_202,c_0_458]) ).
cnf(c_0_465,plain,
( line_equal(q,p)
| incident(f,r) ),
inference(sr,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_466,plain,
( line_equal(p,q)
| incident(b,o)
| incident(f,r) ),
inference(spm,[status(thm)],[c_0_202,c_0_459]) ).
cnf(c_0_467,plain,
( point_equal(b,a)
| ~ incident(a,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_59]),c_0_49]) ).
cnf(c_0_468,plain,
( point_equal(a,h)
| incident(f,q)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_462,c_0_55]) ).
cnf(c_0_469,plain,
( line_equal(n,s)
| point_equal(b,f)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_463]) ).
cnf(c_0_470,plain,
( point_equal(d,h)
| incident(X1,q)
| ~ incident(h,r)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_464]) ).
cnf(c_0_471,plain,
( incident(f,r)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_465]) ).
cnf(c_0_472,plain,
( line_equal(p,q)
| incident(f,r) ),
inference(sr,[status(thm)],[c_0_466,c_0_460]) ).
cnf(c_0_473,plain,
( point_equal(a,b)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_467]) ).
cnf(c_0_474,plain,
( incident(f,q)
| incident(a,X1)
| ~ incident(h,s)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_468]) ).
cnf(c_0_475,plain,
( point_equal(b,f)
| incident(X1,s)
| ~ incident(b,q)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_469]) ).
cnf(c_0_476,plain,
( point_equal(d,h)
| incident(i,q)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_470,c_0_90]) ).
cnf(c_0_477,plain,
( incident(i,p)
| incident(f,r)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_471,c_0_374]) ).
cnf(c_0_478,plain,
( incident(f,r)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_472]) ).
cnf(c_0_479,plain,
( point_equal(X1,b)
| ~ point_equal(X1,a)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_105,c_0_473]) ).
cnf(c_0_480,plain,
( point_equal(h,a)
| incident(f,q)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_468]) ).
cnf(c_0_481,plain,
( incident(a,p)
| incident(f,q)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_474,c_0_118]) ).
cnf(c_0_482,plain,
( point_equal(b,f)
| incident(g,s)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_475,c_0_71]) ).
cnf(c_0_483,plain,
( point_equal(h,d)
| incident(i,q)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_476]) ).
cnf(c_0_484,plain,
( incident(f,r)
| ~ incident(f,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_477]),c_0_478]) ).
cnf(c_0_485,plain,
( point_equal(h,b)
| incident(f,q)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_481]) ).
cnf(c_0_486,plain,
( incident(g,s)
| incident(b,X1)
| ~ incident(b,q)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_482]) ).
cnf(c_0_487,plain,
( point_equal(d,h)
| incident(c,q)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_470,c_0_38]) ).
cnf(c_0_488,plain,
( incident(i,q)
| incident(h,X1)
| ~ incident(h,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_483]) ).
cnf(c_0_489,plain,
( line_equal(s,q)
| point_equal(f,i)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_202,c_0_265]) ).
cnf(c_0_490,plain,
( incident(f,r)
| ~ incident(e,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_247]),c_0_484]) ).
cnf(c_0_491,plain,
( point_equal(b,h)
| incident(f,q)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_485]) ).
cnf(c_0_492,plain,
( incident(g,s)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_96]),c_0_120]) ).
cnf(c_0_493,plain,
( point_equal(h,d)
| incident(c,q)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_487]) ).
cnf(c_0_494,plain,
( incident(h,m)
| incident(i,q)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_488,c_0_129]) ).
cnf(c_0_495,plain,
( point_equal(c,a)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_398]) ).
cnf(c_0_496,plain,
( line_equal(o,r)
| point_equal(g,c)
| ~ incident(g,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_83]),c_0_73])]) ).
cnf(c_0_497,plain,
( line_equal(q,p)
| point_equal(a,h)
| ~ incident(a,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_141]),c_0_252])]) ).
cnf(c_0_498,plain,
( line_equal(X1,q)
| point_equal(f,i)
| ~ line_equal(X1,s)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_230,c_0_489]) ).
cnf(c_0_499,plain,
( line_equal(r,s)
| point_equal(f,i)
| ~ incident(e,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_490]),c_0_90]),c_0_55])]) ).
cnf(c_0_500,plain,
( incident(f,q)
| incident(b,X1)
| ~ incident(h,s)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_491]) ).
cnf(c_0_501,plain,
( ~ incident(h,s)
| ~ incident(b,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_492]),c_0_102])]) ).
cnf(c_0_502,plain,
( incident(c,q)
| incident(h,X1)
| ~ incident(h,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_493]) ).
cnf(c_0_503,plain,
( incident(h,m)
| ~ incident(c,q)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_307,c_0_494]) ).
cnf(c_0_504,plain,
( point_equal(X1,a)
| ~ point_equal(X1,c)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_105,c_0_495]) ).
cnf(c_0_505,plain,
( point_equal(g,c)
| incident(X1,r)
| ~ incident(g,r)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_496]) ).
cnf(c_0_506,plain,
( line_equal(p,q)
| point_equal(a,h)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_202,c_0_497]) ).
cnf(c_0_507,plain,
( line_equal(r,q)
| point_equal(f,i)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_508,plain,
( line_equal(m,r)
| point_equal(f,d)
| ~ incident(f,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_96]),c_0_129])]) ).
cnf(c_0_509,plain,
( line_equal(n,o)
| line_equal(p,q)
| incident(d,s) ),
inference(spm,[status(thm)],[c_0_311,c_0_48]) ).
cnf(c_0_510,plain,
( line_equal(X1,m)
| point_equal(X2,e)
| ~ incident(e,X1)
| ~ incident(X2,m)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_95]) ).
cnf(c_0_511,plain,
( incident(f,q)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_252]),c_0_501]) ).
cnf(c_0_512,plain,
( line_equal(s,r)
| incident(b,o)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_429]) ).
cnf(c_0_513,plain,
( incident(h,m)
| ~ incident(h,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_129]),c_0_503]) ).
cnf(c_0_514,plain,
( line_equal(p,q)
| incident(c,s)
| incident(X1,o)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_333]) ).
cnf(c_0_515,plain,
( point_equal(a,X1)
| ~ point_equal(X1,c)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_504]) ).
cnf(c_0_516,plain,
( point_equal(g,c)
| incident(a,r)
| ~ incident(g,r)
| ~ incident(c,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_416]),c_0_73])]) ).
cnf(c_0_517,plain,
( point_equal(a,h)
| incident(X1,q)
| ~ incident(a,p)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_506]) ).
cnf(c_0_518,plain,
( line_equal(p,s)
| point_equal(b,i)
| ~ incident(i,p)
| ~ incident(b,s) ),
inference(spm,[status(thm)],[c_0_117,c_0_58]) ).
cnf(c_0_519,plain,
( point_equal(f,i)
| incident(X1,q)
| ~ incident(e,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_507]) ).
cnf(c_0_520,plain,
( point_equal(f,d)
| incident(X1,r)
| ~ incident(f,r)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_508]) ).
cnf(c_0_521,plain,
( line_equal(p,q)
| incident(d,s)
| incident(X1,o)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_509]) ).
cnf(c_0_522,plain,
( line_equal(q,m)
| point_equal(f,e)
| ~ incident(h,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_158]),c_0_96])]) ).
cnf(c_0_523,plain,
( line_equal(s,r)
| incident(b,q)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_512,c_0_58]) ).
cnf(c_0_524,plain,
( line_equal(m,q)
| point_equal(h,e)
| ~ incident(h,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_513]),c_0_95]),c_0_252])]) ).
cnf(c_0_525,plain,
( line_equal(m,r)
| point_equal(h,d)
| ~ incident(h,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_513]),c_0_129])]) ).
cnf(c_0_526,plain,
( line_equal(p,q)
| incident(b,o)
| incident(c,s) ),
inference(spm,[status(thm)],[c_0_514,c_0_64]) ).
cnf(c_0_527,plain,
( incident(a,r)
| ~ incident(c,s)
| ~ incident(g,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_60]) ).
cnf(c_0_528,plain,
( line_equal(q,p)
| incident(a,r)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_451,c_0_175]) ).
cnf(c_0_529,plain,
( point_equal(a,h)
| incident(b,q)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_517,c_0_58]) ).
cnf(c_0_530,plain,
( line_equal(r,l)
| point_equal(c,a)
| ~ incident(a,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_38]),c_0_39])]) ).
cnf(c_0_531,plain,
( point_equal(b,i)
| incident(X1,s)
| ~ incident(i,p)
| ~ incident(b,s)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_518]) ).
cnf(c_0_532,plain,
( point_equal(f,i)
| ~ incident(e,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_38]),c_0_335]) ).
cnf(c_0_533,plain,
( point_equal(f,d)
| incident(e,r)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_520,c_0_95]) ).
cnf(c_0_534,plain,
( line_equal(p,q)
| incident(b,o)
| incident(d,s) ),
inference(spm,[status(thm)],[c_0_521,c_0_64]) ).
cnf(c_0_535,plain,
( line_equal(m,q)
| point_equal(f,e)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_202,c_0_522]) ).
cnf(c_0_536,plain,
( line_equal(r,s)
| incident(b,o)
| incident(b,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_523]) ).
cnf(c_0_537,plain,
( point_equal(h,e)
| incident(X1,q)
| ~ incident(h,r)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_524]) ).
cnf(c_0_538,plain,
( point_equal(h,d)
| incident(X1,r)
| ~ incident(h,r)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_525]) ).
