TSTP Solution File: GEO169+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:46:27 EDT 2023
% Result : Theorem 5.58s 5.67s
% Output : CNFRefutation 5.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
line_equal: ( $i * $i ) > $o ).
tff(decl_23,type,
bc: $i ).
tff(decl_24,type,
incident: ( $i * $i ) > $o ).
tff(decl_25,type,
ac: $i ).
tff(decl_26,type,
ab: $i ).
tff(decl_27,type,
goal: $o ).
tff(decl_28,type,
a1: $i ).
tff(decl_29,type,
b2c2: $i ).
tff(decl_30,type,
b1: $i ).
tff(decl_31,type,
a2c2: $i ).
tff(decl_32,type,
c1: $i ).
tff(decl_33,type,
a2b2: $i ).
tff(decl_34,type,
a2: $i ).
tff(decl_35,type,
b1c1: $i ).
tff(decl_36,type,
b2: $i ).
tff(decl_37,type,
a1c1: $i ).
tff(decl_38,type,
c2: $i ).
tff(decl_39,type,
a1b1: $i ).
tff(decl_40,type,
o: $i ).
tff(decl_41,type,
oa: $i ).
tff(decl_42,type,
ob: $i ).
tff(decl_43,type,
oc: $i ).
tff(decl_44,type,
point_equal: ( $i * $i ) > $o ).
fof(t2in1,axiom,
( ( incident(a2,b1c1)
& incident(b2,a1c1)
& incident(c2,a1b1) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2in1) ).
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(gap_b,axiom,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_b) ).
fof(gap_a,axiom,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_a) ).
fof(unique,axiom,
! [X1,X2,X3,X4] :
( ( incident(X1,X3)
& incident(X1,X4)
& incident(X2,X3)
& incident(X2,X4) )
=> ( point_equal(X1,X2)
| line_equal(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(gap_c,axiom,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap_c) ).
fof(ic1a1,axiom,
incident(c1,a1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1a1) ).
fof(pcon,axiom,
! [X1,X2,X3] :
( ( point_equal(X1,X2)
& incident(X2,X3) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pcon) ).
fof(ib2a2,axiom,
incident(b2,a2b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2a2) ).
fof(lcon,axiom,
! [X1,X2,X3] :
( ( incident(X1,X2)
& line_equal(X2,X3) )
=> incident(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcon) ).
fof(symmetry_of_line_equal,axiom,
! [X1,X2] :
( line_equal(X1,X2)
=> line_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_line_equal) ).
fof(ic1b1,axiom,
incident(c1,b1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1b1) ).
fof(ic1oc,axiom,
incident(c1,oc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic1oc) ).
fof(ia2b2,axiom,
incident(a2,a2b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2b2) ).
fof(notbc,axiom,
( line_equal(b1c1,b2c2)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbc) ).
fof(ic2oc,axiom,
incident(c2,oc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2oc) ).
fof(ib2c2,axiom,
incident(b2,b2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2c2) ).
fof(ic2b2,axiom,
incident(c2,b2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2b2) ).
fof(triangle2,axiom,
! [X1] :
( ( incident(a2,X1)
& incident(b2,X1)
& incident(c2,X1) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle2) ).
fof(ia1oa,axiom,
incident(a1,oa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1oa) ).
fof(notaa,axiom,
( point_equal(a2,a1)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notaa) ).
fof(notac,axiom,
( line_equal(a1c1,a2c2)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notac) ).
fof(ibc2,axiom,
incident(bc,b2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc2) ).
fof(ibc1,axiom,
incident(bc,b1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibc1) ).
fof(ic2a2,axiom,
incident(c2,a2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic2a2) ).
fof(ia2c2,axiom,
incident(a2,a2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2c2) ).
fof(ib1c1,axiom,
incident(b1,b1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1c1) ).
fof(notbb,axiom,
( point_equal(b2,b1)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notbb) ).
fof(ia1c1,axiom,
incident(a1,a1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1c1) ).
fof(notab,axiom,
( line_equal(a1b1,a2b2)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notab) ).
fof(iac2,axiom,
incident(ac,a2c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac2) ).
fof(ib1ob,axiom,
incident(b1,ob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1ob) ).
fof(ia2oa,axiom,
incident(a2,oa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2oa) ).
fof(iab2,axiom,
incident(ab,a2b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab2) ).
fof(symmetry_of_point_equal,axiom,
! [X1,X2] :
( point_equal(X1,X2)
=> point_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_point_equal) ).
fof(iac1,axiom,
incident(ac,a1c1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iac1) ).
fof(iooc,axiom,
incident(o,oc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooc) ).
fof(ioob,axiom,
incident(o,ob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ioob) ).
fof(ib2ob,axiom,
incident(b2,ob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2ob) ).
fof(iooa,axiom,
incident(o,oa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iooa) ).
fof(iab1,axiom,
incident(ab,a1b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iab1) ).
fof(goal_normal,axiom,
! [X1] :
( ( line_equal(X1,X1)
& incident(bc,X1)
& incident(ac,X1)
& incident(ab,X1) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_normal) ).
fof(reflexivity_of_line_equal,axiom,
! [X1,X2] :
( incident(X1,X2)
=> line_equal(X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_line_equal) ).
fof(triangle1,axiom,
! [X1] :
( ( incident(a1,X1)
& incident(b1,X1)
& incident(c1,X1) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle1) ).
fof(notcc,axiom,
( point_equal(c2,c1)
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notcc) ).
fof(transitivity_of_line_equal,axiom,
! [X1,X2,X3] :
( ( line_equal(X1,X2)
& line_equal(X2,X3) )
=> line_equal(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_line_equal) ).
fof(transitivity_of_point_equal,axiom,
! [X1,X2,X3] :
( ( point_equal(X1,X2)
& point_equal(X2,X3) )
=> point_equal(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_point_equal) ).
fof(ia1b1,axiom,
incident(a1,a1b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1b1) ).
fof(ib1a1,axiom,
incident(b1,a1b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1a1) ).
fof(reflexivity_of_point_equal,axiom,
! [X1,X2] :
( incident(X1,X2)
=> point_equal(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_point_equal) ).
fof(t1in2,axiom,
( ( incident(a1,b2c2)
& incident(b1,a2c2)
& incident(c1,a2b2) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1in2) ).
fof(c_0_51,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1)
| goal ),
inference(fof_nnf,[status(thm)],[t2in1]) ).
fof(c_0_52,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).
cnf(c_0_53,plain,
( goal
| ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_54,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,plain,
( ~ incident(a2,b1c1)
| ~ incident(b2,a1c1)
| ~ incident(c2,a1b1) ),
inference(sr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( incident(b1,a2c2)
| incident(c2,a1b1) ),
inference(split_conjunct,[status(thm)],[gap_b]) ).
cnf(c_0_57,plain,
( incident(b1,a2c2)
| ~ incident(a2,b1c1)
| ~ incident(b2,a1c1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,plain,
( incident(a1,b2c2)
| incident(b2,a1c1) ),
inference(split_conjunct,[status(thm)],[gap_a]) ).
fof(c_0_59,plain,
! [X28,X29,X30,X31] :
( ~ incident(X28,X30)
| ~ incident(X28,X31)
| ~ incident(X29,X30)
| ~ incident(X29,X31)
| point_equal(X28,X29)
| line_equal(X30,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).
cnf(c_0_60,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| ~ incident(a2,b1c1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( incident(c1,a2b2)
| incident(a2,b1c1) ),
inference(split_conjunct,[status(thm)],[gap_c]) ).
cnf(c_0_62,plain,
( point_equal(X1,X4)
| line_equal(X2,X3)
| ~ incident(X1,X2)
| ~ incident(X1,X3)
| ~ incident(X4,X2)
| ~ incident(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_63,plain,
( incident(c1,a2b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
( point_equal(X1,c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(X2,a2b2)
| ~ incident(c1,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,plain,
incident(c1,a1c1),
inference(split_conjunct,[status(thm)],[ic1a1]) ).
fof(c_0_66,plain,
! [X22,X23,X24] :
( ~ point_equal(X22,X23)
| ~ incident(X23,X24)
| incident(X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pcon])]) ).
cnf(c_0_67,plain,
( point_equal(X1,c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,plain,
incident(b2,a2b2),
inference(split_conjunct,[status(thm)],[ib2a2]) ).
cnf(c_0_69,plain,
( incident(X1,X3)
| ~ point_equal(X1,X2)
| ~ incident(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_70,plain,
( point_equal(b2,c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,a2b2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_58]) ).
fof(c_0_71,plain,
! [X25,X26,X27] :
( ~ incident(X25,X26)
| ~ line_equal(X26,X27)
| incident(X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lcon])]) ).
fof(c_0_72,plain,
! [X17,X18] :
( ~ line_equal(X17,X18)
| line_equal(X18,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_line_equal])]) ).
cnf(c_0_73,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(b2,X1)
| line_equal(a1c1,a2b2)
| ~ incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,plain,
incident(c1,b1c1),
inference(split_conjunct,[status(thm)],[ic1b1]) ).
cnf(c_0_75,plain,
incident(c1,oc),
inference(split_conjunct,[status(thm)],[ic1oc]) ).
cnf(c_0_76,plain,
( incident(X1,X3)
| ~ incident(X1,X2)
| ~ line_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
incident(a2,a2b2),
inference(split_conjunct,[status(thm)],[ia2b2]) ).
cnf(c_0_78,plain,
( line_equal(X2,X1)
| ~ line_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_80,plain,
( ~ line_equal(b1c1,b2c2)
| goal ),
inference(fof_nnf,[status(thm)],[notbc]) ).
cnf(c_0_81,plain,
incident(c2,oc),
inference(split_conjunct,[status(thm)],[ic2oc]) ).
