TSTP Solution File: GEO169+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:04:02 EDT 2022
% Result : Theorem 0.10s 1.30s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goal_to_be_proved) ).
fof(t2in1,axiom,
( ( incident(a2,b1c1)
& incident(b2,a1c1)
& incident(c2,a1b1) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t2in1) ).
fof(gap_c,axiom,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gap_c) ).
fof(unique,axiom,
! [X1,X2,X3,X4] :
( ( incident(X1,X3)
& incident(X1,X4)
& incident(X2,X3)
& incident(X2,X4) )
=> ( point_equal(X1,X2)
| line_equal(X3,X4) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',unique) ).
fof(gap_a,axiom,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gap_a) ).
fof(pcon,axiom,
! [X1,X2,X3] :
( ( point_equal(X1,X2)
& incident(X2,X3) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',pcon) ).
fof(gap_b,axiom,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gap_b) ).
fof(lcon,axiom,
! [X1,X2,X3] :
( ( incident(X1,X2)
& line_equal(X2,X3) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',lcon) ).
fof(ib2ob,axiom,
incident(b2,ob),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ib2ob) ).
fof(ib2a2,axiom,
incident(b2,a2b2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ib2a2) ).
fof(ic1a1,axiom,
incident(c1,a1c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ic1a1) ).
fof(ia2b2,axiom,
incident(a2,a2b2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ia2b2) ).
fof(notaa,axiom,
( point_equal(a2,a1)
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',notaa) ).
fof(symmetry_of_point_equal,axiom,
! [X1,X2] :
( point_equal(X1,X2)
=> point_equal(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',symmetry_of_point_equal) ).
fof(ia1oa,axiom,
incident(a1,oa),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ia1oa) ).
fof(ic1oc,axiom,
incident(c1,oc),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ic1oc) ).
fof(ia1c1,axiom,
incident(a1,a1c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ia1c1) ).
fof(ia2oa,axiom,
incident(a2,oa),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ia2oa) ).
fof(triangle1,axiom,
! [X1] :
( ( incident(a1,X1)
& incident(b1,X1)
& incident(c1,X1) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',triangle1) ).
fof(triangle2,axiom,
! [X1] :
( ( incident(a2,X1)
& incident(b2,X1)
& incident(c2,X1) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',triangle2) ).
fof(iooc,axiom,
incident(o,oc),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',iooc) ).
fof(ib1c1,axiom,
incident(b1,b1c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ib1c1) ).
fof(ic2b2,axiom,
incident(c2,b2c2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ic2b2) ).
fof(iooa,axiom,
incident(o,oa),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',iooa) ).
fof(ioob,axiom,
incident(o,ob),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ioob) ).
fof(ib1a1,axiom,
incident(b1,a1b1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ib1a1) ).
fof(ib1ob,axiom,
incident(b1,ob),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ib1ob) ).
fof(ic1b1,axiom,
incident(c1,b1c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ic1b1) ).
fof(ia1b1,axiom,
incident(a1,a1b1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ia1b1) ).
fof(ic2a2,axiom,
incident(c2,a2c2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ic2a2) ).
fof(ic2oc,axiom,
incident(c2,oc),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ic2oc) ).
fof(ib2c2,axiom,
incident(b2,b2c2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ib2c2) ).
fof(ia2c2,axiom,
incident(a2,a2c2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ia2c2) ).
fof(transitivity_of_line_equal,axiom,
! [X1,X2,X3] :
( ( line_equal(X1,X2)
& line_equal(X2,X3) )
=> line_equal(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',transitivity_of_line_equal) ).
fof(symmetry_of_line_equal,axiom,
! [X1,X2] :
( line_equal(X1,X2)
=> line_equal(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',symmetry_of_line_equal) ).
fof(notbc,axiom,
( line_equal(b1c1,b2c2)
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',notbc) ).
fof(ibc1,axiom,
incident(bc,b1c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ibc1) ).
fof(ibc2,axiom,
incident(bc,b2c2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',ibc2) ).
fof(goal_normal,axiom,
! [X1] :
( ( line_equal(X1,X1)
& incident(bc,X1)
& incident(ac,X1)
& incident(ab,X1) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goal_normal) ).
fof(reflexivity_of_line_equal,axiom,
! [X1,X2] :
( incident(X1,X2)
=> line_equal(X2,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',reflexivity_of_line_equal) ).
fof(iab2,axiom,
incident(ab,a2b2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',iab2) ).
fof(iac1,axiom,
incident(ac,a1c1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',iac1) ).
fof(notcc,axiom,
( point_equal(c2,c1)
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',notcc) ).
fof(notab,axiom,
( line_equal(a1b1,a2b2)
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',notab) ).
fof(iab1,axiom,
incident(ab,a1b1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',iab1) ).
fof(transitivity_of_point_equal,axiom,
! [X1,X2,X3] :
( ( point_equal(X1,X2)
& point_equal(X2,X3) )
=> point_equal(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',transitivity_of_point_equal) ).
fof(iac2,axiom,
incident(ac,a2c2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',iac2) ).
fof(notbb,axiom,
( point_equal(b2,b1)
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',notbb) ).
fof(notac,axiom,
( line_equal(a1c1,a2c2)
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',notac) ).
fof(t1in2,axiom,
( ( incident(a1,b2c2)
& incident(b1,a2c2)
& incident(c1,a2b2) )
=> goal ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t1in2) ).
fof(c_0_50,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).
fof(c_0_51,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1)
| goal ),
inference(fof_nnf,[status(thm)],[t2in1]) ).
fof(c_0_52,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[c_0_50]) ).
cnf(c_0_53,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_54,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(sr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
inference(split_conjunct,[status(thm)],[gap_c]) ).
fof(c_0_57,plain,
! [X5,X6,X7,X8] :
( ~ incident(X5,X7)
| ~ incident(X5,X8)
| ~ incident(X6,X7)
| ~ incident(X6,X8)
| point_equal(X5,X6)
| line_equal(X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).
cnf(c_0_58,plain,
( incident(c1,a2b2)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
inference(split_conjunct,[status(thm)],[gap_a]) ).
fof(c_0_60,plain,
! [X4,X5,X6] :
( ~ point_equal(X4,X5)
| ~ incident(X5,X6)
| incident(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pcon])]) ).
cnf(c_0_61,plain,
( line_equal(X1,X2)
| point_equal(X3,X4)
| ~ incident(X4,X2)
| ~ incident(X4,X1)
| ~ incident(X3,X2)
| ~ incident(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| ~ incident(c2,a1b1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,plain,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
inference(split_conjunct,[status(thm)],[gap_b]) ).
fof(c_0_64,plain,
! [X4,X5,X6] :
( ~ incident(X4,X5)
| ~ line_equal(X5,X6)
| incident(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lcon])]) ).
cnf(c_0_65,plain,
( incident(X1,X2)
| ~ incident(X3,X2)
| ~ point_equal(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
incident(b2,ob),
inference(split_conjunct,[status(thm)],[ib2ob]) ).
cnf(c_0_67,plain,
( point_equal(X1,b2)
| incident(a1,b2c2)
| line_equal(X2,a1c1)
| ~ incident(b2,X2)
| ~ incident(X1,a1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_68,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
incident(b2,a2b2),
inference(split_conjunct,[status(thm)],[ib2a2]) ).
cnf(c_0_70,plain,
incident(c1,a1c1),
inference(split_conjunct,[status(thm)],[ic1a1]) ).
cnf(c_0_71,plain,
( incident(X1,X2)
| ~ line_equal(X3,X2)
| ~ incident(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_72,plain,
incident(a2,a2b2),
inference(split_conjunct,[status(thm)],[ia2b2]) ).
cnf(c_0_73,plain,
( incident(X1,ob)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( point_equal(c1,b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a2b2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70])]) ).
fof(c_0_75,plain,
( ~ point_equal(a2,a1)
| goal ),
inference(fof_nnf,[status(thm)],[notaa]) ).
fof(c_0_76,plain,
! [X3,X4] :
( ~ point_equal(X3,X4)
| point_equal(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_point_equal])]) ).
cnf(c_0_77,plain,
incident(a1,oa),
inference(split_conjunct,[status(thm)],[ia1oa]) ).
cnf(c_0_78,plain,
( incident(a2,X1)
| ~ line_equal(a2b2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
incident(c1,oc),
inference(split_conjunct,[status(thm)],[ic1oc]) ).
cnf(c_0_82,plain,
( point_equal(X1,X2)
| ~ point_equal(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
( point_equal(X1,a1)
| line_equal(X2,oa)
| ~ incident(a1,X2)
| ~ incident(X1,oa)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_77]) ).
cnf(c_0_84,plain,
( incident(a2,a1c1)
| incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
incident(a1,a1c1),
inference(split_conjunct,[status(thm)],[ia1c1]) ).
cnf(c_0_86,plain,
incident(a2,oa),
inference(split_conjunct,[status(thm)],[ia2oa]) ).
cnf(c_0_87,plain,
~ point_equal(a2,a1),
inference(sr,[status(thm)],[c_0_80,c_0_54]) ).
fof(c_0_88,plain,
! [X2] :
( ~ incident(a1,X2)
| ~ incident(b1,X2)
| ~ incident(c1,X2)
| goal ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle1])])])]) ).
cnf(c_0_89,plain,
( incident(X1,oc)
| ~ point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_65,c_0_81]) ).
cnf(c_0_90,plain,
( point_equal(b2,c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_82,c_0_74]) ).
fof(c_0_91,plain,
! [X2] :
( ~ incident(a2,X2)
| ~ incident(b2,X2)
| ~ incident(c2,X2)
| goal ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle2])])])]) ).
