%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO169+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:27:21 PM UTC 2026
% Result : Theorem 15.01s 3.45s
% Output : CNFRefutation 15.01s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(t2in1,axiom,
( ( incident(c2,a1b1)
& incident(b2,a1c1)
& incident(a2,b1c1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2in1) ).
fof(gap_c,axiom,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_c) ).
fof(gap_a,axiom,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_a) ).
fof(unique,axiom,
! [X1,X2,X3,X4] :
( ( incident(X2,X4)
& incident(X2,X3)
& incident(X1,X4)
& incident(X1,X3) )
=> ( line_equal(X3,X4)
| point_equal(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
fof(gap_b,axiom,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap_b) ).
fof(symmetry_of_point_equal,axiom,
! [X1,X2] :
( point_equal(X1,X2)
=> point_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(ic1a1,axiom,
incident(c1,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1a1) ).
fof(ib2a2,axiom,
incident(b2,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2a2) ).
fof(pcon,axiom,
! [X1,X2,X3] :
( ( incident(X2,X3)
& point_equal(X1,X2) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pcon) ).
fof(symmetry_of_line_equal,axiom,
! [X1,X2] :
( line_equal(X1,X2)
=> line_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(ic1b1,axiom,
incident(c1,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1b1) ).
fof(ib2c2,axiom,
incident(b2,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2c2) ).
fof(notbc,axiom,
( line_equal(b1c1,b2c2)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbc) ).
fof(lcon,axiom,
! [X1,X2,X3] :
( ( line_equal(X2,X3)
& incident(X1,X2) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcon) ).
fof(ic1oc,axiom,
incident(c1,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic1oc) ).
fof(notbb,axiom,
( point_equal(b2,b1)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notbb) ).
fof(ia2b2,axiom,
incident(a2,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2b2) ).
fof(ib1ob,axiom,
incident(b1,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1ob) ).
fof(ib1c1,axiom,
incident(b1,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1c1) ).
fof(ib2ob,axiom,
incident(b2,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2ob) ).
fof(transitivity_of_point_equal,axiom,
! [X1,X2,X3] :
( ( point_equal(X2,X3)
& point_equal(X1,X2) )
=> point_equal(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(ic2oc,axiom,
incident(c2,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2oc) ).
fof(ic2b2,axiom,
incident(c2,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2b2) ).
fof(notcc,axiom,
( point_equal(c2,c1)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notcc) ).
fof(ibc1,axiom,
incident(bc,b1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc1) ).
fof(ibc2,axiom,
incident(bc,b2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ibc2) ).
fof(ioob,axiom,
incident(o,ob),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ioob) ).
fof(iooc,axiom,
incident(o,oc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooc) ).
fof(iooa,axiom,
incident(o,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iooa) ).
fof(notaa,axiom,
( point_equal(a2,a1)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notaa) ).
fof(ia1oa,axiom,
incident(a1,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1oa) ).
fof(ia1c1,axiom,
incident(a1,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1c1) ).
fof(ia2oa,axiom,
incident(a2,oa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2oa) ).
fof(triangle1,axiom,
! [X1] :
( ( incident(c1,X1)
& incident(b1,X1)
& incident(a1,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle1) ).
fof(ia1b1,axiom,
incident(a1,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1b1) ).
fof(ib1a1,axiom,
incident(b1,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1a1) ).
fof(notac,axiom,
( line_equal(a1c1,a2c2)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notac) ).
fof(ia2c2,axiom,
incident(a2,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2c2) ).
fof(triangle2,axiom,
! [X1] :
( ( incident(c2,X1)
& incident(b2,X1)
& incident(a2,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle2) ).
fof(iac1,axiom,
incident(ac,a1c1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac1) ).
fof(iac2,axiom,
incident(ac,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iac2) ).
fof(goal_normal,axiom,
! [X1] :
( ( incident(ab,X1)
& incident(ac,X1)
& incident(bc,X1)
& line_equal(X1,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_normal) ).
fof(reflexivity_of_line_equal,axiom,
! [X1,X2] :
( incident(X1,X2)
=> line_equal(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(iab2,axiom,
incident(ab,a2b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab2) ).
fof(notab,axiom,
( line_equal(a1b1,a2b2)
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notab) ).
fof(iab1,axiom,
incident(ab,a1b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iab1) ).
fof(ic2a2,axiom,
incident(c2,a2c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic2a2) ).
fof(transitivity_of_line_equal,axiom,
! [X1,X2,X3] :
( ( line_equal(X2,X3)
& line_equal(X1,X2) )
=> line_equal(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(t1in2,axiom,
( ( incident(c1,a2b2)
& incident(b1,a2c2)
& incident(a1,b2c2) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1in2) ).
fof(c_0_50,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).
fof(c_0_51,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_52,plain,
( goal
| ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[t2in1])]) ).
fof(c_0_53,negated_conjecture,
~ goal,
inference(fof_nnf,[status(thm)],[c_0_51]) ).
cnf(c_0_54,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_56,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| ~ incident(a2,b1c1) ),
inference(sr,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,plain,
( incident(a2,b1c1)
| incident(c1,a2b2) ),
inference(split_conjunct,[status(thm)],[gap_c]) ).
cnf(c_0_58,plain,
( ~ incident(c2,a1b1)
| ~ incident(b2,a1c1)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,plain,
( incident(b2,a1c1)
| incident(a1,b2c2) ),
inference(split_conjunct,[status(thm)],[gap_a]) ).
fof(c_0_60,plain,
! [X28,X29,X30,X31] :
( line_equal(X30,X31)
| point_equal(X28,X29)
| ~ incident(X29,X31)
| ~ incident(X29,X30)
| ~ incident(X28,X31)
| ~ incident(X28,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])])]) ).
cnf(c_0_61,plain,
( ~ incident(c2,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,plain,
( incident(c2,a1b1)
| incident(b1,a2c2) ),
inference(split_conjunct,[status(thm)],[gap_b]) ).
cnf(c_0_63,plain,
( ~ incident(X4,X3)
| ~ incident(X4,X2)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| line_equal(X2,X3)
| point_equal(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_65,plain,
! [X10,X11] :
( point_equal(X11,X10)
| ~ point_equal(X10,X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_point_equal])])]) ).
cnf(c_0_66,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2b2)
| ~ incident(c1,X2)
| line_equal(X2,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
incident(c1,a1c1),
inference(split_conjunct,[status(thm)],[ic1a1]) ).
cnf(c_0_68,plain,
incident(b2,a2b2),
inference(split_conjunct,[status(thm)],[ib2a2]) ).
fof(c_0_69,plain,
! [X22,X23,X24] :
( incident(X22,X24)
| ~ incident(X23,X24)
| ~ point_equal(X22,X23) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pcon])])]) ).
cnf(c_0_70,plain,
( ~ point_equal(X1,X2)
| point_equal(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,plain,
( line_equal(a1c1,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(b2,c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_59]),c_0_67]),c_0_68])]) ).
cnf(c_0_72,plain,
( ~ incident(X2,X3)
| ~ point_equal(X1,X2)
| incident(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
( line_equal(a1c1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(c1,b2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_74,plain,
! [X17,X18] :
( line_equal(X18,X17)
| ~ line_equal(X17,X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_line_equal])])]) ).
cnf(c_0_75,plain,
( ~ incident(c1,X1)
| line_equal(a1c1,a2b2)
| incident(b2,X1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_76,plain,
incident(c1,b1c1),
inference(split_conjunct,[status(thm)],[ic1b1]) ).
cnf(c_0_77,plain,
( ~ incident(b2,X1)
| line_equal(a1c1,a2b2)
| incident(c1,X1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
incident(b2,b2c2),
inference(split_conjunct,[status(thm)],[ib2c2]) ).
fof(c_0_79,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[notbc])]) ).
fof(c_0_80,plain,
! [X25,X26,X27] :
( incident(X25,X27)
| ~ line_equal(X26,X27)
| ~ incident(X25,X26) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lcon])])]) ).
cnf(c_0_81,plain,
( ~ line_equal(X1,X2)
| line_equal(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,plain,
( line_equal(a1c1,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( line_equal(a1c1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
( ~ line_equal(b1c1,b2c2)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_85,plain,
( ~ line_equal(X2,X3)
| ~ incident(X1,X2)
| incident(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_86,plain,
( line_equal(a2b2,a1c1)
| incident(b2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
( line_equal(a2b2,a1c1)
| incident(c1,b2c2)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_83]) ).
cnf(c_0_88,plain,
incident(c1,oc),
inference(split_conjunct,[status(thm)],[ic1oc]) ).
fof(c_0_89,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[notbb])]) ).
cnf(c_0_90,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b2c2)
| ~ incident(b2,X2)
| line_equal(X2,b2c2)
| point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_63,c_0_78]) ).
cnf(c_0_91,plain,
~ line_equal(b1c1,b2c2),
inference(sr,[status(thm)],[c_0_84,c_0_55]) ).
cnf(c_0_92,plain,
( ~ incident(X1,a2b2)
| incident(X1,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,plain,
incident(a2,a2b2),
inference(split_conjunct,[status(thm)],[ia2b2]) ).
cnf(c_0_94,plain,
( ~ incident(X1,a2b2)
| incident(X1,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_87]) ).
cnf(c_0_95,plain,
( line_equal(a1c1,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_75,c_0_88]) ).
cnf(c_0_96,plain,
incident(b1,ob),
inference(split_conjunct,[status(thm)],[ib1ob]) ).
cnf(c_0_97,plain,
( ~ point_equal(b2,b1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_98,plain,
( ~ incident(c1,b2c2)
| ~ incident(b2,b1c1)
| point_equal(c1,b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_76]),c_0_91]) ).
cnf(c_0_99,plain,
( incident(b2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
( incident(c1,b2c2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_94,c_0_93]) ).
cnf(c_0_101,plain,
( line_equal(a2b2,a1c1)
| incident(b2,oc)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_95]) ).
cnf(c_0_102,plain,
( ~ incident(X1,X2)
| ~ incident(X1,ob)
| ~ incident(b1,X2)
| line_equal(X2,ob)
| point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_63,c_0_96]) ).
cnf(c_0_103,plain,
incident(b1,b1c1),
inference(split_conjunct,[status(thm)],[ib1c1]) ).
cnf(c_0_104,plain,
incident(b2,ob),
inference(split_conjunct,[status(thm)],[ib2ob]) ).
cnf(c_0_105,plain,
~ point_equal(b2,b1),
inference(sr,[status(thm)],[c_0_97,c_0_55]) ).