cnf(c_0_539,plain,
( line_equal(q,p)
| incident(c,s)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_526]) ).
cnf(c_0_540,plain,
( incident(a,r)
| ~ incident(c,s)
| ~ incident(e,r) ),
inference(spm,[status(thm)],[c_0_527,c_0_343]) ).
cnf(c_0_541,plain,
( incident(e,r)
| ~ incident(c,p)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_324,c_0_366]) ).
cnf(c_0_542,plain,
( incident(b,o)
| incident(a,r)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_528]) ).
cnf(c_0_543,plain,
( point_equal(h,a)
| incident(b,q)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_529]) ).
cnf(c_0_544,plain,
( point_equal(c,a)
| incident(X1,l)
| ~ incident(a,r)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_530]) ).
cnf(c_0_545,plain,
( point_equal(b,i)
| ~ incident(i,p)
| ~ incident(b,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_118]),c_0_154]) ).
cnf(c_0_546,plain,
( point_equal(i,f)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_532]) ).
cnf(c_0_547,plain,
( incident(e,r)
| incident(f,X1)
| ~ incident(f,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_533]) ).
cnf(c_0_548,plain,
( incident(d,s)
| incident(b,o)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_534]) ).
cnf(c_0_549,plain,
( line_equal(p,q)
| point_equal(d,h)
| ~ incident(d,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_59]),c_0_118])]) ).
cnf(c_0_550,plain,
( point_equal(f,e)
| incident(X1,q)
| ~ incident(h,s)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_535]) ).
cnf(c_0_551,plain,
( line_equal(r,s)
| incident(b,q) ),
inference(sr,[status(thm)],[c_0_536,c_0_460]) ).
cnf(c_0_552,plain,
( point_equal(h,e)
| ~ incident(h,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_96]),c_0_409]) ).
cnf(c_0_553,plain,
( point_equal(h,d)
| ~ incident(h,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_95]),c_0_367]) ).
cnf(c_0_554,plain,
( incident(b,o)
| incident(c,s)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_539]) ).
cnf(c_0_555,plain,
( incident(X1,X2)
| ~ point_equal(X1,c)
| ~ incident(c,s)
| ~ incident(a,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_504]) ).
cnf(c_0_556,plain,
( incident(a,r)
| ~ incident(c,s)
| ~ incident(c,p)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_557,plain,
( incident(e,p)
| incident(a,r)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_542,c_0_158]) ).
cnf(c_0_558,plain,
( point_equal(h,b)
| incident(b,q)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_479,c_0_543]) ).
cnf(c_0_559,plain,
( point_equal(c,a)
| ~ incident(a,r) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_48]),c_0_49]) ).
cnf(c_0_560,plain,
( incident(b,o)
| incident(b,q)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_523]) ).
cnf(c_0_561,plain,
( incident(b,X1)
| ~ incident(i,p)
| ~ incident(b,s)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_545]) ).
cnf(c_0_562,plain,
( incident(i,X1)
| ~ incident(e,s)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_546]) ).
cnf(c_0_563,plain,
( incident(f,p)
| incident(e,r)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_547,c_0_59]) ).
cnf(c_0_564,plain,
( incident(d,q)
| incident(b,o)
| incident(d,s) ),
inference(spm,[status(thm)],[c_0_548,c_0_59]) ).
cnf(c_0_565,plain,
( point_equal(d,h)
| incident(X1,q)
| ~ incident(d,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_549]) ).
cnf(c_0_566,plain,
( point_equal(f,e)
| incident(d,q)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_550,c_0_129]) ).
cnf(c_0_567,plain,
( incident(b,q)
| incident(X1,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_551]) ).
cnf(c_0_568,plain,
( point_equal(X1,e)
| ~ point_equal(X1,h)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_105,c_0_552]) ).
cnf(c_0_569,plain,
( point_equal(d,h)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_553]) ).
cnf(c_0_570,plain,
( incident(a,p)
| incident(c,s)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_554,c_0_141]) ).
cnf(c_0_571,plain,
( line_equal(p,q)
| incident(c,s) ),
inference(sr,[status(thm)],[c_0_526,c_0_460]) ).
cnf(c_0_572,plain,
( incident(b,X1)
| ~ incident(c,s)
| ~ incident(c,p)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_555,c_0_88]) ).
cnf(c_0_573,plain,
( incident(a,r)
| ~ incident(c,s)
| ~ incident(c,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_452]) ).
cnf(c_0_574,plain,
( point_equal(b,h)
| incident(b,q)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_558]) ).
cnf(c_0_575,plain,
( point_equal(a,c)
| ~ incident(a,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_559]) ).
cnf(c_0_576,plain,
( incident(a,r)
| incident(b,q)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_560,c_0_175]) ).
cnf(c_0_577,plain,
( incident(b,X1)
| ~ incident(b,s)
| ~ incident(c,p)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_561,c_0_187]) ).
cnf(c_0_578,plain,
( line_equal(q,s)
| point_equal(e,i)
| ~ incident(i,q)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_117,c_0_158]) ).
cnf(c_0_579,plain,
( ~ incident(f,p)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_302,c_0_562]) ).
cnf(c_0_580,plain,
( incident(e,r)
| incident(f,p)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_563,c_0_490]) ).
cnf(c_0_581,plain,
( line_equal(o,n)
| point_equal(e,g)
| ~ incident(e,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_115]),c_0_83])]) ).
cnf(c_0_582,plain,
( point_equal(X1,c)
| ~ point_equal(X1,b)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_105,c_0_113]) ).
cnf(c_0_583,plain,
( ~ incident(i,p)
| ~ incident(e,p)
| ~ incident(e,n) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_364]),c_0_302]) ).
cnf(c_0_584,plain,
( incident(d,s)
| incident(d,q) ),
inference(sr,[status(thm)],[c_0_564,c_0_460]) ).
cnf(c_0_585,plain,
( point_equal(d,h)
| incident(b,q)
| ~ incident(d,q) ),
inference(spm,[status(thm)],[c_0_565,c_0_58]) ).
cnf(c_0_586,plain,
( point_equal(e,f)
| incident(d,q)
| ~ incident(h,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_566]) ).
cnf(c_0_587,plain,
( incident(g,s)
| ~ incident(e,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_343]),c_0_492]) ).
cnf(c_0_588,plain,
( point_equal(d,e)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_589,plain,
( incident(b,X1)
| ~ incident(a,p)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_467]) ).
cnf(c_0_590,plain,
( incident(c,s)
| incident(a,p) ),
inference(sr,[status(thm)],[c_0_570,c_0_460]) ).
cnf(c_0_591,plain,
( incident(c,s)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_571]) ).
cnf(c_0_592,plain,
( ~ incident(c,s)
| ~ incident(c,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_445]) ).
cnf(c_0_593,plain,
( point_equal(X1,c)
| ~ point_equal(X1,b)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_105,c_0_88]) ).
cnf(c_0_594,plain,
( incident(b,q)
| incident(b,X1)
| ~ incident(a,p)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_574]) ).
cnf(c_0_595,plain,
( incident(a,X1)
| ~ incident(a,r)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_575]) ).
cnf(c_0_596,plain,
( incident(b,q)
| incident(a,r) ),
inference(sr,[status(thm)],[c_0_576,c_0_460]) ).
cnf(c_0_597,plain,
( ~ incident(b,s)
| ~ incident(c,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_90]),c_0_445]) ).
cnf(c_0_598,plain,
( line_equal(s,q)
| point_equal(e,i)
| ~ incident(e,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_578]),c_0_248]) ).
cnf(c_0_599,plain,
( incident(e,r)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_579,c_0_580]) ).
cnf(c_0_600,plain,
( point_equal(e,g)
| incident(X1,n)
| ~ incident(e,n)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_581]) ).
cnf(c_0_601,plain,
( point_equal(c,X1)
| ~ point_equal(X1,b)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_53,c_0_582]) ).
cnf(c_0_602,plain,
( incident(a,p)
| incident(a,r)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_542,c_0_141]) ).
cnf(c_0_603,plain,
( ~ incident(e,p)
| ~ incident(e,n)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_583,c_0_187]) ).
cnf(c_0_604,plain,
( incident(e,p)
| incident(c,s)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_554,c_0_158]) ).
cnf(c_0_605,plain,
( point_equal(a,f)
| incident(d,q)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_308,c_0_584]) ).
cnf(c_0_606,plain,
( point_equal(h,d)
| incident(b,q)
| ~ incident(d,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_585]) ).
cnf(c_0_607,plain,
( incident(d,q)
| incident(e,X1)
| ~ incident(h,s)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_586]) ).
cnf(c_0_608,plain,
( incident(f,r)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_477]),c_0_511]) ).
cnf(c_0_609,plain,
( ~ incident(h,s)
| ~ incident(e,r) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_587]),c_0_102])]) ).
cnf(c_0_610,plain,
( point_equal(e,d)
| ~ incident(h,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_588]) ).
cnf(c_0_611,plain,
( line_equal(q,p)
| incident(d,s)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_534]) ).
cnf(c_0_612,plain,
( incident(c,X1)
| ~ incident(c,s)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_495]) ).
cnf(c_0_613,plain,
( incident(c,s)
| incident(b,X1)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_589,c_0_590]) ).
cnf(c_0_614,plain,
( incident(i,q)
| ~ incident(c,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_187]),c_0_592]) ).
cnf(c_0_615,plain,
( incident(X1,X2)
| ~ point_equal(X1,b)
| ~ incident(c,p)
| ~ incident(c,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_593]) ).