cnf(c_0_82,plain,
( incident(b2,oc)
| incident(a1,b2c2)
| incident(b1,a2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_73,c_0_75]) ).
cnf(c_0_83,plain,
incident(b2,b2c2),
inference(split_conjunct,[status(thm)],[ib2c2]) ).
cnf(c_0_84,plain,
( incident(a2,X1)
| ~ line_equal(a2b2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(b2,b1c1)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
( goal
| ~ line_equal(b1c1,b2c2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
( point_equal(X1,c2)
| line_equal(X2,oc)
| ~ incident(c2,X2)
| ~ incident(X1,oc)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_81]) ).
cnf(c_0_88,plain,
incident(c2,b2c2),
inference(split_conjunct,[status(thm)],[ic2b2]) ).
cnf(c_0_89,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(b2,oc)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_82]) ).
fof(c_0_90,plain,
! [X7] :
( ~ incident(a2,X7)
| ~ incident(b2,X7)
| ~ incident(c2,X7)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle2])]) ).
cnf(c_0_91,plain,
( point_equal(X1,b2)
| line_equal(X2,b2c2)
| ~ incident(b2,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_83]) ).
cnf(c_0_92,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,plain,
~ line_equal(b1c1,b2c2),
inference(sr,[status(thm)],[c_0_86,c_0_54]) ).
cnf(c_0_94,plain,
( point_equal(X1,c2)
| line_equal(b2c2,oc)
| ~ incident(X1,oc)
| ~ incident(X1,b2c2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
( incident(b2,oc)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_84,c_0_89]) ).
cnf(c_0_96,plain,
( goal
| ~ incident(a2,X1)
| ~ incident(b2,X1)
| ~ incident(c2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,plain,
incident(a1,oa),
inference(split_conjunct,[status(thm)],[ia1oa]) ).
fof(c_0_98,plain,
( ~ point_equal(a2,a1)
| goal ),
inference(fof_nnf,[status(thm)],[notaa]) ).
fof(c_0_99,plain,
( ~ line_equal(a1c1,a2c2)
| goal ),
inference(fof_nnf,[status(thm)],[notac]) ).
cnf(c_0_100,plain,
incident(bc,b2c2),
inference(split_conjunct,[status(thm)],[ibc2]) ).
cnf(c_0_101,plain,
( point_equal(X1,b2)
| incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(X1,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_102,plain,
incident(bc,b1c1),
inference(split_conjunct,[status(thm)],[ibc1]) ).
cnf(c_0_103,plain,
( point_equal(b2,c2)
| incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(b2c2,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_83])]) ).
cnf(c_0_104,plain,
( ~ incident(a2,X1)
| ~ incident(b2,X1)
| ~ incident(c2,X1) ),
inference(sr,[status(thm)],[c_0_96,c_0_54]) ).
cnf(c_0_105,plain,
incident(c2,a2c2),
inference(split_conjunct,[status(thm)],[ic2a2]) ).
cnf(c_0_106,plain,
incident(a2,a2c2),
inference(split_conjunct,[status(thm)],[ia2c2]) ).
cnf(c_0_107,plain,
incident(b1,b1c1),
inference(split_conjunct,[status(thm)],[ib1c1]) ).
fof(c_0_108,plain,
( ~ point_equal(b2,b1)
| goal ),
inference(fof_nnf,[status(thm)],[notbb]) ).
cnf(c_0_109,plain,
( point_equal(X1,a1)
| line_equal(X2,oa)
| ~ incident(a1,X2)
| ~ incident(X1,oa)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_97]) ).
cnf(c_0_110,plain,
incident(a1,a1c1),
inference(split_conjunct,[status(thm)],[ia1c1]) ).
cnf(c_0_111,plain,
( goal
| ~ point_equal(a2,a1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_112,plain,
( ~ line_equal(a1b1,a2b2)
| goal ),
inference(fof_nnf,[status(thm)],[notab]) ).
cnf(c_0_113,plain,
incident(ac,a2c2),
inference(split_conjunct,[status(thm)],[iac2]) ).
cnf(c_0_114,plain,
( goal
| ~ line_equal(a1c1,a2c2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_115,plain,
( point_equal(X1,bc)
| line_equal(X2,b2c2)
| ~ incident(bc,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_100]) ).
cnf(c_0_116,plain,
( point_equal(bc,b2)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_100]),c_0_102])]) ).
cnf(c_0_117,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1)
| incident(b2,X1)
| line_equal(b2c2,oc)
| ~ incident(c2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_103]) ).
cnf(c_0_118,plain,
~ incident(b2,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).
cnf(c_0_119,plain,
( point_equal(X1,b1)
| line_equal(X2,b1c1)
| ~ incident(b1,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_107]) ).
cnf(c_0_120,plain,
incident(b1,ob),
inference(split_conjunct,[status(thm)],[ib1ob]) ).
cnf(c_0_121,plain,
( goal
| ~ point_equal(b2,b1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_122,plain,
( point_equal(X1,a1)
| line_equal(a1c1,oa)
| ~ incident(X1,oa)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_123,plain,
incident(a2,oa),
inference(split_conjunct,[status(thm)],[ia2oa]) ).
cnf(c_0_124,plain,
~ point_equal(a2,a1),
inference(sr,[status(thm)],[c_0_111,c_0_54]) ).
cnf(c_0_125,plain,
incident(ab,a2b2),
inference(split_conjunct,[status(thm)],[iab2]) ).
cnf(c_0_126,plain,
( goal
| ~ line_equal(a1b1,a2b2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
fof(c_0_127,plain,
! [X10,X11] :
( ~ point_equal(X10,X11)
| point_equal(X11,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_of_point_equal])]) ).
cnf(c_0_128,plain,
( point_equal(X1,ac)
| line_equal(X2,a2c2)
| ~ incident(ac,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_113]) ).
cnf(c_0_129,plain,
incident(ac,a1c1),
inference(split_conjunct,[status(thm)],[iac1]) ).
cnf(c_0_130,plain,
~ line_equal(a1c1,a2c2),
inference(sr,[status(thm)],[c_0_114,c_0_54]) ).
cnf(c_0_131,plain,
( point_equal(X1,bc)
| ~ incident(X1,b2c2)
| ~ incident(X1,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_102]),c_0_93]) ).
cnf(c_0_132,plain,
( incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(bc,X1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_116]) ).
cnf(c_0_133,plain,
incident(o,oc),
inference(split_conjunct,[status(thm)],[iooc]) ).
cnf(c_0_134,plain,
( incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(b2c2,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_105]),c_0_118]) ).
cnf(c_0_135,plain,
incident(o,ob),
inference(split_conjunct,[status(thm)],[ioob]) ).
cnf(c_0_136,plain,
( point_equal(X1,b1)
| line_equal(ob,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_137,plain,
incident(b2,ob),
inference(split_conjunct,[status(thm)],[ib2ob]) ).
cnf(c_0_138,plain,
~ point_equal(b2,b1),
inference(sr,[status(thm)],[c_0_121,c_0_54]) ).
cnf(c_0_139,plain,
incident(o,oa),
inference(split_conjunct,[status(thm)],[iooa]) ).
cnf(c_0_140,plain,
( line_equal(a1c1,oa)
| ~ incident(a2,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_141,plain,
( point_equal(X1,ab)
| line_equal(X2,a2b2)
| ~ incident(ab,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_125]) ).
cnf(c_0_142,plain,
incident(ab,a1b1),
inference(split_conjunct,[status(thm)],[iab1]) ).
cnf(c_0_143,plain,
~ line_equal(a1b1,a2b2),
inference(sr,[status(thm)],[c_0_126,c_0_54]) ).
cnf(c_0_144,plain,
( point_equal(X2,X1)
| ~ point_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_145,plain,
( point_equal(X1,ac)
| ~ incident(X1,a2c2)
| ~ incident(X1,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_146,plain,
( incident(X1,X2)
| ~ incident(bc,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_69,c_0_131]) ).
cnf(c_0_147,plain,
( incident(bc,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_132,c_0_58]) ).
cnf(c_0_148,plain,
( incident(o,X1)
| ~ line_equal(oc,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_133]) ).
cnf(c_0_149,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1)
| line_equal(oc,b2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_134]) ).
cnf(c_0_150,plain,
( incident(o,X1)
| ~ line_equal(ob,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_135]) ).
cnf(c_0_151,plain,
( incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(ob,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_92]),c_0_137])]),c_0_138]) ).
cnf(c_0_152,plain,
( incident(o,X1)
| ~ line_equal(oa,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_139]) ).
cnf(c_0_153,plain,
( line_equal(oa,a1c1)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_140]) ).
cnf(c_0_154,plain,
( point_equal(X1,ab)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_155,plain,
( point_equal(ac,X1)
| ~ incident(X1,a2c2)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_156,plain,
( point_equal(X1,b2)
| incident(a1,b2c2)
| line_equal(X2,a1c1)
| ~ incident(b2,X2)
| ~ incident(X1,a1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_58]) ).
cnf(c_0_157,plain,
( incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(X1,a1c1)
| ~ incident(X1,b2c2)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_158,plain,
( incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_159,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(a2,a1c1)
| incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_160,plain,
( incident(o,a1c1)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
fof(c_0_161,plain,
! [X5] :
( ~ line_equal(X5,X5)
| ~ incident(bc,X5)
| ~ incident(ac,X5)
| ~ incident(ab,X5)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])]) ).
fof(c_0_162,plain,
! [X15,X16] :
( ~ incident(X15,X16)
| line_equal(X16,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_line_equal])]) ).
cnf(c_0_163,plain,
( point_equal(ab,X1)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1b1) ),
inference(spm,[status(thm)],[c_0_144,c_0_154]) ).
