%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO169+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:19:39 PM UTC 2026
% Result : Theorem 91.29s 66.57s
% Output : CNFRefutation 91.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 48
% Syntax : Number of formulae : 447 ( 108 unt; 0 def)
% Number of atoms : 1466 ( 848 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1475 ( 456 ~; 987 |; 15 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 254 ( 2 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t_b_in_a,axiom,
( ( incident(b1,a2a3)
& incident(b2,a3a1)
& incident(b3,a1a2) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_b_in_a) ).
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(gap1,axiom,
( incident(a1,b2b3)
| incident(b3,a1a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap1) ).
fof(gap3,axiom,
( incident(a3,b1b2)
| incident(b2,a3a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap3) ).
fof(unique,axiom,
! [X1,X2,X3,X4] :
( ( incident(X1,X3)
& incident(X1,X4)
& incident(X2,X3)
& incident(X2,X4) )
=> ( X1 = X2
| X3 = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique) ).
fof(gap2,axiom,
( incident(a2,b3b1)
| incident(b1,a2a3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap2) ).
fof(ia3a2,axiom,
incident(a3,a2a3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3a2) ).
fof(ib1b2,axiom,
incident(b1,b1b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1b2) ).
fof(ia2a1,axiom,
incident(a2,a1a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2a1) ).
fof(sort_point,axiom,
! [X1,X2] :
( incident(X1,X2)
=> point(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sort_point) ).
fof(ib3b1,axiom,
incident(b3,b3b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3b1) ).
fof(ib2b1,axiom,
incident(b2,b1b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2b1) ).
fof(join,axiom,
! [X1,X2] :
( ( point(X1)
& point(X2) )
=> ? [X3] :
( incident(X1,X3)
& incident(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',join) ).
fof(ib2b3,axiom,
incident(b2,b2b3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2b3) ).
fof(iss2,axiom,
incident(s,s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss2) ).
fof(iss1,axiom,
incident(s,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss1) ).
fof(meet,axiom,
! [X1,X2] :
( ( line(X1)
& line(X2) )
=> ? [X3] :
( incident(X3,X1)
& incident(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet) ).
fof(sort_line,axiom,
! [X1,X2] :
( incident(X1,X2)
=> line(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sort_line) ).
fof(diff_b1_b2,axiom,
( b1 = b2
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b1_b2) ).
fof(ia1a3,axiom,
incident(a1,a3a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1a3) ).
fof(iss3,axiom,
incident(s,s3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss3) ).
fof(ib1b3,axiom,
incident(b1,b3b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1b3) ).
fof(t_a_in_b,axiom,
( ( incident(a1,b2b3)
& incident(a2,b3b1)
& incident(a3,b1b2) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_a_in_b) ).
fof(ia3s3,axiom,
incident(a3,s3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3s3) ).
fof(ib2s2,axiom,
incident(b2,s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2s2) ).
fof(ia2s2,axiom,
incident(a2,s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2s2) ).
fof(ia3a1,axiom,
incident(a3,a3a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3a1) ).
fof(not23,axiom,
( a2a3 = b2b3
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not23) ).
fof(ib1s1,axiom,
incident(b1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1s1) ).
fof(ip1b,axiom,
incident(p1,b2b3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip1b) ).
fof(ib3s3,axiom,
incident(b3,s3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3s3) ).
fof(ip1a,axiom,
incident(p1,a2a3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip1a) ).
fof(not12,axiom,
( a1a2 = b1b2
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not12) ).
fof(ib3b2,axiom,
incident(b3,b2b3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3b2) ).
fof(ip3a,axiom,
incident(p3,a1a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip3a) ).
fof(ip3b,axiom,
incident(p3,b1b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip3b) ).
fof(not31,axiom,
( a3a1 = b3b1
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not31) ).
fof(goal_normal,axiom,
! [X1] :
( ( incident(p3,X1)
& incident(p1,X1)
& incident(p2,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_normal) ).
fof(ia1s1,axiom,
incident(a1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1s1) ).
fof(ia2a3,axiom,
incident(a2,a2a3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2a3) ).
fof(diff_b3_b1,axiom,
( b3 = b1
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b3_b1) ).
fof(ip2a,axiom,
incident(p2,a3a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip2a) ).
fof(ia1a2,axiom,
incident(a1,a1a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1a2) ).
fof(diff_a2_a3,axiom,
( a2 = a3
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a2_a3) ).
fof(ip2b,axiom,
incident(p2,b3b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip2b) ).
fof(diff_b2_b3,axiom,
( b2 = b3
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b2_b3) ).
fof(diff_a3_a1,axiom,
( a3 = a1
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a3_a1) ).
fof(diff_a1_a2,axiom,
( a1 = a2
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a1_a2) ).
fof(c_0_48,plain,
( ~ incident(b1,a2a3)
| ~ incident(b2,a3a1)
| ~ incident(b3,a1a2)
| goal ),
inference(fof_nnf,[status(thm)],[t_b_in_a]) ).
fof(c_0_49,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).