cnf(c_0_616,plain,
( incident(b,q)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_594,c_0_252]) ).
cnf(c_0_617,plain,
( incident(b,q)
| incident(a,X1)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_595,c_0_596]) ).
cnf(c_0_618,plain,
( point_equal(d,b)
| ~ incident(i,p)
| ~ incident(b,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_545]),c_0_597]) ).
cnf(c_0_619,plain,
( line_equal(X1,q)
| point_equal(e,i)
| ~ line_equal(X1,s)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_230,c_0_598]) ).
cnf(c_0_620,plain,
( line_equal(r,s)
| point_equal(e,i)
| ~ incident(e,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_599]),c_0_90])]) ).
cnf(c_0_621,plain,
( point_equal(e,g)
| incident(c,n)
| ~ incident(e,n) ),
inference(spm,[status(thm)],[c_0_600,c_0_73]) ).
cnf(c_0_622,plain,
( point_equal(c,a)
| ~ incident(c,n)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_601,c_0_420]) ).
cnf(c_0_623,plain,
( incident(a,r)
| incident(a,p) ),
inference(sr,[status(thm)],[c_0_602,c_0_460]) ).
cnf(c_0_624,plain,
( ~ incident(e,p)
| ~ incident(c,p)
| ~ incident(c,n) ),
inference(spm,[status(thm)],[c_0_603,c_0_314]) ).
cnf(c_0_625,plain,
( incident(c,s)
| incident(e,p) ),
inference(sr,[status(thm)],[c_0_604,c_0_460]) ).
cnf(c_0_626,plain,
( line_equal(q,p)
| line_equal(s,r) ),
inference(sr,[status(thm)],[c_0_442,c_0_460]) ).
cnf(c_0_627,plain,
( incident(d,q)
| incident(a,X1)
| ~ incident(f,q)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_605]) ).
cnf(c_0_628,plain,
( incident(b,q)
| incident(h,X1)
| ~ incident(d,q)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_606]) ).
cnf(c_0_629,plain,
( incident(d,q)
| ~ incident(h,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_608]),c_0_609]) ).
cnf(c_0_630,plain,
( incident(e,X1)
| ~ incident(h,r)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_610]) ).
cnf(c_0_631,plain,
( line_equal(q,p)
| incident(d,s) ),
inference(sr,[status(thm)],[c_0_611,c_0_460]) ).
cnf(c_0_632,plain,
( incident(c,q)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_612,c_0_141]) ).
cnf(c_0_633,plain,
( incident(b,s)
| incident(c,s) ),
inference(spm,[status(thm)],[c_0_613,c_0_175]) ).
cnf(c_0_634,plain,
( ~ incident(a,o)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_378,c_0_614]) ).
cnf(c_0_635,plain,
( incident(a,X1)
| ~ incident(c,p)
| ~ incident(b,q)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_615,c_0_420]) ).
cnf(c_0_636,plain,
( incident(b,q)
| ~ incident(c,p) ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_637,plain,
( point_equal(b,d)
| ~ incident(i,p)
| ~ incident(b,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_618]) ).
cnf(c_0_638,plain,
( line_equal(r,q)
| point_equal(e,i)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_619,c_0_620]) ).
cnf(c_0_639,plain,
( point_equal(g,e)
| incident(c,n)
| ~ incident(e,n) ),
inference(spm,[status(thm)],[c_0_53,c_0_621]) ).
cnf(c_0_640,plain,
( incident(b,X1)
| ~ incident(c,s)
| ~ incident(c,n)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_555,c_0_113]) ).
cnf(c_0_641,plain,
( incident(c,X1)
| ~ incident(c,n)
| ~ incident(b,q)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_622]) ).
cnf(c_0_642,plain,
( incident(a,p)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_623]),c_0_445]) ).
cnf(c_0_643,plain,
( ~ incident(c,p)
| ~ incident(c,n) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_625]),c_0_592]) ).
cnf(c_0_644,plain,
( line_equal(q,p)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_626]) ).
cnf(c_0_645,plain,
( incident(d,q)
| ~ incident(f,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_96]),c_0_233]) ).
cnf(c_0_646,plain,
( incident(b,q)
| incident(b,o)
| incident(d,s) ),
inference(spm,[status(thm)],[c_0_548,c_0_58]) ).
cnf(c_0_647,plain,
( incident(h,X1)
| ~ incident(h,s)
| ~ incident(d,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_629]),c_0_501]) ).
cnf(c_0_648,plain,
~ incident(h,r),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_48]),c_0_367]) ).
cnf(c_0_649,plain,
( line_equal(m,s)
| point_equal(d,f)
| ~ incident(d,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_129]),c_0_96])]) ).
cnf(c_0_650,plain,
( line_equal(r,s)
| point_equal(c,i)
| ~ incident(c,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_38]),c_0_90])]) ).
cnf(c_0_651,plain,
( incident(d,s)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_631]) ).
cnf(c_0_652,plain,
( incident(b,s)
| incident(c,q) ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_653,plain,
~ incident(c,p),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_635]),c_0_73])]),c_0_636]) ).
cnf(c_0_654,plain,
( incident(b,X1)
| ~ incident(i,p)
| ~ incident(b,s)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_637]) ).
cnf(c_0_655,plain,
( point_equal(e,i)
| incident(X1,q)
| ~ incident(e,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_638]) ).
cnf(c_0_656,plain,
( incident(c,n)
| incident(g,X1)
| ~ incident(e,n)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_639]) ).
cnf(c_0_657,plain,
( incident(a,p)
| ~ incident(c,n) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_623]),c_0_445]),c_0_590]) ).
cnf(c_0_658,plain,
( ~ incident(c,n)
| ~ incident(b,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_642]),c_0_643]) ).
cnf(c_0_659,plain,
( line_equal(X1,s)
| point_equal(a,f)
| ~ line_equal(X1,q)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_230,c_0_271]) ).
cnf(c_0_660,plain,
( line_equal(q,p)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_457]),c_0_445]) ).
cnf(c_0_661,plain,
( incident(b,q)
| incident(h,X1)
| ~ incident(f,q)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_628,c_0_645]) ).
cnf(c_0_662,plain,
( incident(d,s)
| incident(b,q) ),
inference(sr,[status(thm)],[c_0_646,c_0_460]) ).
cnf(c_0_663,plain,
~ incident(h,s),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_48]),c_0_648]) ).
cnf(c_0_664,plain,
( point_equal(d,f)
| incident(X1,s)
| ~ incident(d,s)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_649]) ).
cnf(c_0_665,plain,
( point_equal(c,i)
| incident(X1,s)
| ~ incident(c,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_650]) ).
cnf(c_0_666,plain,
( incident(b,s)
| incident(d,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_653]) ).
cnf(c_0_667,plain,
( ~ incident(i,p)
| ~ incident(b,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_48]),c_0_445]) ).
cnf(c_0_668,plain,
( point_equal(X1,f)
| ~ point_equal(X1,i)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_105,c_0_546]) ).
cnf(c_0_669,plain,
( point_equal(e,i)
| ~ incident(e,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_38]),c_0_335]) ).
cnf(c_0_670,plain,
( incident(c,n)
| ~ incident(e,n)
| ~ incident(h,X1)
| ~ incident(i,X1)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_656]) ).
cnf(c_0_671,plain,
~ incident(c,n),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_657]),c_0_658]) ).
cnf(c_0_672,plain,
( line_equal(r,p)
| point_equal(f,d)
| ~ incident(f,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_484]),c_0_48])]) ).
cnf(c_0_673,plain,
( line_equal(s,X1)
| point_equal(a,f)
| ~ line_equal(X1,q)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_659]) ).
cnf(c_0_674,plain,
( line_equal(p,q)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_660]) ).
cnf(c_0_675,plain,
( incident(b,q)
| ~ incident(f,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_663]) ).
cnf(c_0_676,plain,
( point_equal(d,f)
| incident(e,s)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_664,c_0_95]) ).
cnf(c_0_677,plain,
( point_equal(c,i)
| incident(d,s)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_665,c_0_48]) ).
cnf(c_0_678,plain,
( incident(i,X1)
| ~ incident(i,p)
| ~ incident(d,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_666]),c_0_667]) ).
cnf(c_0_679,plain,
( point_equal(e,f)
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_668,c_0_669]) ).
cnf(c_0_680,plain,
( ~ incident(e,n)
| ~ incident(e,s)
| ~ incident(h,X1)
| ~ incident(e,X1)
| ~ incident(f,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_562]),c_0_671]) ).
cnf(c_0_681,plain,
( point_equal(f,d)
| incident(X1,p)
| ~ incident(f,p)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_672]) ).
cnf(c_0_682,plain,
( line_equal(s,p)
| point_equal(a,f)
| ~ incident(f,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_674]),c_0_675]) ).
cnf(c_0_683,plain,
( line_equal(m,q)
| point_equal(d,e)
| ~ incident(d,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_129]),c_0_95])]) ).
cnf(c_0_684,plain,
( point_equal(f,d)
| incident(e,s)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_676]) ).
cnf(c_0_685,plain,
( incident(d,s)
| incident(c,X1)
| ~ incident(c,s)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_677]) ).
cnf(c_0_686,plain,
( incident(i,m)
| ~ incident(i,p) ),
inference(spm,[status(thm)],[c_0_678,c_0_129]) ).
cnf(c_0_687,plain,
( incident(e,X1)
| ~ incident(e,s)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_679]) ).
cnf(c_0_688,plain,
( ~ incident(e,n)
| ~ incident(e,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_247]),c_0_252]),c_0_158])]) ).