cnf(c_0_164,plain,
( incident(ac,X1)
| ~ incident(X2,a2c2)
| ~ incident(X2,a1c1)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_155]) ).
cnf(c_0_165,plain,
( point_equal(X1,b2)
| incident(a1,b2c2)
| line_equal(ob,a1c1)
| ~ incident(X1,a1c1)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_156,c_0_137]) ).
cnf(c_0_166,plain,
( incident(o,a1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_160]) ).
fof(c_0_167,plain,
! [X6] :
( ~ incident(a1,X6)
| ~ incident(b1,X6)
| ~ incident(c1,X6)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[triangle1])]) ).
cnf(c_0_168,plain,
( goal
| ~ line_equal(X1,X1)
| ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(ab,X1) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_169,plain,
( line_equal(X2,X2)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_170,plain,
( incident(ab,X1)
| ~ incident(X2,a2b2)
| ~ incident(X2,a1b1)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_163]) ).
cnf(c_0_171,plain,
( incident(ac,X1)
| ~ incident(a2,a1c1)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_106]) ).
cnf(c_0_172,plain,
( point_equal(o,b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(ob,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_135])]) ).
cnf(c_0_173,plain,
( goal
| ~ incident(a1,X1)
| ~ incident(b1,X1)
| ~ incident(c1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_174,plain,
( ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(ab,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_168,c_0_54]),c_0_169]) ).
cnf(c_0_175,plain,
( incident(ab,X1)
| ~ incident(ac,a1b1)
| ~ incident(a2,a1c1)
| ~ incident(ac,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_77])]) ).
cnf(c_0_176,plain,
( incident(ac,X1)
| ~ incident(c2,a1c1)
| ~ incident(c2,X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_105]) ).
cnf(c_0_177,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(o,X1)
| line_equal(ob,a1c1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_172]) ).
cnf(c_0_178,plain,
( ~ incident(a1,X1)
| ~ incident(b1,X1)
| ~ incident(c1,X1) ),
inference(sr,[status(thm)],[c_0_173,c_0_54]) ).
cnf(c_0_179,plain,
( point_equal(X1,c1)
| line_equal(X2,a1c1)
| ~ incident(c1,X2)
| ~ incident(X1,a1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_65]) ).
fof(c_0_180,plain,
( ~ point_equal(c2,c1)
| goal ),
inference(fof_nnf,[status(thm)],[notcc]) ).
cnf(c_0_181,plain,
( ~ incident(ac,a1b1)
| ~ incident(a2,a1c1)
| ~ incident(bc,X1)
| ~ incident(ac,X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,plain,
( incident(ac,X1)
| ~ incident(c2,a1c1)
| ~ incident(c2,X2)
| ~ line_equal(X2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_176]) ).
cnf(c_0_183,plain,
line_equal(b2c2,b2c2),
inference(spm,[status(thm)],[c_0_169,c_0_88]) ).
cnf(c_0_184,plain,
( point_equal(c1,b2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_144,c_0_70]) ).
cnf(c_0_185,plain,
( incident(a1,X1)
| ~ line_equal(a1c1,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_110]) ).
cnf(c_0_186,plain,
( incident(b1,X1)
| ~ line_equal(ob,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_120]) ).
cnf(c_0_187,plain,
( incident(o,b2c2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(ob,a1c1) ),
inference(spm,[status(thm)],[c_0_177,c_0_83]) ).
cnf(c_0_188,plain,
~ incident(b1,a1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_65]),c_0_110])]) ).
cnf(c_0_189,plain,
( point_equal(X1,c1)
| line_equal(oc,a1c1)
| ~ incident(X1,a1c1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_179,c_0_75]) ).
fof(c_0_190,plain,
! [X19,X20,X21] :
( ~ line_equal(X19,X20)
| ~ line_equal(X20,X21)
| line_equal(X19,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_line_equal])]) ).
cnf(c_0_191,plain,
( point_equal(X1,c1)
| line_equal(X2,oc)
| ~ incident(c1,X2)
| ~ incident(X1,oc)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_75]) ).
cnf(c_0_192,plain,
( goal
| ~ point_equal(c2,c1) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_193,plain,
( ~ incident(a2,a1c1)
| ~ incident(c2,a1c1)
| ~ incident(c2,a1b1)
| ~ incident(bc,X1)
| ~ incident(ac,X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_176]) ).
cnf(c_0_194,plain,
( incident(ac,b2c2)
| ~ incident(c2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_88])]) ).
cnf(c_0_195,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(c1,X1)
| line_equal(a1c1,a2b2)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_184]) ).
cnf(c_0_196,plain,
( point_equal(X1,b2)
| incident(a1,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(X1,a1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_58]),c_0_185]) ).
cnf(c_0_197,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(o,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]) ).
cnf(c_0_198,plain,
( point_equal(o,c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(oc,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_166]),c_0_133])]) ).
cnf(c_0_199,plain,
( line_equal(X1,X3)
| ~ line_equal(X1,X2)
| ~ line_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_200,plain,
( point_equal(X1,c1)
| line_equal(a1c1,oc)
| ~ incident(X1,oc)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_191,c_0_65]) ).
cnf(c_0_201,plain,
~ point_equal(c2,c1),
inference(sr,[status(thm)],[c_0_192,c_0_54]) ).
cnf(c_0_202,plain,
( ~ incident(a2,a1c1)
| ~ incident(c2,a1c1)
| ~ incident(c2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_100])]) ).
cnf(c_0_203,plain,
( incident(ac,X1)
| ~ line_equal(a1c1,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_129]) ).
cnf(c_0_204,plain,
( incident(c1,b2c2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_195,c_0_83]) ).
cnf(c_0_205,plain,
( point_equal(bc,X1)
| ~ incident(X1,b2c2)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_131]) ).
cnf(c_0_206,plain,
( point_equal(o,b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_166]) ).
cnf(c_0_207,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(o,X1)
| line_equal(oc,a1c1)
| ~ incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_198]) ).
cnf(c_0_208,plain,
( incident(a2,a1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(X1,b2c2)
| ~ line_equal(X1,oc) ),
inference(spm,[status(thm)],[c_0_199,c_0_149]) ).
cnf(c_0_209,plain,
( line_equal(a1c1,oc)
| ~ incident(c2,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_81]),c_0_201]) ).
cnf(c_0_210,plain,
( incident(b1,a2c2)
| ~ incident(a2,a1c1)
| ~ incident(c2,a1c1) ),
inference(spm,[status(thm)],[c_0_202,c_0_56]) ).
cnf(c_0_211,plain,
( ~ incident(bc,a2b2)
| ~ incident(ac,a2b2) ),
inference(spm,[status(thm)],[c_0_174,c_0_125]) ).
cnf(c_0_212,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(c1,b2c2)
| incident(ac,a2b2) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_213,plain,
( incident(bc,X1)
| ~ incident(X2,b2c2)
| ~ incident(X2,b1c1)
| ~ incident(X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_205]) ).
cnf(c_0_214,plain,
( point_equal(b2,o)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_206]) ).
cnf(c_0_215,plain,
( incident(c2,X1)
| ~ line_equal(oc,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_81]) ).
cnf(c_0_216,plain,
( incident(o,b1c1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(oc,a1c1) ),
inference(spm,[status(thm)],[c_0_207,c_0_74]) ).
cnf(c_0_217,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| ~ incident(c2,a1c1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_185]),c_0_210]) ).
cnf(c_0_218,plain,
( incident(c1,b2c2)
| incident(b1,a2c2)
| incident(a1,b2c2)
| ~ incident(bc,a2b2) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_219,plain,
( incident(bc,X1)
| ~ incident(b2,b1c1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_83]) ).
cnf(c_0_220,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(b2,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_214]) ).
cnf(c_0_221,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(o,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).
cnf(c_0_222,plain,
( point_equal(X1,a1)
| line_equal(X2,a1c1)
| ~ incident(a1,X2)
| ~ incident(X1,a1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_110]) ).
fof(c_0_223,plain,
! [X12,X13,X14] :
( ~ point_equal(X12,X13)
| ~ point_equal(X13,X14)
| point_equal(X12,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_of_point_equal])]) ).
cnf(c_0_224,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(c1,b2c2)
| ~ incident(b2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_68])]) ).
cnf(c_0_225,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_226,plain,
( point_equal(X1,a1)
| line_equal(oa,a1c1)
| ~ incident(X1,a1c1)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_222,c_0_97]) ).
cnf(c_0_227,plain,
( point_equal(X1,X3)
| ~ point_equal(X1,X2)
| ~ point_equal(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_228,plain,
( incident(c1,b2c2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_229,plain,
( point_equal(o,a1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(oa,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_166]),c_0_139])]) ).
cnf(c_0_230,plain,
( ~ incident(bc,a2b2)
| ~ incident(a2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_171]),c_0_77])]) ).
cnf(c_0_231,plain,
( point_equal(X1,o)
| incident(b1,a2c2)
| incident(a1,b2c2)
| ~ point_equal(X1,b2) ),
inference(spm,[status(thm)],[c_0_227,c_0_214]) ).
cnf(c_0_232,plain,
( point_equal(c1,b2)
| incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_228]),c_0_65])]) ).
cnf(c_0_233,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(o,X1)
| line_equal(oa,a1c1)
| ~ incident(a1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_229]) ).
cnf(c_0_234,plain,
incident(a1,a1b1),
inference(split_conjunct,[status(thm)],[ia1b1]) ).
cnf(c_0_235,plain,
( ~ incident(a2,a1c1)
| ~ incident(b2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_219]),c_0_68])]) ).
cnf(c_0_236,plain,
( point_equal(c1,o)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_237,plain,
( incident(a2,X1)
| ~ line_equal(oa,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_123]) ).