cnf(c_0_92,plain,
incident(o,oc),
inference(split_conjunct,[status(thm)],[iooc]) ).
cnf(c_0_93,plain,
( incident(c1,X1)
| ~ line_equal(a1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_94,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,oa) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_95,plain,
incident(b1,b1c1),
inference(split_conjunct,[status(thm)],[ib1c1]) ).
cnf(c_0_96,plain,
( goal
| ~ incident(c1,X1)
| ~ incident(b1,X1)
| ~ incident(a1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_97,plain,
incident(c2,b2c2),
inference(split_conjunct,[status(thm)],[ic2b2]) ).
cnf(c_0_98,plain,
( incident(b2,oc)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
( goal
| ~ incident(c2,X1)
| ~ incident(b2,X1)
| ~ incident(a2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
incident(o,oa),
inference(split_conjunct,[status(thm)],[iooa]) ).
cnf(c_0_101,plain,
( point_equal(X1,o)
| line_equal(X2,oc)
| ~ incident(o,X2)
| ~ incident(X1,oc)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_92]) ).
cnf(c_0_102,plain,
( incident(c1,oa)
| incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,plain,
incident(o,ob),
inference(split_conjunct,[status(thm)],[ioob]) ).
cnf(c_0_104,plain,
incident(b1,a1b1),
inference(split_conjunct,[status(thm)],[ib1a1]) ).
cnf(c_0_105,plain,
( point_equal(X1,b1)
| line_equal(X2,b1c1)
| ~ incident(b1,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_95]) ).
cnf(c_0_106,plain,
incident(b1,ob),
inference(split_conjunct,[status(thm)],[ib1ob]) ).
cnf(c_0_107,plain,
incident(c1,b1c1),
inference(split_conjunct,[status(thm)],[ic1b1]) ).
cnf(c_0_108,plain,
( ~ incident(a1,X1)
| ~ incident(b1,X1)
| ~ incident(c1,X1) ),
inference(sr,[status(thm)],[c_0_96,c_0_54]) ).
cnf(c_0_109,plain,
incident(a1,a1b1),
inference(split_conjunct,[status(thm)],[ia1b1]) ).
cnf(c_0_110,plain,
incident(c2,a2c2),
inference(split_conjunct,[status(thm)],[ic2a2]) ).
cnf(c_0_111,plain,
( point_equal(X1,c2)
| line_equal(X2,b2c2)
| ~ incident(c2,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_97]) ).
cnf(c_0_112,plain,
( incident(a2,a1c1)
| incident(b2,oc)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_98]) ).
cnf(c_0_113,plain,
incident(c2,oc),
inference(split_conjunct,[status(thm)],[ic2oc]) ).
cnf(c_0_114,plain,
incident(b2,b2c2),
inference(split_conjunct,[status(thm)],[ib2c2]) ).
cnf(c_0_115,plain,
( ~ incident(a2,X1)
| ~ incident(b2,X1)
| ~ incident(c2,X1) ),
inference(sr,[status(thm)],[c_0_99,c_0_54]) ).
cnf(c_0_116,plain,
incident(a2,a2c2),
inference(split_conjunct,[status(thm)],[ia2c2]) ).
fof(c_0_117,plain,
! [X4,X5,X6] :
( ~ line_equal(X4,X5)
| ~ line_equal(X5,X6)
| line_equal(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_line_equal])]) ).
cnf(c_0_118,plain,
( incident(X1,oa)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_65,c_0_100]) ).
cnf(c_0_119,plain,
( point_equal(c1,o)
| incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(ob,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_81])]) ).
fof(c_0_120,plain,
! [X3,X4] :
( ~ line_equal(X3,X4)
| line_equal(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_line_equal])]) ).
cnf(c_0_121,plain,
( incident(X1,a1b1)
| ~ point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_65,c_0_104]) ).
cnf(c_0_122,plain,
( point_equal(c1,b1)
| incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(ob,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_102]),c_0_106]),c_0_107])]) ).
cnf(c_0_123,plain,
~ incident(c1,a1b1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_104])]) ).
cnf(c_0_124,plain,
( incident(X1,a2c2)
| ~ point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_65,c_0_110]) ).
cnf(c_0_125,plain,
( point_equal(b2,c2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(oc,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114])]) ).
cnf(c_0_126,plain,
~ incident(b2,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_110])]) ).
cnf(c_0_127,plain,
( line_equal(X1,X2)
| ~ line_equal(X3,X2)
| ~ line_equal(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_128,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(ob,oc) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_129,plain,
( line_equal(X1,X2)
| ~ line_equal(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_130,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(ob,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
fof(c_0_131,plain,
( ~ line_equal(b1c1,b2c2)
| goal ),
inference(fof_nnf,[status(thm)],[notbc]) ).
cnf(c_0_132,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(oc,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_133,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(X1,oc)
| ~ line_equal(X1,ob) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(b1c1,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_136,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(X1,b2c2)
| ~ line_equal(X1,oc) ),
inference(spm,[status(thm)],[c_0_127,c_0_132]) ).
cnf(c_0_137,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(b1c1,oc) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,plain,
~ line_equal(b1c1,b2c2),
inference(sr,[status(thm)],[c_0_135,c_0_54]) ).
cnf(c_0_139,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(c1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_140,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(c1,oa)
| line_equal(a1c1,oa) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_139]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_141,plain,
( point_equal(X1,a1)
| line_equal(X2,a1c1)
| ~ incident(a1,X2)
| ~ incident(X1,a1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_85]) ).
cnf(c_0_142,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_93,c_0_140]) ).
cnf(c_0_143,plain,
( incident(X1,a1b1)
| ~ point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_65,c_0_109]) ).
cnf(c_0_144,plain,
( point_equal(c1,a1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(oa,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_77]),c_0_70])]) ).
cnf(c_0_145,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(oa,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_123]) ).
cnf(c_0_146,plain,
( incident(X1,ob)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_65,c_0_103]) ).
cnf(c_0_147,plain,
( point_equal(c1,o)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(oa,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_142]),c_0_100]),c_0_81])]) ).
cnf(c_0_148,plain,
( incident(a1,b2c2)
| incident(b2,X1)
| ~ line_equal(a1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_59]) ).
cnf(c_0_149,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,oa) ),
inference(spm,[status(thm)],[c_0_129,c_0_145]) ).
cnf(c_0_150,plain,
( incident(a2,X1)
| ~ line_equal(oa,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_86]) ).
cnf(c_0_151,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(oa,oc) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,plain,
( incident(a1,b2c2)
| incident(b2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,plain,
( incident(a2,oc)
| incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,X1)
| ~ line_equal(oa,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_152]) ).
cnf(c_0_155,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2)
| ~ incident(b2,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_153]),c_0_113])]) ).
cnf(c_0_156,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,oc)
| incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_154,c_0_151]) ).
cnf(c_0_157,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_158,plain,
( point_equal(c1,b1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(ob,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_157]),c_0_106]),c_0_107])]) ).
cnf(c_0_159,plain,
( point_equal(X1,a2)
| line_equal(X2,a2b2)
| ~ incident(a2,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_72]) ).
cnf(c_0_160,plain,
( point_equal(X1,b2)
| line_equal(X2,b2c2)
| ~ incident(b2,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_114]) ).
cnf(c_0_161,plain,
incident(bc,b1c1),
inference(split_conjunct,[status(thm)],[ibc1]) ).
cnf(c_0_162,plain,
incident(bc,b2c2),
inference(split_conjunct,[status(thm)],[ibc2]) ).
cnf(c_0_163,plain,
( incident(b2,X1)
| ~ line_equal(ob,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_66]) ).
cnf(c_0_164,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(ob,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_158]),c_0_123]) ).
cnf(c_0_165,plain,
( point_equal(b2,a2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2)
| ~ incident(a2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_59]),c_0_69])]) ).
cnf(c_0_166,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_150,c_0_145]) ).
fof(c_0_167,plain,
! [X2] :
( ~ line_equal(X2,X2)
| ~ incident(bc,X2)
| ~ incident(ac,X2)
| ~ incident(ab,X2)
| goal ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])])])]) ).
cnf(c_0_168,plain,
( point_equal(bc,b2)
| ~ incident(b2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162])]),c_0_138]) ).
cnf(c_0_169,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
fof(c_0_170,plain,
! [X3,X4] :
( ~ incident(X3,X4)
| line_equal(X4,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_line_equal])]) ).
cnf(c_0_171,plain,
( incident(X1,a2c2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_65,c_0_116]) ).
cnf(c_0_172,plain,
( point_equal(b2,a2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_173,plain,
( goal
| ~ incident(ab,X1)
| ~ incident(ac,X1)
| ~ incident(bc,X1)
| ~ line_equal(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_174,plain,
( incident(a1,b2c2)
| incident(X1,a1c1)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_175,plain,
( point_equal(bc,b2)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,plain,
( line_equal(X1,X1)
| ~ incident(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_177,plain,
incident(ab,a2b2),
inference(split_conjunct,[status(thm)],[iab2]) ).
cnf(c_0_178,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,a2b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_126]) ).
cnf(c_0_179,plain,
( ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(ab,X1)
| ~ line_equal(X1,X1) ),
inference(sr,[status(thm)],[c_0_173,c_0_54]) ).
cnf(c_0_180,plain,
( incident(a1,b2c2)
| incident(bc,a1c1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_181,plain,
incident(ac,a1c1),
inference(split_conjunct,[status(thm)],[iac1]) ).