cnf(c_0_689,plain,
( line_equal(q,p)
| incident(c,s) ),
inference(sr,[status(thm)],[c_0_539,c_0_460]) ).
cnf(c_0_690,plain,
( point_equal(f,d)
| ~ incident(f,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_38]),c_0_653]) ).
cnf(c_0_691,plain,
( line_equal(p,s)
| point_equal(a,f)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_682]) ).
cnf(c_0_692,plain,
( point_equal(d,e)
| incident(X1,q)
| ~ incident(d,q)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_683]) ).
cnf(c_0_693,plain,
( line_equal(s,r)
| incident(d,q)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_512,c_0_59]) ).
cnf(c_0_694,plain,
( incident(e,s)
| incident(f,X1)
| ~ incident(d,s)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_684]) ).
cnf(c_0_695,plain,
( incident(d,s)
| ~ incident(c,s)
| ~ incident(i,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_686]),c_0_182]) ).
cnf(c_0_696,plain,
~ incident(e,s),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_65]),c_0_688]) ).
cnf(c_0_697,plain,
( incident(c,s)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_689]) ).
cnf(c_0_698,plain,
( point_equal(X1,d)
| ~ point_equal(X1,f)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_105,c_0_690]) ).
cnf(c_0_699,plain,
( point_equal(a,f)
| incident(X1,s)
| ~ incident(f,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_691]) ).
cnf(c_0_700,plain,
( incident(b,o)
| incident(f,r)
| incident(X1,p)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_459]) ).
cnf(c_0_701,plain,
( point_equal(d,e)
| incident(f,q)
| ~ incident(d,q) ),
inference(spm,[status(thm)],[c_0_692,c_0_96]) ).
cnf(c_0_702,plain,
( line_equal(s,r)
| incident(d,q) ),
inference(sr,[status(thm)],[c_0_693,c_0_460]) ).
cnf(c_0_703,plain,
( incident(f,X1)
| ~ incident(c,s)
| ~ incident(i,p)
| ~ incident(d,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_695]),c_0_696]) ).
cnf(c_0_704,plain,
( incident(i,p)
| incident(c,s)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_697,c_0_374]) ).
cnf(c_0_705,plain,
( incident(X1,X2)
| ~ point_equal(X1,f)
| ~ incident(f,p)
| ~ incident(d,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_698]) ).
cnf(c_0_706,plain,
( point_equal(a,f)
| ~ incident(f,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_118]),c_0_663]) ).
cnf(c_0_707,plain,
( incident(e,p)
| incident(f,r)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_700,c_0_158]) ).
cnf(c_0_708,plain,
( point_equal(e,d)
| incident(f,q)
| ~ incident(d,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_701]) ).
cnf(c_0_709,plain,
( incident(d,q)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_702]) ).
cnf(c_0_710,plain,
( ~ incident(c,s)
| ~ incident(i,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_59]),c_0_302]) ).
cnf(c_0_711,plain,
( incident(c,s)
| ~ incident(f,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_704]),c_0_633]) ).
cnf(c_0_712,plain,
( incident(a,X1)
| ~ incident(f,p)
| ~ incident(f,q)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_705,c_0_706]) ).
cnf(c_0_713,plain,
( incident(f,r)
| incident(e,p) ),
inference(sr,[status(thm)],[c_0_707,c_0_460]) ).
cnf(c_0_714,plain,
( incident(f,q)
| incident(e,X1)
| ~ incident(d,q)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_708]) ).
cnf(c_0_715,plain,
( incident(d,q)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_457]),c_0_445]) ).
cnf(c_0_716,plain,
( incident(f,r)
| ~ incident(f,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_477]),c_0_711]) ).
cnf(c_0_717,plain,
( ~ incident(f,p)
| ~ incident(f,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_129]),c_0_233]) ).
cnf(c_0_718,plain,
( incident(e,r)
| incident(f,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_713]),c_0_366]) ).
cnf(c_0_719,plain,
( incident(f,q)
| incident(e,X1)
| ~ incident(b,q)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_714,c_0_715]) ).
cnf(c_0_720,plain,
( line_equal(r,s)
| point_equal(f,i)
| ~ incident(f,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_716]),c_0_90]),c_0_55])]) ).
cnf(c_0_721,plain,
( incident(e,r)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_717,c_0_718]) ).
cnf(c_0_722,plain,
( incident(e,r)
| incident(f,q)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_719,c_0_48]) ).
cnf(c_0_723,plain,
( point_equal(X1,c)
| ~ point_equal(X1,a)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_105,c_0_398]) ).
cnf(c_0_724,plain,
( point_equal(f,a)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_706]) ).
cnf(c_0_725,plain,
( point_equal(f,i)
| incident(X1,s)
| ~ incident(f,q)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_720]) ).
cnf(c_0_726,plain,
( incident(e,r)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_721,c_0_722]) ).
cnf(c_0_727,plain,
( line_equal(o,n)
| point_equal(g,f)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_83]),c_0_71])]) ).
cnf(c_0_728,plain,
( point_equal(f,c)
| ~ incident(f,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_724]),c_0_711]) ).
cnf(c_0_729,plain,
( point_equal(f,i)
| ~ incident(f,q) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_726]),c_0_696]),c_0_675]) ).
cnf(c_0_730,plain,
( point_equal(g,f)
| incident(X1,n)
| ~ incident(f,o)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_727]) ).
cnf(c_0_731,plain,
( point_equal(X1,c)
| ~ point_equal(X1,f)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_105,c_0_728]) ).
cnf(c_0_732,plain,
( point_equal(i,f)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_729]) ).
cnf(c_0_733,plain,
( line_equal(s,r)
| incident(b,q) ),
inference(sr,[status(thm)],[c_0_523,c_0_460]) ).
cnf(c_0_734,plain,
( point_equal(g,f)
| incident(c,n)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_730,c_0_73]) ).
cnf(c_0_735,plain,
( line_equal(o,s)
| point_equal(c,i)
| ~ incident(i,o)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_117,c_0_73]) ).
cnf(c_0_736,plain,
( point_equal(i,c)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_737,plain,
( incident(b,q)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_733]) ).
cnf(c_0_738,plain,
( incident(c,n)
| incident(g,X1)
| ~ incident(f,o)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_734]) ).
cnf(c_0_739,plain,
point_equal(h,h),
inference(spm,[status(thm)],[c_0_139,c_0_252]) ).
cnf(c_0_740,plain,
( point_equal(c,i)
| incident(X1,s)
| ~ incident(i,o)
| ~ incident(c,s)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_735]) ).
cnf(c_0_741,plain,
( line_equal(s,r)
| line_equal(p,q) ),
inference(sr,[status(thm)],[c_0_429,c_0_460]) ).
cnf(c_0_742,plain,
( point_equal(c,i)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_736]) ).
cnf(c_0_743,plain,
( line_equal(n,o)
| point_equal(g,f)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_727]) ).
cnf(c_0_744,plain,
( incident(g,r)
| incident(b,q)
| ~ incident(f,o) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_738]),c_0_55])]),c_0_671]) ).
cnf(c_0_745,plain,
( incident(X1,esk2_2(h,X1))
| ~ point_equal(X1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_739]) ).
cnf(c_0_746,plain,
( point_equal(f,g)
| incident(c,n)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_734]) ).
cnf(c_0_747,plain,
( point_equal(c,i)
| incident(e,s)
| ~ incident(i,o)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_740,c_0_115]) ).
cnf(c_0_748,plain,
( line_equal(s,r)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_741]) ).
cnf(c_0_749,plain,
( incident(c,X1)
| ~ incident(f,q)
| ~ incident(i,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_742]) ).
cnf(c_0_750,plain,
( ~ incident(c,q)
| ~ incident(f,q) ),
inference(spm,[status(thm)],[c_0_307,c_0_374]) ).
cnf(c_0_751,plain,
( line_equal(X1,o)
| point_equal(g,f)
| ~ line_equal(X1,n)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_230,c_0_743]) ).
cnf(c_0_752,plain,
( incident(g,s)
| ~ incident(f,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_744]),c_0_492]) ).
cnf(c_0_753,plain,
( ~ incident(h,esk2_2(h,g))
| ~ incident(i,esk2_2(h,g)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_745]),c_0_172])]) ).
cnf(c_0_754,plain,
( incident(c,n)
| incident(f,X1)
| ~ incident(f,o)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_746]) ).
cnf(c_0_755,plain,
( point_equal(i,c)
| incident(e,s)
| ~ incident(i,o)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_747]) ).
cnf(c_0_756,plain,
( line_equal(s,r)
| incident(e,r)
| incident(f,q) ),
inference(spm,[status(thm)],[c_0_748,c_0_718]) ).
cnf(c_0_757,plain,
~ incident(f,q),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_374]),c_0_750]) ).
cnf(c_0_758,plain,
( line_equal(n,s)
| point_equal(g,f)
| ~ incident(g,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_71]),c_0_65])]) ).
cnf(c_0_759,plain,
( line_equal(X1,o)
| point_equal(X2,e)
| ~ incident(e,X1)
| ~ incident(X2,o)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_115]) ).
cnf(c_0_760,plain,
( line_equal(o,X1)
| point_equal(g,f)
| ~ line_equal(X1,n)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_751]) ).
cnf(c_0_761,plain,
( line_equal(s,n)
| point_equal(g,f)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_752]),c_0_55]),c_0_71])]) ).