cnf(c_0_50,plain,
( goal
| ~ incident(b1,a2a3)
| ~ incident(b2,a3a1)
| ~ incident(b3,a1a2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_52,plain,
( ~ incident(b1,a2a3)
| ~ incident(b2,a3a1)
| ~ incident(b3,a1a2) ),
inference(sr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
( incident(a1,b2b3)
| incident(b3,a1a2) ),
inference(split_conjunct,[status(thm)],[gap1]) ).
cnf(c_0_54,plain,
( incident(a1,b2b3)
| ~ incident(b1,a2a3)
| ~ incident(b2,a3a1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,plain,
( incident(a3,b1b2)
| incident(b2,a3a1) ),
inference(split_conjunct,[status(thm)],[gap3]) ).
fof(c_0_56,plain,
! [X49,X50,X51,X52] :
( ~ incident(X49,X51)
| ~ incident(X49,X52)
| ~ incident(X50,X51)
| ~ incident(X50,X52)
| X49 = X50
| X51 = X52 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).
cnf(c_0_57,plain,
( incident(a3,b1b2)
| incident(a1,b2b3)
| ~ incident(b1,a2a3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( incident(a2,b3b1)
| incident(b1,a2a3) ),
inference(split_conjunct,[status(thm)],[gap2]) ).
cnf(c_0_59,plain,
( X1 = X4
| X2 = X3
| ~ incident(X1,X2)
| ~ incident(X1,X3)
| ~ incident(X4,X2)
| ~ incident(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,plain,
( incident(a2,b3b1)
| incident(a1,b2b3)
| incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( X1 = a3
| X2 = b1b2
| incident(a1,b2b3)
| incident(a2,b3b1)
| ~ incident(a3,X2)
| ~ incident(X1,b1b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,plain,
incident(a3,a2a3),
inference(split_conjunct,[status(thm)],[ia3a2]) ).
cnf(c_0_63,plain,
( a2a3 = b1b2
| X1 = a3
| incident(a2,b3b1)
| incident(a1,b2b3)
| ~ incident(X1,b1b2)
| ~ incident(X1,a2a3) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
incident(b1,b1b2),
inference(split_conjunct,[status(thm)],[ib1b2]) ).
cnf(c_0_65,plain,
( b1 = a3
| a2a3 = b1b2
| incident(a1,b2b3)
| incident(a2,b3b1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_58]) ).
cnf(c_0_66,plain,
( a2a3 = b1b2
| b1 = a3
| X1 = a2
| X2 = b3b1
| incident(a1,b2b3)
| ~ incident(a2,X2)
| ~ incident(X1,b3b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_67,plain,
incident(a2,a1a2),
inference(split_conjunct,[status(thm)],[ia2a1]) ).
fof(c_0_68,plain,
! [X33,X34] :
( ~ incident(X33,X34)
| point(X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_point])]) ).
cnf(c_0_69,plain,
( b3b1 = a1a2
| b1 = a3
| a2a3 = b1b2
| X1 = a2
| incident(a1,b2b3)
| ~ incident(X1,b3b1)
| ~ incident(X1,a1a2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
incident(b3,b3b1),
inference(split_conjunct,[status(thm)],[ib3b1]) ).
cnf(c_0_71,plain,
incident(b2,b1b2),
inference(split_conjunct,[status(thm)],[ib2b1]) ).
fof(c_0_72,plain,
! [X53,X54] :
( ( incident(X53,esk1_2(X53,X54))
| ~ point(X53)
| ~ point(X54) )
& ( incident(X54,esk1_2(X53,X54))
| ~ point(X53)
| ~ point(X54) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[join])])])]) ).
cnf(c_0_73,plain,
( point(X1)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
incident(b2,b2b3),
inference(split_conjunct,[status(thm)],[ib2b3]) ).
cnf(c_0_75,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b3b1 = a1a2
| incident(a1,b2b3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_53]) ).
cnf(c_0_76,plain,
incident(s,s2),
inference(split_conjunct,[status(thm)],[iss2]) ).
cnf(c_0_77,plain,
incident(s,s1),
inference(split_conjunct,[status(thm)],[iss1]) ).
fof(c_0_78,plain,
! [X56,X57] :
( ( incident(esk2_2(X56,X57),X56)
| ~ line(X56)
| ~ line(X57) )
& ( incident(esk2_2(X56,X57),X57)
| ~ line(X56)
| ~ line(X57) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meet])])])]) ).
fof(c_0_79,plain,
! [X35,X36] :
( ~ incident(X35,X36)
| line(X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_line])]) ).
cnf(c_0_80,plain,
( X1 = b2
| X2 = b1b2
| ~ incident(b2,X2)
| ~ incident(X1,b1b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_71]) ).
cnf(c_0_81,plain,
( incident(X1,esk1_2(X1,X2))
| ~ point(X1)
| ~ point(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
point(b2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_83,plain,
( b1 != b2
| goal ),
inference(fof_nnf,[status(thm)],[diff_b1_b2]) ).
cnf(c_0_84,plain,
( b3b1 = a1a2
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| X1 = a1
| X2 = b2b3
| ~ incident(a1,X2)
| ~ incident(X1,b2b3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_75]) ).