cnf(c_0_182,plain,
line_equal(a1c1,a1c1),
inference(spm,[status(thm)],[c_0_176,c_0_70]) ).
cnf(c_0_183,plain,
( incident(ab,X1)
| ~ line_equal(a2b2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_177]) ).
cnf(c_0_184,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_129,c_0_178]) ).
cnf(c_0_185,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| ~ incident(ab,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182])]) ).
cnf(c_0_186,plain,
( incident(ab,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
fof(c_0_187,plain,
( ~ point_equal(c2,c1)
| goal ),
inference(fof_nnf,[status(thm)],[notcc]) ).
cnf(c_0_188,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| line_equal(X2,b1c1)
| ~ incident(a2,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_56]) ).
cnf(c_0_189,plain,
( incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_190,plain,
( point_equal(a2,b1)
| line_equal(a2c2,b1c1)
| ~ incident(b1,a2c2)
| ~ incident(a2,b1c1) ),
inference(spm,[status(thm)],[c_0_105,c_0_116]) ).
cnf(c_0_191,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_192,plain,
( incident(X1,oa)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_65,c_0_86]) ).
cnf(c_0_193,plain,
( point_equal(b1,a2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(a2c2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_116]),c_0_95])]) ).
cnf(c_0_194,plain,
( point_equal(a2,b1)
| incident(a1,b2c2)
| line_equal(a2c2,b1c1)
| ~ incident(a2,b1c1) ),
inference(spm,[status(thm)],[c_0_190,c_0_189]) ).
cnf(c_0_195,plain,
( point_equal(X1,c1)
| line_equal(X2,b1c1)
| ~ incident(c1,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_107]) ).
cnf(c_0_196,plain,
~ point_equal(c2,c1),
inference(sr,[status(thm)],[c_0_191,c_0_54]) ).
cnf(c_0_197,plain,
( incident(c2,X1)
| ~ line_equal(a2c2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_110]) ).
cnf(c_0_198,plain,
( incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_199,plain,
( point_equal(a2,b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_194,c_0_56]) ).
cnf(c_0_200,plain,
( incident(X1,ob)
| ~ point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_65,c_0_106]) ).
cnf(c_0_201,plain,
( line_equal(oc,b1c1)
| ~ incident(c2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_113]),c_0_81])]),c_0_196]) ).
cnf(c_0_202,plain,
( incident(c2,b1c1)
| incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_203,plain,
( incident(a2,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_121,c_0_199]) ).
cnf(c_0_204,plain,
( incident(a2,ob)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_200,c_0_199]) ).
cnf(c_0_205,plain,
( point_equal(X1,o)
| line_equal(X2,ob)
| ~ incident(o,X2)
| ~ incident(X1,ob)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_103]) ).
cnf(c_0_206,plain,
( incident(o,X1)
| ~ line_equal(oc,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_92]) ).
cnf(c_0_207,plain,
( incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(oc,b1c1) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_208,plain,
( point_equal(X1,c1)
| line_equal(X2,oc)
| ~ incident(c1,X2)
| ~ incident(X1,oc)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_81]) ).
cnf(c_0_209,plain,
( incident(c2,b1c1)
| incident(a2,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_197,c_0_203]) ).
cnf(c_0_210,plain,
( incident(c2,b1c1)
| incident(a2,ob)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_197,c_0_204]) ).
cnf(c_0_211,plain,
( point_equal(b1,o)
| line_equal(b1c1,ob)
| ~ incident(o,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_95]),c_0_106])]) ).
cnf(c_0_212,plain,
( incident(o,b1c1)
| incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
fof(c_0_213,plain,
( ~ line_equal(a1b1,a2b2)
| goal ),
inference(fof_nnf,[status(thm)],[notab]) ).
cnf(c_0_214,plain,
( point_equal(X1,a1)
| line_equal(X2,a1b1)
| ~ incident(a1,X2)
| ~ incident(X1,a1b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_109]) ).
cnf(c_0_215,plain,
( incident(b1,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_95]) ).
cnf(c_0_216,plain,
( incident(a2,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_107]),c_0_113])]),c_0_196]) ).
cnf(c_0_217,plain,
( incident(a2,ob)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_210]),c_0_107]),c_0_113])]),c_0_196]) ).
cnf(c_0_218,plain,
( point_equal(b1,o)
| incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,ob) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_219,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_220,plain,
( line_equal(oa,a1b1)
| ~ incident(a2,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_86]),c_0_77])]),c_0_87]) ).
cnf(c_0_221,plain,
( incident(b1,oc)
| incident(a2,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_222,plain,
( point_equal(b2,a2)
| line_equal(ob,a2b2)
| ~ incident(a2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_66]),c_0_69])]) ).
cnf(c_0_223,plain,
( incident(b1,oc)
| incident(a2,ob)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_215,c_0_217]) ).
cnf(c_0_224,plain,
( incident(c1,a2b2)
| incident(a2,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_225,plain,
( incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,ob) ),
inference(spm,[status(thm)],[c_0_118,c_0_218]) ).
cnf(c_0_226,plain,
incident(ab,a1b1),
inference(split_conjunct,[status(thm)],[iab1]) ).
cnf(c_0_227,plain,
~ line_equal(a1b1,a2b2),
inference(sr,[status(thm)],[c_0_219,c_0_54]) ).
cnf(c_0_228,plain,
( incident(o,X1)
| ~ line_equal(oa,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_100]) ).
cnf(c_0_229,plain,
( incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(oa,a1b1) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_230,plain,
( point_equal(b2,a2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(ob,a2b2) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_231,plain,
( incident(c1,a2b2)
| incident(a2,ob)
| incident(b1,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_232,plain,
( incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c2,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_202]) ).
fof(c_0_233,plain,
! [X4,X5,X6] :
( ~ point_equal(X4,X5)
| ~ point_equal(X5,X6)
| point_equal(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_point_equal])]) ).
cnf(c_0_234,plain,
( point_equal(ab,a2)
| ~ incident(a2,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_226]),c_0_177])]),c_0_227]) ).
cnf(c_0_235,plain,
( point_equal(X1,ab)
| line_equal(X2,a2b2)
| ~ incident(ab,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_177]) ).
cnf(c_0_236,plain,
( incident(o,a1b1)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_237,plain,
( incident(o,X1)
| ~ line_equal(ob,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_103]) ).
cnf(c_0_238,plain,
( incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(ob,a2b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_230]),c_0_126]) ).
cnf(c_0_239,plain,
( incident(c1,a2b2)
| incident(b1,oa)
| incident(a1,b2c2)
| ~ incident(c2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_231]),c_0_66])]) ).
cnf(c_0_240,plain,
( incident(b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_232,c_0_225]) ).
cnf(c_0_241,plain,
( point_equal(X1,X2)
| ~ point_equal(X3,X2)
| ~ point_equal(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_242,plain,
( point_equal(ab,a2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_234,c_0_221]) ).
cnf(c_0_243,plain,
( point_equal(o,ab)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| ~ incident(o,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_226])]),c_0_227]) ).
cnf(c_0_244,plain,
( incident(o,a2b2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,plain,
( incident(c1,a2b2)
| incident(b1,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,plain,
( point_equal(X1,a2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| ~ point_equal(X1,ab) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_247,plain,
( point_equal(o,ab)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_248,plain,
( point_equal(c1,b2)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a2b2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_245]),c_0_69]),c_0_70])]) ).
cnf(c_0_249,plain,
( point_equal(o,a2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_250,plain,
( point_equal(X1,a2)
| line_equal(X2,a2c2)
| ~ incident(a2,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_116]) ).
cnf(c_0_251,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_73,c_0_248]) ).
cnf(c_0_252,plain,
( incident(X1,oc)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_65,c_0_92]) ).
cnf(c_0_253,plain,
( point_equal(a2,o)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_82,c_0_249]) ).
cnf(c_0_254,plain,
( point_equal(b1,a2)
| line_equal(b1c1,a2c2)
| ~ incident(a2,b1c1)
| ~ incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_250,c_0_95]) ).
cnf(c_0_255,plain,
( incident(a2,a1c1)
| incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_78,c_0_251]) ).
cnf(c_0_256,plain,
( incident(a2,oc)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_257,plain,
( point_equal(b1,a2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| ~ incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_254,c_0_56]) ).
cnf(c_0_258,plain,
( point_equal(b2,c1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_82,c_0_248]) ).
cnf(c_0_259,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a1c1,oa) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_255]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_260,plain,
( incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(X1,oc)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_65,c_0_256]) ).
cnf(c_0_261,plain,
( point_equal(b1,a2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_257,c_0_189]) ).
cnf(c_0_262,plain,
( incident(b2,oc)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_89,c_0_258]) ).
cnf(c_0_263,plain,
( incident(c1,oa)
| incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_93,c_0_259]) ).
cnf(c_0_264,plain,
( incident(bc,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_161]) ).
cnf(c_0_265,plain,
( incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_266,plain,
( incident(a2,a1c1)
| incident(b2,oc)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_78,c_0_262]) ).
cnf(c_0_267,plain,
( point_equal(c1,o)
| incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(ob,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_263]),c_0_103]),c_0_81])]) ).
cnf(c_0_268,plain,
( point_equal(c1,b1)
| incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(ob,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_263]),c_0_106]),c_0_107])]) ).
cnf(c_0_269,plain,
( incident(bc,a2c2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_270,plain,
incident(ac,a2c2),
inference(split_conjunct,[status(thm)],[iac2]) ).