cnf(c_0_762,plain,
( ~ incident(h,esk2_2(h,g))
| ~ incident(f,esk2_2(h,g))
| ~ incident(e,s) ),
inference(spm,[status(thm)],[c_0_753,c_0_562]) ).
cnf(c_0_763,plain,
( incident(f,esk2_2(h,g))
| incident(c,n)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_745]),c_0_172])]) ).
cnf(c_0_764,plain,
( point_equal(a,i)
| incident(e,s)
| ~ incident(c,s)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_515,c_0_755]) ).
cnf(c_0_765,plain,
( point_equal(g,c)
| incident(e,r)
| ~ incident(g,r) ),
inference(spm,[status(thm)],[c_0_505,c_0_115]) ).
cnf(c_0_766,plain,
( line_equal(s,r)
| incident(e,r) ),
inference(sr,[status(thm)],[c_0_756,c_0_757]) ).
cnf(c_0_767,plain,
( point_equal(g,f)
| incident(X1,s)
| ~ incident(g,s)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_758]) ).
cnf(c_0_768,plain,
( line_equal(m,o)
| point_equal(f,e)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_96]),c_0_95])]) ).
cnf(c_0_769,plain,
( line_equal(o,s)
| point_equal(g,f)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_760,c_0_761]) ).
cnf(c_0_770,plain,
( ~ incident(h,esk2_2(h,g))
| ~ incident(e,s)
| ~ incident(f,o) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_763]),c_0_671]) ).
cnf(c_0_771,plain,
( incident(X1,esk2_2(X1,g))
| ~ point_equal(X1,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_172]) ).
cnf(c_0_772,plain,
( point_equal(i,a)
| ~ incident(c,s)
| ~ incident(i,o) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_764]),c_0_696]) ).
cnf(c_0_773,plain,
( line_equal(o,s)
| point_equal(g,i)
| ~ incident(i,o)
| ~ incident(g,s) ),
inference(spm,[status(thm)],[c_0_117,c_0_83]) ).
cnf(c_0_774,plain,
( point_equal(c,g)
| incident(e,r)
| ~ incident(g,r) ),
inference(spm,[status(thm)],[c_0_53,c_0_765]) ).
cnf(c_0_775,plain,
( incident(e,r)
| incident(X1,r)
| ~ incident(X1,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_766]) ).
cnf(c_0_776,plain,
( point_equal(g,f)
| incident(b,s)
| ~ incident(g,s) ),
inference(spm,[status(thm)],[c_0_767,c_0_64]) ).
cnf(c_0_777,plain,
( point_equal(f,e)
| incident(X1,o)
| ~ incident(f,o)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_768]) ).
cnf(c_0_778,plain,
( point_equal(g,f)
| incident(X1,s)
| ~ incident(f,o)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_769]) ).
cnf(c_0_779,plain,
( ~ incident(e,s)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_771]),c_0_739])]) ).
cnf(c_0_780,plain,
( point_equal(a,i)
| ~ incident(c,s)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_772]) ).
cnf(c_0_781,plain,
( point_equal(g,i)
| incident(X1,s)
| ~ incident(i,o)
| ~ incident(g,s)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_773]) ).
cnf(c_0_782,plain,
( line_equal(s,r)
| point_equal(i,d)
| ~ incident(d,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_102]),c_0_90])]) ).
cnf(c_0_783,plain,
( incident(e,r)
| incident(c,X1)
| ~ incident(g,r)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_774]) ).
cnf(c_0_784,plain,
( incident(g,r)
| ~ incident(b,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_136]),c_0_343]) ).
cnf(c_0_785,plain,
( point_equal(f,g)
| incident(b,s)
| ~ incident(g,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_776]) ).
cnf(c_0_786,plain,
( point_equal(f,e)
| incident(d,o)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_777,c_0_129]) ).
cnf(c_0_787,plain,
( point_equal(g,f)
| ~ incident(f,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_778,c_0_115]),c_0_779]) ).
cnf(c_0_788,plain,
( point_equal(X1,i)
| ~ point_equal(X1,a)
| ~ incident(c,s)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_105,c_0_780]) ).
cnf(c_0_789,plain,
( point_equal(X1,a)
| ~ point_equal(X1,i)
| ~ incident(c,s)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_105,c_0_772]) ).
cnf(c_0_790,plain,
( point_equal(g,i)
| incident(e,s)
| ~ incident(i,o)
| ~ incident(g,s) ),
inference(spm,[status(thm)],[c_0_781,c_0_115]) ).
cnf(c_0_791,plain,
( point_equal(g,i)
| incident(c,s)
| ~ incident(i,o)
| ~ incident(g,s) ),
inference(spm,[status(thm)],[c_0_781,c_0_73]) ).
cnf(c_0_792,plain,
( line_equal(X1,n)
| point_equal(X2,b)
| ~ incident(b,X1)
| ~ incident(X2,n)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_64]) ).
cnf(c_0_793,plain,
( line_equal(s,n)
| point_equal(a,f)
| ~ incident(a,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_175]),c_0_55])]) ).
cnf(c_0_794,plain,
( line_equal(r,s)
| point_equal(i,d)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_202,c_0_782]) ).
cnf(c_0_795,plain,
( incident(e,r)
| incident(c,X1)
| ~ incident(b,s)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_783,c_0_784]) ).
cnf(c_0_796,plain,
( incident(b,s)
| incident(f,X1)
| ~ incident(g,s)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_785]) ).
cnf(c_0_797,plain,
( incident(g,s)
| ~ incident(d,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_296]),c_0_492]) ).
cnf(c_0_798,plain,
( point_equal(e,f)
| incident(d,o)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_786]) ).
cnf(c_0_799,plain,
( incident(g,X1)
| ~ incident(f,o)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_787]) ).
cnf(c_0_800,plain,
( point_equal(i,X1)
| ~ point_equal(X1,a)
| ~ incident(c,s)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_788]) ).
cnf(c_0_801,plain,
( point_equal(g,a)
| ~ incident(c,s)
| ~ incident(i,o)
| ~ incident(g,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_790]),c_0_696]) ).
cnf(c_0_802,plain,
( point_equal(i,g)
| incident(c,s)
| ~ incident(i,o)
| ~ incident(g,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_791]) ).
cnf(c_0_803,plain,
( line_equal(p,n)
| point_equal(g,b)
| ~ incident(d,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_162]),c_0_58]),c_0_71])]) ).
cnf(c_0_804,plain,
( line_equal(n,s)
| point_equal(a,f)
| ~ incident(a,n) ),
inference(spm,[status(thm)],[c_0_202,c_0_793]) ).
cnf(c_0_805,plain,
( point_equal(f,g)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_787]) ).
cnf(c_0_806,plain,
( point_equal(i,d)
| incident(X1,s)
| ~ incident(d,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_794]) ).
cnf(c_0_807,plain,
( incident(e,r)
| ~ incident(b,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_795,c_0_71]),c_0_671]) ).
cnf(c_0_808,plain,
( incident(b,s)
| incident(f,X1)
| ~ incident(d,o)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_796,c_0_797]) ).
cnf(c_0_809,plain,
( incident(d,o)
| incident(e,X1)
| ~ incident(f,o)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_798]) ).
cnf(c_0_810,plain,
( ~ incident(f,o)
| ~ incident(h,X1)
| ~ incident(i,X1)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_799]) ).
cnf(c_0_811,plain,
( point_equal(i,g)
| ~ incident(i,o)
| ~ incident(g,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_801]),c_0_802]) ).
cnf(c_0_812,plain,
( line_equal(p,n)
| point_equal(b,g)
| ~ incident(g,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_58]),c_0_64])]) ).
cnf(c_0_813,plain,
( point_equal(b,d)
| incident(f,p)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_110,c_0_65]) ).
cnf(c_0_814,plain,
( line_equal(n,p)
| point_equal(g,b)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_202,c_0_803]) ).
cnf(c_0_815,plain,
( point_equal(a,f)
| incident(X1,s)
| ~ incident(a,n)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_804]) ).
cnf(c_0_816,plain,
( point_equal(X1,g)
| ~ point_equal(X1,f)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_105,c_0_805]) ).
cnf(c_0_817,plain,
( point_equal(X1,f)
| incident(e,s)
| ~ point_equal(X1,d)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_105,c_0_676]) ).
cnf(c_0_818,plain,
( point_equal(i,d)
| ~ incident(d,s)
| ~ incident(b,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_807]),c_0_696]) ).
cnf(c_0_819,plain,
( incident(f,q)
| incident(b,s)
| ~ incident(d,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_808,c_0_288]),c_0_652]) ).
cnf(c_0_820,plain,
( incident(e,s)
| incident(d,o)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_809,c_0_55]) ).
cnf(c_0_821,plain,
( ~ incident(f,o)
| ~ incident(f,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_374]),c_0_252])]) ).
cnf(c_0_822,plain,
( incident(i,X1)
| ~ incident(i,o)
| ~ incident(g,s)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_811]) ).
cnf(c_0_823,plain,
( line_equal(n,p)
| point_equal(b,g)
| ~ incident(g,p) ),
inference(spm,[status(thm)],[c_0_202,c_0_812]) ).
cnf(c_0_824,plain,
( point_equal(X1,d)
| incident(f,p)
| ~ point_equal(X1,b)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_105,c_0_813]) ).
cnf(c_0_825,plain,
( point_equal(g,b)
| incident(X1,p)
| ~ incident(d,n)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_814]) ).
cnf(c_0_826,plain,
( line_equal(r,n)
| point_equal(d,g)
| ~ incident(g,r)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_82,c_0_48]) ).