fof(c_0_106,plain,
! [X12,X13,X14] :
( point_equal(X12,X14)
| ~ point_equal(X13,X14)
| ~ point_equal(X12,X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_point_equal])])]) ).
cnf(c_0_107,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(c1,b2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
cnf(c_0_108,plain,
incident(c2,oc),
inference(split_conjunct,[status(thm)],[ic2oc]) ).
cnf(c_0_109,plain,
incident(c2,b2c2),
inference(split_conjunct,[status(thm)],[ic2b2]) ).
cnf(c_0_110,plain,
( ~ incident(X1,a2b2)
| incident(X1,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_85,c_0_101]) ).
fof(c_0_111,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[notcc])]) ).
cnf(c_0_112,plain,
( line_equal(b1c1,ob)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_99]),c_0_103]),c_0_104])]),c_0_105]) ).
cnf(c_0_113,plain,
( ~ point_equal(X2,X3)
| ~ point_equal(X1,X2)
| point_equal(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_114,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(b2,c1) ),
inference(spm,[status(thm)],[c_0_70,c_0_107]) ).
cnf(c_0_115,plain,
( ~ incident(b2,oc)
| line_equal(oc,b2c2)
| point_equal(c2,b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_108]),c_0_109])]) ).
cnf(c_0_116,plain,
( incident(b2,oc)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_110,c_0_93]) ).
cnf(c_0_117,plain,
( ~ point_equal(c2,c1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_118,plain,
( line_equal(ob,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_81,c_0_112]) ).
cnf(c_0_119,plain,
( ~ point_equal(X1,b2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,plain,
( line_equal(oc,b2c2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(c2,b2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,plain,
~ point_equal(c2,c1),
inference(sr,[status(thm)],[c_0_117,c_0_55]) ).
cnf(c_0_122,plain,
incident(bc,b1c1),
inference(split_conjunct,[status(thm)],[ibc1]) ).
cnf(c_0_123,plain,
incident(bc,b2c2),
inference(split_conjunct,[status(thm)],[ibc2]) ).
cnf(c_0_124,plain,
( ~ incident(X1,ob)
| incident(X1,b1c1)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_118]) ).
cnf(c_0_125,plain,
incident(o,ob),
inference(split_conjunct,[status(thm)],[ioob]) ).
cnf(c_0_126,plain,
( line_equal(oc,b2c2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_127,plain,
( ~ incident(b2,b1c1)
| point_equal(bc,b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_122]),c_0_123])]),c_0_91]) ).
cnf(c_0_128,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b2c2)
| ~ incident(bc,X2)
| line_equal(X2,b2c2)
| point_equal(X1,bc) ),
inference(spm,[status(thm)],[c_0_63,c_0_123]) ).
cnf(c_0_129,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
( ~ incident(X1,oc)
| incident(X1,b2c2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_126]) ).
cnf(c_0_131,plain,
incident(o,oc),
inference(split_conjunct,[status(thm)],[iooc]) ).
cnf(c_0_132,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(bc,b2) ),
inference(spm,[status(thm)],[c_0_127,c_0_99]) ).
cnf(c_0_133,plain,
( ~ incident(o,b2c2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(o,bc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_122])]),c_0_91]) ).
cnf(c_0_134,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(b2,bc) ),
inference(spm,[status(thm)],[c_0_70,c_0_132]) ).
cnf(c_0_136,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(o,bc) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
( ~ point_equal(X1,b2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(X1,bc) ),
inference(spm,[status(thm)],[c_0_113,c_0_135]) ).
cnf(c_0_138,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(bc,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_136]) ).
cnf(c_0_139,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(c1,bc) ),
inference(spm,[status(thm)],[c_0_137,c_0_107]) ).
cnf(c_0_140,plain,
( ~ incident(o,X1)
| incident(bc,X1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_72,c_0_138]) ).
cnf(c_0_141,plain,
incident(o,oa),
inference(split_conjunct,[status(thm)],[iooa]) ).
fof(c_0_142,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[notaa])]) ).
cnf(c_0_143,plain,
incident(a1,oa),
inference(split_conjunct,[status(thm)],[ia1oa]) ).
cnf(c_0_144,plain,
( ~ incident(bc,X1)
| incident(c1,X1)
| incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_139]) ).
cnf(c_0_145,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(bc,oa) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_146,plain,
( ~ point_equal(a2,a1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_147,plain,
( ~ incident(X1,X2)
| ~ incident(X1,oa)
| ~ incident(a1,X2)
| line_equal(X2,oa)
| point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_63,c_0_143]) ).
cnf(c_0_148,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_149,plain,
incident(a1,a1c1),
inference(split_conjunct,[status(thm)],[ia1c1]) ).
cnf(c_0_150,plain,
incident(a2,oa),
inference(split_conjunct,[status(thm)],[ia2oa]) ).
cnf(c_0_151,plain,
~ point_equal(a2,a1),
inference(sr,[status(thm)],[c_0_146,c_0_55]) ).
cnf(c_0_152,plain,
( line_equal(a1c1,oa)
| incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150])]),c_0_151]) ).
cnf(c_0_153,plain,
( ~ incident(X1,a1c1)
| incident(X1,oa)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_85,c_0_152]) ).
fof(c_0_154,plain,
! [X6] :
( goal
| ~ incident(c1,X6)
| ~ incident(b1,X6)
| ~ incident(a1,X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle1])])]) ).
cnf(c_0_155,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1c1)
| ~ incident(a1,X2)
| line_equal(X2,a1c1)
| point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_63,c_0_149]) ).
cnf(c_0_156,plain,
( incident(c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_153,c_0_67]) ).
cnf(c_0_157,plain,
( ~ incident(c1,X1)
| ~ incident(b1,X1)
| ~ incident(a1,X1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_158,plain,
( line_equal(oa,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(c1,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_143]),c_0_67])]) ).
cnf(c_0_159,plain,
( ~ incident(c1,X1)
| ~ incident(b1,X1)
| ~ incident(a1,X1) ),
inference(sr,[status(thm)],[c_0_157,c_0_55]) ).
cnf(c_0_160,plain,
incident(a1,a1b1),
inference(split_conjunct,[status(thm)],[ia1b1]) ).
cnf(c_0_161,plain,
incident(b1,a1b1),
inference(split_conjunct,[status(thm)],[ib1a1]) ).
cnf(c_0_162,plain,
( ~ incident(X1,X2)
| ~ incident(X1,oc)
| ~ incident(o,X2)
| line_equal(X2,oc)
| point_equal(X1,o) ),
inference(spm,[status(thm)],[c_0_63,c_0_131]) ).
cnf(c_0_163,plain,
( ~ incident(a1,X1)
| line_equal(oa,a1c1)
| incident(c1,X1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_158]) ).
cnf(c_0_164,plain,
~ incident(c1,a1b1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161])]) ).
cnf(c_0_165,plain,
( line_equal(oa,oc)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(c1,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_156]),c_0_141]),c_0_88])]) ).
cnf(c_0_166,plain,
( line_equal(oa,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_160]),c_0_164]) ).
fof(c_0_167,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[notac])]) ).
cnf(c_0_168,plain,
( ~ incident(o,X1)
| line_equal(oa,oc)
| incident(c1,X1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_165]) ).
cnf(c_0_169,plain,
( line_equal(a1c1,oa)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_166]) ).
cnf(c_0_170,plain,
( ~ incident(X1,a1c1)
| incident(X1,a2b2)
| incident(b2,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_82]) ).
cnf(c_0_171,plain,
incident(a2,a2c2),
inference(split_conjunct,[status(thm)],[ia2c2]) ).
cnf(c_0_172,plain,
( ~ line_equal(a1c1,a2c2)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
fof(c_0_173,plain,
! [X7] :
( goal
| ~ incident(c2,X7)
| ~ incident(b2,X7)
| ~ incident(a2,X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle2])])]) ).
cnf(c_0_174,plain,
( line_equal(oa,oc)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_168,c_0_125]) ).
cnf(c_0_175,plain,
( ~ incident(X1,a1c1)
| incident(X1,oa)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_169]) ).
cnf(c_0_176,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,b1c1)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_170,c_0_149]) ).
cnf(c_0_177,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2c2)
| ~ incident(a2,X2)
| line_equal(X2,a2c2)
| point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_63,c_0_171]) ).
cnf(c_0_178,plain,
incident(ac,a1c1),
inference(split_conjunct,[status(thm)],[iac1]) ).
cnf(c_0_179,plain,
incident(ac,a2c2),
inference(split_conjunct,[status(thm)],[iac2]) ).
cnf(c_0_180,plain,
~ line_equal(a1c1,a2c2),
inference(sr,[status(thm)],[c_0_172,c_0_55]) ).
cnf(c_0_181,plain,
( ~ incident(X1,oa)
| incident(X1,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_166]) ).
cnf(c_0_182,plain,
( ~ incident(c2,X1)
| ~ incident(b2,X1)
| ~ incident(a2,X1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_183,plain,
( ~ incident(X1,oa)
| incident(X1,oc)
| incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_174]) ).
cnf(c_0_184,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_175,c_0_59]) ).
fof(c_0_185,plain,
! [X5] :
( goal
| ~ incident(ab,X5)
| ~ incident(ac,X5)
| ~ incident(bc,X5)
| ~ line_equal(X5,X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])])]) ).
fof(c_0_186,plain,
! [X15,X16] :
( line_equal(X16,X16)
| ~ incident(X15,X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_line_equal])])]) ).
cnf(c_0_187,plain,
( incident(a1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(bc,b2) ),
inference(spm,[status(thm)],[c_0_127,c_0_176]) ).
cnf(c_0_188,plain,
( ~ incident(a2,a1c1)
| point_equal(ac,a2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179])]),c_0_180]) ).
cnf(c_0_189,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_181,c_0_150]) ).
cnf(c_0_190,plain,
( ~ incident(c2,X1)
| ~ incident(b2,X1)
| ~ incident(a2,X1) ),
inference(sr,[status(thm)],[c_0_182,c_0_55]) ).
cnf(c_0_191,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,ob)
| incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_183,c_0_150]) ).
cnf(c_0_192,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,ob)
| incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_193,plain,
( ~ incident(ab,X1)
| ~ incident(ac,X1)
| ~ incident(bc,X1)
| ~ line_equal(X1,X1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_194,plain,
( ~ incident(X1,X2)
| line_equal(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_195,plain,
( ~ incident(b2,X1)
| incident(bc,X1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_72,c_0_187]) ).
cnf(c_0_196,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(ac,a2) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_197,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b1c1)
| ~ incident(b1,X2)
| line_equal(X2,b1c1)
| point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_63,c_0_103]) ).