cnf(c_0_85,plain,
incident(a1,a3a1),
inference(split_conjunct,[status(thm)],[ia1a3]) ).
cnf(c_0_86,plain,
incident(s,s3),
inference(split_conjunct,[status(thm)],[iss3]) ).
cnf(c_0_87,plain,
( X1 = s
| X2 = s2
| ~ incident(s,X2)
| ~ incident(X1,s2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_76]) ).
cnf(c_0_88,plain,
( incident(X1,esk1_2(X2,X1))
| ~ point(X2)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_89,plain,
point(s),
inference(spm,[status(thm)],[c_0_73,c_0_77]) ).
cnf(c_0_90,plain,
( incident(esk2_2(X1,X2),X2)
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,plain,
( line(X2)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,plain,
incident(b1,b3b1),
inference(split_conjunct,[status(thm)],[ib1b3]) ).
cnf(c_0_93,plain,
( esk1_2(b2,X1) = b1b2
| X2 = b2
| ~ point(X1)
| ~ incident(X2,esk1_2(b2,X1))
| ~ incident(X2,b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_94,plain,
( goal
| b1 != b2 ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_95,plain,
( ~ incident(a1,b2b3)
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2)
| goal ),
inference(fof_nnf,[status(thm)],[t_a_in_b]) ).
cnf(c_0_96,plain,
( a3a1 = b2b3
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b3b1 = a1a2
| X1 = a1
| ~ incident(X1,b2b3)
| ~ incident(X1,a3a1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_97,plain,
( X1 = s
| X2 = s3
| ~ incident(s,X2)
| ~ incident(X1,s3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_86]) ).
cnf(c_0_98,plain,
( esk1_2(X1,s) = s2
| X2 = s
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,s))
| ~ incident(X2,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_99,plain,
( X1 = esk2_2(X2,X3)
| X4 = X3
| ~ line(X2)
| ~ incident(esk2_2(X2,X3),X4)
| ~ incident(X1,X3)
| ~ incident(X1,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_90]),c_0_91]) ).
cnf(c_0_100,plain,
( incident(esk2_2(X1,X2),X1)
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_101,plain,
incident(a3,s3),
inference(split_conjunct,[status(thm)],[ia3s3]) ).
cnf(c_0_102,plain,
( X1 = b1
| X2 = a2a3
| incident(a2,b3b1)
| ~ incident(b1,X2)
| ~ incident(X1,a2a3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_103,plain,
point(b1),
inference(spm,[status(thm)],[c_0_73,c_0_92]) ).
cnf(c_0_104,plain,
( esk1_2(b2,X1) = b1b2
| X1 = b2
| ~ incident(X1,b1b2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_88]),c_0_82])]),c_0_73]) ).
cnf(c_0_105,plain,
b2 != b1,
inference(sr,[status(thm)],[c_0_94,c_0_51]) ).
cnf(c_0_106,plain,
( goal
| ~ incident(a1,b2b3)
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_107,plain,
( b2 = a1
| b3b1 = a1a2
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| a3a1 = b2b3
| ~ incident(b2,a3a1) ),
inference(spm,[status(thm)],[c_0_96,c_0_74]) ).
cnf(c_0_108,plain,
( esk1_2(X1,s) = s3
| X2 = s
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,s))
| ~ incident(X2,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_88]),c_0_89])]) ).
cnf(c_0_109,plain,
( esk1_2(X1,s) = s2
| X1 = s
| ~ incident(X1,s2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_81]),c_0_89])]),c_0_73]) ).
cnf(c_0_110,plain,
incident(b2,s2),
inference(split_conjunct,[status(thm)],[ib2s2]) ).
cnf(c_0_111,plain,
incident(a2,s2),
inference(split_conjunct,[status(thm)],[ia2s2]) ).
cnf(c_0_112,plain,
( X1 = esk2_2(X2,X3)
| X2 = X3
| ~ incident(X1,X3)
| ~ incident(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_91]),c_0_91]) ).
cnf(c_0_113,plain,
( X1 = a3
| X2 = s3
| ~ incident(a3,X2)
| ~ incident(X1,s3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_101]) ).
cnf(c_0_114,plain,
incident(a3,a3a1),
inference(split_conjunct,[status(thm)],[ia3a1]) ).
cnf(c_0_115,plain,
( esk1_2(X1,b1) = a2a3
| X2 = b1
| incident(a2,b3b1)
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,b1))
| ~ incident(X2,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_88]),c_0_103])]) ).
cnf(c_0_116,plain,
esk1_2(b2,b1) = b1b2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_64]),c_0_105]) ).
cnf(c_0_117,plain,
( ~ incident(a1,b2b3)
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2) ),
inference(sr,[status(thm)],[c_0_106,c_0_51]) ).
cnf(c_0_118,plain,
( a3a1 = b2b3
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b3b1 = a1a2
| b2 = a1
| incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_107,c_0_55]) ).
fof(c_0_119,plain,
( a2a3 != b2b3
| goal ),
inference(fof_nnf,[status(thm)],[not23]) ).
cnf(c_0_120,plain,
incident(b1,s1),
inference(split_conjunct,[status(thm)],[ib1s1]) ).