cnf(c_0_827,plain,
( point_equal(a,f)
| incident(g,s)
| ~ incident(a,n) ),
inference(spm,[status(thm)],[c_0_815,c_0_71]) ).
cnf(c_0_828,plain,
( point_equal(g,X1)
| ~ point_equal(X1,f)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_816]) ).
cnf(c_0_829,plain,
( point_equal(i,f)
| ~ incident(d,s)
| ~ incident(b,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_817,c_0_818]),c_0_696]) ).
cnf(c_0_830,plain,
( incident(b,s)
| ~ incident(f,o) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_820]),c_0_696]),c_0_821]) ).
cnf(c_0_831,plain,
( incident(i,X1)
| ~ incident(i,o)
| ~ incident(f,o)
| ~ incident(g,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_799]),c_0_55])]) ).
cnf(c_0_832,plain,
( point_equal(b,g)
| incident(X1,p)
| ~ incident(g,p)
| ~ incident(X1,n) ),
inference(spm,[status(thm)],[c_0_42,c_0_823]) ).
cnf(c_0_833,plain,
( point_equal(d,X1)
| incident(f,p)
| ~ point_equal(X1,b)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_53,c_0_824]) ).
cnf(c_0_834,plain,
( point_equal(g,b)
| incident(f,p)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_825,c_0_65]) ).
cnf(c_0_835,plain,
( line_equal(r,s)
| point_equal(f,i)
| ~ incident(f,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_484]),c_0_90]),c_0_55])]) ).
cnf(c_0_836,plain,
( point_equal(d,g)
| incident(X1,n)
| ~ incident(g,r)
| ~ incident(d,n)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_826]) ).
cnf(c_0_837,plain,
( incident(g,s)
| incident(a,X1)
| ~ incident(a,n)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_827]) ).
cnf(c_0_838,plain,
( point_equal(g,i)
| ~ incident(f,o)
| ~ incident(d,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_828,c_0_829]),c_0_830]) ).
cnf(c_0_839,plain,
( incident(i,esk2_2(h,g))
| ~ incident(i,o)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_745]),c_0_172])]) ).
cnf(c_0_840,plain,
( incident(f,X1)
| ~ incident(f,o)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_805]) ).
cnf(c_0_841,plain,
( point_equal(b,g)
| incident(f,p)
| ~ incident(g,p) ),
inference(spm,[status(thm)],[c_0_832,c_0_65]) ).
cnf(c_0_842,plain,
( point_equal(d,g)
| incident(f,p)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_833,c_0_834]) ).
cnf(c_0_843,plain,
( point_equal(f,i)
| incident(X1,s)
| ~ incident(f,p)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_835]) ).
cnf(c_0_844,plain,
( line_equal(r,n)
| point_equal(i,g)
| ~ incident(g,r)
| ~ incident(i,n) ),
inference(spm,[status(thm)],[c_0_82,c_0_90]) ).
cnf(c_0_845,plain,
( point_equal(d,g)
| ~ incident(g,r)
| ~ incident(d,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_836,c_0_38]),c_0_671]) ).
cnf(c_0_846,plain,
( incident(g,s)
| ~ incident(a,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_96]),c_0_233]) ).
cnf(c_0_847,plain,
( point_equal(i,g)
| ~ incident(f,o)
| ~ incident(d,s) ),
inference(spm,[status(thm)],[c_0_53,c_0_838]) ).
cnf(c_0_848,plain,
( ~ incident(h,esk2_2(h,g))
| ~ incident(i,o)
| ~ incident(f,o) ),
inference(spm,[status(thm)],[c_0_753,c_0_839]) ).
cnf(c_0_849,plain,
( point_equal(i,f)
| ~ incident(f,r)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_726]),c_0_696]) ).
cnf(c_0_850,plain,
( incident(f,r)
| ~ incident(f,o)
| ~ incident(d,o) ),
inference(spm,[status(thm)],[c_0_840,c_0_296]) ).
cnf(c_0_851,plain,
( incident(f,p)
| incident(b,X1)
| ~ incident(g,p)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_841]) ).
cnf(c_0_852,plain,
( incident(f,p)
| incident(d,X1)
| ~ incident(d,n)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_842]) ).
cnf(c_0_853,plain,
( line_equal(p,q)
| incident(d,s) ),
inference(sr,[status(thm)],[c_0_534,c_0_460]) ).
cnf(c_0_854,plain,
( point_equal(f,i)
| incident(d,s)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_843,c_0_48]) ).
cnf(c_0_855,plain,
( point_equal(i,g)
| incident(X1,n)
| ~ incident(g,r)
| ~ incident(i,n)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_844]) ).
cnf(c_0_856,plain,
( incident(i,X1)
| ~ incident(i,o)
| ~ incident(d,o)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_822,c_0_797]) ).
cnf(c_0_857,plain,
( line_equal(r,s)
| incident(b,o)
| incident(d,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_693]) ).
cnf(c_0_858,plain,
( incident(d,X1)
| ~ incident(g,r)
| ~ incident(d,n)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_845]) ).
cnf(c_0_859,plain,
( incident(g,r)
| ~ incident(a,n) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_846]),c_0_343]) ).
cnf(c_0_860,plain,
( incident(i,X1)
| ~ incident(f,o)
| ~ incident(d,s)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_847]) ).
cnf(c_0_861,plain,
( ~ incident(i,o)
| ~ incident(f,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_771]),c_0_739])]) ).
cnf(c_0_862,plain,
( incident(i,X1)
| ~ incident(f,r)
| ~ incident(b,q)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_849]) ).
cnf(c_0_863,plain,
( incident(f,r)
| ~ incident(f,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_850,c_0_820]),c_0_779]) ).
cnf(c_0_864,plain,
( incident(f,p)
| incident(b,X1)
| ~ incident(d,n)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_851,c_0_162]) ).
cnf(c_0_865,plain,
( incident(d,o)
| incident(f,p)
| ~ incident(d,n) ),
inference(spm,[status(thm)],[c_0_852,c_0_83]) ).
cnf(c_0_866,plain,
( incident(d,s)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_853]) ).
cnf(c_0_867,plain,
( point_equal(i,f)
| incident(d,s)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_854]) ).
cnf(c_0_868,plain,
( point_equal(i,g)
| ~ incident(g,r)
| ~ incident(i,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_855,c_0_38]),c_0_671]) ).
cnf(c_0_869,plain,
( incident(i,esk2_2(h,g))
| ~ incident(i,o)
| ~ incident(d,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_745]),c_0_172])]) ).
cnf(c_0_870,plain,
( line_equal(r,s)
| incident(d,q) ),
inference(sr,[status(thm)],[c_0_857,c_0_460]) ).
cnf(c_0_871,plain,
( incident(d,X1)
| ~ incident(d,n)
| ~ incident(a,n)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_858,c_0_859]) ).
cnf(c_0_872,plain,
( ~ incident(f,o)
| ~ incident(d,s) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_860,c_0_83]),c_0_861]) ).
cnf(c_0_873,plain,
( ~ incident(f,o)
| ~ incident(b,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_861,c_0_862]),c_0_863]) ).
cnf(c_0_874,plain,
( incident(b,s)
| incident(f,p)
| ~ incident(d,n) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_797]),c_0_865]) ).
cnf(c_0_875,plain,
( incident(e,r)
| incident(f,q)
| incident(d,s) ),
inference(spm,[status(thm)],[c_0_866,c_0_718]) ).
cnf(c_0_876,plain,
( incident(d,s)
| incident(i,X1)
| ~ incident(f,p)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_705,c_0_867]) ).
cnf(c_0_877,plain,
( incident(i,X1)
| ~ incident(g,r)
| ~ incident(i,n)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_868]) ).
cnf(c_0_878,plain,
( ~ incident(h,esk2_2(h,g))
| ~ incident(i,o)
| ~ incident(d,o) ),
inference(spm,[status(thm)],[c_0_753,c_0_869]) ).
cnf(c_0_879,plain,
( incident(d,q)
| incident(X1,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_870]) ).
cnf(c_0_880,plain,
( line_equal(q,p)
| line_equal(r,s)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_442]) ).
cnf(c_0_881,plain,
( incident(f,X1)
| ~ incident(f,p)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_690]) ).
cnf(c_0_882,plain,
( incident(d,o)
| ~ incident(d,n)
| ~ incident(a,n) ),
inference(spm,[status(thm)],[c_0_871,c_0_83]) ).
cnf(c_0_883,plain,
~ incident(f,o),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_662]),c_0_873]) ).
cnf(c_0_884,plain,
( incident(f,p)
| ~ incident(d,n) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_784]),c_0_445]),c_0_874]) ).
cnf(c_0_885,plain,
( incident(e,s)
| incident(d,X1)
| ~ incident(d,s)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_676]) ).
cnf(c_0_886,plain,
( incident(d,s)
| incident(e,r) ),
inference(sr,[status(thm)],[c_0_875,c_0_757]) ).
cnf(c_0_887,plain,
( line_equal(X1,r)
| point_equal(X2,i)
| ~ incident(i,X1)
| ~ incident(X2,r)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_90]) ).
cnf(c_0_888,plain,
( incident(d,s)
| ~ incident(f,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_876,c_0_59]),c_0_302]) ).
cnf(c_0_889,plain,
( line_equal(o,p)
| point_equal(g,h)
| ~ incident(h,o)
| ~ incident(g,p) ),
inference(spm,[status(thm)],[c_0_239,c_0_83]) ).