cnf(c_0_238,plain,
( incident(o,a1b1)
| incident(b1,a2c2)
| incident(a1,b2c2)
| line_equal(oa,a1c1) ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_239,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_235,c_0_225]) ).
cnf(c_0_240,plain,
( incident(b1,a2c2)
| incident(a1,b2c2)
| incident(c1,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_236]) ).
cnf(c_0_241,plain,
( incident(a1,b2c2)
| incident(b1,a2c2)
| incident(o,a1b1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).
cnf(c_0_242,plain,
( point_equal(X1,a2)
| line_equal(X2,a2c2)
| ~ incident(a2,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_106]) ).
cnf(c_0_243,plain,
( incident(c1,a1b1)
| incident(a1,b2c2)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_244,plain,
incident(b1,a1b1),
inference(split_conjunct,[status(thm)],[ib1a1]) ).
cnf(c_0_245,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| ~ incident(X1,a2c2)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_242,c_0_61]) ).
cnf(c_0_246,plain,
( incident(b1,a2c2)
| incident(a1,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_243]),c_0_234]),c_0_244])]) ).
cnf(c_0_247,plain,
( point_equal(b1,a2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_107])]) ).
cnf(c_0_248,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(b1,X1)
| line_equal(b1c1,a2c2)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_247]) ).
cnf(c_0_249,plain,
( point_equal(a2,b1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_247]) ).
cnf(c_0_250,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,a2c2)
| ~ point_equal(X1,b1) ),
inference(spm,[status(thm)],[c_0_227,c_0_247]) ).
cnf(c_0_251,plain,
( incident(b1,a2b2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_248,c_0_77]) ).
cnf(c_0_252,plain,
( point_equal(X1,b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_227,c_0_249]) ).
cnf(c_0_253,plain,
( point_equal(ab,a2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_163]),c_0_244])]),c_0_251]) ).
cnf(c_0_254,plain,
( point_equal(ab,b1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_255,plain,
( point_equal(X1,a2)
| line_equal(X2,a2b2)
| ~ incident(a2,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_77]) ).
cnf(c_0_256,plain,
( incident(c1,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
cnf(c_0_257,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(ab,X1)
| line_equal(b1c1,a2c2)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_253]) ).
cnf(c_0_258,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(ab,X1)
| line_equal(b1c1,a2c2)
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_254]) ).
cnf(c_0_259,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(X1,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_61]),c_0_256]) ).
cnf(c_0_260,plain,
( incident(bc,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_102]) ).
cnf(c_0_261,plain,
( incident(ab,b1c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_257,c_0_61]) ).
cnf(c_0_262,plain,
( incident(ab,oa)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_257,c_0_123]) ).
cnf(c_0_263,plain,
( point_equal(X1,b2)
| line_equal(X2,ob)
| ~ incident(b2,X2)
| ~ incident(X1,ob)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_137]) ).
cnf(c_0_264,plain,
( incident(ab,ob)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_258,c_0_120]) ).
cnf(c_0_265,plain,
( point_equal(ab,a2)
| incident(c1,a2b2)
| ~ incident(ab,b1c1) ),
inference(spm,[status(thm)],[c_0_259,c_0_125]) ).
cnf(c_0_266,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(ab,b1c1)
| incident(bc,a2c2) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_267,plain,
( point_equal(X1,a1)
| line_equal(a1b1,oa)
| ~ incident(X1,oa)
| ~ incident(X1,a1b1) ),
inference(spm,[status(thm)],[c_0_109,c_0_234]) ).
cnf(c_0_268,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(ab,oa)
| incident(bc,a2c2) ),
inference(spm,[status(thm)],[c_0_260,c_0_262]) ).
cnf(c_0_269,plain,
( point_equal(X1,b2)
| line_equal(a2b2,ob)
| ~ incident(X1,ob)
| ~ incident(X1,a2b2) ),
inference(spm,[status(thm)],[c_0_263,c_0_68]) ).
cnf(c_0_270,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(ab,ob)
| incident(bc,a2c2) ),
inference(spm,[status(thm)],[c_0_260,c_0_264]) ).
cnf(c_0_271,plain,
( point_equal(ab,a2)
| incident(bc,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_272,plain,
( point_equal(ab,a1)
| incident(bc,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(a1b1,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_142])]) ).
cnf(c_0_273,plain,
( point_equal(ab,b2)
| incident(bc,a2c2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(a2b2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_125])]) ).
cnf(c_0_274,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(bc,a2c2)
| ~ point_equal(X1,ab) ),
inference(spm,[status(thm)],[c_0_227,c_0_271]) ).
cnf(c_0_275,plain,
( point_equal(a1,ab)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(bc,a2c2)
| line_equal(a1b1,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_272]) ).
cnf(c_0_276,plain,
( point_equal(X1,b1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2)
| ~ point_equal(X1,ab) ),
inference(spm,[status(thm)],[c_0_227,c_0_254]) ).
cnf(c_0_277,plain,
( point_equal(b2,ab)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(bc,a2c2)
| line_equal(a2b2,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_273]) ).
cnf(c_0_278,plain,
( point_equal(a1,a2)
| incident(bc,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(a1b1,oa) ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_279,plain,
( incident(bc,a2c2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(a2b2,ob) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_138]),c_0_260]) ).
cnf(c_0_280,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(bc,a2c2)
| line_equal(a1b1,oa) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_278]),c_0_124]) ).
cnf(c_0_281,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(bc,a2c2)
| line_equal(ob,a2b2) ),
inference(spm,[status(thm)],[c_0_78,c_0_279]) ).
cnf(c_0_282,plain,
( incident(X1,X2)
| ~ incident(ab,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1b1) ),
inference(spm,[status(thm)],[c_0_69,c_0_154]) ).
cnf(c_0_283,plain,
( incident(bc,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(oa,a1b1) ),
inference(spm,[status(thm)],[c_0_78,c_0_280]) ).
cnf(c_0_284,plain,
( point_equal(X1,c1)
| line_equal(b1c1,oc)
| ~ incident(X1,oc)
| ~ incident(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_191,c_0_74]) ).
cnf(c_0_285,plain,
( incident(bc,a2c2)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_150,c_0_281]) ).
cnf(c_0_286,plain,
( incident(bc,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(X1,b1c1)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1b1) ),
inference(spm,[status(thm)],[c_0_282,c_0_266]) ).
cnf(c_0_287,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(bc,a2c2)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_152,c_0_283]) ).
cnf(c_0_288,plain,
( line_equal(b1c1,oc)
| ~ incident(c2,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_81]),c_0_201]) ).
cnf(c_0_289,plain,
( point_equal(o,a2)
| incident(a1,b2c2)
| incident(bc,a2c2)
| incident(c1,a2b2)
| ~ incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_259,c_0_285]) ).
cnf(c_0_290,plain,
( incident(o,b1c1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(bc,a2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_285]),c_0_287]) ).
cnf(c_0_291,plain,
( incident(a2,X1)
| ~ line_equal(a2c2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_106]) ).
cnf(c_0_292,plain,
( line_equal(X1,oc)
| ~ incident(c2,b1c1)
| ~ line_equal(X1,b1c1) ),
inference(spm,[status(thm)],[c_0_199,c_0_288]) ).
cnf(c_0_293,plain,
( incident(c2,X1)
| ~ line_equal(a2c2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_105]) ).
cnf(c_0_294,plain,
( incident(ab,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_257,c_0_106]) ).
cnf(c_0_295,plain,
( point_equal(o,a2)
| incident(c1,a2b2)
| incident(bc,a2c2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_296,plain,
( incident(a2,oc)
| ~ line_equal(a2c2,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).
cnf(c_0_297,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(ab,a2c2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_294]) ).
cnf(c_0_298,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,X1)
| line_equal(b1c1,a2c2)
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_249]) ).
cnf(c_0_299,plain,
( point_equal(a2,o)
| incident(a1,b2c2)
| incident(bc,a2c2)
| incident(c1,a2b2) ),
inference(spm,[status(thm)],[c_0_144,c_0_295]) ).
cnf(c_0_300,plain,
( incident(ab,a2c2)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_301,plain,
( incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_298,c_0_120]) ).
cnf(c_0_302,plain,
( point_equal(X1,o)
| line_equal(X2,oc)
| ~ incident(o,X2)
| ~ incident(X1,oc)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_133]) ).
cnf(c_0_303,plain,
( incident(c1,a2b2)
| incident(bc,a2c2)
| incident(a1,b2c2)
| incident(a2,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_299]) ).
cnf(c_0_304,plain,
( incident(a2,oc)
| incident(c1,a2b2)
| incident(a1,b2c2)
| ~ incident(bc,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_300]),c_0_113])]) ).
cnf(c_0_305,plain,
( point_equal(X1,c1)
| line_equal(X2,b1c1)
| ~ incident(c1,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_74]) ).
cnf(c_0_306,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,ob)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_301]) ).
cnf(c_0_307,plain,
( point_equal(X1,o)
| line_equal(oa,oc)
| ~ incident(X1,oc)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_302,c_0_139]) ).
cnf(c_0_308,plain,
( incident(a2,oc)
| incident(a1,b2c2)
| incident(c1,a2b2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_133]),c_0_304]) ).
cnf(c_0_309,plain,
( point_equal(X1,c1)
| line_equal(oc,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_305,c_0_75]) ).
cnf(c_0_310,plain,
( incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_293,c_0_306]) ).
cnf(c_0_311,plain,
( point_equal(a2,o)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(oa,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_123])]) ).
cnf(c_0_312,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,ob)
| line_equal(oc,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_81])]),c_0_201]) ).
cnf(c_0_313,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,X1)
| line_equal(oa,oc)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_311]) ).