cnf(c_0_121,plain,
( esk2_2(X1,esk1_2(X2,s)) = s
| esk1_2(X2,s) = s3
| ~ line(esk1_2(X2,s))
| ~ line(X1)
| ~ point(X2)
| ~ incident(esk2_2(X1,esk1_2(X2,s)),s3) ),
inference(spm,[status(thm)],[c_0_108,c_0_90]) ).
cnf(c_0_122,plain,
( esk1_2(b2,s) = s2
| s = b2 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_123,plain,
line(s2),
inference(spm,[status(thm)],[c_0_91,c_0_111]) ).
cnf(c_0_124,plain,
( esk2_2(X1,s2) = b2
| X1 = s2
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_110]) ).
cnf(c_0_125,plain,
incident(p1,b2b3),
inference(split_conjunct,[status(thm)],[ip1b]) ).
cnf(c_0_126,plain,
( s3 = a3a1
| X1 = a3
| ~ incident(X1,s3)
| ~ incident(X1,a3a1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_127,plain,
incident(b3,s3),
inference(split_conjunct,[status(thm)],[ib3s3]) ).
cnf(c_0_128,plain,
( a2a3 = b1b2
| X1 = b1
| incident(a2,b3b1)
| ~ incident(X1,b1b2)
| ~ incident(X1,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_82])]) ).
cnf(c_0_129,plain,
( b2 = a1
| b3b1 = a1a2
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| a3a1 = b2b3
| ~ incident(a2,b3b1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_75]) ).
cnf(c_0_130,plain,
incident(p1,a2a3),
inference(split_conjunct,[status(thm)],[ip1a]) ).
cnf(c_0_131,plain,
( goal
| a2a3 != b2b3 ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_132,plain,
( a1a2 != b1b2
| goal ),
inference(fof_nnf,[status(thm)],[not12]) ).
cnf(c_0_133,plain,
( X1 = b1
| X2 = s1
| ~ incident(b1,X2)
| ~ incident(X1,s1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_120]) ).
cnf(c_0_134,plain,
( esk2_2(X1,s2) = s
| s = b2
| s3 = s2
| ~ line(X1)
| ~ incident(esk2_2(X1,s2),s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_82])]) ).
cnf(c_0_135,plain,
( esk2_2(b2b3,s2) = b2
| s2 = b2b3 ),
inference(spm,[status(thm)],[c_0_124,c_0_74]) ).
cnf(c_0_136,plain,
line(b2b3),
inference(spm,[status(thm)],[c_0_91,c_0_125]) ).
cnf(c_0_137,plain,
( b3 = a3
| s3 = a3a1
| ~ incident(b3,a3a1) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_138,plain,
( b2 = a1
| b3b1 = a1a2
| b3 = a2
| a3a1 = b2b3
| b1 = a3
| a2a3 = b1b2 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_118]),c_0_62])]),c_0_129]) ).
cnf(c_0_139,plain,
incident(b3,b2b3),
inference(split_conjunct,[status(thm)],[ib3b2]) ).
cnf(c_0_140,plain,
( X1 = p1
| X2 = a2a3
| ~ incident(p1,X2)
| ~ incident(X1,a2a3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_130]) ).
cnf(c_0_141,plain,
a2a3 != b2b3,
inference(sr,[status(thm)],[c_0_131,c_0_51]) ).
cnf(c_0_142,plain,
incident(p3,a1a2),
inference(split_conjunct,[status(thm)],[ip3a]) ).
cnf(c_0_143,plain,
( goal
| a1a2 != b1b2 ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_144,plain,
( s1 = b1b2
| X1 = b1
| ~ incident(X1,s1)
| ~ incident(X1,b1b2) ),
inference(spm,[status(thm)],[c_0_133,c_0_64]) ).
cnf(c_0_145,plain,
( s2 = b2b3
| s3 = s2
| s = b2
| ~ incident(b2,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_146,plain,
( a2a3 = b1b2
| b1 = a3
| b3 = a2
| b3b1 = a1a2
| b2 = a1
| s3 = b2b3
| b3 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).
cnf(c_0_147,plain,
( X1 = p1
| ~ incident(X1,a2a3)
| ~ incident(X1,b2b3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_125]),c_0_141]) ).
cnf(c_0_148,plain,
line(a2a3),
inference(spm,[status(thm)],[c_0_91,c_0_130]) ).
cnf(c_0_149,plain,
( X1 = p3
| X2 = a1a2
| ~ incident(p3,X2)
| ~ incident(X1,a1a2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_142]) ).
cnf(c_0_150,plain,
incident(p3,b1b2),
inference(split_conjunct,[status(thm)],[ip3b]) ).
cnf(c_0_151,plain,
a1a2 != b1b2,
inference(sr,[status(thm)],[c_0_143,c_0_51]) ).
fof(c_0_152,plain,
( a3a1 != b3b1
| goal ),
inference(fof_nnf,[status(thm)],[not31]) ).
fof(c_0_153,plain,
! [X32] :
( ~ incident(p3,X32)
| ~ incident(p1,X32)
| ~ incident(p2,X32)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])]) ).