cnf(c_0_890,plain,
( incident(i,X1)
| ~ incident(i,n)
| ~ incident(d,o)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_877,c_0_296]) ).
cnf(c_0_891,plain,
( ~ incident(i,o)
| ~ incident(d,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_878,c_0_771]),c_0_739])]) ).
cnf(c_0_892,plain,
( incident(f,q)
| incident(d,X1)
| ~ incident(d,q)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_701]) ).
cnf(c_0_893,plain,
( incident(d,q)
| ~ incident(b,s) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_879,c_0_807]),c_0_696]) ).
cnf(c_0_894,plain,
( line_equal(r,s)
| line_equal(q,p) ),
inference(sr,[status(thm)],[c_0_880,c_0_460]) ).
cnf(c_0_895,plain,
( ~ incident(d,n)
| ~ incident(a,n) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_882]),c_0_883]),c_0_884]) ).
cnf(c_0_896,plain,
( incident(e,r)
| incident(d,X1)
| ~ incident(f,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_885,c_0_886]),c_0_696]) ).
cnf(c_0_897,plain,
( line_equal(q,m)
| point_equal(d,e)
| ~ incident(b,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_715]),c_0_158]),c_0_129])]) ).
cnf(c_0_898,plain,
( line_equal(s,r)
| point_equal(d,i)
| ~ incident(f,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_888]),c_0_102]),c_0_48])]) ).
cnf(c_0_899,plain,
( point_equal(g,h)
| incident(X1,p)
| ~ incident(h,o)
| ~ incident(g,p)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_889]) ).
cnf(c_0_900,plain,
( ~ incident(i,n)
| ~ incident(d,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_890,c_0_83]),c_0_891]) ).
cnf(c_0_901,plain,
( incident(d,X1)
| ~ incident(b,s)
| ~ incident(e,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_892,c_0_893]),c_0_757]) ).
cnf(c_0_902,plain,
( point_equal(i,f)
| incident(c,s)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_267,c_0_38]) ).
cnf(c_0_903,plain,
( line_equal(q,p)
| incident(X1,s)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_894]) ).
cnf(c_0_904,plain,
( incident(e,r)
| ~ incident(a,n) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_896]),c_0_65])]) ).
cnf(c_0_905,plain,
( incident(c,X1)
| ~ incident(a,r)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_559]) ).
cnf(c_0_906,plain,
( line_equal(m,q)
| point_equal(d,e)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_202,c_0_897]) ).
cnf(c_0_907,plain,
( line_equal(r,s)
| point_equal(d,i)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_202,c_0_898]) ).
cnf(c_0_908,plain,
( point_equal(g,h)
| ~ incident(h,o)
| ~ incident(g,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_73]),c_0_653]) ).
cnf(c_0_909,plain,
( ~ incident(i,n)
| ~ incident(b,s) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_901]),c_0_115])]) ).
cnf(c_0_910,plain,
( incident(c,s)
| incident(i,X1)
| ~ incident(f,r)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_902]) ).
cnf(c_0_911,plain,
( line_equal(q,p)
| ~ incident(a,n) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_903,c_0_904]),c_0_696]) ).
cnf(c_0_912,plain,
( incident(a,p)
| incident(c,X1)
| ~ incident(a,X1) ),
inference(spm,[status(thm)],[c_0_905,c_0_623]) ).
cnf(c_0_913,plain,
( line_equal(o,r)
| point_equal(c,i)
| ~ incident(i,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_73]),c_0_38])]) ).
cnf(c_0_914,plain,
( point_equal(d,e)
| incident(X1,q)
| ~ incident(b,q)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_42,c_0_906]) ).
cnf(c_0_915,plain,
( point_equal(d,i)
| incident(X1,s)
| ~ incident(f,p)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_907]) ).
cnf(c_0_916,plain,
( point_equal(h,g)
| ~ incident(h,o)
| ~ incident(g,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_908]) ).
cnf(c_0_917,plain,
( incident(X1,esk2_2(i,X1))
| ~ point_equal(X1,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_157]) ).
cnf(c_0_918,plain,
( line_equal(r,s)
| point_equal(c,f)
| ~ incident(f,r)
| ~ incident(c,s) ),
inference(spm,[status(thm)],[c_0_63,c_0_38]) ).
cnf(c_0_919,plain,
( incident(c,s)
| ~ incident(f,r) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_910]),c_0_65])]),c_0_633]) ).
cnf(c_0_920,plain,
( line_equal(s,r)
| point_equal(g,i)
| ~ incident(d,o) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_887,c_0_797]),c_0_102])]),c_0_296]) ).
cnf(c_0_921,plain,
( line_equal(p,q)
| ~ incident(a,n) ),
inference(spm,[status(thm)],[c_0_202,c_0_911]) ).
cnf(c_0_922,plain,
( incident(a,X1)
| ~ incident(a,p)
| ~ incident(b,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_473]) ).
cnf(c_0_923,plain,
( incident(c,q)
| incident(a,p) ),
inference(spm,[status(thm)],[c_0_912,c_0_141]) ).
cnf(c_0_924,plain,
( point_equal(c,i)
| incident(X1,r)
| ~ incident(i,o)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_913]) ).
cnf(c_0_925,plain,
( point_equal(d,e)
| incident(f,q)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_914,c_0_96]) ).
cnf(c_0_926,plain,
( point_equal(d,i)
| ~ incident(f,p)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_726]),c_0_696]) ).
cnf(c_0_927,plain,
( incident(h,X1)
| ~ incident(h,o)
| ~ incident(g,p)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_916]) ).
cnf(c_0_928,plain,
( ~ incident(h,esk2_2(i,g))
| ~ incident(i,esk2_2(i,g)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_917]),c_0_172])]) ).
cnf(c_0_929,plain,
( point_equal(d,h)
| incident(f,p)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_331,c_0_96]) ).
cnf(c_0_930,plain,
( point_equal(c,f)
| incident(X1,s)
| ~ incident(f,r)
| ~ incident(X1,r) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_918]),c_0_919]) ).
cnf(c_0_931,plain,
( line_equal(r,s)
| point_equal(g,i)
| ~ incident(d,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_920]) ).
cnf(c_0_932,plain,
( incident(X1,q)
| ~ incident(a,n)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_921]) ).
cnf(c_0_933,plain,
( incident(c,q)
| incident(a,X1)
| ~ incident(b,X1) ),
inference(spm,[status(thm)],[c_0_922,c_0_923]) ).
cnf(c_0_934,plain,
( point_equal(c,i)
| incident(e,r)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_924,c_0_115]) ).
cnf(c_0_935,plain,
( point_equal(f,i)
| ~ incident(f,p)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_843,c_0_726]),c_0_696]) ).
cnf(c_0_936,plain,
( point_equal(X1,e)
| incident(f,q)
| ~ point_equal(X1,d)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_105,c_0_925]) ).
cnf(c_0_937,plain,
( point_equal(i,d)
| ~ incident(f,p)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_926]) ).
cnf(c_0_938,plain,
( line_equal(X1,p)
| ~ line_equal(X1,q)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_230,c_0_660]) ).
cnf(c_0_939,plain,
( incident(h,X1)
| ~ incident(h,o)
| ~ incident(d,n)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_927,c_0_162]) ).
cnf(c_0_940,plain,
~ incident(h,esk2_2(i,g)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_928,c_0_771]),c_0_157])]) ).
cnf(c_0_941,plain,
( point_equal(d,f)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_690]) ).
cnf(c_0_942,plain,
( point_equal(h,d)
| incident(f,p)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_53,c_0_929]) ).
cnf(c_0_943,plain,
( point_equal(c,f)
| incident(d,s)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_930,c_0_48]) ).
cnf(c_0_944,plain,
( point_equal(g,i)
| incident(X1,s)
| ~ incident(d,o)
| ~ incident(X1,r) ),
inference(spm,[status(thm)],[c_0_42,c_0_931]) ).
cnf(c_0_945,plain,
( incident(c,q)
| incident(X1,q)
| ~ incident(X1,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_933]),c_0_64])]) ).
cnf(c_0_946,plain,
( point_equal(i,c)
| incident(e,r)
| ~ incident(i,o) ),
inference(spm,[status(thm)],[c_0_53,c_0_934]) ).
cnf(c_0_947,plain,
( point_equal(i,f)
| ~ incident(f,p)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_935]) ).
cnf(c_0_948,plain,
( point_equal(i,e)
| ~ incident(b,q)
| ~ incident(f,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_936,c_0_937]),c_0_757]) ).
cnf(c_0_949,plain,
( incident(X1,p)
| ~ line_equal(X2,q)
| ~ incident(b,q)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_938]) ).
cnf(c_0_950,plain,
( line_equal(o,p)
| point_equal(e,h)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_239,c_0_115]) ).
cnf(c_0_951,plain,
( ~ incident(h,o)
| ~ incident(d,n) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_939,c_0_917]),c_0_172])]),c_0_940]) ).
cnf(c_0_952,plain,
( incident(d,X1)
| ~ incident(f,p)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_941]) ).
cnf(c_0_953,plain,
( incident(f,p)
| incident(h,X1)
| ~ incident(h,m)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_942]) ).
cnf(c_0_954,plain,
( incident(d,s)
| incident(c,X1)
| ~ incident(f,r)
| ~ incident(f,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_943]) ).
cnf(c_0_955,plain,
( point_equal(g,i)
| ~ incident(d,o)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_944,c_0_726]),c_0_696]) ).
cnf(c_0_956,plain,
( incident(d,q)
| incident(c,q) ),
inference(spm,[status(thm)],[c_0_945,c_0_59]) ).