cnf(c_0_198,plain,
( incident(c1,ob)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_108])]),c_0_192]) ).
cnf(c_0_199,plain,
( ~ incident(c1,oa)
| line_equal(oa,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(a2,c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_150]),c_0_93])]) ).
cnf(c_0_200,plain,
( ~ incident(ab,X1)
| ~ incident(ac,X1)
| ~ incident(bc,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_193,c_0_55]),c_0_194]) ).
cnf(c_0_201,plain,
( incident(a1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(bc,a2b2) ),
inference(spm,[status(thm)],[c_0_195,c_0_68]) ).
cnf(c_0_202,plain,
incident(ab,a2b2),
inference(split_conjunct,[status(thm)],[iab2]) ).
cnf(c_0_203,plain,
( ~ incident(a2,X1)
| incident(ac,X1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_196]) ).
cnf(c_0_204,plain,
( line_equal(ob,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(c1,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_96]),c_0_76])]) ).
cnf(c_0_205,plain,
( line_equal(oa,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(a2,c1) ),
inference(spm,[status(thm)],[c_0_199,c_0_156]) ).
cnf(c_0_206,plain,
( ~ incident(ac,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a1,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202])]) ).
cnf(c_0_207,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(ac,a2b2) ),
inference(spm,[status(thm)],[c_0_203,c_0_93]) ).
cnf(c_0_208,plain,
( ~ incident(b1,X1)
| line_equal(ob,b1c1)
| incident(c1,X1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_204]) ).
cnf(c_0_209,plain,
( line_equal(oa,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(c1,a2) ),
inference(spm,[status(thm)],[c_0_70,c_0_205]) ).
cnf(c_0_210,plain,
( ~ incident(a1,a2b2)
| ~ incident(c1,oa)
| line_equal(oa,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(a1,c1) ),
inference(spm,[status(thm)],[c_0_66,c_0_143]) ).
cnf(c_0_211,plain,
( incident(a1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_212,plain,
( line_equal(ob,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_161]),c_0_164]) ).
cnf(c_0_213,plain,
( ~ point_equal(X1,c1)
| line_equal(oa,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_113,c_0_209]) ).
cnf(c_0_214,plain,
( line_equal(oa,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| point_equal(a1,c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_156]),c_0_211]) ).
cnf(c_0_215,plain,
( ~ incident(X1,ob)
| incident(X1,b1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_212]) ).
cnf(c_0_216,plain,
( line_equal(oa,a2b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(a1,a2) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_217,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_215,c_0_104]) ).
cnf(c_0_218,plain,
( line_equal(oa,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_216]),c_0_151]) ).
cnf(c_0_219,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| point_equal(bc,b2) ),
inference(spm,[status(thm)],[c_0_127,c_0_217]) ).
cnf(c_0_220,plain,
( line_equal(a2b2,oa)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_218]) ).
cnf(c_0_221,plain,
( ~ incident(b2,X1)
| incident(bc,X1)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_219]) ).
cnf(c_0_222,plain,
( ~ incident(X1,a2b2)
| incident(X1,oa)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_220]) ).
cnf(c_0_223,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(bc,oa) ),
inference(spm,[status(thm)],[c_0_221,c_0_184]) ).
cnf(c_0_224,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(ab,oa) ),
inference(spm,[status(thm)],[c_0_222,c_0_202]) ).
cnf(c_0_225,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(ac,oa) ),
inference(spm,[status(thm)],[c_0_175,c_0_178]) ).
cnf(c_0_226,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b1c1)
| ~ incident(a2,X2)
| line_equal(X2,b1c1)
| incident(c1,a2b2)
| point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_227,plain,
( incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_228,plain,
( line_equal(a2c2,b1c1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(b1,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_171]),c_0_103])]) ).
cnf(c_0_229,plain,
( line_equal(a2c2,b1c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(a2,b1) ),
inference(spm,[status(thm)],[c_0_70,c_0_228]) ).
cnf(c_0_230,plain,
( ~ incident(b1,X1)
| line_equal(a2c2,b1c1)
| incident(a2,X1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_229]) ).
cnf(c_0_231,plain,
( ~ incident(a2,X1)
| line_equal(a2c2,b1c1)
| incident(b1,X1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_72,c_0_228]) ).
fof(c_0_232,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[notab])]) ).
cnf(c_0_233,plain,
( line_equal(a2c2,b1c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_230,c_0_161]) ).
cnf(c_0_234,plain,
( line_equal(a2c2,b1c1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_231,c_0_93]) ).
cnf(c_0_235,plain,
( ~ line_equal(a1b1,a2b2)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_236,plain,
( line_equal(b1c1,a2c2)
| incident(a2,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_233]) ).
cnf(c_0_237,plain,
( line_equal(b1c1,a2c2)
| incident(b1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_81,c_0_234]) ).
cnf(c_0_238,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2b2)
| ~ incident(a2,X2)
| line_equal(X2,a2b2)
| point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_63,c_0_93]) ).
cnf(c_0_239,plain,
~ line_equal(a1b1,a2b2),
inference(sr,[status(thm)],[c_0_235,c_0_55]) ).
cnf(c_0_240,plain,
( ~ incident(X1,b1c1)
| incident(X1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_85,c_0_236]) ).
cnf(c_0_241,plain,
( ~ incident(X1,b1c1)
| incident(X1,a2c2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_237]) ).
cnf(c_0_242,plain,
( line_equal(a2c2,b1c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_230,c_0_96]) ).
cnf(c_0_243,plain,
( ~ incident(b1,a2b2)
| ~ incident(a2,a1b1)
| point_equal(b1,a2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_161]),c_0_239]) ).
cnf(c_0_244,plain,
( incident(a2,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_240,c_0_76]) ).
cnf(c_0_245,plain,
( incident(b1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_241,c_0_76]) ).
cnf(c_0_246,plain,
( line_equal(b1c1,a2c2)
| incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_242]) ).
cnf(c_0_247,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1b1)
| ~ incident(a1,X2)
| line_equal(X2,a1b1)
| point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_63,c_0_160]) ).
cnf(c_0_248,plain,
( incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(b1,a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_249,plain,
( ~ incident(X1,b1c1)
| incident(X1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_85,c_0_246]) ).
cnf(c_0_250,plain,
( ~ incident(a2,a1b1)
| line_equal(oa,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_150]),c_0_143])]),c_0_151]) ).
cnf(c_0_251,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2)
| point_equal(a2,b1) ),
inference(spm,[status(thm)],[c_0_70,c_0_248]) ).
cnf(c_0_252,plain,
( ~ incident(a2,ob)
| line_equal(ob,a2b2)
| point_equal(b2,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_104]),c_0_68])]) ).
cnf(c_0_253,plain,
( incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_249,c_0_76]) ).
cnf(c_0_254,plain,
( line_equal(oa,a1b1)
| incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_250,c_0_244]) ).
cnf(c_0_255,plain,
( ~ point_equal(X1,a2)
| incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_113,c_0_251]) ).
cnf(c_0_256,plain,
( line_equal(ob,a2b2)
| incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(b2,a2) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_257,plain,
( ~ incident(X1,oa)
| incident(X1,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_254]) ).
cnf(c_0_258,plain,
( line_equal(ob,a2b2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_105]) ).
cnf(c_0_259,plain,
incident(ab,a1b1),
inference(split_conjunct,[status(thm)],[iab1]) ).
cnf(c_0_260,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2b2)
| ~ incident(ab,X2)
| line_equal(X2,a2b2)
| point_equal(X1,ab) ),
inference(spm,[status(thm)],[c_0_63,c_0_202]) ).
cnf(c_0_261,plain,
( incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_257,c_0_141]) ).
cnf(c_0_262,plain,
( ~ incident(X1,ob)
| incident(X1,a2b2)
| incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_258]) ).
cnf(c_0_263,plain,
( ~ incident(a2,a1b1)
| point_equal(ab,a2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_259]),c_0_202])]),c_0_239]) ).
cnf(c_0_264,plain,
( ~ incident(o,a2b2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2)
| point_equal(o,ab) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_259])]),c_0_239]) ).
cnf(c_0_265,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_262,c_0_125]) ).
cnf(c_0_266,plain,
( incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(ab,a2) ),
inference(spm,[status(thm)],[c_0_263,c_0_244]) ).
cnf(c_0_267,plain,
( incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(o,ab) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_268,plain,
( ~ incident(a2,X1)
| incident(ab,X1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_266]) ).
cnf(c_0_269,plain,
( ~ incident(ab,X1)
| incident(o,X1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_267]) ).
cnf(c_0_270,plain,
( incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(ab,a2c2) ),
inference(spm,[status(thm)],[c_0_268,c_0_171]) ).
cnf(c_0_271,plain,
( ~ incident(X1,X2)
| ~ incident(X1,oc)
| ~ incident(c1,X2)
| line_equal(X2,oc)
| point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_63,c_0_88]) ).
cnf(c_0_272,plain,
incident(c2,a2c2),
inference(split_conjunct,[status(thm)],[ic2a2]) ).
cnf(c_0_273,plain,
( ~ incident(X1,X2)
| ~ incident(X1,oc)
| ~ incident(c2,X2)
| line_equal(X2,oc)
| point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_63,c_0_108]) ).
cnf(c_0_274,plain,
( incident(c1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(o,a2c2) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_275,plain,
( ~ incident(c1,a2c2)
| line_equal(a2c2,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_108])]),c_0_121]) ).
cnf(c_0_276,plain,
( line_equal(a2c2,oc)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(o,c2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_272]),c_0_131])]),c_0_275]) ).
cnf(c_0_277,plain,
( line_equal(a2c2,oc)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(c2,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_276]) ).
cnf(c_0_278,plain,
( ~ incident(o,X1)
| line_equal(a2c2,oc)
| incident(c2,X1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_277]) ).
cnf(c_0_279,plain,
~ incident(c2,a2b2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_93]),c_0_68])]) ).
cnf(c_0_280,plain,
( line_equal(a2c2,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_265]),c_0_279]),c_0_275]) ).
cnf(c_0_281,plain,
( line_equal(oc,a2c2)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_280]) ).
cnf(c_0_282,plain,
( ~ incident(X1,a2c2)
| incident(X1,oc)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_280]) ).
cnf(c_0_283,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2c2)
| ~ incident(b1,X2)
| line_equal(X2,a2c2)
| incident(a1,b2c2)
| point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_63,c_0_227]) ).
cnf(c_0_284,plain,
( ~ incident(X1,oc)
| incident(X1,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_281]) ).
cnf(c_0_285,plain,
( ~ incident(a2,oc)
| line_equal(oc,b1c1)
| incident(c1,a2b2)
| point_equal(c1,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_88]),c_0_76])]) ).