cnf(c_0_271,plain,
line_equal(a2c2,a2c2),
inference(spm,[status(thm)],[c_0_176,c_0_110]) ).
cnf(c_0_272,plain,
( point_equal(b2,c2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(oc,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_266]),c_0_113]),c_0_114])]) ).
cnf(c_0_273,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(ob,oc) ),
inference(spm,[status(thm)],[c_0_118,c_0_267]) ).
cnf(c_0_274,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(ob,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_268]),c_0_123]) ).
cnf(c_0_275,plain,
( incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| ~ incident(ab,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_269]),c_0_270]),c_0_271])]) ).
cnf(c_0_276,plain,
( incident(ab,a2c2)
| incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_171,c_0_242]) ).
cnf(c_0_277,plain,
( point_equal(X1,b2)
| line_equal(X2,a2b2)
| ~ incident(b2,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_69]) ).
cnf(c_0_278,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(oc,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_272]),c_0_126]) ).
cnf(c_0_279,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(X1,oc)
| ~ line_equal(X1,ob) ),
inference(spm,[status(thm)],[c_0_127,c_0_273]) ).
cnf(c_0_280,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(b1c1,ob) ),
inference(spm,[status(thm)],[c_0_129,c_0_274]) ).
cnf(c_0_281,plain,
( incident(b1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_282,plain,
( point_equal(c1,b2)
| line_equal(a1c1,a2b2)
| ~ incident(b2,a1c1)
| ~ incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_277,c_0_70]) ).
cnf(c_0_283,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(X1,b2c2)
| ~ line_equal(X1,oc) ),
inference(spm,[status(thm)],[c_0_127,c_0_278]) ).
cnf(c_0_284,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(b1c1,oc) ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
fof(c_0_285,plain,
( ~ point_equal(b2,b1)
| goal ),
inference(fof_nnf,[status(thm)],[notbb]) ).
cnf(c_0_286,plain,
( point_equal(X1,c1)
| incident(b1,oc)
| incident(a1,b2c2)
| line_equal(X2,a2b2)
| ~ incident(c1,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_281]) ).
cnf(c_0_287,plain,
( point_equal(c1,b2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2)
| ~ incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_282,c_0_59]) ).
cnf(c_0_288,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,oa)
| incident(c1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_138]) ).
cnf(c_0_289,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(split_conjunct,[status(thm)],[c_0_285]) ).
cnf(c_0_290,plain,
( incident(X1,b1c1)
| ~ point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_65,c_0_107]) ).
cnf(c_0_291,plain,
( point_equal(b2,c1)
| incident(b1,oc)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_59]),c_0_70]),c_0_69])]) ).
cnf(c_0_292,plain,
( incident(X1,b2c2)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_65,c_0_114]) ).
cnf(c_0_293,plain,
( point_equal(c1,b2)
| incident(a1,b2c2)
| incident(b1,oc)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_287,c_0_281]) ).
cnf(c_0_294,plain,
( point_equal(c1,b2)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_287,c_0_245]) ).
cnf(c_0_295,plain,
( incident(a1,b2c2)
| incident(b1,oa)
| incident(c1,oa)
| line_equal(a1c1,oa) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_288]),c_0_85]),c_0_86])]),c_0_87]) ).
cnf(c_0_296,plain,
~ point_equal(b2,b1),
inference(sr,[status(thm)],[c_0_289,c_0_54]) ).
cnf(c_0_297,plain,
( incident(a1,X1)
| ~ line_equal(a1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_85]) ).
cnf(c_0_298,plain,
( incident(b2,b1c1)
| incident(b1,oc)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_299,plain,
( incident(c1,b2c2)
| incident(a1,b2c2)
| incident(b1,oc)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_300,plain,
( point_equal(b2,c1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_82,c_0_294]) ).
fof(c_0_301,plain,
( ~ line_equal(a1c1,a2c2)
| goal ),
inference(fof_nnf,[status(thm)],[notac]) ).
cnf(c_0_302,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_93,c_0_295]) ).
cnf(c_0_303,plain,
( point_equal(X1,bc)
| line_equal(X2,b2c2)
| ~ incident(bc,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_162]) ).
cnf(c_0_304,plain,
( line_equal(ob,b1c1)
| ~ incident(b2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_66]),c_0_106])]),c_0_296]) ).
cnf(c_0_305,plain,
( incident(a1,a2b2)
| incident(b2,b1c1)
| incident(b1,oc)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_306,plain,
( line_equal(b2c2,oc)
| ~ incident(c1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_97]),c_0_113])]),c_0_196]) ).
cnf(c_0_307,plain,
( incident(a1,a2b2)
| incident(c1,b2c2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_297,c_0_299]) ).
cnf(c_0_308,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_290,c_0_300]) ).
cnf(c_0_309,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_310,plain,
( point_equal(c1,a1)
| incident(a1,b2c2)
| incident(b1,oa)
| line_equal(oa,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_302]),c_0_77]),c_0_70])]) ).
cnf(c_0_311,plain,
( point_equal(c1,bc)
| ~ incident(c1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_107]),c_0_161])]),c_0_138]) ).
cnf(c_0_312,plain,
( incident(a1,a2b2)
| incident(b1,oc)
| incident(a1,b2c2)
| line_equal(ob,b1c1) ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_313,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc)
| line_equal(b2c2,oc) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_314,plain,
( incident(a1,a2b2)
| incident(b2,b1c1)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_297,c_0_308]) ).
cnf(c_0_315,plain,
~ line_equal(a1c1,a2c2),
inference(sr,[status(thm)],[c_0_309,c_0_54]) ).
cnf(c_0_316,plain,
( incident(a1,b2c2)
| incident(b1,oa)
| line_equal(oa,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_310]),c_0_123]) ).
cnf(c_0_317,plain,
( point_equal(c1,bc)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_311,c_0_307]) ).
cnf(c_0_318,plain,
( incident(o,b1c1)
| incident(a1,a2b2)
| incident(b1,oc)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_237,c_0_312]) ).
cnf(c_0_319,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc)
| line_equal(oc,b2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_313]) ).
cnf(c_0_320,plain,
( incident(X1,a2b2)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_65,c_0_69]) ).
cnf(c_0_321,plain,
( point_equal(bc,b2)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_168,c_0_314]) ).
cnf(c_0_322,plain,
( point_equal(ac,a2)
| ~ incident(a2,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_181]),c_0_270])]),c_0_315]) ).
cnf(c_0_323,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_150,c_0_316]) ).
cnf(c_0_324,plain,
( point_equal(bc,c1)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_82,c_0_317]) ).
cnf(c_0_325,plain,
( point_equal(o,bc)
| incident(a1,a2b2)
| incident(b1,oc)
| incident(a1,b2c2)
| ~ incident(o,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_318]),c_0_161])]),c_0_138]) ).
cnf(c_0_326,plain,
( incident(o,b2c2)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_206,c_0_319]) ).
cnf(c_0_327,plain,
( incident(bc,a2b2)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_328,plain,
line_equal(a2b2,a2b2),
inference(spm,[status(thm)],[c_0_176,c_0_69]) ).
cnf(c_0_329,plain,
( incident(X1,a2b2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_65,c_0_72]) ).
cnf(c_0_330,plain,
( point_equal(ac,a2)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_331,plain,
( point_equal(X1,c1)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc)
| ~ point_equal(X1,bc) ),
inference(spm,[status(thm)],[c_0_241,c_0_324]) ).
cnf(c_0_332,plain,
( point_equal(o,bc)
| incident(a1,a2b2)
| incident(b1,oc)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_333,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oa)
| ~ incident(ac,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_327]),c_0_177]),c_0_328])]) ).
cnf(c_0_334,plain,
( incident(ac,a2b2)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_335,plain,
( point_equal(o,c1)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_336,plain,
( ~ incident(b1,oa)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_108,c_0_77]) ).
cnf(c_0_337,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_338,plain,
( point_equal(c1,o)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_82,c_0_335]) ).
cnf(c_0_339,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| ~ incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_340,plain,
( incident(c1,oa)
| incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_118,c_0_338]) ).
cnf(c_0_341,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_342,plain,
( incident(X1,a1c1)
| ~ point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_65,c_0_70]) ).
cnf(c_0_343,plain,
( point_equal(b1,c1)
| incident(a1,a2b2)
| incident(a1,b2c2)
| line_equal(oc,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_341]),c_0_81]),c_0_95])]) ).
cnf(c_0_344,plain,
~ incident(b1,a1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_85]),c_0_70])]) ).
cnf(c_0_345,plain,
( incident(c2,X1)
| ~ line_equal(oc,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_113]) ).
cnf(c_0_346,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| line_equal(oc,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]) ).
cnf(c_0_347,plain,
( incident(X1,a1c1)
| ~ point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_65,c_0_85]) ).
cnf(c_0_348,plain,
( point_equal(b1,a1)
| incident(a1,a2b2)
| incident(a1,b2c2)
| line_equal(oa,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_337]),c_0_77]),c_0_104])]) ).
cnf(c_0_349,plain,
( point_equal(bc,c2)
| ~ incident(c2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_161]),c_0_162])]),c_0_138]) ).
cnf(c_0_350,plain,
( incident(c2,b1c1)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_351,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| line_equal(oa,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_344]) ).
cnf(c_0_352,plain,
( point_equal(bc,c2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_353,plain,
( incident(a2,a1b1)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_150,c_0_351]) ).
cnf(c_0_354,plain,
( incident(bc,a2c2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_124,c_0_352]) ).
cnf(c_0_355,plain,
( point_equal(ab,a2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_234,c_0_353]) ).