cnf(c_0_957,plain,
( incident(i,X1)
| ~ incident(i,o)
| ~ incident(e,r)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_822,c_0_587]) ).
cnf(c_0_958,plain,
( incident(e,r)
| incident(i,X1)
| ~ incident(i,o)
| ~ incident(c,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_946]) ).
cnf(c_0_959,plain,
( point_equal(X1,f)
| ~ point_equal(X1,i)
| ~ incident(f,p)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_105,c_0_947]) ).
cnf(c_0_960,plain,
( point_equal(e,i)
| ~ incident(b,q)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_948]) ).
cnf(c_0_961,plain,
( point_equal(d,e)
| incident(X1,p)
| ~ incident(b,q)
| ~ incident(X1,m) ),
inference(spm,[status(thm)],[c_0_949,c_0_906]) ).
cnf(c_0_962,plain,
( point_equal(e,h)
| incident(X1,p)
| ~ incident(h,o)
| ~ incident(e,p)
| ~ incident(X1,o) ),
inference(spm,[status(thm)],[c_0_42,c_0_950]) ).
cnf(c_0_963,plain,
( ~ incident(h,o)
| ~ incident(f,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_951,c_0_952]),c_0_65])]) ).
cnf(c_0_964,plain,
( incident(h,r)
| incident(f,p)
| ~ incident(h,m) ),
inference(spm,[status(thm)],[c_0_953,c_0_48]) ).
cnf(c_0_965,plain,
( incident(d,s)
| ~ incident(f,r) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_954,c_0_65]),c_0_671]) ).
cnf(c_0_966,plain,
( point_equal(i,g)
| ~ incident(d,o)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_53,c_0_955]) ).
cnf(c_0_967,plain,
( incident(c,q)
| incident(d,X1)
| ~ incident(e,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_892,c_0_956]),c_0_757]) ).
cnf(c_0_968,plain,
( ~ incident(i,o)
| ~ incident(c,q) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_957,c_0_288]),c_0_958]),c_0_307]) ).
cnf(c_0_969,plain,
( point_equal(d,X1)
| ~ point_equal(X1,f)
| ~ incident(f,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_698]) ).
cnf(c_0_970,plain,
( point_equal(e,f)
| ~ incident(f,p)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_959,c_0_960]) ).
cnf(c_0_971,plain,
( point_equal(d,e)
| incident(f,p)
| ~ incident(b,q) ),
inference(spm,[status(thm)],[c_0_961,c_0_96]) ).
cnf(c_0_972,plain,
( line_equal(X1,o)
| point_equal(X2,g)
| ~ incident(g,X1)
| ~ incident(X2,o)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_83]) ).
cnf(c_0_973,plain,
( point_equal(e,h)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_962,c_0_73]),c_0_653]) ).
cnf(c_0_974,plain,
( ~ incident(h,o)
| ~ incident(h,m) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_963,c_0_964]),c_0_648]) ).
cnf(c_0_975,plain,
( incident(f,X1)
| ~ incident(f,r)
| ~ incident(d,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_965]),c_0_696]) ).
cnf(c_0_976,plain,
( incident(f,r)
| incident(b,q)
| incident(b,o) ),
inference(spm,[status(thm)],[c_0_560,c_0_55]) ).
cnf(c_0_977,plain,
( incident(i,X1)
| ~ incident(d,o)
| ~ incident(b,q)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_966]) ).
cnf(c_0_978,plain,
~ incident(i,o),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_967]),c_0_115])]),c_0_968]) ).
cnf(c_0_979,plain,
( point_equal(d,e)
| ~ incident(b,q) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_969,c_0_970]),c_0_971]) ).
cnf(c_0_980,plain,
( line_equal(q,o)
| point_equal(a,g)
| ~ incident(g,q)
| ~ incident(a,o) ),
inference(spm,[status(thm)],[c_0_972,c_0_141]) ).
cnf(c_0_981,plain,
( point_equal(X1,h)
| ~ point_equal(X1,e)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_105,c_0_973]) ).
cnf(c_0_982,plain,
( incident(b,q)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_389]),c_0_95])]) ).
cnf(c_0_983,plain,
( incident(f,p)
| ~ incident(f,r) ),
inference(spm,[status(thm)],[c_0_975,c_0_59]) ).
cnf(c_0_984,plain,
( incident(b,q)
| incident(f,r) ),
inference(sr,[status(thm)],[c_0_976,c_0_460]) ).
cnf(c_0_985,plain,
( ~ incident(d,o)
| ~ incident(b,q) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_977,c_0_83]),c_0_978]) ).
cnf(c_0_986,plain,
( incident(d,X1)
| ~ incident(b,q)
| ~ incident(e,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_979]) ).
cnf(c_0_987,plain,
( line_equal(o,q)
| point_equal(a,g)
| ~ incident(a,o) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_980]),c_0_354]) ).
cnf(c_0_988,plain,
( point_equal(h,X1)
| ~ point_equal(X1,e)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_981]) ).
cnf(c_0_989,plain,
( incident(b,q)
| ~ incident(e,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_982,c_0_389]),c_0_115])]) ).
cnf(c_0_990,plain,
( line_equal(p,q)
| point_equal(h,a)
| ~ incident(a,p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_118]),c_0_252])]) ).
cnf(c_0_991,plain,
( incident(b,q)
| incident(f,p) ),
inference(spm,[status(thm)],[c_0_983,c_0_984]) ).
cnf(c_0_992,plain,
~ incident(b,q),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_985,c_0_986]),c_0_115])]) ).
cnf(c_0_993,plain,
( line_equal(q,o)
| point_equal(a,g)
| ~ incident(a,o) ),
inference(spm,[status(thm)],[c_0_202,c_0_987]) ).
cnf(c_0_994,plain,
( point_equal(h,d)
| ~ incident(h,o)
| ~ incident(e,p) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_988,c_0_979]),c_0_989]) ).
cnf(c_0_995,plain,
( point_equal(h,a)
| incident(X1,q)
| ~ incident(a,p)
| ~ incident(X1,p) ),
inference(spm,[status(thm)],[c_0_42,c_0_990]) ).
cnf(c_0_996,plain,
incident(f,p),
inference(sr,[status(thm)],[c_0_991,c_0_992]) ).
cnf(c_0_997,plain,
( point_equal(a,g)
| incident(X1,o)
| ~ incident(a,o)
| ~ incident(X1,q) ),
inference(spm,[status(thm)],[c_0_42,c_0_993]) ).
cnf(c_0_998,plain,
( incident(h,X1)
| ~ incident(h,o)
| ~ incident(e,p)
| ~ incident(d,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_994]) ).
cnf(c_0_999,plain,
( point_equal(h,a)
| ~ incident(a,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_995,c_0_996]),c_0_757]) ).
cnf(c_0_1000,plain,
( point_equal(a,g)
| incident(X1,o)
| ~ incident(c,s)
| ~ incident(X1,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_997,c_0_416]),c_0_73])]) ).
cnf(c_0_1001,plain,
incident(c,s),
inference(sr,[status(thm)],[c_0_453,c_0_992]) ).
cnf(c_0_1002,plain,
( incident(e,p)
| incident(f,p) ),
inference(spm,[status(thm)],[c_0_983,c_0_713]) ).
cnf(c_0_1003,plain,
( ~ incident(h,o)
| ~ incident(e,p) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_998,c_0_48]),c_0_648]) ).
cnf(c_0_1004,plain,
( point_equal(h,b)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_479,c_0_999]) ).
cnf(c_0_1005,plain,
( point_equal(a,g)
| incident(X1,o)
| ~ incident(X1,q) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1000,c_0_1001])]) ).
cnf(c_0_1006,plain,
~ incident(h,o),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_963,c_0_1002]),c_0_1003]) ).
cnf(c_0_1007,plain,
( point_equal(b,h)
| ~ incident(a,p) ),
inference(spm,[status(thm)],[c_0_53,c_0_1004]) ).
cnf(c_0_1008,plain,
point_equal(a,g),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1005,c_0_252]),c_0_1006]) ).
cnf(c_0_1009,plain,
( incident(b,X1)
| ~ incident(a,p)
| ~ incident(h,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_1007]) ).
cnf(c_0_1010,plain,
( incident(a,X1)
| ~ incident(g,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_1008]) ).
cnf(c_0_1011,plain,
incident(g,p),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_996])]) ).
cnf(c_0_1012,plain,
~ incident(a,p),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_252]),c_0_992]) ).
cnf(c_0_1013,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1010,c_0_1011]),c_0_1012]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.22 % Problem : GEO168+1 : TPTP v9.2.1. Released v3.2.0.
% 0.03/0.22 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.47 % Computer : n005.cluster.edu
% 0.11/0.47 % Model : x86_64 x86_64
% 0.11/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.47 % Memory : 8042.1875MB
% 0.11/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.47 % CPULimit : 300
% 0.11/0.47 % WCLimit : 300
% 0.11/0.47 % DateTime : Mon May 4 17:45:00 EDT 2026
% 0.11/0.47 % CPUTime :
% 0.11/0.48 % start to proof: theBenchmark
% 248.98/158.08 % Version : CSE_E---1.7
% 248.98/158.08 % Problem : theBenchmark.p
% 248.98/158.08 % SZS status Theorem for theBenchmark.p
% 248.98/158.08 % SZS output start CNFRefutation
% See solution above
% 249.86/158.97 % Total time : 127.006s
%------------------------------------------------------------------------------