cnf(c_0_286,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_282,c_0_171]) ).
cnf(c_0_287,plain,
( ~ incident(o,a2c2)
| line_equal(ob,a2c2)
| incident(a1,b2c2)
| point_equal(o,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_125]),c_0_96])]) ).
cnf(c_0_288,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a2c2) ),
inference(spm,[status(thm)],[c_0_284,c_0_131]) ).
cnf(c_0_289,plain,
( ~ incident(X1,X2)
| ~ incident(X1,oa)
| ~ incident(a2,X2)
| line_equal(X2,oa)
| point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_63,c_0_150]) ).
cnf(c_0_290,plain,
( line_equal(oc,b1c1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(c1,a2) ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_291,plain,
( line_equal(ob,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(o,b1) ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_292,plain,
( ~ incident(a2,oc)
| line_equal(oc,oa)
| point_equal(o,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_131]),c_0_141])]) ).
cnf(c_0_293,plain,
( ~ incident(a2,X1)
| line_equal(oc,b1c1)
| incident(c1,X1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_72,c_0_290]) ).
cnf(c_0_294,plain,
( ~ incident(b1,X1)
| line_equal(ob,a2c2)
| incident(o,X1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_291]) ).
cnf(c_0_295,plain,
( line_equal(oc,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(o,a2) ),
inference(spm,[status(thm)],[c_0_292,c_0_286]) ).
cnf(c_0_296,plain,
( line_equal(oc,b1c1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_293,c_0_93]) ).
cnf(c_0_297,plain,
( line_equal(ob,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_294,c_0_161]) ).
cnf(c_0_298,plain,
( ~ incident(a2,X1)
| line_equal(oc,oa)
| incident(o,X1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_72,c_0_295]) ).
cnf(c_0_299,plain,
( line_equal(b1c1,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_81,c_0_296]) ).
cnf(c_0_300,plain,
( ~ incident(X1,ob)
| incident(X1,a2c2)
| incident(o,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_297]) ).
cnf(c_0_301,plain,
~ incident(b2,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_171]),c_0_272])]) ).
cnf(c_0_302,plain,
( line_equal(oc,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_298,c_0_93]) ).
cnf(c_0_303,plain,
( ~ incident(X1,b1c1)
| incident(X1,oc)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_299]) ).
cnf(c_0_304,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(o,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_104]),c_0_301]) ).
cnf(c_0_305,plain,
( ~ incident(X1,oc)
| incident(X1,oa)
| incident(o,a2b2)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_302]) ).
cnf(c_0_306,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(bc,oc) ),
inference(spm,[status(thm)],[c_0_303,c_0_122]) ).
cnf(c_0_307,plain,
( ~ incident(o,a2b2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(o,ab) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_304]),c_0_259])]),c_0_239]) ).
cnf(c_0_308,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a2b2)
| incident(bc,oa) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_309,plain,
( ~ incident(X1,oc)
| incident(X1,b1c1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_296]) ).
cnf(c_0_310,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(bc,oa)
| point_equal(o,ab) ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_311,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_309,c_0_108]) ).
cnf(c_0_312,plain,
( incident(bc,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(ab,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_310]) ).
cnf(c_0_313,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(ac,oc) ),
inference(spm,[status(thm)],[c_0_282,c_0_179]) ).
cnf(c_0_314,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a2b2)
| incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_305,c_0_88]) ).
cnf(c_0_315,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(c2,bc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_311]),c_0_122]),c_0_109])]),c_0_91]) ).
cnf(c_0_316,plain,
( ~ incident(o,X1)
| incident(ab,X1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(bc,oa) ),
inference(spm,[status(thm)],[c_0_72,c_0_312]) ).
cnf(c_0_317,plain,
( ~ incident(ab,oc)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_306]),c_0_313]) ).
cnf(c_0_318,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(c1,oa)
| point_equal(o,ab) ),
inference(spm,[status(thm)],[c_0_307,c_0_314]) ).
cnf(c_0_319,plain,
( ~ incident(bc,X1)
| incident(c2,X1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_315]) ).
cnf(c_0_320,plain,
( incident(bc,oa)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_131]),c_0_317]) ).
cnf(c_0_321,plain,
( incident(c1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(ab,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_318]) ).
cnf(c_0_322,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_323,plain,
( ~ incident(o,X1)
| incident(ab,X1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_72,c_0_321]) ).
cnf(c_0_324,plain,
( ~ incident(c1,oa)
| line_equal(oa,oc)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_322]),c_0_108])]),c_0_121]) ).
cnf(c_0_325,plain,
( incident(c1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_131]),c_0_317]) ).
cnf(c_0_326,plain,
( line_equal(oa,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_327,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1b1)
| ~ incident(b1,X2)
| line_equal(X2,a1b1)
| point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_63,c_0_161]) ).
cnf(c_0_328,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_309,c_0_131]) ).
cnf(c_0_329,plain,
( line_equal(a1b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(o,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_304]),c_0_160]),c_0_141])]) ).
cnf(c_0_330,plain,
( line_equal(oc,oa)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_326]) ).
cnf(c_0_331,plain,
( ~ incident(o,a1b1)
| line_equal(b1c1,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(o,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_103])]) ).
cnf(c_0_332,plain,
( ~ incident(a1,X1)
| line_equal(a1b1,oa)
| incident(o,X1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_72,c_0_329]) ).
cnf(c_0_333,plain,
( ~ incident(X1,oc)
| incident(X1,oa)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_330]) ).
cnf(c_0_334,plain,
( line_equal(b1c1,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| point_equal(o,b1) ),
inference(spm,[status(thm)],[c_0_331,c_0_304]) ).
cnf(c_0_335,plain,
( line_equal(a1b1,oa)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_332,c_0_149]) ).
cnf(c_0_336,plain,
( ~ incident(ab,oa)
| ~ incident(ac,oa)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_200,c_0_320]) ).
cnf(c_0_337,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(ac,oa) ),
inference(spm,[status(thm)],[c_0_333,c_0_313]) ).
cnf(c_0_338,plain,
( line_equal(b1c1,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| point_equal(b1,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_334]) ).
cnf(c_0_339,plain,
( ~ incident(X1,a1b1)
| incident(X1,oa)
| incident(o,a1c1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_335]) ).
cnf(c_0_340,plain,
( ~ incident(ab,oa)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_341,plain,
( ~ incident(o,X1)
| line_equal(b1c1,a1b1)
| incident(b1,X1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_338]) ).
cnf(c_0_342,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_259]),c_0_340]) ).
cnf(c_0_343,plain,
~ incident(b1,a1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_149]),c_0_67])]) ).
cnf(c_0_344,plain,
( line_equal(b1c1,a1b1)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]) ).
cnf(c_0_345,plain,
( ~ incident(X1,b1c1)
| incident(X1,a1b1)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_344]) ).
cnf(c_0_346,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1c1)
| ~ incident(b2,X2)
| line_equal(X2,a1c1)
| incident(a1,b2c2)
| point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_347,plain,
( incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_76]),c_0_164]) ).
cnf(c_0_348,plain,
( line_equal(a2b2,a1c1)
| incident(a1,b2c2)
| point_equal(c1,b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_68]),c_0_67])]) ).
cnf(c_0_349,plain,
( line_equal(a2b2,a1c1)
| incident(a1,b2c2)
| point_equal(b2,c1) ),
inference(spm,[status(thm)],[c_0_70,c_0_348]) ).
cnf(c_0_350,plain,
( ~ incident(c1,X1)
| line_equal(a2b2,a1c1)
| incident(b2,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_349]) ).
cnf(c_0_351,plain,
( ~ incident(b2,X1)
| line_equal(a2b2,a1c1)
| incident(c1,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_348]) ).
cnf(c_0_352,plain,
( line_equal(a2b2,a1c1)
| incident(a1,b2c2)
| incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_350,c_0_76]) ).
cnf(c_0_353,plain,
( line_equal(a2b2,a1c1)
| incident(a1,b2c2)
| incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_351,c_0_78]) ).
cnf(c_0_354,plain,
( ~ incident(X1,a2b2)
| incident(X1,a1c1)
| incident(b2,b1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_352]) ).
cnf(c_0_355,plain,
( ~ incident(X1,a2b2)
| incident(X1,a1c1)
| incident(c1,b2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_353]) ).
cnf(c_0_356,plain,
( incident(a1,b2c2)
| incident(b2,b1c1)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_354,c_0_93]) ).
cnf(c_0_357,plain,
( incident(a1,b2c2)
| incident(c1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_355,c_0_93]) ).
cnf(c_0_358,plain,
( line_equal(a2b2,a1c1)
| incident(a1,b2c2)
| incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_350,c_0_88]) ).
cnf(c_0_359,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| point_equal(c1,b2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_356]),c_0_357]) ).
cnf(c_0_360,plain,
( ~ incident(X1,a2b2)
| incident(X1,a1c1)
| incident(b2,oc)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_358]) ).
cnf(c_0_361,plain,
( ~ incident(b2,b1c1)
| line_equal(ob,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_104]),c_0_96])]),c_0_105]) ).
cnf(c_0_362,plain,
( incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(b2,c1) ),
inference(spm,[status(thm)],[c_0_70,c_0_359]) ).
cnf(c_0_363,plain,
( incident(a1,b2c2)
| incident(b2,oc)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_360,c_0_93]) ).
cnf(c_0_364,plain,
( line_equal(ob,b1c1)
| incident(a2,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_361,c_0_356]) ).
cnf(c_0_365,plain,
( ~ point_equal(X1,b2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_113,c_0_362]) ).
cnf(c_0_366,plain,
( line_equal(oc,b2c2)
| incident(a2,a1c1)
| incident(a1,b2c2)
| point_equal(c2,b2) ),
inference(spm,[status(thm)],[c_0_115,c_0_363]) ).
cnf(c_0_367,plain,
( ~ incident(X1,ob)
| incident(X1,b1c1)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_85,c_0_364]) ).
cnf(c_0_368,plain,
( line_equal(oc,b2c2)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_121]) ).
cnf(c_0_369,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_367,c_0_125]) ).
cnf(c_0_370,plain,
( ~ incident(X1,oc)
| incident(X1,b2c2)
| incident(a2,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_368]) ).
cnf(c_0_371,plain,
( ~ incident(o,b2c2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(o,bc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_369]),c_0_122])]),c_0_91]) ).
cnf(c_0_372,plain,
( incident(a1,b2c2)
| incident(a2,a1c1)
| incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_370,c_0_131]) ).