cnf(c_0_314,plain,
( point_equal(a2,c1)
| incident(c1,a2b2)
| line_equal(oc,b1c1)
| ~ incident(a2,oc) ),
inference(spm,[status(thm)],[c_0_309,c_0_61]) ).
cnf(c_0_315,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(ab,b1c1)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_261]) ).
cnf(c_0_316,plain,
( incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(X1,b1c1)
| ~ line_equal(X1,oc) ),
inference(spm,[status(thm)],[c_0_199,c_0_312]) ).
cnf(c_0_317,plain,
( incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(oa,oc) ),
inference(spm,[status(thm)],[c_0_313,c_0_135]) ).
cnf(c_0_318,plain,
( incident(ab,X1)
| ~ incident(a2,a1b1)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_77]) ).
cnf(c_0_319,plain,
( point_equal(a2,c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(oc,b1c1) ),
inference(spm,[status(thm)],[c_0_314,c_0_308]) ).
cnf(c_0_320,plain,
( incident(ab,b1c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_293,c_0_315]) ).
cnf(c_0_321,plain,
( point_equal(X1,b1)
| line_equal(X2,ob)
| ~ incident(b1,X2)
| ~ incident(X1,ob)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_120]) ).
cnf(c_0_322,plain,
( incident(a1,X1)
| ~ line_equal(oa,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_97]) ).
cnf(c_0_323,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,ob)
| line_equal(oa,b1c1) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_324,plain,
~ incident(a1,b1c1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_74]),c_0_107])]) ).
cnf(c_0_325,plain,
( ~ incident(a2,a1b1)
| ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_318]) ).
cnf(c_0_326,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(a2,X1)
| line_equal(oc,b1c1)
| ~ incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_319]) ).
cnf(c_0_327,plain,
( incident(c2,b1c1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| ~ incident(ac,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_320]),c_0_102])]) ).
cnf(c_0_328,plain,
( point_equal(X1,b1)
| incident(a1,b2c2)
| line_equal(a2c2,ob)
| ~ incident(X1,ob)
| ~ incident(X1,a2c2) ),
inference(spm,[status(thm)],[c_0_321,c_0_246]) ).
cnf(c_0_329,plain,
( incident(a2,ob)
| incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]) ).
cnf(c_0_330,plain,
( ~ incident(a2,a1b1)
| ~ incident(bc,a2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_113]),c_0_106])]) ).
cnf(c_0_331,plain,
( incident(bc,X1)
| ~ incident(c2,b1c1)
| ~ incident(c2,X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_88]) ).
cnf(c_0_332,plain,
( incident(a2,a1c1)
| incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(oc,b1c1) ),
inference(spm,[status(thm)],[c_0_326,c_0_65]) ).
cnf(c_0_333,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(c2,b1c1)
| ~ incident(a2,a1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_171]),c_0_61]) ).
cnf(c_0_334,plain,
( point_equal(a2,b1)
| incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(a2c2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_106])]) ).
cnf(c_0_335,plain,
( ~ incident(a2,a1b1)
| ~ incident(c2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_105])]) ).
cnf(c_0_336,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| incident(c2,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_332]),c_0_333]) ).
cnf(c_0_337,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| incident(a2,X1)
| line_equal(a2c2,ob)
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_334]) ).
cnf(c_0_338,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| ~ incident(a2,a1b1) ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_339,plain,
( incident(c1,a2b2)
| incident(a1,b2c2)
| line_equal(a2c2,ob) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_244]),c_0_338]) ).
cnf(c_0_340,plain,
( point_equal(X1,b2)
| line_equal(X2,a2b2)
| ~ incident(b2,X2)
| ~ incident(X1,a2b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_68]) ).
cnf(c_0_341,plain,
( incident(b2,X1)
| ~ line_equal(ob,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_137]) ).
cnf(c_0_342,plain,
( incident(a1,b2c2)
| incident(c1,a2b2)
| line_equal(ob,a2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_339]) ).
cnf(c_0_343,plain,
( point_equal(X1,b2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_340,c_0_58]) ).
cnf(c_0_344,plain,
( incident(c1,a2b2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_118]) ).
cnf(c_0_345,plain,
( point_equal(c1,b2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_65])]) ).
cnf(c_0_346,plain,
( incident(a1,b2c2)
| incident(c1,X1)
| line_equal(a1c1,a2b2)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_345]) ).
cnf(c_0_347,plain,
( point_equal(b2,c1)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_144,c_0_345]) ).
cnf(c_0_348,plain,
( point_equal(X1,c2)
| line_equal(X2,b2c2)
| ~ incident(c2,X2)
| ~ incident(X1,b2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_88]) ).
cnf(c_0_349,plain,
( incident(c1,b2c2)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_346,c_0_83]) ).
cnf(c_0_350,plain,
( incident(a1,b2c2)
| incident(b2,X1)
| line_equal(a1c1,a2b2)
| ~ incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_347]) ).
cnf(c_0_351,plain,
( point_equal(X1,c2)
| line_equal(oc,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_348,c_0_81]) ).
cnf(c_0_352,plain,
( incident(a1,b2c2)
| incident(c1,b2c2)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_185,c_0_349]) ).
cnf(c_0_353,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| line_equal(a1c1,a2b2) ),
inference(spm,[status(thm)],[c_0_350,c_0_74]) ).
cnf(c_0_354,plain,
( point_equal(c1,c2)
| incident(a1,a2b2)
| incident(a1,b2c2)
| line_equal(oc,b2c2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_75])]) ).
cnf(c_0_355,plain,
( incident(a1,b2c2)
| incident(b2,b1c1)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_185,c_0_353]) ).
cnf(c_0_356,plain,
( incident(a1,b2c2)
| incident(a1,a2b2)
| line_equal(oc,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_354]),c_0_201]) ).
cnf(c_0_357,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| line_equal(ob,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_355]),c_0_137])]),c_0_138]) ).
cnf(c_0_358,plain,
( point_equal(X1,b2)
| incident(a1,a2b2)
| incident(a1,b2c2)
| ~ incident(X1,b2c2)
| ~ incident(X1,b1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_355]),c_0_93]) ).
cnf(c_0_359,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(o,b2c2) ),
inference(spm,[status(thm)],[c_0_148,c_0_356]) ).
cnf(c_0_360,plain,
( incident(a1,b2c2)
| incident(a1,a2b2)
| incident(o,b1c1) ),
inference(spm,[status(thm)],[c_0_150,c_0_357]) ).
cnf(c_0_361,plain,
( point_equal(o,b2)
| incident(a1,b2c2)
| incident(a1,a2b2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_360]) ).
cnf(c_0_362,plain,
( incident(a1,a2b2)
| incident(a1,b2c2)
| incident(o,X1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_361]) ).
cnf(c_0_363,plain,
( point_equal(X1,a2)
| line_equal(oa,a2b2)
| ~ incident(X1,a2b2)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_255,c_0_123]) ).
cnf(c_0_364,plain,
( incident(o,a2b2)
| incident(a1,b2c2)
| incident(a1,a2b2) ),
inference(spm,[status(thm)],[c_0_362,c_0_68]) ).
cnf(c_0_365,plain,
( point_equal(o,a2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_139])]),c_0_322]) ).
cnf(c_0_366,plain,
( point_equal(b2,o)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_361]) ).
cnf(c_0_367,plain,
( incident(a1,b2c2)
| incident(a1,a2b2)
| incident(o,X1)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_365]) ).
cnf(c_0_368,plain,
( incident(a1,b2c2)
| incident(a1,a2b2)
| incident(b2,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_366]) ).
cnf(c_0_369,plain,
( incident(o,a2c2)
| incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_367,c_0_106]) ).
cnf(c_0_370,plain,
( point_equal(bc,b2)
| incident(a1,b2c2)
| ~ incident(bc,a1c1) ),
inference(spm,[status(thm)],[c_0_196,c_0_100]) ).
cnf(c_0_371,plain,
( incident(a1,b2c2)
| incident(b2,b1c1)
| line_equal(a2b2,a1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_353]) ).
cnf(c_0_372,plain,
( incident(a1,a2b2)
| incident(a1,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_118]) ).
cnf(c_0_373,plain,
( point_equal(bc,b2)
| incident(a1,b2c2)
| ~ incident(b2,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_219]),c_0_58]) ).
cnf(c_0_374,plain,
( incident(b2,b1c1)
| incident(a1,b2c2)
| incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_84,c_0_371]) ).
cnf(c_0_375,plain,
( incident(a1,b2c2)
| incident(ab,X1)
| ~ incident(a1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_372]),c_0_234])]) ).
cnf(c_0_376,plain,
( point_equal(bc,b2)
| incident(a2,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_377,plain,
( incident(ab,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_375,c_0_110]) ).
cnf(c_0_378,plain,
( incident(a1,b2c2)
| incident(a2,a1c1)
| incident(bc,X1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_376]) ).
cnf(c_0_379,plain,
( incident(a1,b2c2)
| ~ incident(bc,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_377]),c_0_129])]) ).
cnf(c_0_380,plain,
( incident(bc,a1c1)
| incident(a2,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_378,c_0_58]) ).
cnf(c_0_381,plain,
( point_equal(X1,ac)
| ~ point_equal(X1,X2)
| ~ incident(X2,a2c2)
| ~ incident(X2,a1c1) ),
inference(spm,[status(thm)],[c_0_227,c_0_145]) ).
cnf(c_0_382,plain,
( point_equal(o,b2)
| incident(a1,b2c2)
| line_equal(ob,a1c1)
| ~ incident(a2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_160]),c_0_135])]) ).
cnf(c_0_383,plain,
( incident(a2,a1c1)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_384,plain,
( point_equal(X1,ac)
| ~ point_equal(X1,a2)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_381,c_0_106]) ).