cnf(c_0_154,plain,
incident(a1,s1),
inference(split_conjunct,[status(thm)],[ia1s1]) ).
cnf(c_0_155,plain,
( esk2_2(X1,s2) = a2
| X1 = s2
| ~ incident(a2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_156,plain,
incident(a2,a2a3),
inference(split_conjunct,[status(thm)],[ia2a3]) ).
cnf(c_0_157,plain,
( s = b1
| s1 = b1b2
| ~ incident(s,b1b2) ),
inference(spm,[status(thm)],[c_0_144,c_0_77]) ).
cnf(c_0_158,plain,
( b3 = a3
| b2 = a1
| b3b1 = a1a2
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| s = b2
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_74])]) ).
cnf(c_0_159,plain,
( esk2_2(a2a3,X1) = p1
| ~ line(X1)
| ~ incident(esk2_2(a2a3,X1),b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_100]),c_0_148])]) ).
cnf(c_0_160,plain,
( X1 = p3
| ~ incident(X1,a1a2)
| ~ incident(X1,b1b2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_161,plain,
line(a1a2),
inference(spm,[status(thm)],[c_0_91,c_0_142]) ).
cnf(c_0_162,plain,
( X1 = b3
| X2 = b3b1
| ~ incident(b3,X2)
| ~ incident(X1,b3b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_70]) ).
cnf(c_0_163,plain,
point(b3),
inference(spm,[status(thm)],[c_0_73,c_0_139]) ).
fof(c_0_164,plain,
( b3 != b1
| goal ),
inference(fof_nnf,[status(thm)],[diff_b3_b1]) ).
cnf(c_0_165,plain,
incident(p2,a3a1),
inference(split_conjunct,[status(thm)],[ip2a]) ).
cnf(c_0_166,plain,
( goal
| a3a1 != b3b1 ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_167,plain,
( goal
| ~ incident(p3,X1)
| ~ incident(p1,X1)
| ~ incident(p2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_168,plain,
( esk2_2(X1,a3a1) = a3
| X1 = a3a1
| ~ incident(a3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_114]) ).
cnf(c_0_169,plain,
( esk2_2(X1,s1) = a1
| X1 = s1
| ~ incident(a1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_154]) ).
cnf(c_0_170,plain,
incident(a1,a1a2),
inference(split_conjunct,[status(thm)],[ia1a2]) ).
cnf(c_0_171,plain,
( esk2_2(a2a3,s2) = a2
| s2 = a2a3 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_172,plain,
( s2 = b2b3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b3b1 = a1a2
| b2 = a1
| b3 = a3
| s1 = b1b2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_71])]),c_0_105]) ).
cnf(c_0_173,plain,
esk2_2(a2a3,b2b3) = p1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_90]),c_0_136]),c_0_148])]) ).
cnf(c_0_174,plain,
( esk2_2(a1a2,X1) = p3
| ~ line(X1)
| ~ incident(esk2_2(a1a2,X1),b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_100]),c_0_161])]) ).
cnf(c_0_175,plain,
line(b1b2),
inference(spm,[status(thm)],[c_0_91,c_0_150]) ).
fof(c_0_176,plain,
( a2 != a3
| goal ),
inference(fof_nnf,[status(thm)],[diff_a2_a3]) ).
cnf(c_0_177,plain,
( esk1_2(b3,X1) = b3b1
| X2 = b3
| ~ point(X1)
| ~ incident(X2,esk1_2(b3,X1))
| ~ incident(X2,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_81]),c_0_163])]) ).
cnf(c_0_178,plain,
( goal
| b3 != b1 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_179,plain,
( X1 = p2
| X2 = a3a1
| ~ incident(p2,X2)
| ~ incident(X1,a3a1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_165]) ).
cnf(c_0_180,plain,
incident(p2,b3b1),
inference(split_conjunct,[status(thm)],[ip2b]) ).
cnf(c_0_181,plain,
a3a1 != b3b1,
inference(sr,[status(thm)],[c_0_166,c_0_51]) ).
cnf(c_0_182,plain,
( ~ incident(p3,X1)
| ~ incident(p1,X1)
| ~ incident(p2,X1) ),
inference(sr,[status(thm)],[c_0_167,c_0_51]) ).
cnf(c_0_183,plain,
( esk2_2(a2a3,a3a1) = a3
| a3a1 = a2a3 ),
inference(spm,[status(thm)],[c_0_168,c_0_62]) ).
cnf(c_0_184,plain,
( esk2_2(a1a2,s1) = a1
| s1 = a1a2 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_185,plain,
( s1 = b1b2
| b3 = a3
| b2 = a1
| b3b1 = a1a2
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| p1 = a2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_141]) ).
cnf(c_0_186,plain,
esk2_2(a1a2,b1b2) = p3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_90]),c_0_175]),c_0_161])]) ).
cnf(c_0_187,plain,
( goal
| a2 != a3 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_188,plain,
( esk1_2(X1,b1) = s1
| X2 = b1
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,b1))
| ~ incident(X2,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_88]),c_0_103])]) ).