cnf(c_0_373,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| point_equal(b2,bc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_356]),c_0_122]),c_0_78])]),c_0_91]) ).
cnf(c_0_374,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| point_equal(o,bc) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_375,plain,
( ~ point_equal(X1,b2)
| incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(X1,bc) ),
inference(spm,[status(thm)],[c_0_113,c_0_373]) ).
cnf(c_0_376,plain,
( incident(a1,b2c2)
| incident(a2,a1c1)
| point_equal(bc,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_374]) ).
cnf(c_0_377,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| point_equal(c1,bc) ),
inference(spm,[status(thm)],[c_0_375,c_0_359]) ).
cnf(c_0_378,plain,
( ~ incident(o,X1)
| incident(bc,X1)
| incident(a2,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_376]) ).
cnf(c_0_379,plain,
( ~ incident(bc,X1)
| incident(c1,X1)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_72,c_0_377]) ).
cnf(c_0_380,plain,
( incident(a1,b2c2)
| incident(a2,a1c1)
| incident(bc,oa) ),
inference(spm,[status(thm)],[c_0_378,c_0_141]) ).
cnf(c_0_381,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_382,plain,
( line_equal(a1c1,oa)
| incident(c1,oa)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_381]),c_0_149]),c_0_150])]),c_0_151]) ).
cnf(c_0_383,plain,
( ~ incident(X1,a1c1)
| incident(X1,oa)
| incident(a1,b2c2)
| incident(c1,oa) ),
inference(spm,[status(thm)],[c_0_85,c_0_382]) ).
cnf(c_0_384,plain,
( incident(c1,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_383,c_0_67]) ).
cnf(c_0_385,plain,
( line_equal(oa,a1c1)
| incident(a1,b2c2)
| point_equal(c1,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_384]),c_0_143]),c_0_67])]) ).
cnf(c_0_386,plain,
( ~ incident(a1,X1)
| line_equal(oa,a1c1)
| incident(c1,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_385]) ).
cnf(c_0_387,plain,
( line_equal(oa,oc)
| incident(a1,b2c2)
| point_equal(c1,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_384]),c_0_141]),c_0_88])]) ).
cnf(c_0_388,plain,
( line_equal(oa,a1c1)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_160]),c_0_164]) ).
cnf(c_0_389,plain,
( ~ incident(o,X1)
| line_equal(oa,oc)
| incident(c1,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_387]) ).
cnf(c_0_390,plain,
( line_equal(a1c1,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_388]) ).
cnf(c_0_391,plain,
( line_equal(oa,oc)
| incident(a1,b2c2)
| incident(c1,ob) ),
inference(spm,[status(thm)],[c_0_389,c_0_125]) ).
cnf(c_0_392,plain,
( ~ incident(X1,a1c1)
| incident(X1,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_390]) ).
cnf(c_0_393,plain,
( line_equal(a1c1,a2b2)
| incident(c1,b2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_353]) ).
cnf(c_0_394,plain,
( ~ incident(X1,oa)
| incident(X1,oc)
| incident(c1,ob)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_391]) ).
cnf(c_0_395,plain,
( incident(a1,b2c2)
| incident(b2,oa) ),
inference(spm,[status(thm)],[c_0_392,c_0_59]) ).
cnf(c_0_396,plain,
( ~ incident(X1,a1c1)
| incident(X1,a2b2)
| incident(a1,b2c2)
| incident(c1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_393]) ).
cnf(c_0_397,plain,
( incident(a1,b2c2)
| incident(c1,ob)
| incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_394,c_0_150]) ).
cnf(c_0_398,plain,
( incident(a1,b2c2)
| incident(c1,ob)
| incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_399,plain,
( ~ incident(c1,b2c2)
| point_equal(c1,bc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_76]),c_0_122])]),c_0_91]) ).
cnf(c_0_400,plain,
( incident(c1,b2c2)
| incident(a1,b2c2)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_396,c_0_149]) ).
cnf(c_0_401,plain,
( incident(c1,ob)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_397]),c_0_108])]),c_0_398]) ).
cnf(c_0_402,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| point_equal(c1,bc) ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_403,plain,
( ~ incident(X1,oa)
| incident(X1,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_388]) ).
cnf(c_0_404,plain,
( line_equal(ob,b1c1)
| incident(a1,b2c2)
| point_equal(c1,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_401]),c_0_96]),c_0_76])]) ).
cnf(c_0_405,plain,
( incident(a1,b2c2)
| incident(a1,a2b2)
| point_equal(bc,c1) ),
inference(spm,[status(thm)],[c_0_70,c_0_402]) ).
cnf(c_0_406,plain,
( incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_403,c_0_150]) ).
cnf(c_0_407,plain,
( ~ incident(b1,X1)
| line_equal(ob,b1c1)
| incident(c1,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_404]) ).
cnf(c_0_408,plain,
( ~ incident(c1,X1)
| incident(bc,X1)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_405]) ).
cnf(c_0_409,plain,
( incident(a1,b2c2)
| point_equal(ac,a2) ),
inference(spm,[status(thm)],[c_0_188,c_0_406]) ).
cnf(c_0_410,plain,
( line_equal(ob,b1c1)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_161]),c_0_164]) ).
cnf(c_0_411,plain,
( incident(a1,b2c2)
| incident(a1,a2b2)
| incident(bc,a2b2) ),
inference(spm,[status(thm)],[c_0_408,c_0_347]) ).
cnf(c_0_412,plain,
( ~ incident(a2,X1)
| incident(ac,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_409]) ).
cnf(c_0_413,plain,
( ~ incident(X1,ob)
| incident(X1,b1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_410]) ).
cnf(c_0_414,plain,
( ~ incident(ac,a2b2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_411]),c_0_202])]) ).
cnf(c_0_415,plain,
( incident(a1,b2c2)
| incident(ac,a2b2) ),
inference(spm,[status(thm)],[c_0_412,c_0_93]) ).
cnf(c_0_416,plain,
( incident(a1,b2c2)
| incident(b2,b1c1) ),
inference(spm,[status(thm)],[c_0_413,c_0_104]) ).
cnf(c_0_417,plain,
( ~ incident(a1,a2b2)
| line_equal(a2b2,oa) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_93]),c_0_150])]),c_0_151]) ).
cnf(c_0_418,plain,
( incident(a1,b2c2)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_419,plain,
( incident(a1,b2c2)
| point_equal(bc,b2) ),
inference(spm,[status(thm)],[c_0_127,c_0_416]) ).
cnf(c_0_420,plain,
( line_equal(a2b2,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_421,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b2c2)
| ~ incident(c2,X2)
| line_equal(X2,b2c2)
| point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_63,c_0_109]) ).
cnf(c_0_422,plain,
( ~ incident(b2,X1)
| incident(bc,X1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_419]) ).
cnf(c_0_423,plain,
( ~ incident(X1,a2b2)
| incident(X1,oa)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_420]) ).
cnf(c_0_424,plain,
( ~ incident(a1,b2c2)
| ~ incident(c2,a1b1)
| line_equal(a1b1,b2c2)
| point_equal(a1,c2) ),
inference(spm,[status(thm)],[c_0_421,c_0_160]) ).
cnf(c_0_425,plain,
( incident(a1,b2c2)
| incident(bc,oa) ),
inference(spm,[status(thm)],[c_0_422,c_0_395]) ).
cnf(c_0_426,plain,
( incident(a1,b2c2)
| incident(ab,oa) ),
inference(spm,[status(thm)],[c_0_423,c_0_202]) ).
cnf(c_0_427,plain,
( incident(a1,b2c2)
| incident(ac,oa) ),
inference(spm,[status(thm)],[c_0_392,c_0_178]) ).
cnf(c_0_428,plain,
( ~ incident(a1,b2c2)
| line_equal(a1b1,b2c2)
| incident(b1,a2c2)
| point_equal(a1,c2) ),
inference(spm,[status(thm)],[c_0_424,c_0_62]) ).
cnf(c_0_429,plain,
incident(a1,b2c2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_425]),c_0_426]),c_0_427]) ).
cnf(c_0_430,plain,
( line_equal(a1b1,b2c2)
| incident(b1,a2c2)
| point_equal(a1,c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_429])]) ).
cnf(c_0_431,plain,
( line_equal(a1b1,b2c2)
| incident(b1,a2c2)
| point_equal(c2,a1) ),
inference(spm,[status(thm)],[c_0_70,c_0_430]) ).
cnf(c_0_432,plain,
( ~ incident(a1,X1)
| line_equal(a1b1,b2c2)
| incident(c2,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_431]) ).
cnf(c_0_433,plain,
( ~ incident(c2,X1)
| line_equal(a1b1,b2c2)
| incident(a1,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_430]) ).
cnf(c_0_434,plain,
( line_equal(a1b1,b2c2)
| incident(b1,a2c2)
| incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_432,c_0_149]) ).
cnf(c_0_435,plain,
( line_equal(a1b1,b2c2)
| incident(b1,a2c2)
| incident(a1,a2c2) ),
inference(spm,[status(thm)],[c_0_433,c_0_272]) ).
cnf(c_0_436,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2c2)
| ~ incident(c2,X2)
| line_equal(X2,a2c2)
| point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_63,c_0_272]) ).
cnf(c_0_437,plain,
( ~ incident(X1,a1b1)
| incident(X1,b2c2)
| incident(c2,a1c1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_434]) ).
cnf(c_0_438,plain,
( ~ incident(X1,a1b1)
| incident(X1,b2c2)
| incident(a1,a2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_435]) ).
cnf(c_0_439,plain,
( ~ incident(a1,a2c2)
| ~ incident(c2,a1c1)
| point_equal(a1,c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_149]),c_0_180]) ).
cnf(c_0_440,plain,
( incident(b1,a2c2)
| incident(c2,a1c1)
| incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_437,c_0_161]) ).
cnf(c_0_441,plain,
( incident(b1,a2c2)
| incident(a1,a2c2)
| incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_438,c_0_161]) ).
cnf(c_0_442,plain,
( line_equal(a1b1,b2c2)
| incident(b1,a2c2)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_432,c_0_143]) ).
cnf(c_0_443,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1c1)
| ~ incident(c1,X2)
| line_equal(X2,a1c1)
| point_equal(X1,c1) ),
inference(spm,[status(thm)],[c_0_63,c_0_67]) ).
cnf(c_0_444,plain,
( incident(b1,b2c2)
| incident(b1,a2c2)
| point_equal(a1,c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_441]) ).
cnf(c_0_445,plain,
( ~ incident(X1,a1b1)
| incident(X1,b2c2)
| incident(c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_442]) ).