cnf(c_0_356,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| ~ incident(ab,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_354]),c_0_270]),c_0_271])]) ).
cnf(c_0_357,plain,
( incident(ab,a2c2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_171,c_0_355]) ).
cnf(c_0_358,plain,
( line_equal(a2b2,oa)
| ~ incident(a1,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_72]),c_0_86])]),c_0_87]) ).
cnf(c_0_359,plain,
( incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_360,plain,
( incident(a1,b2c2)
| line_equal(a2b2,oa) ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_361,plain,
( incident(a1,b2c2)
| line_equal(oa,a2b2) ),
inference(spm,[status(thm)],[c_0_129,c_0_360]) ).
cnf(c_0_362,plain,
( incident(o,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_228,c_0_361]) ).
cnf(c_0_363,plain,
( point_equal(a1,b2)
| incident(a1,b2c2)
| line_equal(a2b2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_359]),c_0_69]),c_0_85])]) ).
cnf(c_0_364,plain,
( point_equal(X1,c1)
| line_equal(X2,a1c1)
| ~ incident(c1,X2)
| ~ incident(X1,a1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_70]) ).
cnf(c_0_365,plain,
( incident(a1,b2c2)
| incident(o,X1)
| ~ line_equal(a2b2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_362]) ).
cnf(c_0_366,plain,
( incident(a1,b2c2)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_292,c_0_363]) ).
cnf(c_0_367,plain,
( point_equal(o,c1)
| line_equal(oc,a1c1)
| ~ incident(o,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_92]),c_0_81])]) ).
cnf(c_0_368,plain,
( incident(a1,b2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_369,plain,
( incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_129,c_0_366]) ).
cnf(c_0_370,plain,
( point_equal(o,c1)
| incident(a1,b2c2)
| line_equal(oc,a1c1) ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_371,plain,
( incident(a1,b2c2)
| line_equal(X1,a2b2)
| ~ line_equal(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_127,c_0_369]) ).
cnf(c_0_372,plain,
( incident(o,b1c1)
| incident(a1,b2c2)
| line_equal(oc,a1c1) ),
inference(spm,[status(thm)],[c_0_290,c_0_370]) ).
cnf(c_0_373,plain,
( point_equal(o,b2)
| incident(a1,b2c2)
| line_equal(ob,a1c1)
| ~ incident(o,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_103]),c_0_66])]) ).
cnf(c_0_374,plain,
( incident(a1,b2c2)
| incident(o,b1c1)
| line_equal(oc,a2b2) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_375,plain,
~ incident(c2,a2b2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_72]),c_0_69])]) ).
cnf(c_0_376,plain,
( point_equal(o,b2)
| incident(a1,b2c2)
| line_equal(ob,a1c1) ),
inference(spm,[status(thm)],[c_0_373,c_0_368]) ).
cnf(c_0_377,plain,
( incident(a1,b2c2)
| incident(o,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_374]),c_0_375]) ).
cnf(c_0_378,plain,
( incident(b1,X1)
| ~ line_equal(ob,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_106]) ).
cnf(c_0_379,plain,
( incident(o,b2c2)
| incident(a1,b2c2)
| line_equal(ob,a1c1) ),
inference(spm,[status(thm)],[c_0_292,c_0_376]) ).
cnf(c_0_380,plain,
( point_equal(o,bc)
| incident(a1,b2c2)
| ~ incident(o,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_377]),c_0_161])]),c_0_138]) ).
cnf(c_0_381,plain,
( incident(o,b2c2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_344]) ).
cnf(c_0_382,plain,
( point_equal(o,bc)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_383,plain,
( point_equal(a1,ab)
| ~ incident(a1,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_109]),c_0_226])]),c_0_227]) ).
cnf(c_0_384,plain,
( incident(a1,b2c2)
| incident(X1,a1c1)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_65,c_0_368]) ).
cnf(c_0_385,plain,
( point_equal(bc,o)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_82,c_0_382]) ).
cnf(c_0_386,plain,
( point_equal(a1,ab)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_383,c_0_359]) ).
cnf(c_0_387,plain,
( incident(a1,b2c2)
| incident(bc,a1c1) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_388,plain,
( point_equal(ab,a1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_82,c_0_386]) ).
cnf(c_0_389,plain,
( incident(a1,b2c2)
| ~ incident(ab,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_387]),c_0_181]),c_0_182])]) ).
cnf(c_0_390,plain,
( incident(ab,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_347,c_0_388]) ).
cnf(c_0_391,plain,
( point_equal(c2,a1)
| line_equal(b2c2,a1b1)
| ~ incident(a1,b2c2)
| ~ incident(c2,a1b1) ),
inference(spm,[status(thm)],[c_0_214,c_0_97]) ).
cnf(c_0_392,plain,
incident(a1,b2c2),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_393,plain,
( point_equal(c2,a1)
| line_equal(b2c2,a1b1)
| ~ incident(c2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_392])]) ).
cnf(c_0_394,plain,
( point_equal(c2,a1)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_393,c_0_63]) ).
cnf(c_0_395,plain,
( incident(X1,oa)
| ~ point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_65,c_0_77]) ).
cnf(c_0_396,plain,
( incident(b2,X1)
| ~ line_equal(b2c2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_114]) ).
cnf(c_0_397,plain,
( incident(c2,a1c1)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_347,c_0_394]) ).
cnf(c_0_398,plain,
( incident(c2,oa)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_395,c_0_394]) ).
cnf(c_0_399,plain,
( point_equal(X1,c2)
| line_equal(X2,a2c2)
| ~ incident(c2,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_110]) ).
cnf(c_0_400,plain,
( line_equal(oc,a1c1)
| ~ incident(c2,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_113]),c_0_81])]),c_0_196]) ).
cnf(c_0_401,plain,
( incident(b2,a1b1)
| incident(c2,a1c1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_402,plain,
( incident(b2,a1b1)
| incident(c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_396,c_0_398]) ).
cnf(c_0_403,plain,
( point_equal(ac,c2)
| ~ incident(c2,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_181]),c_0_270])]),c_0_315]) ).
cnf(c_0_404,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(oc,a1c1) ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_405,plain,
( point_equal(c2,a2)
| incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(oa,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_402]),c_0_86]),c_0_110])]) ).
cnf(c_0_406,plain,
( incident(b1,a2c2)
| incident(X1,a1b1)
| ~ point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_65,c_0_63]) ).
cnf(c_0_407,plain,
( point_equal(ac,c2)
| incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_403,c_0_401]) ).
cnf(c_0_408,plain,
( point_equal(X1,ac)
| line_equal(X2,a2c2)
| ~ incident(ac,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_270]) ).
cnf(c_0_409,plain,
( incident(o,a1c1)
| incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_206,c_0_404]) ).
cnf(c_0_410,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(oa,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_405]),c_0_375]) ).
cnf(c_0_411,plain,
( incident(b1,a2c2)
| incident(ac,a1b1)
| incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_412,plain,
( point_equal(o,ac)
| incident(b2,a1b1)
| incident(b1,a2c2)
| ~ incident(o,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_181])]),c_0_315]) ).
cnf(c_0_413,plain,
( incident(o,a2c2)
| incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_228,c_0_410]) ).
cnf(c_0_414,plain,
( incident(b1,a2c2)
| incident(b2,a1b1)
| incident(X1,a1b1)
| ~ point_equal(X1,ac) ),
inference(spm,[status(thm)],[c_0_65,c_0_411]) ).
cnf(c_0_415,plain,
( point_equal(o,ac)
| incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_416,plain,
( point_equal(b1,o)
| line_equal(a1b1,ob)
| ~ incident(o,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_104]),c_0_106])]) ).
cnf(c_0_417,plain,
( incident(b1,a2c2)
| incident(b2,a1b1)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_418,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| incident(X1,a1c1)
| ~ point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_65,c_0_409]) ).
cnf(c_0_419,plain,
( point_equal(b1,o)
| incident(b1,a2c2)
| incident(b2,a1b1)
| line_equal(a1b1,ob) ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_420,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(a1b1,ob) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_344]) ).
cnf(c_0_421,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(ob,a1b1) ),
inference(spm,[status(thm)],[c_0_129,c_0_420]) ).
cnf(c_0_422,plain,
( point_equal(X1,b1)
| line_equal(X2,ob)
| ~ incident(b1,X2)
| ~ incident(X1,ob)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_106]) ).
cnf(c_0_423,plain,
( incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_163,c_0_421]) ).
cnf(c_0_424,plain,
( point_equal(X1,b1)
| line_equal(X2,a1b1)
| ~ incident(b1,X2)
| ~ incident(X1,a1b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_104]) ).
cnf(c_0_425,plain,
( incident(b1,a2c2)
| incident(c2,X1)
| ~ line_equal(a1b1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_63]) ).
cnf(c_0_426,plain,
( incident(b1,a2c2)
| line_equal(a1b1,ob) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_104]),c_0_66])]),c_0_296]) ).
cnf(c_0_427,plain,
( line_equal(ob,a1b1)
| ~ incident(b2,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_66]),c_0_106])]),c_0_296]) ).
cnf(c_0_428,plain,
( point_equal(c2,o)
| line_equal(oc,ob)
| ~ incident(c2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_113]),c_0_92])]) ).
cnf(c_0_429,plain,
( incident(b1,a2c2)
| incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_430,plain,
( incident(b1,a2c2)
| line_equal(ob,a1b1) ),
inference(spm,[status(thm)],[c_0_427,c_0_423]) ).