cnf(c_0_189,plain,
( esk1_2(b3,X1) = b3b1
| X1 = b3
| ~ incident(X1,b3b1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_88]),c_0_163])]),c_0_73]) ).
cnf(c_0_190,plain,
b3 != b1,
inference(sr,[status(thm)],[c_0_178,c_0_51]) ).
cnf(c_0_191,plain,
( X1 = p2
| ~ incident(X1,a3a1)
| ~ incident(X1,b3b1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]) ).
cnf(c_0_192,plain,
line(a3a1),
inference(spm,[status(thm)],[c_0_91,c_0_165]) ).
cnf(c_0_193,plain,
( ~ incident(p3,a3a1)
| ~ incident(p1,a3a1) ),
inference(spm,[status(thm)],[c_0_182,c_0_165]) ).
cnf(c_0_194,plain,
( a2a3 = b1b2
| b1 = a3
| b3 = a2
| b3b1 = a1a2
| b2 = a1
| p1 = a3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_138]),c_0_173]),c_0_141]) ).
cnf(c_0_195,plain,
( p1 = a2
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b3b1 = a1a2
| b2 = a1
| b3 = a3
| p3 = a1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_151]) ).
cnf(c_0_196,plain,
a3 != a2,
inference(sr,[status(thm)],[c_0_187,c_0_51]) ).
cnf(c_0_197,plain,
( esk2_2(X1,esk1_2(X2,b1)) = b1
| esk1_2(X2,b1) = s1
| ~ line(esk1_2(X2,b1))
| ~ line(X1)
| ~ point(X2)
| ~ incident(esk2_2(X1,esk1_2(X2,b1)),s1) ),
inference(spm,[status(thm)],[c_0_188,c_0_90]) ).
cnf(c_0_198,plain,
esk1_2(b3,b1) = b3b1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_92]),c_0_190]) ).
cnf(c_0_199,plain,
line(b3b1),
inference(spm,[status(thm)],[c_0_91,c_0_180]) ).
cnf(c_0_200,plain,
( esk2_2(a3a1,X1) = p2
| ~ line(X1)
| ~ incident(esk2_2(a3a1,X1),b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_100]),c_0_192])]) ).
cnf(c_0_201,plain,
( b2 = a1
| b3b1 = a1a2
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| ~ incident(p3,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_114])]) ).
cnf(c_0_202,plain,
( p3 = a1
| b3 = a3
| b2 = a1
| b3b1 = a1a2
| b3 = a2
| b1 = a3
| a2a3 = b1b2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]) ).
cnf(c_0_203,plain,
( esk2_2(X1,b3b1) = b1
| s1 = b3b1
| ~ line(X1)
| ~ incident(esk2_2(X1,b3b1),s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]),c_0_163])]) ).
cnf(c_0_204,plain,
esk2_2(a3a1,b3b1) = p2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_90]),c_0_199]),c_0_192])]) ).
cnf(c_0_205,plain,
( p2 = a1
| ~ incident(a1,b3b1) ),
inference(spm,[status(thm)],[c_0_191,c_0_85]) ).
cnf(c_0_206,plain,
( b3 = a3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b3b1 = a1a2
| b2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_85])]) ).
cnf(c_0_207,plain,
( X1 = b2
| X2 = s2
| ~ incident(b2,X2)
| ~ incident(X1,s2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_110]) ).
cnf(c_0_208,plain,
( s3 = s1
| X1 = s
| ~ incident(X1,s3)
| ~ incident(X1,s1) ),
inference(spm,[status(thm)],[c_0_97,c_0_77]) ).
cnf(c_0_209,plain,
( s1 = b3b1
| p2 = b1
| ~ incident(p2,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_192])]) ).
cnf(c_0_210,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| b3 = a3
| p2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_170])]) ).
fof(c_0_211,plain,
( b2 != b3
| goal ),
inference(fof_nnf,[status(thm)],[diff_b2_b3]) ).
cnf(c_0_212,plain,
( X1 = b3
| X2 = b2b3
| ~ incident(b3,X2)
| ~ incident(X1,b2b3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_139]) ).
cnf(c_0_213,plain,
( s2 = b2b3
| X1 = b2
| ~ incident(X1,s2)
| ~ incident(X1,b2b3) ),
inference(spm,[status(thm)],[c_0_207,c_0_74]) ).
cnf(c_0_214,plain,
( s = b3
| s3 = s1
| ~ incident(b3,s1) ),
inference(spm,[status(thm)],[c_0_208,c_0_127]) ).
cnf(c_0_215,plain,
( b3 = a3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b2 = a1
| b1 = a1
| s1 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_154])]) ).
cnf(c_0_216,plain,
( goal
| b2 != b3 ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_217,plain,
( esk1_2(b3,X1) = b2b3
| X2 = b3
| ~ point(X1)
| ~ incident(X2,esk1_2(b3,X1))
| ~ incident(X2,b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_81]),c_0_163])]) ).
cnf(c_0_218,plain,
( esk2_2(X1,s3) = a3
| X1 = s3
| ~ incident(a3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_101]) ).
cnf(c_0_219,plain,
( s = b2
| s2 = b2b3
| ~ incident(s,b2b3) ),
inference(spm,[status(thm)],[c_0_213,c_0_76]) ).