cnf(c_0_446,plain,
( ~ incident(c2,a1c1)
| line_equal(oc,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_108]),c_0_88])]),c_0_121]) ).
cnf(c_0_447,plain,
( incident(b1,a2c2)
| incident(b1,b2c2)
| point_equal(c2,a1) ),
inference(spm,[status(thm)],[c_0_70,c_0_444]) ).
cnf(c_0_448,plain,
( ~ incident(c2,oa)
| line_equal(oa,a2c2)
| point_equal(a2,c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_150]),c_0_171])]) ).
cnf(c_0_449,plain,
( incident(b1,a2c2)
| incident(c2,oa)
| incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_445,c_0_161]) ).
cnf(c_0_450,plain,
( line_equal(oc,a1c1)
| incident(b1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_446,c_0_440]) ).
cnf(c_0_451,plain,
( ~ point_equal(X1,c2)
| incident(b1,b2c2)
| incident(b1,a2c2)
| point_equal(X1,a1) ),
inference(spm,[status(thm)],[c_0_113,c_0_447]) ).
cnf(c_0_452,plain,
( line_equal(oa,a2c2)
| incident(b1,b2c2)
| incident(b1,a2c2)
| point_equal(a2,c2) ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_453,plain,
( ~ incident(X1,oc)
| incident(X1,a1c1)
| incident(b1,a2c2)
| incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_450]) ).
cnf(c_0_454,plain,
( line_equal(oa,a2c2)
| incident(b1,a2c2)
| incident(b1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_151]) ).
cnf(c_0_455,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2c2)
| ~ incident(ac,X2)
| line_equal(X2,a2c2)
| point_equal(X1,ac) ),
inference(spm,[status(thm)],[c_0_63,c_0_179]) ).
cnf(c_0_456,plain,
( incident(b1,b2c2)
| incident(b1,a2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_453,c_0_131]) ).
cnf(c_0_457,plain,
( ~ incident(X1,oa)
| incident(X1,a2c2)
| incident(b1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_454]) ).
cnf(c_0_458,plain,
( ~ incident(c2,a1c1)
| point_equal(ac,c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_178]),c_0_179])]),c_0_180]) ).
cnf(c_0_459,plain,
( ~ incident(o,a2c2)
| incident(b1,a2c2)
| incident(b1,b2c2)
| point_equal(o,ac) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_178])]),c_0_180]) ).
cnf(c_0_460,plain,
( incident(b1,a2c2)
| incident(b1,b2c2)
| incident(o,a2c2) ),
inference(spm,[status(thm)],[c_0_457,c_0_141]) ).
cnf(c_0_461,plain,
( incident(b1,b2c2)
| incident(b1,a2c2)
| point_equal(ac,c2) ),
inference(spm,[status(thm)],[c_0_458,c_0_440]) ).
cnf(c_0_462,plain,
( incident(b1,b2c2)
| incident(b1,a2c2)
| point_equal(o,ac) ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_463,plain,
( ~ incident(c2,X1)
| incident(ac,X1)
| incident(b1,a2c2)
| incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_461]) ).
cnf(c_0_464,plain,
( ~ incident(ac,X1)
| incident(o,X1)
| incident(b1,a2c2)
| incident(b1,b2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_462]) ).
cnf(c_0_465,plain,
( incident(b1,b2c2)
| incident(b1,a2c2)
| incident(ac,b2c2) ),
inference(spm,[status(thm)],[c_0_463,c_0_109]) ).
cnf(c_0_466,plain,
( ~ incident(X1,X2)
| ~ incident(X1,ob)
| ~ incident(b2,X2)
| line_equal(X2,ob)
| point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_63,c_0_104]) ).
cnf(c_0_467,plain,
( incident(b1,b2c2)
| incident(b1,a2c2)
| incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_468,plain,
( ~ incident(b1,b2c2)
| line_equal(b2c2,ob) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_78]),c_0_104])]),c_0_105]) ).
cnf(c_0_469,plain,
( line_equal(b2c2,ob)
| incident(b1,a2c2)
| point_equal(o,b2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_78]),c_0_125])]),c_0_468]) ).
cnf(c_0_470,plain,
( line_equal(b2c2,ob)
| incident(b1,a2c2)
| point_equal(b2,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_469]) ).
cnf(c_0_471,plain,
( ~ incident(o,X1)
| line_equal(b2c2,ob)
| incident(b2,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_470]) ).
cnf(c_0_472,plain,
( line_equal(b2c2,ob)
| incident(b1,a2c2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_460]),c_0_301]),c_0_468]) ).
cnf(c_0_473,plain,
( ~ incident(X1,b2c2)
| incident(X1,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_472]) ).
fof(c_0_474,plain,
! [X19,X20,X21] :
( line_equal(X19,X21)
| ~ line_equal(X20,X21)
| ~ line_equal(X19,X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_line_equal])])]) ).
cnf(c_0_475,plain,
( incident(b1,a2c2)
| incident(c2,ob) ),
inference(spm,[status(thm)],[c_0_473,c_0_109]) ).
cnf(c_0_476,plain,
( ~ line_equal(X2,X3)
| ~ line_equal(X1,X2)
| line_equal(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_477,plain,
( line_equal(b2c2,a1b1)
| incident(c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_442]) ).
cnf(c_0_478,plain,
( line_equal(ob,oc)
| incident(b1,a2c2)
| point_equal(c2,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_475]),c_0_125]),c_0_108])]) ).
cnf(c_0_479,plain,
( ~ line_equal(X1,b2c2)
| line_equal(X1,a1b1)
| incident(b1,a2c2)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_480,plain,
( line_equal(ob,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_472]) ).
cnf(c_0_481,plain,
( ~ incident(o,X1)
| line_equal(ob,oc)
| incident(c2,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_478]) ).
cnf(c_0_482,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1b1)
| ~ incident(c2,X2)
| line_equal(X2,a1b1)
| incident(b1,a2c2)
| point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_483,plain,
( line_equal(ob,a1b1)
| incident(c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_484,plain,
( line_equal(ob,oc)
| incident(b1,a2c2)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_481,c_0_141]) ).
cnf(c_0_485,plain,
( ~ incident(c2,ob)
| line_equal(ob,a1b1)
| incident(b1,a2c2)
| point_equal(b1,c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_96]),c_0_161])]) ).
cnf(c_0_486,plain,
( ~ line_equal(X1,ob)
| line_equal(X1,a1b1)
| incident(b1,a2c2)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_476,c_0_483]) ).
cnf(c_0_487,plain,
( line_equal(oc,ob)
| incident(c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_484]) ).
cnf(c_0_488,plain,
( line_equal(ob,a1b1)
| incident(b1,a2c2)
| point_equal(b1,c2) ),
inference(spm,[status(thm)],[c_0_485,c_0_475]) ).
cnf(c_0_489,plain,
( line_equal(oc,a1b1)
| incident(c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_490,plain,
( ~ incident(c2,X1)
| line_equal(ob,a1b1)
| incident(b1,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_488]) ).
cnf(c_0_491,plain,
( ~ incident(X1,ob)
| incident(X1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_480]) ).
cnf(c_0_492,plain,
( ~ incident(X1,oc)
| incident(X1,a1b1)
| incident(b1,a2c2)
| incident(c2,oa) ),
inference(spm,[status(thm)],[c_0_85,c_0_489]) ).
cnf(c_0_493,plain,
( line_equal(ob,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_490,c_0_272]) ).
cnf(c_0_494,plain,
( incident(b1,a2c2)
| incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_491,c_0_125]) ).
cnf(c_0_495,plain,
( incident(c2,oa)
| incident(b1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_88]),c_0_164]) ).
cnf(c_0_496,plain,
( ~ incident(c2,ob)
| line_equal(ob,oc)
| point_equal(o,c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_125]),c_0_131])]) ).
cnf(c_0_497,plain,
( ~ line_equal(X1,ob)
| line_equal(X1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_476,c_0_480]) ).
cnf(c_0_498,plain,
( line_equal(a1b1,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_493]) ).
cnf(c_0_499,plain,
( line_equal(b2c2,oa)
| incident(b1,a2c2)
| point_equal(o,a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_494]),c_0_429]),c_0_141])]) ).
cnf(c_0_500,plain,
( line_equal(oa,a2c2)
| incident(b1,a2c2)
| point_equal(c2,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_495]),c_0_150]),c_0_272])]) ).
cnf(c_0_501,plain,
( line_equal(ob,oc)
| incident(b1,a2c2)
| point_equal(o,c2) ),
inference(spm,[status(thm)],[c_0_496,c_0_475]) ).
cnf(c_0_502,plain,
( line_equal(a1b1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_497,c_0_498]) ).
cnf(c_0_503,plain,
( ~ incident(a1,X1)
| line_equal(b2c2,oa)
| incident(o,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_499]) ).
cnf(c_0_504,plain,
( ~ incident(a2,X1)
| line_equal(oa,a2c2)
| incident(c2,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_500]) ).
cnf(c_0_505,plain,
( ~ incident(c2,X1)
| line_equal(ob,oc)
| incident(o,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_501]) ).
cnf(c_0_506,plain,
( line_equal(b2c2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_502]) ).
cnf(c_0_507,plain,
( line_equal(b2c2,oa)
| incident(b1,a2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_503,c_0_149]) ).
cnf(c_0_508,plain,
( line_equal(oa,a2c2)
| incident(b1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_93]),c_0_279]) ).
cnf(c_0_509,plain,
( line_equal(ob,oc)
| incident(b1,a2c2)
| incident(o,a2c2) ),
inference(spm,[status(thm)],[c_0_505,c_0_272]) ).
cnf(c_0_510,plain,
( ~ line_equal(X1,b2c2)
| line_equal(X1,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_476,c_0_506]) ).
cnf(c_0_511,plain,
( line_equal(oa,b2c2)
| incident(o,a1c1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_507]) ).
cnf(c_0_512,plain,
( line_equal(a2c2,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_508]) ).
cnf(c_0_513,plain,
( ~ incident(X1,ob)
| incident(X1,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_493]) ).
cnf(c_0_514,plain,
( incident(b1,a2c2)
| incident(bc,ob) ),
inference(spm,[status(thm)],[c_0_473,c_0_123]) ).
cnf(c_0_515,plain,
( ~ line_equal(X1,ob)
| line_equal(X1,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_476,c_0_493]) ).
cnf(c_0_516,plain,
( line_equal(oc,ob)
| incident(o,a2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_81,c_0_509]) ).
cnf(c_0_517,plain,
( line_equal(oa,a1b1)
| incident(b1,a2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_510,c_0_511]) ).
cnf(c_0_518,plain,
( ~ incident(X1,a2c2)
| incident(X1,oa)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_512]) ).