cnf(c_0_431,plain,
( point_equal(c2,o)
| incident(b1,a2c2)
| line_equal(oc,ob) ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_432,plain,
( incident(b1,a2c2)
| line_equal(X1,a1b1)
| ~ line_equal(X1,ob) ),
inference(spm,[status(thm)],[c_0_127,c_0_430]) ).
cnf(c_0_433,plain,
( incident(c2,oa)
| incident(b1,a2c2)
| line_equal(oc,ob) ),
inference(spm,[status(thm)],[c_0_118,c_0_431]) ).
cnf(c_0_434,plain,
( incident(c1,X1)
| ~ line_equal(oc,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_81]) ).
cnf(c_0_435,plain,
( incident(b1,a2c2)
| incident(c2,oa)
| line_equal(oc,a1b1) ),
inference(spm,[status(thm)],[c_0_432,c_0_433]) ).
cnf(c_0_436,plain,
( incident(b1,a2c2)
| incident(c2,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_123]) ).
cnf(c_0_437,plain,
( point_equal(c2,a2)
| incident(b1,a2c2)
| line_equal(oa,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_436]),c_0_86]),c_0_110])]) ).
cnf(c_0_438,plain,
( incident(o,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_237,c_0_430]) ).
cnf(c_0_439,plain,
( incident(b1,a2c2)
| line_equal(oa,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_437]),c_0_375]) ).
cnf(c_0_440,plain,
( point_equal(o,a1)
| incident(b1,a2c2)
| line_equal(a1b1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_438]),c_0_109]),c_0_100])]) ).
cnf(c_0_441,plain,
( point_equal(X1,c2)
| incident(b1,a2c2)
| line_equal(X2,a1b1)
| ~ incident(c2,X2)
| ~ incident(X1,a1b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_63]) ).
cnf(c_0_442,plain,
( point_equal(c2,b2)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2)
| ~ incident(b2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_63]),c_0_97])]) ).
cnf(c_0_443,plain,
( incident(b1,a2c2)
| line_equal(X1,a2c2)
| ~ line_equal(X1,oa) ),
inference(spm,[status(thm)],[c_0_127,c_0_439]) ).
cnf(c_0_444,plain,
( incident(o,a1c1)
| incident(b1,a2c2)
| line_equal(a1b1,oa) ),
inference(spm,[status(thm)],[c_0_347,c_0_440]) ).
cnf(c_0_445,plain,
( point_equal(o,c2)
| incident(b1,a2c2)
| line_equal(oc,a1b1)
| ~ incident(o,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_92]),c_0_113])]) ).
cnf(c_0_446,plain,
( point_equal(c2,b2)
| incident(b1,a2c2)
| line_equal(a1b1,b2c2) ),
inference(spm,[status(thm)],[c_0_442,c_0_423]) ).
cnf(c_0_447,plain,
( incident(b1,X1)
| ~ line_equal(a1b1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_104]) ).
cnf(c_0_448,plain,
( incident(b1,a2c2)
| incident(o,a1c1)
| line_equal(a1b1,a2c2) ),
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
cnf(c_0_449,plain,
( point_equal(o,c2)
| incident(b1,a2c2)
| line_equal(oc,a1b1) ),
inference(spm,[status(thm)],[c_0_445,c_0_438]) ).
cnf(c_0_450,plain,
( incident(b1,a2c2)
| line_equal(a1b1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_446]),c_0_375]) ).
cnf(c_0_451,plain,
( incident(b1,a2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_447,c_0_448]) ).
cnf(c_0_452,plain,
( incident(o,a2c2)
| incident(b1,a2c2)
| line_equal(oc,a1b1) ),
inference(spm,[status(thm)],[c_0_124,c_0_449]) ).
cnf(c_0_453,plain,
( incident(b1,a2c2)
| line_equal(X1,ob)
| ~ line_equal(X1,a1b1) ),
inference(spm,[status(thm)],[c_0_127,c_0_426]) ).
cnf(c_0_454,plain,
( incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_129,c_0_450]) ).
cnf(c_0_455,plain,
( point_equal(o,ac)
| incident(b1,a2c2)
| ~ incident(o,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_451]),c_0_181])]),c_0_315]) ).
cnf(c_0_456,plain,
( incident(o,a2c2)
| incident(b1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_452]),c_0_123]) ).
cnf(c_0_457,plain,
( incident(bc,X1)
| ~ line_equal(b2c2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_162]) ).
cnf(c_0_458,plain,
( incident(b1,a2c2)
| line_equal(b2c2,ob) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_459,plain,
( point_equal(o,ac)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
fof(c_0_460,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2)
| goal ),
inference(fof_nnf,[status(thm)],[t1in2]) ).
cnf(c_0_461,plain,
( incident(bc,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_462,plain,
line_equal(ob,ob),
inference(spm,[status(thm)],[c_0_176,c_0_103]) ).
cnf(c_0_463,plain,
( point_equal(ac,o)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_82,c_0_459]) ).
cnf(c_0_464,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_465,plain,
( incident(b1,a2c2)
| ~ incident(ac,ob)
| ~ incident(ab,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_461]),c_0_462])]) ).
cnf(c_0_466,plain,
( incident(ac,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_146,c_0_463]) ).
cnf(c_0_467,plain,
( incident(ab,X1)
| ~ line_equal(a1b1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_226]) ).
cnf(c_0_468,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(sr,[status(thm)],[c_0_464,c_0_54]) ).
cnf(c_0_469,plain,
( incident(b1,a2c2)
| ~ incident(ab,ob) ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_470,plain,
( incident(ab,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_467,c_0_426]) ).
cnf(c_0_471,plain,
( ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_392])]) ).
cnf(c_0_472,plain,
incident(b1,a2c2),
inference(spm,[status(thm)],[c_0_469,c_0_470]) ).
cnf(c_0_473,plain,
~ incident(c1,a2b2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_471,c_0_472])]) ).
cnf(c_0_474,plain,
incident(a2,b1c1),
inference(sr,[status(thm)],[c_0_56,c_0_473]) ).
cnf(c_0_475,plain,
( point_equal(a2,b1)
| line_equal(a2c2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_472])]),c_0_474])]) ).
cnf(c_0_476,plain,
( incident(a2,a1b1)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_121,c_0_475]) ).
cnf(c_0_477,plain,
( incident(a2,ob)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_200,c_0_475]) ).
cnf(c_0_478,plain,
( incident(c2,b1c1)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_197,c_0_476]) ).
cnf(c_0_479,plain,
( incident(c2,b1c1)
| incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_197,c_0_477]) ).
cnf(c_0_480,plain,
( incident(a2,a1b1)
| line_equal(b1c1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_478]),c_0_107]),c_0_113])]),c_0_196]) ).
cnf(c_0_481,plain,
( incident(a2,ob)
| line_equal(b1c1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_479]),c_0_107]),c_0_113])]),c_0_196]) ).
cnf(c_0_482,plain,
( incident(b1,oc)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_215,c_0_480]) ).
cnf(c_0_483,plain,
( incident(b1,oc)
| incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_215,c_0_481]) ).
cnf(c_0_484,plain,
( incident(b1,oc)
| line_equal(oa,a1b1) ),
inference(spm,[status(thm)],[c_0_220,c_0_482]) ).
cnf(c_0_485,plain,
( point_equal(b2,a2)
| incident(b1,oc)
| line_equal(ob,a2b2) ),
inference(spm,[status(thm)],[c_0_222,c_0_483]) ).
cnf(c_0_486,plain,
( incident(o,a1b1)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_228,c_0_484]) ).
cnf(c_0_487,plain,
( incident(b1,oc)
| line_equal(ob,a2b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_485]),c_0_126]) ).
cnf(c_0_488,plain,
( point_equal(ab,a2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_234,c_0_482]) ).
cnf(c_0_489,plain,
( point_equal(o,ab)
| incident(b1,oc)
| ~ incident(o,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_486]),c_0_226])]),c_0_227]) ).
cnf(c_0_490,plain,
( incident(o,a2b2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_237,c_0_487]) ).
cnf(c_0_491,plain,
( point_equal(X1,a2)
| incident(b1,oc)
| ~ point_equal(X1,ab) ),
inference(spm,[status(thm)],[c_0_241,c_0_488]) ).
cnf(c_0_492,plain,
( point_equal(o,ab)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_493,plain,
( point_equal(o,a2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_494,plain,
( point_equal(a2,o)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_82,c_0_493]) ).
cnf(c_0_495,plain,
( incident(a2,oc)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_252,c_0_494]) ).
cnf(c_0_496,plain,
( incident(b1,oc)
| incident(X1,oc)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_65,c_0_495]) ).
cnf(c_0_497,plain,
( point_equal(b1,a2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_82,c_0_475]) ).
cnf(c_0_498,plain,
line_equal(b1c1,b1c1),
inference(spm,[status(thm)],[c_0_176,c_0_107]) ).
cnf(c_0_499,plain,
( incident(ac,X1)
| ~ line_equal(a2c2,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_270]) ).
cnf(c_0_500,plain,
( incident(b1,oc)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_496,c_0_497]) ).
cnf(c_0_501,plain,
( ~ incident(ac,b1c1)
| ~ incident(ab,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_161]),c_0_498])]) ).
cnf(c_0_502,plain,
( incident(ac,b1c1)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_503,plain,
( incident(X1,b1c1)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_65,c_0_474]) ).
cnf(c_0_504,plain,
( incident(b1,oc)
| ~ incident(ab,b1c1) ),
inference(spm,[status(thm)],[c_0_501,c_0_502]) ).