cnf(c_0_220,plain,
( b1 = a1
| b2 = a1
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| b3 = a3
| s3 = b3b1
| s = b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_70])]) ).
cnf(c_0_221,plain,
b3 != b2,
inference(sr,[status(thm)],[c_0_216,c_0_51]) ).
cnf(c_0_222,plain,
( X1 = a3
| X2 = a2a3
| ~ incident(a3,X2)
| ~ incident(X1,a2a3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_62]) ).
cnf(c_0_223,plain,
point(a3),
inference(spm,[status(thm)],[c_0_73,c_0_62]) ).
cnf(c_0_224,plain,
( X1 = esk1_2(X2,X3)
| X4 = X3
| ~ point(X2)
| ~ incident(X4,esk1_2(X2,X3))
| ~ incident(X3,X1)
| ~ incident(X4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_88]),c_0_73]) ).
cnf(c_0_225,plain,
( esk1_2(b3,X1) = b2b3
| X1 = b3
| ~ incident(X1,b2b3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_88]),c_0_163])]),c_0_73]) ).
cnf(c_0_226,plain,
( esk2_2(a3a1,s3) = a3
| s3 = a3a1 ),
inference(spm,[status(thm)],[c_0_218,c_0_114]) ).
cnf(c_0_227,plain,
( s3 = b3b1
| b3 = a3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b2 = a1
| b1 = a1
| s2 = b2b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_139])]),c_0_221]) ).
fof(c_0_228,plain,
( a3 != a1
| goal ),
inference(fof_nnf,[status(thm)],[diff_a3_a1]) ).
cnf(c_0_229,plain,
( X1 = a2
| X2 = s2
| ~ incident(a2,X2)
| ~ incident(X1,s2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_111]) ).
cnf(c_0_230,plain,
point(a2),
inference(spm,[status(thm)],[c_0_73,c_0_156]) ).
cnf(c_0_231,plain,
( esk1_2(a3,X1) = a2a3
| X2 = a3
| ~ point(X1)
| ~ incident(X2,esk1_2(a3,X1))
| ~ incident(X2,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_81]),c_0_223])]) ).
cnf(c_0_232,plain,
( esk2_2(X1,esk1_2(X2,X3)) = X3
| X4 = esk1_2(X2,X3)
| ~ line(esk1_2(X2,X3))
| ~ line(X1)
| ~ point(X2)
| ~ incident(esk2_2(X1,esk1_2(X2,X3)),X4)
| ~ incident(X3,X4) ),
inference(spm,[status(thm)],[c_0_224,c_0_90]) ).
cnf(c_0_233,plain,
esk1_2(b3,b2) = b2b3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_74]),c_0_221]) ).
cnf(c_0_234,plain,
( s2 = b2b3
| b1 = a1
| b2 = a1
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| b3 = a3
| p2 = a3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_204]),c_0_181]) ).
cnf(c_0_235,plain,
( goal
| a3 != a1 ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_236,plain,
( esk1_2(X1,a2) = s2
| X2 = a2
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,a2))
| ~ incident(X2,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_88]),c_0_230])]) ).
cnf(c_0_237,plain,
( esk1_2(a3,X1) = a2a3
| X1 = a3
| ~ incident(X1,a2a3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_88]),c_0_223])]),c_0_73]) ).
cnf(c_0_238,plain,
( esk2_2(X1,b2b3) = b2
| X2 = b2b3
| ~ line(X1)
| ~ incident(esk2_2(X1,b2b3),X2)
| ~ incident(b2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_136]),c_0_163])]) ).
cnf(c_0_239,plain,
( ~ incident(p3,b3b1)
| ~ incident(p1,b3b1) ),
inference(spm,[status(thm)],[c_0_182,c_0_180]) ).
cnf(c_0_240,plain,
( p2 = a3
| b3 = a3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b2 = a1
| b1 = a1
| p1 = a2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_234]),c_0_173]),c_0_141]) ).
cnf(c_0_241,plain,
a3 != a1,
inference(sr,[status(thm)],[c_0_235,c_0_51]) ).
cnf(c_0_242,plain,
( esk2_2(X1,esk1_2(X2,a2)) = a2
| esk1_2(X2,a2) = s2
| ~ line(esk1_2(X2,a2))
| ~ line(X1)
| ~ point(X2)
| ~ incident(esk2_2(X1,esk1_2(X2,a2)),s2) ),
inference(spm,[status(thm)],[c_0_236,c_0_90]) ).
cnf(c_0_243,plain,
esk1_2(a3,a2) = a2a3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_156]),c_0_196]) ).
cnf(c_0_244,plain,
( esk2_2(X1,a2a3) = p1
| ~ line(X1)
| ~ incident(esk2_2(X1,a2a3),b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_90]),c_0_148])]) ).
cnf(c_0_245,plain,
( p1 = b2
| X1 = b2b3
| ~ incident(p1,X1)
| ~ incident(b2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_173]),c_0_148])]) ).
cnf(c_0_246,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| a2a3 = b1b2
| b3 = a3
| ~ incident(p1,a1a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_206]),c_0_142])]) ).