fof(c_0_385,plain,
! [X8,X9] :
( ~ incident(X8,X9)
| point_equal(X8,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_of_point_equal])]) ).
cnf(c_0_386,plain,
( point_equal(o,b2)
| incident(a1,b2c2)
| line_equal(ob,a1c1) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_387,plain,
( point_equal(ac,X1)
| ~ point_equal(X1,a2)
| ~ incident(a2,a1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_384]) ).
cnf(c_0_388,plain,
( point_equal(X1,X1)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_385]) ).
cnf(c_0_389,plain,
( incident(a1,b2c2)
| incident(o,X1)
| line_equal(ob,a1c1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_386]) ).
cnf(c_0_390,plain,
( point_equal(ac,X1)
| incident(a1,b2c2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_387,c_0_383]) ).
cnf(c_0_391,plain,
point_equal(a2,a2),
inference(spm,[status(thm)],[c_0_388,c_0_123]) ).
cnf(c_0_392,plain,
( incident(o,b2c2)
| incident(a1,b2c2)
| line_equal(ob,a1c1) ),
inference(spm,[status(thm)],[c_0_389,c_0_83]) ).
cnf(c_0_393,plain,
( incident(a1,b2c2)
| line_equal(oa,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_383]),c_0_123])]),c_0_124]) ).
cnf(c_0_394,plain,
( point_equal(o,c1)
| line_equal(oc,a1c1)
| ~ incident(a2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_160]),c_0_133])]) ).
cnf(c_0_395,plain,
( point_equal(ac,a2)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_396,plain,
( incident(a1,b2c2)
| incident(o,b2c2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_392]),c_0_188]) ).
cnf(c_0_397,plain,
( incident(a1,b2c2)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_152,c_0_393]) ).
cnf(c_0_398,plain,
( point_equal(o,c1)
| incident(a1,b2c2)
| line_equal(oc,a1c1) ),
inference(spm,[status(thm)],[c_0_394,c_0_383]) ).
cnf(c_0_399,plain,
( point_equal(a2,ac)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_395]) ).
cnf(c_0_400,plain,
( point_equal(o,b2)
| incident(a1,b2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_396]),c_0_397]) ).
cnf(c_0_401,plain,
( incident(a1,b2c2)
| incident(o,X1)
| line_equal(oc,a1c1)
| ~ incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_398]) ).
cnf(c_0_402,plain,
( incident(a1,b2c2)
| incident(a2,X1)
| ~ incident(ac,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_399]) ).
cnf(c_0_403,plain,
~ incident(a2,b2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_88]),c_0_83])]) ).
cnf(c_0_404,plain,
( point_equal(X1,c2)
| incident(b1,a2c2)
| line_equal(X2,a1b1)
| ~ incident(c2,X2)
| ~ incident(X1,a1b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
cnf(c_0_405,plain,
( point_equal(b2,o)
| incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_400]) ).
cnf(c_0_406,plain,
( incident(o,b1c1)
| incident(a1,b2c2)
| line_equal(oc,a1c1) ),
inference(spm,[status(thm)],[c_0_401,c_0_74]) ).
cnf(c_0_407,plain,
( incident(a1,b2c2)
| ~ incident(c2,a1c1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_194]),c_0_403]) ).
cnf(c_0_408,plain,
( point_equal(X1,c2)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1)
| ~ incident(X1,a1b1)
| ~ incident(X1,b2c2) ),
inference(spm,[status(thm)],[c_0_404,c_0_88]) ).
cnf(c_0_409,plain,
( incident(a1,b2c2)
| incident(b2,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_405]) ).
cnf(c_0_410,plain,
( incident(a1,b2c2)
| incident(o,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_406]),c_0_407]) ).
cnf(c_0_411,plain,
( incident(a1,b2c2)
| ~ incident(b2,b1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_219]),c_0_58]) ).
cnf(c_0_412,plain,
( point_equal(a1,c2)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1)
| ~ incident(a1,b2c2) ),
inference(spm,[status(thm)],[c_0_408,c_0_234]) ).
cnf(c_0_413,plain,
incident(a1,b2c2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411]) ).
cnf(c_0_414,plain,
( point_equal(a1,c2)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_412,c_0_413])]) ).
cnf(c_0_415,plain,
( point_equal(c2,a1)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_144,c_0_414]) ).
cnf(c_0_416,plain,
( point_equal(X1,c2)
| line_equal(X2,a2c2)
| ~ incident(c2,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_105]) ).
cnf(c_0_417,plain,
( incident(b1,X1)
| ~ line_equal(a1b1,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_244]) ).
cnf(c_0_418,plain,
( incident(b1,a2c2)
| incident(c2,X1)
| line_equal(b2c2,a1b1)
| ~ incident(a1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_415]) ).
cnf(c_0_419,plain,
( point_equal(X1,c2)
| incident(b1,a2c2)
| ~ incident(X1,a2c2)
| ~ incident(X1,a1b1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_56]),c_0_417]) ).
cnf(c_0_420,plain,
( point_equal(X1,a2)
| line_equal(X2,oa)
| ~ incident(a2,X2)
| ~ incident(X1,oa)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_123]) ).
cnf(c_0_421,plain,
( incident(b2,X1)
| ~ line_equal(b2c2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_83]) ).
cnf(c_0_422,plain,
( incident(c2,oa)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_418,c_0_97]) ).
cnf(c_0_423,plain,
( point_equal(ac,c2)
| incident(b1,a2c2)
| ~ incident(ac,a1b1) ),
inference(spm,[status(thm)],[c_0_419,c_0_113]) ).
cnf(c_0_424,plain,
( incident(c2,a1c1)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1) ),
inference(spm,[status(thm)],[c_0_418,c_0_110]) ).
cnf(c_0_425,plain,
( point_equal(X1,a2)
| line_equal(a2c2,oa)
| ~ incident(X1,oa)
| ~ incident(X1,a2c2) ),
inference(spm,[status(thm)],[c_0_420,c_0_106]) ).
cnf(c_0_426,plain,
( incident(b1,a2c2)
| incident(c2,oa)
| incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_427,plain,
( point_equal(ac,c2)
| incident(b1,a2c2)
| ~ incident(c2,a1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_176]),c_0_56]) ).
cnf(c_0_428,plain,
( incident(b1,a2c2)
| incident(c2,a1c1)
| incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_421,c_0_424]) ).
cnf(c_0_429,plain,
( point_equal(c2,a2)
| incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(a2c2,oa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_105])]) ).
cnf(c_0_430,plain,
( point_equal(ac,c2)
| incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_431,plain,
( point_equal(X1,a1)
| incident(b1,a2c2)
| line_equal(b2c2,a1b1)
| ~ point_equal(X1,c2) ),
inference(spm,[status(thm)],[c_0_227,c_0_415]) ).
cnf(c_0_432,plain,
( point_equal(a2,c2)
| incident(b1,a2c2)
| incident(b2,a1b1)
| line_equal(a2c2,oa) ),
inference(spm,[status(thm)],[c_0_144,c_0_429]) ).
cnf(c_0_433,plain,
( point_equal(X1,b1)
| line_equal(a1b1,ob)
| ~ incident(X1,ob)
| ~ incident(X1,a1b1) ),
inference(spm,[status(thm)],[c_0_321,c_0_244]) ).
cnf(c_0_434,plain,
( incident(b1,a2c2)
| incident(b2,a1b1)
| incident(ac,X1)
| ~ incident(c2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_430]) ).
cnf(c_0_435,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(a2c2,oa) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_124]),c_0_421]) ).
cnf(c_0_436,plain,
( line_equal(a1b1,ob)
| ~ incident(b2,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_137]),c_0_138]) ).
cnf(c_0_437,plain,
( incident(X1,X2)
| ~ incident(ac,X2)
| ~ incident(X1,a2c2)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_69,c_0_145]) ).
cnf(c_0_438,plain,
( incident(ac,a1b1)
| incident(b2,a1b1)
| incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_434,c_0_56]) ).
cnf(c_0_439,plain,
( incident(b1,a2c2)
| incident(b2,a1b1)
| line_equal(oa,a2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_435]) ).
cnf(c_0_440,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(oc,a1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_428]),c_0_81])]),c_0_201]) ).
cnf(c_0_441,plain,
( line_equal(ob,a1b1)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_78,c_0_436]) ).
cnf(c_0_442,plain,
( point_equal(X1,a1)
| line_equal(X2,a1b1)
| ~ incident(a1,X2)
| ~ incident(X1,a1b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_234]) ).
cnf(c_0_443,plain,
( incident(b1,a2c2)
| incident(b2,a1b1)
| incident(X1,a1b1)
| ~ incident(X1,a2c2)
| ~ incident(X1,a1c1) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_444,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| incident(o,a2c2) ),
inference(spm,[status(thm)],[c_0_152,c_0_439]) ).
cnf(c_0_445,plain,
( incident(b1,a2c2)
| incident(b2,a1b1)
| incident(o,a1c1) ),
inference(spm,[status(thm)],[c_0_148,c_0_440]) ).
cnf(c_0_446,plain,
( incident(o,a1b1)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_150,c_0_441]) ).
cnf(c_0_447,plain,
( point_equal(X1,a1)
| line_equal(oa,a1b1)
| ~ incident(X1,a1b1)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_442,c_0_97]) ).
cnf(c_0_448,plain,
( incident(o,a1b1)
| incident(b1,a2c2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_445]),c_0_446]) ).
cnf(c_0_449,plain,
( point_equal(X1,c2)
| incident(b1,a2c2)
| line_equal(oc,a1b1)
| ~ incident(X1,a1b1)
| ~ incident(X1,oc) ),
inference(spm,[status(thm)],[c_0_404,c_0_81]) ).