cnf(c_0_505,plain,
( incident(ab,b1c1)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_503,c_0_488]) ).
cnf(c_0_506,plain,
( point_equal(c1,b1)
| line_equal(oc,b1c1)
| ~ incident(b1,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_81]),c_0_107])]) ).
cnf(c_0_507,plain,
incident(b1,oc),
inference(spm,[status(thm)],[c_0_504,c_0_505]) ).
cnf(c_0_508,plain,
( point_equal(c1,b1)
| line_equal(oc,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_506,c_0_507])]) ).
cnf(c_0_509,plain,
line_equal(oc,b1c1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_508]),c_0_123]) ).
cnf(c_0_510,plain,
( point_equal(b1,o)
| line_equal(ob,oc)
| ~ incident(b1,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_106]),c_0_103])]) ).
cnf(c_0_511,plain,
( incident(a2,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_474]) ).
cnf(c_0_512,plain,
line_equal(b1c1,oc),
inference(spm,[status(thm)],[c_0_129,c_0_509]) ).
cnf(c_0_513,plain,
( incident(c1,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_107]) ).
cnf(c_0_514,plain,
( incident(a2,a1b1)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_129,c_0_476]) ).
cnf(c_0_515,plain,
incident(c2,b1c1),
inference(spm,[status(thm)],[c_0_345,c_0_509]) ).
cnf(c_0_516,plain,
( point_equal(o,b1)
| line_equal(ob,b1c1)
| ~ incident(o,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_106])]) ).
cnf(c_0_517,plain,
incident(o,b1c1),
inference(spm,[status(thm)],[c_0_206,c_0_509]) ).
cnf(c_0_518,plain,
( point_equal(b1,o)
| line_equal(ob,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_510,c_0_507])]) ).
cnf(c_0_519,plain,
incident(a2,oc),
inference(spm,[status(thm)],[c_0_511,c_0_512]) ).
cnf(c_0_520,plain,
( incident(c1,a2c2)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_521,plain,
point_equal(bc,c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_515])]) ).
cnf(c_0_522,plain,
( point_equal(o,b1)
| line_equal(ob,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_517])]) ).
cnf(c_0_523,plain,
( ~ incident(b2,b1c1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_115,c_0_474]) ).
cnf(c_0_524,plain,
( point_equal(X1,a2)
| line_equal(X2,oa)
| ~ incident(a2,X2)
| ~ incident(X1,oa)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_86]) ).
cnf(c_0_525,plain,
( incident(b1,oa)
| line_equal(ob,oc) ),
inference(spm,[status(thm)],[c_0_118,c_0_518]) ).
cnf(c_0_526,plain,
~ incident(b2,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_519]),c_0_113])]) ).
cnf(c_0_527,plain,
( point_equal(ab,a2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_234,c_0_520]) ).
cnf(c_0_528,plain,
incident(bc,a2c2),
inference(spm,[status(thm)],[c_0_124,c_0_521]) ).
cnf(c_0_529,plain,
( incident(o,a1b1)
| line_equal(ob,b1c1) ),
inference(spm,[status(thm)],[c_0_121,c_0_522]) ).
cnf(c_0_530,plain,
~ incident(b2,b1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_523,c_0_515])]) ).
cnf(c_0_531,plain,
( point_equal(o,a2)
| line_equal(b1c1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_517]),c_0_474]),c_0_100])]) ).
cnf(c_0_532,plain,
incident(b1,oa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_525]),c_0_526]) ).
cnf(c_0_533,plain,
( incident(ab,a2c2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_171,c_0_527]) ).
cnf(c_0_534,plain,
~ incident(ab,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_528]),c_0_270]),c_0_271])]) ).
cnf(c_0_535,plain,
incident(o,a1b1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_529]),c_0_530]) ).
cnf(c_0_536,plain,
( incident(o,a2b2)
| line_equal(b1c1,oa) ),
inference(spm,[status(thm)],[c_0_329,c_0_531]) ).
cnf(c_0_537,plain,
~ incident(c1,oa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_532])]) ).
cnf(c_0_538,plain,
( line_equal(a2c2,oc)
| ~ incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_110]),c_0_113])]),c_0_196]) ).
cnf(c_0_539,plain,
incident(c1,a2c2),
inference(sr,[status(thm)],[c_0_533,c_0_534]) ).
cnf(c_0_540,plain,
( point_equal(o,ab)
| ~ incident(o,a2b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_535]),c_0_226])]),c_0_227]) ).
cnf(c_0_541,plain,
incident(o,a2b2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_536]),c_0_537]) ).
cnf(c_0_542,plain,
line_equal(a2c2,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_539])]) ).
cnf(c_0_543,plain,
point_equal(o,ab),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_541])]) ).
cnf(c_0_544,plain,
incident(bc,oc),
inference(spm,[status(thm)],[c_0_264,c_0_512]) ).
cnf(c_0_545,plain,
line_equal(oc,oc),
inference(spm,[status(thm)],[c_0_176,c_0_92]) ).
cnf(c_0_546,plain,
incident(ac,oc),
inference(spm,[status(thm)],[c_0_499,c_0_542]) ).
cnf(c_0_547,plain,
point_equal(ab,o),
inference(spm,[status(thm)],[c_0_82,c_0_543]) ).
cnf(c_0_548,plain,
~ incident(ab,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_544]),c_0_545])]),c_0_546])]) ).
cnf(c_0_549,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_547]),c_0_548]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06 % Problem : GEO169+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.07 % Command : run_ET %s %d
% 0.06/0.25 % Computer : n032.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sat Jun 18 15:35:02 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/1.30 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.10/1.30 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.10/1.30 # Preprocessing time : 0.011 s
% 0.10/1.30
% 0.10/1.30 # Failure: Out of unprocessed clauses!
% 0.10/1.30 # OLD status GaveUp
% 0.10/1.30 # Parsed axioms : 51
% 0.10/1.30 # Removed by relevancy pruning/SinE : 50
% 0.10/1.30 # Initial clauses : 1
% 0.10/1.30 # Removed in clause preprocessing : 0
% 0.10/1.30 # Initial clauses in saturation : 1
% 0.10/1.30 # Processed clauses : 1
% 0.10/1.30 # ...of these trivial : 0
% 0.10/1.30 # ...subsumed : 0
% 0.10/1.30 # ...remaining for further processing : 1
% 0.10/1.30 # Other redundant clauses eliminated : 0
% 0.10/1.30 # Clauses deleted for lack of memory : 0
% 0.10/1.30 # Backward-subsumed : 0
% 0.10/1.30 # Backward-rewritten : 0
% 0.10/1.30 # Generated clauses : 0
% 0.10/1.30 # ...of the previous two non-trivial : 0
% 0.10/1.30 # Contextual simplify-reflections : 0
% 0.10/1.30 # Paramodulations : 0
% 0.10/1.30 # Factorizations : 0
% 0.10/1.30 # Equation resolutions : 0
% 0.10/1.30 # Current number of processed clauses : 1
% 0.10/1.30 # Positive orientable unit clauses : 0
% 0.10/1.30 # Positive unorientable unit clauses: 0
% 0.10/1.30 # Negative unit clauses : 1
% 0.10/1.30 # Non-unit-clauses : 0
% 0.10/1.30 # Current number of unprocessed clauses: 0
% 0.10/1.30 # ...number of literals in the above : 0
% 0.10/1.30 # Current number of archived formulas : 0
% 0.10/1.30 # Current number of archived clauses : 0
% 0.10/1.30 # Clause-clause subsumption calls (NU) : 0
% 0.10/1.30 # Rec. Clause-clause subsumption calls : 0
% 0.10/1.30 # Non-unit clause-clause subsumptions : 0
% 0.10/1.30 # Unit Clause-clause subsumption calls : 0
% 0.10/1.30 # Rewrite failures with RHS unbound : 0
% 0.10/1.30 # BW rewrite match attempts : 0
% 0.10/1.30 # BW rewrite match successes : 0
% 0.10/1.30 # Condensation attempts : 0
% 0.10/1.30 # Condensation successes : 0
% 0.10/1.30 # Termbank termtop insertions : 366
% 0.10/1.30
% 0.10/1.30 # -------------------------------------------------
% 0.10/1.30 # User time : 0.010 s
% 0.10/1.30 # System time : 0.001 s
% 0.10/1.30 # Total time : 0.011 s
% 0.10/1.30 # Maximum resident set size: 2672 pages
% 0.10/1.30 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.10/1.30 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.10/1.30 # Preprocessing time : 0.008 s
% 0.10/1.30
% 0.10/1.30 # Failure: Out of unprocessed clauses!