cnf(c_0_519,plain,
( incident(b1,a2c2)
| incident(bc,a1b1) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_520,plain,
( line_equal(oc,a1b1)
| incident(b1,a2c2)
| incident(o,a2c2) ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_521,plain,
( ~ incident(X1,oa)
| incident(X1,a1b1)
| incident(o,a1c1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_517]) ).
cnf(c_0_522,plain,
( incident(b1,a2c2)
| incident(ac,oa) ),
inference(spm,[status(thm)],[c_0_518,c_0_179]) ).
cnf(c_0_523,plain,
( ~ incident(ac,a1b1)
| incident(b1,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_519]),c_0_259])]) ).
cnf(c_0_524,plain,
( ~ incident(X1,oc)
| incident(X1,a1b1)
| incident(o,a2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_520]) ).
cnf(c_0_525,plain,
( incident(b1,a2c2)
| incident(o,a1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_522]),c_0_523]) ).
cnf(c_0_526,plain,
( incident(b1,a2c2)
| incident(o,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_88]),c_0_164]) ).
cnf(c_0_527,plain,
( incident(b1,a2c2)
| point_equal(o,ac) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_525]),c_0_178])]),c_0_180]),c_0_526]) ).
fof(c_0_528,plain,
( goal
| ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[t1in2])]) ).
cnf(c_0_529,plain,
( incident(b1,a2c2)
| point_equal(ac,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_527]) ).
cnf(c_0_530,plain,
( ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_528]) ).
cnf(c_0_531,plain,
( ~ incident(o,X1)
| incident(ac,X1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_529]) ).
cnf(c_0_532,plain,
( ~ incident(X1,a1b1)
| incident(X1,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_498]) ).
cnf(c_0_533,plain,
( ~ incident(c1,a2b2)
| ~ incident(b1,a2c2)
| ~ incident(a1,b2c2) ),
inference(sr,[status(thm)],[c_0_530,c_0_55]) ).
cnf(c_0_534,plain,
( ~ incident(ab,ob)
| ~ incident(ac,ob)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_200,c_0_514]) ).
cnf(c_0_535,plain,
( incident(b1,a2c2)
| incident(ac,ob) ),
inference(spm,[status(thm)],[c_0_531,c_0_125]) ).
cnf(c_0_536,plain,
( incident(b1,a2c2)
| incident(ab,ob) ),
inference(spm,[status(thm)],[c_0_532,c_0_259]) ).
cnf(c_0_537,plain,
( ~ incident(b1,a2c2)
| ~ incident(a2,b1c1)
| line_equal(b1c1,a2c2)
| point_equal(b1,a2) ),
inference(spm,[status(thm)],[c_0_177,c_0_103]) ).
cnf(c_0_538,plain,
( ~ incident(c1,a2b2)
| ~ incident(b1,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_429])]) ).
cnf(c_0_539,plain,
incident(b1,a2c2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536]) ).
cnf(c_0_540,plain,
( ~ incident(b1,a2c2)
| line_equal(b1c1,a2c2)
| incident(c1,a2b2)
| point_equal(b1,a2) ),
inference(spm,[status(thm)],[c_0_537,c_0_57]) ).
cnf(c_0_541,plain,
~ incident(c1,a2b2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_539])]) ).
cnf(c_0_542,plain,
( line_equal(b1c1,a2c2)
| point_equal(b1,a2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_539])]),c_0_541]) ).
cnf(c_0_543,plain,
( line_equal(b1c1,a2c2)
| point_equal(a2,b1) ),
inference(spm,[status(thm)],[c_0_70,c_0_542]) ).
cnf(c_0_544,plain,
( ~ incident(b1,X1)
| line_equal(b1c1,a2c2)
| incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_543]) ).
cnf(c_0_545,plain,
( ~ incident(a2,X1)
| line_equal(b1c1,a2c2)
| incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_542]) ).
cnf(c_0_546,plain,
( line_equal(b1c1,a2c2)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_544,c_0_161]) ).
cnf(c_0_547,plain,
( line_equal(b1c1,a2c2)
| incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_545,c_0_93]) ).
cnf(c_0_548,plain,
( ~ incident(X1,b1c1)
| incident(X1,a2c2)
| incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_85,c_0_546]) ).
cnf(c_0_549,plain,
( ~ incident(X1,b1c1)
| incident(X1,a2c2)
| incident(b1,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_547]) ).
cnf(c_0_550,plain,
( incident(a2,a1b1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_548,c_0_76]) ).
cnf(c_0_551,plain,
( incident(b1,a2b2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_549,c_0_76]) ).
cnf(c_0_552,plain,
( line_equal(b1c1,a2c2)
| incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_544,c_0_96]) ).
cnf(c_0_553,plain,
( incident(c1,a2c2)
| point_equal(b1,a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_550]),c_0_551]) ).
cnf(c_0_554,plain,
( ~ incident(X1,b1c1)
| incident(X1,a2c2)
| incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_85,c_0_552]) ).
cnf(c_0_555,plain,
( incident(c1,a2c2)
| point_equal(a2,b1) ),
inference(spm,[status(thm)],[c_0_70,c_0_553]) ).
cnf(c_0_556,plain,
( incident(a2,ob)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_554,c_0_76]) ).
cnf(c_0_557,plain,
( line_equal(oa,a1b1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_250,c_0_550]) ).
cnf(c_0_558,plain,
( ~ point_equal(X1,a2)
| incident(c1,a2c2)
| point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_113,c_0_555]) ).
cnf(c_0_559,plain,
( line_equal(ob,a2b2)
| incident(c1,a2c2)
| point_equal(b2,a2) ),
inference(spm,[status(thm)],[c_0_252,c_0_556]) ).
cnf(c_0_560,plain,
( ~ incident(X1,oa)
| incident(X1,a1b1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_557]) ).
cnf(c_0_561,plain,
( line_equal(ob,a2b2)
| incident(c1,a2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_105]) ).
cnf(c_0_562,plain,
( incident(c1,a2c2)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_560,c_0_141]) ).
cnf(c_0_563,plain,
( ~ incident(X1,ob)
| incident(X1,a2b2)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_85,c_0_561]) ).
cnf(c_0_564,plain,
( ~ incident(o,a2b2)
| incident(c1,a2c2)
| point_equal(o,ab) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_562]),c_0_259])]),c_0_239]) ).
cnf(c_0_565,plain,
( incident(c1,a2c2)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_563,c_0_125]) ).
cnf(c_0_566,plain,
( incident(c1,a2c2)
| point_equal(a2,ab) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_550]),c_0_259]),c_0_93])]),c_0_239]) ).
cnf(c_0_567,plain,
( incident(c1,a2c2)
| point_equal(o,ab) ),
inference(spm,[status(thm)],[c_0_564,c_0_565]) ).
cnf(c_0_568,plain,
( ~ point_equal(X1,a2)
| incident(c1,a2c2)
| point_equal(X1,ab) ),
inference(spm,[status(thm)],[c_0_113,c_0_566]) ).
cnf(c_0_569,plain,
( incident(c1,a2c2)
| point_equal(ab,o) ),
inference(spm,[status(thm)],[c_0_70,c_0_567]) ).
cnf(c_0_570,plain,
( incident(c1,a2c2)
| point_equal(b1,ab) ),
inference(spm,[status(thm)],[c_0_568,c_0_553]) ).
cnf(c_0_571,plain,
( ~ incident(o,X1)
| incident(ab,X1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_569]) ).
cnf(c_0_572,plain,
( ~ incident(ab,X1)
| incident(b1,X1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_570]) ).
cnf(c_0_573,plain,
( incident(c1,a2c2)
| incident(ab,oc) ),
inference(spm,[status(thm)],[c_0_571,c_0_131]) ).
cnf(c_0_574,plain,
( incident(c1,a2c2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_572,c_0_573]) ).
cnf(c_0_575,plain,
( line_equal(a2c2,oc)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_275,c_0_574]) ).
cnf(c_0_576,plain,
( ~ incident(X1,a2c2)
| incident(X1,oc)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_85,c_0_575]) ).
cnf(c_0_577,plain,
( ~ incident(b1,oc)
| line_equal(oc,b1c1)
| point_equal(c1,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_88]),c_0_76])]) ).
cnf(c_0_578,plain,
incident(b1,oc),
inference(spm,[status(thm)],[c_0_576,c_0_539]) ).
cnf(c_0_579,plain,
( line_equal(oc,b1c1)
| point_equal(c1,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_577,c_0_578])]) ).
cnf(c_0_580,plain,
( ~ incident(b1,X1)
| line_equal(oc,b1c1)
| incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_579]) ).
cnf(c_0_581,plain,
incident(a2,b1c1),
inference(sr,[status(thm)],[c_0_57,c_0_541]) ).
cnf(c_0_582,plain,
line_equal(oc,b1c1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_161]),c_0_164]) ).
cnf(c_0_583,plain,
( ~ incident(b1,oc)
| line_equal(oc,ob)
| point_equal(o,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_131]),c_0_125])]) ).
cnf(c_0_584,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b1c1)
| ~ incident(a2,X2)
| line_equal(X2,b1c1)
| point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_63,c_0_581]) ).
cnf(c_0_585,plain,
( ~ incident(X1,oc)
| incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_85,c_0_582]) ).
cnf(c_0_586,plain,
( ~ incident(b1,oc)
| line_equal(ob,oc)
| point_equal(b1,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_96]),c_0_125])]) ).
cnf(c_0_587,plain,
( line_equal(oc,ob)
| point_equal(o,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_583,c_0_578])]) ).
cnf(c_0_588,plain,
( ~ incident(o,b1c1)
| line_equal(oa,b1c1)
| point_equal(o,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_141]),c_0_150])]) ).
cnf(c_0_589,plain,
incident(o,b1c1),
inference(spm,[status(thm)],[c_0_585,c_0_131]) ).
cnf(c_0_590,plain,
( line_equal(ob,oc)
| point_equal(b1,o) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_586,c_0_578])]) ).
cnf(c_0_591,plain,
line_equal(b1c1,oc),
inference(spm,[status(thm)],[c_0_81,c_0_582]) ).
cnf(c_0_592,plain,
( ~ incident(c2,b1c1)
| point_equal(bc,c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_122]),c_0_123])]),c_0_91]) ).
cnf(c_0_593,plain,
incident(c2,b1c1),
inference(spm,[status(thm)],[c_0_585,c_0_108]) ).
cnf(c_0_594,plain,
( ~ incident(b1,X1)
| line_equal(oc,ob)
| incident(o,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_587]) ).