cnf(c_0_450,plain,
( point_equal(o,a1)
| incident(b1,a2c2)
| line_equal(oa,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_139])]) ).
cnf(c_0_451,plain,
( point_equal(X1,b1)
| line_equal(X2,a1b1)
| ~ incident(b1,X2)
| ~ incident(X1,a1b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_244]) ).
cnf(c_0_452,plain,
( incident(ab,X1)
| ~ incident(b2,a1b1)
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_68]) ).
cnf(c_0_453,plain,
( point_equal(o,c2)
| incident(b1,a2c2)
| line_equal(oc,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_448]),c_0_133])]) ).
cnf(c_0_454,plain,
( incident(b1,a2c2)
| incident(o,X1)
| line_equal(oa,a1b1)
| ~ incident(a1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_450]) ).
cnf(c_0_455,plain,
( incident(b2,a1b1)
| incident(b1,a2c2)
| line_equal(X1,a2c2)
| ~ line_equal(X1,oa) ),
inference(spm,[status(thm)],[c_0_199,c_0_439]) ).
cnf(c_0_456,plain,
( line_equal(a1b1,oa)
| ~ incident(a2,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_123]),c_0_124]) ).
cnf(c_0_457,plain,
( incident(b1,a2c2)
| ~ incident(a2,a1b1)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_104,c_0_56]) ).
cnf(c_0_458,plain,
( point_equal(X1,b1)
| line_equal(ob,a1b1)
| ~ incident(X1,a1b1)
| ~ incident(X1,ob) ),
inference(spm,[status(thm)],[c_0_451,c_0_120]) ).
cnf(c_0_459,plain,
( incident(ab,X1)
| ~ incident(b2,a1b1)
| ~ incident(b2,X2)
| ~ line_equal(X2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_452]) ).
cnf(c_0_460,plain,
( point_equal(c2,o)
| incident(b1,a2c2)
| line_equal(oc,a1b1) ),
inference(spm,[status(thm)],[c_0_144,c_0_453]) ).
cnf(c_0_461,plain,
( incident(o,a1c1)
| incident(b1,a2c2)
| line_equal(oa,a1b1) ),
inference(spm,[status(thm)],[c_0_454,c_0_110]) ).
cnf(c_0_462,plain,
( incident(b1,a2c2)
| ~ incident(a2,a1b1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_417]),c_0_457]) ).
cnf(c_0_463,plain,
( point_equal(o,b1)
| incident(b1,a2c2)
| line_equal(ob,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_448]),c_0_135])]) ).
cnf(c_0_464,plain,
( incident(ab,b2c2)
| ~ incident(b2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_183]),c_0_83])]) ).
cnf(c_0_465,plain,
( incident(b1,a2c2)
| incident(c2,X1)
| line_equal(oc,a1b1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_460]) ).
cnf(c_0_466,plain,
( incident(b1,a2c2)
| incident(o,a1c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_461]),c_0_462]) ).
cnf(c_0_467,plain,
( point_equal(b1,o)
| incident(b1,a2c2)
| line_equal(ob,a1b1) ),
inference(spm,[status(thm)],[c_0_144,c_0_463]) ).
cnf(c_0_468,plain,
( ~ incident(ac,b2c2)
| ~ incident(b2,a1b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_464]),c_0_100])]) ).
cnf(c_0_469,plain,
( incident(c1,X1)
| ~ line_equal(oc,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_75]) ).
cnf(c_0_470,plain,
( incident(c2,a1c1)
| incident(b1,a2c2)
| line_equal(oc,a1b1) ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_471,plain,
( incident(b1,a2c2)
| incident(b1,X1)
| line_equal(ob,a1b1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_467]) ).
fof(c_0_472,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2)
| goal ),
inference(fof_nnf,[status(thm)],[t1in2]) ).
cnf(c_0_473,plain,
( ~ incident(b2,a1b1)
| ~ incident(c2,a1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_176]),c_0_88])]) ).
cnf(c_0_474,plain,
( incident(b1,a2c2)
| incident(c2,a1c1)
| incident(c1,a1b1) ),
inference(spm,[status(thm)],[c_0_469,c_0_470]) ).
cnf(c_0_475,plain,
( incident(b1,a2c2)
| line_equal(ob,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_466]),c_0_188]) ).
cnf(c_0_476,plain,
( goal
| ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(split_conjunct,[status(thm)],[c_0_472]) ).
cnf(c_0_477,plain,
( incident(c1,a1b1)
| incident(b1,a2c2)
| ~ incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_478,plain,
( incident(b1,a2c2)
| incident(b2,a1b1) ),
inference(spm,[status(thm)],[c_0_341,c_0_475]) ).
cnf(c_0_479,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| line_equal(X2,b1c1)
| ~ incident(a2,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_480,plain,
( ~ incident(a1,b2c2)
| ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(sr,[status(thm)],[c_0_476,c_0_54]) ).
cnf(c_0_481,plain,
( incident(b1,a2c2)
| incident(c1,a1b1) ),
inference(spm,[status(thm)],[c_0_477,c_0_478]) ).
cnf(c_0_482,plain,
( point_equal(X1,a2)
| incident(c1,a2b2)
| line_equal(a2c2,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(X1,a2c2) ),
inference(spm,[status(thm)],[c_0_479,c_0_106]) ).
cnf(c_0_483,plain,
( ~ incident(b1,a2c2)
| ~ incident(c1,a2b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_413])]) ).
cnf(c_0_484,plain,
incident(b1,a2c2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_481]),c_0_234]),c_0_244])]) ).
cnf(c_0_485,plain,
( point_equal(b1,a2)
| incident(c1,a2b2)
| line_equal(a2c2,b1c1)
| ~ incident(b1,a2c2) ),
inference(spm,[status(thm)],[c_0_482,c_0_107]) ).
cnf(c_0_486,plain,
~ incident(c1,a2b2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_484])]) ).
cnf(c_0_487,plain,
( point_equal(b1,a2)
| line_equal(a2c2,b1c1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_484])]),c_0_486]) ).
cnf(c_0_488,plain,
( point_equal(a2,b1)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_144,c_0_487]) ).
cnf(c_0_489,plain,
( incident(a2,X1)
| line_equal(a2c2,b1c1)
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_488]) ).
cnf(c_0_490,plain,
( incident(a2,ob)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_489,c_0_120]) ).
cnf(c_0_491,plain,
( incident(a2,ob)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_490]) ).
cnf(c_0_492,plain,
( point_equal(b1,a2)
| line_equal(b1c1,a2c2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_484]),c_0_107])]),c_0_486]) ).
cnf(c_0_493,plain,
( incident(a2,ob)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_256,c_0_491]) ).
cnf(c_0_494,plain,
( incident(b1,X1)
| line_equal(a2c2,b1c1)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_487]) ).
cnf(c_0_495,plain,
( point_equal(a2,b1)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_492]) ).
cnf(c_0_496,plain,
( point_equal(a2,b2)
| incident(c1,a2c2)
| line_equal(a2b2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_493]),c_0_77])]) ).
cnf(c_0_497,plain,
( incident(a2,a1b1)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_489,c_0_244]) ).
cnf(c_0_498,plain,
( incident(b1,X1)
| ~ line_equal(b1c1,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_107]) ).
cnf(c_0_499,plain,
( incident(b1,a2b2)
| line_equal(a2c2,b1c1) ),
inference(spm,[status(thm)],[c_0_494,c_0_77]) ).
cnf(c_0_500,plain,
( point_equal(X1,b1)
| line_equal(b1c1,a2c2)
| ~ point_equal(X1,a2) ),
inference(spm,[status(thm)],[c_0_227,c_0_495]) ).
cnf(c_0_501,plain,
( point_equal(b2,a2)
| incident(c1,a2c2)
| line_equal(a2b2,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_496]) ).
cnf(c_0_502,plain,
( incident(a2,a1b1)
| line_equal(b1c1,a2c2) ),
inference(spm,[status(thm)],[c_0_78,c_0_497]) ).
cnf(c_0_503,plain,
( incident(b1,oc)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_498,c_0_288]) ).
cnf(c_0_504,plain,
( incident(b1,a2b2)
| incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_293,c_0_499]) ).
cnf(c_0_505,plain,
( incident(c1,a2c2)
| line_equal(a2b2,ob) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_138]),c_0_256]) ).
cnf(c_0_506,plain,
( incident(a2,a1b1)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_256,c_0_502]) ).
cnf(c_0_507,plain,
( ~ incident(a1,oc)
| ~ incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_178,c_0_75]) ).
cnf(c_0_508,plain,
( incident(b1,a2b2)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_503,c_0_504]) ).
cnf(c_0_509,plain,
( incident(c1,a2c2)
| line_equal(ob,a2b2) ),
inference(spm,[status(thm)],[c_0_78,c_0_505]) ).
cnf(c_0_510,plain,
( incident(c1,a2c2)
| line_equal(oa,a1b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_506]),c_0_123])]),c_0_124]) ).
cnf(c_0_511,plain,
( incident(b1,a2b2)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_507,c_0_508]) ).
cnf(c_0_512,plain,
( incident(a2,ob)
| incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_293,c_0_490]) ).
cnf(c_0_513,plain,
( point_equal(X1,a2)
| incident(c1,a2c2)
| ~ incident(X1,a2b2)
| ~ incident(X1,a1b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_506]),c_0_143]) ).
cnf(c_0_514,plain,
( incident(c1,a2c2)
| incident(o,a2b2) ),
inference(spm,[status(thm)],[c_0_150,c_0_509]) ).
cnf(c_0_515,plain,
( incident(c1,a2c2)
| incident(o,a1b1) ),
inference(spm,[status(thm)],[c_0_152,c_0_510]) ).