% 0.10/1.30 # OLD status GaveUp
% 0.10/1.30 # Parsed axioms : 51
% 0.10/1.30 # Removed by relevancy pruning/SinE : 50
% 0.10/1.30 # Initial clauses : 1
% 0.10/1.30 # Removed in clause preprocessing : 0
% 0.10/1.30 # Initial clauses in saturation : 1
% 0.10/1.30 # Processed clauses : 1
% 0.10/1.30 # ...of these trivial : 0
% 0.10/1.30 # ...subsumed : 0
% 0.10/1.30 # ...remaining for further processing : 1
% 0.10/1.30 # Other redundant clauses eliminated : 0
% 0.10/1.30 # Clauses deleted for lack of memory : 0
% 0.10/1.30 # Backward-subsumed : 0
% 0.10/1.30 # Backward-rewritten : 0
% 0.10/1.30 # Generated clauses : 0
% 0.10/1.30 # ...of the previous two non-trivial : 0
% 0.10/1.30 # Contextual simplify-reflections : 0
% 0.10/1.30 # Paramodulations : 0
% 0.10/1.30 # Factorizations : 0
% 0.10/1.30 # Equation resolutions : 0
% 0.10/1.30 # Current number of processed clauses : 1
% 0.10/1.30 # Positive orientable unit clauses : 0
% 0.10/1.30 # Positive unorientable unit clauses: 0
% 0.10/1.30 # Negative unit clauses : 1
% 0.10/1.30 # Non-unit-clauses : 0
% 0.10/1.30 # Current number of unprocessed clauses: 0
% 0.10/1.30 # ...number of literals in the above : 0
% 0.10/1.30 # Current number of archived formulas : 0
% 0.10/1.30 # Current number of archived clauses : 0
% 0.10/1.30 # Clause-clause subsumption calls (NU) : 0
% 0.10/1.30 # Rec. Clause-clause subsumption calls : 0
% 0.10/1.30 # Non-unit clause-clause subsumptions : 0
% 0.10/1.30 # Unit Clause-clause subsumption calls : 0
% 0.10/1.30 # Rewrite failures with RHS unbound : 0
% 0.10/1.30 # BW rewrite match attempts : 0
% 0.10/1.30 # BW rewrite match successes : 0
% 0.10/1.30 # Condensation attempts : 0
% 0.10/1.30 # Condensation successes : 0
% 0.10/1.30 # Termbank termtop insertions : 366
% 0.10/1.30
% 0.10/1.30 # -------------------------------------------------
% 0.10/1.30 # User time : 0.007 s
% 0.10/1.30 # System time : 0.001 s
% 0.10/1.30 # Total time : 0.008 s
% 0.10/1.30 # Maximum resident set size: 2672 pages
% 0.10/1.30 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.10/1.30 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.10/1.30 # Preprocessing time : 0.008 s
% 0.10/1.30
% 0.10/1.30 # Failure: Out of unprocessed clauses!
% 0.10/1.30 # OLD status GaveUp
% 0.10/1.30 # Parsed axioms : 51
% 0.10/1.30 # Removed by relevancy pruning/SinE : 50
% 0.10/1.30 # Initial clauses : 1
% 0.10/1.30 # Removed in clause preprocessing : 0
% 0.10/1.30 # Initial clauses in saturation : 1
% 0.10/1.30 # Processed clauses : 1
% 0.10/1.30 # ...of these trivial : 0
% 0.10/1.30 # ...subsumed : 0
% 0.10/1.30 # ...remaining for further processing : 1
% 0.10/1.30 # Other redundant clauses eliminated : 0
% 0.10/1.30 # Clauses deleted for lack of memory : 0
% 0.10/1.30 # Backward-subsumed : 0
% 0.10/1.30 # Backward-rewritten : 0
% 0.10/1.30 # Generated clauses : 0
% 0.10/1.30 # ...of the previous two non-trivial : 0
% 0.10/1.30 # Contextual simplify-reflections : 0
% 0.10/1.30 # Paramodulations : 0
% 0.10/1.30 # Factorizations : 0
% 0.10/1.30 # Equation resolutions : 0
% 0.10/1.30 # Current number of processed clauses : 1
% 0.10/1.30 # Positive orientable unit clauses : 0
% 0.10/1.30 # Positive unorientable unit clauses: 0
% 0.10/1.30 # Negative unit clauses : 1
% 0.10/1.30 # Non-unit-clauses : 0
% 0.10/1.30 # Current number of unprocessed clauses: 0
% 0.10/1.30 # ...number of literals in the above : 0
% 0.10/1.30 # Current number of archived formulas : 0
% 0.10/1.30 # Current number of archived clauses : 0
% 0.10/1.30 # Clause-clause subsumption calls (NU) : 0
% 0.10/1.30 # Rec. Clause-clause subsumption calls : 0
% 0.10/1.30 # Non-unit clause-clause subsumptions : 0
% 0.10/1.30 # Unit Clause-clause subsumption calls : 0
% 0.10/1.30 # Rewrite failures with RHS unbound : 0
% 0.10/1.30 # BW rewrite match attempts : 0
% 0.10/1.30 # BW rewrite match successes : 0
% 0.10/1.30 # Condensation attempts : 0
% 0.10/1.30 # Condensation successes : 0
% 0.10/1.30 # Termbank termtop insertions : 366
% 0.10/1.30
% 0.10/1.30 # -------------------------------------------------
% 0.10/1.30 # User time : 0.008 s
% 0.10/1.30 # System time : 0.000 s
% 0.10/1.30 # Total time : 0.008 s
% 0.10/1.30 # Maximum resident set size: 2720 pages
% 0.10/1.30 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 0.10/1.30 # Preprocessing time : 0.009 s
% 0.10/1.30
% 0.10/1.30 # Proof found!
% 0.10/1.30 # SZS status Theorem
% 0.10/1.30 # SZS output start CNFRefutation
% See solution above
% 0.10/1.30 # Proof object total steps : 550
% 0.10/1.30 # Proof object clause steps : 479
% 0.10/1.30 # Proof object formula steps : 71
% 0.10/1.30 # Proof object conjectures : 4
% 0.10/1.30 # Proof object clause conjectures : 1
% 0.10/1.30 # Proof object formula conjectures : 3
% 0.10/1.30 # Proof object initial clauses used : 50
% 0.10/1.30 # Proof object initial formulas used : 50
% 0.10/1.30 # Proof object generating inferences : 404
% 0.10/1.30 # Proof object simplifying inferences : 295
% 0.10/1.30 # Training examples: 0 positive, 0 negative
% 0.10/1.30 # Parsed axioms : 51
% 0.10/1.30 # Removed by relevancy pruning/SinE : 0
% 0.10/1.30 # Initial clauses : 51
% 0.10/1.30 # Removed in clause preprocessing : 0
% 0.10/1.30 # Initial clauses in saturation : 51
% 0.10/1.30 # Processed clauses : 8908
% 0.10/1.30 # ...of these trivial : 91
% 0.10/1.30 # ...subsumed : 4327
% 0.10/1.30 # ...remaining for further processing : 4490
% 0.10/1.30 # Other redundant clauses eliminated : 0
% 0.10/1.30 # Clauses deleted for lack of memory : 0
% 0.10/1.30 # Backward-subsumed : 3061
% 0.10/1.30 # Backward-rewritten : 790
% 0.10/1.30 # Generated clauses : 66602
% 0.10/1.30 # ...of the previous two non-trivial : 48854
% 0.10/1.30 # Contextual simplify-reflections : 0
% 0.10/1.30 # Paramodulations : 66600
% 0.10/1.30 # Factorizations : 0
% 0.10/1.30 # Equation resolutions : 0
% 0.10/1.30 # Current number of processed clauses : 637
% 0.10/1.30 # Positive orientable unit clauses : 75
% 0.10/1.30 # Positive unorientable unit clauses: 0
% 0.10/1.30 # Negative unit clauses : 19
% 0.10/1.30 # Non-unit-clauses : 543
% 0.10/1.30 # Current number of unprocessed clauses: 627
% 0.10/1.30 # ...number of literals in the above : 2062
% 0.10/1.30 # Current number of archived formulas : 0
% 0.10/1.30 # Current number of archived clauses : 3853
% 0.10/1.30 # Clause-clause subsumption calls (NU) : 189296
% 0.10/1.30 # Rec. Clause-clause subsumption calls : 45557
% 0.10/1.30 # Non-unit clause-clause subsumptions : 7116
% 0.10/1.30 # Unit Clause-clause subsumption calls : 8280
% 0.10/1.30 # Rewrite failures with RHS unbound : 0
% 0.10/1.30 # BW rewrite match attempts : 27
% 0.10/1.30 # BW rewrite match successes : 27
% 0.10/1.30 # Condensation attempts : 0
% 0.10/1.30 # Condensation successes : 0
% 0.10/1.30 # Termbank termtop insertions : 1244265
% 0.10/1.30
% 0.10/1.30 # -------------------------------------------------
% 0.10/1.30 # User time : 0.627 s
% 0.10/1.30 # System time : 0.016 s
% 0.10/1.30 # Total time : 0.643 s
% 0.10/1.30 # Maximum resident set size: 19276 pages
% 0.10/23.29 eprover: CPU time limit exceeded, terminating
% 0.10/23.29 eprover: CPU time limit exceeded, terminating
% 0.10/23.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.31 eprover: No such file or directory
% 0.10/23.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.31 eprover: No such file or directory
% 0.10/23.31 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.31 eprover: No such file or directory
% 0.10/23.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.32 eprover: No such file or directory
% 0.10/23.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.32 eprover: No such file or directory
% 0.10/23.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.32 eprover: No such file or directory
% 0.10/23.32 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.32 eprover: No such file or directory
% 0.10/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.33 eprover: No such file or directory
% 0.10/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.33 eprover: No such file or directory
% 0.10/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.33 eprover: No such file or directory
% 0.10/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.33 eprover: No such file or directory
% 0.10/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.34 eprover: No such file or directory
% 0.10/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.34 eprover: No such file or directory
% 0.10/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.34 eprover: No such file or directory
% 0.10/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.34 eprover: No such file or directory
% 0.10/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.35 eprover: No such file or directory
% 0.10/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.35 eprover: No such file or directory
% 0.10/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.35 eprover: No such file or directory
% 0.10/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.35 eprover: No such file or directory
% 0.10/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.35 eprover: No such file or directory
% 0.10/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.10/23.36 eprover: No such file or directory
% 0.10/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.10/23.36 eprover: No such file or directory
%------------------------------------------------------------------------------