cnf(c_0_595,plain,
( line_equal(oa,b1c1)
| point_equal(o,a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_589])]) ).
cnf(c_0_596,plain,
( ~ incident(o,X1)
| line_equal(ob,oc)
| incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_590]) ).
cnf(c_0_597,plain,
( ~ incident(X1,b1c1)
| incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_85,c_0_591]) ).
cnf(c_0_598,plain,
point_equal(bc,c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_593])]) ).
cnf(c_0_599,plain,
( line_equal(oc,ob)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_594,c_0_161]) ).
cnf(c_0_600,plain,
( ~ incident(a2,X1)
| line_equal(oa,b1c1)
| incident(o,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_595]) ).
cnf(c_0_601,plain,
( line_equal(ob,oc)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_596,c_0_141]) ).
cnf(c_0_602,plain,
incident(a2,oc),
inference(spm,[status(thm)],[c_0_597,c_0_581]) ).
cnf(c_0_603,plain,
( incident(c1,a2c2)
| point_equal(ab,a2) ),
inference(spm,[status(thm)],[c_0_263,c_0_550]) ).
cnf(c_0_604,plain,
( ~ incident(c2,X1)
| incident(bc,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_598]) ).
cnf(c_0_605,plain,
( line_equal(ob,oc)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_81,c_0_599]) ).
cnf(c_0_606,plain,
( line_equal(oa,b1c1)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_600,c_0_93]) ).
cnf(c_0_607,plain,
( ~ incident(X1,ob)
| incident(X1,oc)
| incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_85,c_0_601]) ).
cnf(c_0_608,plain,
~ incident(b2,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_602]),c_0_108])]) ).
cnf(c_0_609,plain,
( ~ incident(a2,X1)
| incident(ab,X1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_72,c_0_603]) ).
cnf(c_0_610,plain,
incident(bc,a2c2),
inference(spm,[status(thm)],[c_0_604,c_0_272]) ).
cnf(c_0_611,plain,
( ~ incident(X1,ob)
| incident(X1,oc)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_85,c_0_605]) ).
cnf(c_0_612,plain,
( line_equal(b1c1,oa)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_81,c_0_606]) ).
cnf(c_0_613,plain,
( ~ incident(c1,oa)
| ~ incident(b1,oa) ),
inference(spm,[status(thm)],[c_0_159,c_0_143]) ).
cnf(c_0_614,plain,
incident(b1,oa),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_104]),c_0_608]) ).
cnf(c_0_615,plain,
( incident(c1,a2c2)
| incident(ab,a2c2) ),
inference(spm,[status(thm)],[c_0_609,c_0_171]) ).
cnf(c_0_616,plain,
~ incident(ab,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_610]),c_0_179])]) ).
cnf(c_0_617,plain,
incident(o,a1b1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_104]),c_0_608]) ).
cnf(c_0_618,plain,
( ~ incident(X1,b1c1)
| incident(X1,oa)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_85,c_0_612]) ).
cnf(c_0_619,plain,
~ incident(c1,oa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_614])]) ).
cnf(c_0_620,plain,
incident(c1,a2c2),
inference(sr,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_621,plain,
( ~ incident(o,a2b2)
| point_equal(o,ab) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_617]),c_0_259])]),c_0_239]) ).
cnf(c_0_622,plain,
incident(o,a2b2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_76]),c_0_619]) ).
cnf(c_0_623,plain,
line_equal(a2c2,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_620])]) ).
cnf(c_0_624,plain,
point_equal(o,ab),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_621,c_0_622])]) ).
cnf(c_0_625,plain,
incident(bc,oc),
inference(spm,[status(thm)],[c_0_597,c_0_122]) ).
cnf(c_0_626,plain,
( ~ incident(X1,a2c2)
| incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_85,c_0_623]) ).
cnf(c_0_627,plain,
point_equal(ab,o),
inference(spm,[status(thm)],[c_0_70,c_0_624]) ).
cnf(c_0_628,plain,
( ~ incident(ab,oc)
| ~ incident(ac,oc) ),
inference(spm,[status(thm)],[c_0_200,c_0_625]) ).
cnf(c_0_629,plain,
incident(ac,oc),
inference(spm,[status(thm)],[c_0_626,c_0_179]) ).
cnf(c_0_630,plain,
( ~ incident(o,X1)
| incident(ab,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_627]) ).
cnf(c_0_631,plain,
~ incident(ab,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_628,c_0_629])]) ).
cnf(c_0_632,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_131]),c_0_631]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO169+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 12:58:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.01/3.45 % Version: 3.5.1
% 15.01/3.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 15.01/3.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.01/3.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 15.01/3.45 % Starting new_bool_3 with 300s (1) cores
% 15.01/3.45 % Starting new_bool_1 with 300s (1) cores
% 15.01/3.45 % Starting sh5l with 300s (1) cores
% 15.01/3.45 % new_bool_3 with pid 3287878 completed with status 9
% 15.01/3.45 % new_bool_1 with pid 3287879 completed with status 9
% 15.01/3.45 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3287877 completed with status 0
% 15.01/3.45 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 15.01/3.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 15.01/3.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.01/3.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 15.01/3.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.01/3.45 % No SInE strategy applied
% 15.01/3.45 % Search class: FGUNF-FFMM00-SFFFFFNN
% 15.01/3.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.01/3.45 % Starting SubtermCWHack with 136s (1) cores
% 15.01/3.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 15.01/3.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 15.01/3.45 % Starting new_bool_3 with 136s (1) cores
% 15.01/3.45 % Starting new_bool_1 with 136s (1) cores
% 15.01/3.45 % new_bool_1 with pid 3287890 completed with status 0
% 15.01/3.45 % Result found by new_bool_1
% 15.01/3.45 % Preprocessing class: FSMSSMSMSSSNFFN.
% 15.01/3.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.01/3.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 15.01/3.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.01/3.45 % No SInE strategy applied
% 15.01/3.45 % Search class: FGUNF-FFMM00-SFFFFFNN
% 15.01/3.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 15.01/3.45 % Starting SubtermCWHack with 136s (1) cores
% 15.01/3.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 15.01/3.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 15.01/3.45 % Starting new_bool_3 with 136s (1) cores
% 15.01/3.45 % Starting new_bool_1 with 136s (1) cores
% 15.01/3.45 % Preprocessing time : 0.002 s
% 15.01/3.45 % Presaturation interreduction done
% 15.01/3.45
% 15.01/3.45 % Proof found!
% 15.01/3.45 % SZS status Theorem
% 15.01/3.45 % SZS output start CNFRefutation
% See solution above
% 15.01/3.46 % Parsed axioms : 51
% 15.01/3.46 % Removed by relevancy pruning/SinE : 0
% 15.01/3.46 % Initial clauses : 51
% 15.01/3.46 % Removed in clause preprocessing : 0
% 15.01/3.46 % Initial clauses in saturation : 51
% 15.01/3.46 % Processed clauses : 12595
% 15.01/3.46 % ...of these trivial : 113
% 15.01/3.46 % ...subsumed : 6409
% 15.01/3.46 % ...remaining for further processing : 6073
% 15.01/3.46 % Other redundant clauses eliminated : 0
% 15.01/3.46 % Clauses deleted for lack of memory : 0
% 15.01/3.46 % Backward-subsumed : 4233
% 15.01/3.46 % Backward-rewritten : 1084
% 15.01/3.46 % Generated clauses : 58056
% 15.01/3.46 % ...of the previous two non-redundant : 43081
% 15.01/3.46 % ...aggressively subsumed : 0
% 15.01/3.46 % Contextual simplify-reflections : 288
% 15.01/3.46 % Paramodulations : 58054
% 15.01/3.46 % Factorizations : 0
% 15.01/3.46 % NegExts : 0
% 15.01/3.46 % Equation resolutions : 0
% 15.01/3.46 % Disequality decompositions : 0
% 15.01/3.46 % Total rewrite steps : 29602
% 15.01/3.46 % ...of those cached : 29527
% 15.01/3.46 % Propositional unsat checks : 1
% 15.01/3.46 % Propositional check models : 1
% 15.01/3.46 % Propositional check unsatisfiable : 0
% 15.01/3.46 % Propositional clauses : 0
% 15.01/3.46 % Propositional clauses after purity: 0
% 15.01/3.46 % Propositional unsat core size : 0
% 15.01/3.46 % Propositional preprocessing time : 0.000
% 15.01/3.46 % Propositional encoding time : 0.002
% 15.01/3.46 % Propositional solver time : 0.001
% 15.01/3.46 % Success case prop preproc time : 0.000
% 15.01/3.46 % Success case prop encoding time : 0.000
% 15.01/3.46 % Success case prop solver time : 0.000
% 15.01/3.46 % Current number of processed clauses : 703
% 15.01/3.46 % Positive orientable unit clauses : 75
% 15.01/3.46 % Positive unorientable unit clauses: 0
% 15.01/3.46 % Negative unit clauses : 19
% 15.01/3.46 % Non-unit-clauses : 609
% 15.01/3.46 % Current number of unprocessed clauses: 2096
% 15.01/3.46 % ...number of literals in the above : 7951
% 15.01/3.46 % Current number of archived formulas : 0
% 15.01/3.46 % Current number of archived clauses : 5370
% 15.01/3.46 % Clause-clause subsumption calls (NU) : 713191
% 15.01/3.46 % Rec. Clause-clause subsumption calls : 115238
% 15.01/3.46 % Non-unit clause-clause subsumptions : 10315
% 15.01/3.46 % Unit Clause-clause subsumption calls : 7576
% 15.01/3.46 % Rewrite failures with RHS unbound : 0
% 15.01/3.46 % BW rewrite match attempts : 31
% 15.01/3.46 % BW rewrite match successes : 31
% 15.01/3.46 % Condensation attempts : 0
% 15.01/3.46 % Condensation successes : 0
% 15.01/3.46 % Termbank termtop insertions : 975990
% 15.01/3.46 % Search garbage collected termcells : 272
% 15.01/3.46
% 15.01/3.46 % -------------------------------------------------
% 15.01/3.46 % User time : 2.958 s
% 15.01/3.46 % System time : 0.021 s
% 15.01/3.46 % Total time : 2.979 s
% 15.01/3.46 % Maximum resident set size: 3668 pages
% 15.01/3.46
% 15.01/3.46 % -------------------------------------------------
% 15.01/3.46 % User time : 14.738 s
% 15.01/3.46 % System time : 0.253 s
% 15.01/3.46 % Total time : 14.992 s
% 15.01/3.46 % Maximum resident set size: 4864 pages
% 15.01/3.46 % E exiting
%------------------------------------------------------------------------------