cnf(c_0_516,plain,
( point_equal(b1,a2)
| ~ incident(a1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_511]),c_0_107])]),c_0_486]) ).
cnf(c_0_517,plain,
( incident(a2,ob)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_503,c_0_512]) ).
cnf(c_0_518,plain,
( point_equal(o,a2)
| incident(c1,a2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_515]) ).
cnf(c_0_519,plain,
( incident(a2,a1b1)
| incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_293,c_0_497]) ).
cnf(c_0_520,plain,
( point_equal(a2,b1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_516]) ).
cnf(c_0_521,plain,
( point_equal(a2,b2)
| incident(b1,oc)
| line_equal(a2b2,ob) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_517]),c_0_77])]) ).
cnf(c_0_522,plain,
( incident(ab,X1)
| ~ incident(a1,oc)
| ~ incident(b1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_511]),c_0_244])]) ).
cnf(c_0_523,plain,
( incident(ac,X1)
| ~ line_equal(a2c2,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_113]) ).
cnf(c_0_524,plain,
( point_equal(o,b1)
| incident(c1,a2c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_518]),c_0_256]) ).
cnf(c_0_525,plain,
( point_equal(ab,a2)
| incident(c1,a2b2)
| ~ incident(a2,a1b1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_318]),c_0_61]) ).
cnf(c_0_526,plain,
( incident(a2,a1b1)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_503,c_0_519]) ).
cnf(c_0_527,plain,
( point_equal(X1,b1)
| ~ point_equal(X1,a2)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_227,c_0_520]) ).
cnf(c_0_528,plain,
( point_equal(b2,a2)
| incident(b1,oc)
| line_equal(a2b2,ob) ),
inference(spm,[status(thm)],[c_0_144,c_0_521]) ).
cnf(c_0_529,plain,
( ~ incident(a1,oc)
| ~ incident(bc,X1)
| ~ incident(ac,X1)
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_522]) ).
cnf(c_0_530,plain,
( incident(a2,a1b1)
| incident(ac,b1c1) ),
inference(spm,[status(thm)],[c_0_523,c_0_497]) ).
cnf(c_0_531,plain,
( point_equal(b1,o)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_524]) ).
cnf(c_0_532,plain,
( point_equal(ab,a2)
| incident(b1,oc) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_486]) ).
cnf(c_0_533,plain,
( line_equal(a2b2,ob)
| ~ incident(a1,oc) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_528]),c_0_138]),c_0_507]) ).
cnf(c_0_534,plain,
( incident(a2,a1b1)
| ~ incident(a1,oc) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_102]),c_0_107])]) ).
cnf(c_0_535,plain,
( incident(c1,a2c2)
| incident(b1,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_531]) ).
cnf(c_0_536,plain,
( incident(b1,oc)
| incident(ab,X1)
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_532]) ).
cnf(c_0_537,plain,
incident(a2,b1c1),
inference(sr,[status(thm)],[c_0_61,c_0_486]) ).
cnf(c_0_538,plain,
( line_equal(ob,a2b2)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_78,c_0_533]) ).
cnf(c_0_539,plain,
( line_equal(oa,a1b1)
| ~ incident(a1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_534]),c_0_123])]),c_0_124]) ).
cnf(c_0_540,plain,
( incident(b1,oc)
| incident(c1,a2c2) ),
inference(spm,[status(thm)],[c_0_535,c_0_133]) ).
cnf(c_0_541,plain,
( incident(ab,b1c1)
| incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_542,plain,
( point_equal(X1,ab)
| ~ point_equal(X1,X2)
| ~ incident(X2,a2b2)
| ~ incident(X2,a1b1) ),
inference(spm,[status(thm)],[c_0_227,c_0_154]) ).
cnf(c_0_543,plain,
( incident(o,a2b2)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_150,c_0_538]) ).
cnf(c_0_544,plain,
( incident(o,a1b1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_152,c_0_539]) ).
cnf(c_0_545,plain,
( incident(b1,oc)
| incident(ac,X1)
| ~ incident(c1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_540]),c_0_65])]) ).
cnf(c_0_546,plain,
( incident(b1,oc)
| ~ incident(ac,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_541]),c_0_102])]) ).
cnf(c_0_547,plain,
( point_equal(X1,ab)
| ~ point_equal(X1,o)
| ~ incident(a1,oc) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_544]) ).
cnf(c_0_548,plain,
point_equal(o,o),
inference(spm,[status(thm)],[c_0_388,c_0_133]) ).
cnf(c_0_549,plain,
( point_equal(b1,c1)
| line_equal(oc,b1c1)
| ~ incident(b1,oc) ),
inference(spm,[status(thm)],[c_0_309,c_0_107]) ).
cnf(c_0_550,plain,
incident(b1,oc),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_74]),c_0_546]) ).
cnf(c_0_551,plain,
( point_equal(ab,a2)
| ~ incident(a1,oc) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_522]),c_0_107])]),c_0_486]) ).
cnf(c_0_552,plain,
( point_equal(o,ab)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_553,plain,
( point_equal(b1,c1)
| line_equal(oc,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_550])]) ).
cnf(c_0_554,plain,
( point_equal(ab,b1)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_527,c_0_551]) ).
cnf(c_0_555,plain,
( point_equal(ab,o)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_552]) ).
cnf(c_0_556,plain,
( incident(b1,X1)
| line_equal(oc,b1c1)
| ~ incident(c1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_553]) ).
cnf(c_0_557,plain,
( point_equal(b1,ab)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_144,c_0_554]) ).
cnf(c_0_558,plain,
( incident(ab,X1)
| ~ incident(a1,oc)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_555]) ).
cnf(c_0_559,plain,
( point_equal(X1,a2)
| line_equal(X2,b1c1)
| ~ incident(a2,X2)
| ~ incident(X1,b1c1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_537]) ).
cnf(c_0_560,plain,
( line_equal(oc,b1c1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_288]) ).
cnf(c_0_561,plain,
line_equal(oc,b1c1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_65]),c_0_188]) ).
cnf(c_0_562,plain,
( incident(b1,X1)
| ~ incident(a1,oc)
| ~ incident(ab,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_557]) ).
cnf(c_0_563,plain,
( incident(ab,oc)
| ~ incident(a1,oc) ),
inference(spm,[status(thm)],[c_0_558,c_0_133]) ).
cnf(c_0_564,plain,
( point_equal(X1,a2)
| line_equal(oa,b1c1)
| ~ incident(X1,b1c1)
| ~ incident(X1,oa) ),
inference(spm,[status(thm)],[c_0_559,c_0_123]) ).
cnf(c_0_565,plain,
( incident(o,b1c1)
| ~ incident(c2,b1c1) ),
inference(spm,[status(thm)],[c_0_148,c_0_560]) ).
cnf(c_0_566,plain,
( incident(a1,oc)
| ~ incident(c2,b1c1)
| ~ line_equal(oa,b1c1) ),
inference(spm,[status(thm)],[c_0_322,c_0_292]) ).
cnf(c_0_567,plain,
incident(c2,b1c1),
inference(spm,[status(thm)],[c_0_215,c_0_561]) ).
cnf(c_0_568,plain,
~ incident(a1,oc),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_507]) ).
cnf(c_0_569,plain,
( point_equal(o,a2)
| line_equal(oa,b1c1)
| ~ incident(c2,b1c1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_139])]) ).
cnf(c_0_570,plain,
~ line_equal(oa,b1c1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_566,c_0_567])]),c_0_568]) ).
cnf(c_0_571,plain,
point_equal(o,a2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_569,c_0_567])]),c_0_570]) ).
cnf(c_0_572,plain,
point_equal(a2,o),
inference(spm,[status(thm)],[c_0_144,c_0_571]) ).
cnf(c_0_573,plain,
( ~ incident(a2,oc)
| ~ incident(b2,oc) ),
inference(spm,[status(thm)],[c_0_104,c_0_81]) ).
cnf(c_0_574,plain,
incident(a2,oc),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_550]),c_0_296]) ).
cnf(c_0_575,plain,
( incident(a2,X1)
| ~ incident(o,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_572]) ).
cnf(c_0_576,plain,
( incident(b2,oc)
| ~ incident(c2,b1c1)
| ~ line_equal(ob,b1c1) ),
inference(spm,[status(thm)],[c_0_341,c_0_292]) ).
cnf(c_0_577,plain,
~ incident(b2,oc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_573,c_0_574])]) ).
cnf(c_0_578,plain,
( point_equal(a2,b1)
| line_equal(ob,b1c1)
| ~ incident(a2,ob) ),
inference(spm,[status(thm)],[c_0_136,c_0_537]) ).
cnf(c_0_579,plain,
incident(a2,ob),
inference(spm,[status(thm)],[c_0_575,c_0_135]) ).
cnf(c_0_580,plain,
~ line_equal(ob,b1c1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_576,c_0_567])]),c_0_577]) ).
cnf(c_0_581,plain,
point_equal(a2,b1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_578,c_0_579])]),c_0_580]) ).
cnf(c_0_582,plain,
~ incident(a2,a1b1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_567])]) ).
cnf(c_0_583,plain,
( incident(a2,X1)
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_581]) ).
cnf(c_0_584,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_244])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO169+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:00:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 5.58/5.67 % Version : CSE_E---1.5
% 5.58/5.67 % Problem : theBenchmark.p
% 5.58/5.67 % Proof found
% 5.58/5.67 % SZS status Theorem for theBenchmark.p
% 5.58/5.67 % SZS output start Proof
% See solution above
% 5.66/5.69 % Total time : 5.071000 s
% 5.66/5.69 % SZS output end Proof
% 5.66/5.69 % Total time : 5.075000 s
%------------------------------------------------------------------------------