cnf(c_0_247,plain,
( p1 = a2
| b1 = a1
| b3 = a3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b2 = a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_240]),c_0_241]) ).
cnf(c_0_248,plain,
( esk2_2(X1,a2a3) = a2
| s2 = a2a3
| ~ line(X1)
| ~ incident(esk2_2(X1,a2a3),s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_148]),c_0_223])]) ).
cnf(c_0_249,plain,
esk2_2(b2b3,a2a3) = p1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_100]),c_0_136]),c_0_148])]) ).
cnf(c_0_250,plain,
( p1 = b2
| ~ incident(b2,a2a3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_130]),c_0_141]) ).
cnf(c_0_251,plain,
( b1 = a1
| b3 = a3
| a2a3 = b1b2
| b1 = a3
| b3 = a2
| b2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_67])]) ).
cnf(c_0_252,plain,
( esk1_2(X1,a3) = a2a3
| X2 = a3
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,a3))
| ~ incident(X2,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_88]),c_0_223])]) ).
cnf(c_0_253,plain,
( X1 = b3
| X2 = s3
| ~ incident(b3,X2)
| ~ incident(X1,s3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_127]) ).
cnf(c_0_254,plain,
( X1 = a1
| X2 = s1
| ~ incident(a1,X2)
| ~ incident(X1,s1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_154]) ).
cnf(c_0_255,plain,
( s3 = s2
| X1 = s
| ~ incident(X1,s3)
| ~ incident(X1,s2) ),
inference(spm,[status(thm)],[c_0_97,c_0_76]) ).
cnf(c_0_256,plain,
( s2 = a2a3
| p1 = a2
| ~ incident(p1,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_136])]) ).
cnf(c_0_257,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b3 = a3
| b1 = a1
| p1 = b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_71])]) ).
cnf(c_0_258,plain,
( esk1_2(X1,a3) = a2a3
| X1 = a3
| ~ incident(X1,a2a3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_81]),c_0_223])]),c_0_73]) ).
cnf(c_0_259,plain,
( s3 = b2b3
| X1 = b3
| ~ incident(X1,s3)
| ~ incident(X1,b2b3) ),
inference(spm,[status(thm)],[c_0_253,c_0_139]) ).
cnf(c_0_260,plain,
line(s3),
inference(spm,[status(thm)],[c_0_91,c_0_101]) ).
cnf(c_0_261,plain,
( s1 = a3a1
| X1 = a1
| ~ incident(X1,s1)
| ~ incident(X1,a3a1) ),
inference(spm,[status(thm)],[c_0_254,c_0_85]) ).
cnf(c_0_262,plain,
( s = a3
| s3 = s2
| ~ incident(a3,s2) ),
inference(spm,[status(thm)],[c_0_255,c_0_101]) ).
cnf(c_0_263,plain,
( b1 = a1
| b3 = a3
| b1 = a3
| b3 = a2
| b2 = a1
| b2 = a2
| s2 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_110])]) ).
cnf(c_0_264,plain,
( esk2_2(esk1_2(X1,X2),X3) = X2
| X4 = esk1_2(X1,X2)
| ~ line(esk1_2(X1,X2))
| ~ line(X3)
| ~ point(X1)
| ~ incident(esk2_2(esk1_2(X1,X2),X3),X4)
| ~ incident(X2,X4) ),
inference(spm,[status(thm)],[c_0_224,c_0_100]) ).
cnf(c_0_265,plain,
esk1_2(a2,a3) = a2a3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_156]),c_0_196]) ).
cnf(c_0_266,plain,
point(p2),
inference(spm,[status(thm)],[c_0_73,c_0_180]) ).
cnf(c_0_267,plain,
( esk2_2(X1,s3) = b3
| s3 = b2b3
| ~ line(X1)
| ~ incident(esk2_2(X1,s3),b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_90]),c_0_260])]) ).
cnf(c_0_268,plain,
( s = a1
| s1 = a3a1
| ~ incident(s,a3a1) ),
inference(spm,[status(thm)],[c_0_261,c_0_77]) ).
cnf(c_0_269,plain,
( b2 = a2
| b2 = a1
| b3 = a2
| b1 = a3
| b3 = a3
| b1 = a1
| s3 = a2a3
| s = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_62])]) ).
cnf(c_0_270,plain,
( esk2_2(a2a3,X1) = a3
| X2 = a2a3
| ~ line(X1)
| ~ incident(esk2_2(a2a3,X1),X2)
| ~ incident(a3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_148]),c_0_230])]) ).
cnf(c_0_271,plain,
( ~ point(X1)
| ~ incident(p3,esk1_2(p2,X1))
| ~ incident(p1,esk1_2(p2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_81]),c_0_266])]) ).
cnf(c_0_272,plain,
point(p1),
inference(spm,[status(thm)],[c_0_73,c_0_125]) ).
cnf(c_0_273,plain,
( esk2_2(X1,b3b1) = b1
| X1 = b3b1
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_92]) ).
cnf(c_0_274,plain,
( esk2_2(b2b3,s3) = b3
| s3 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_100]),c_0_136]),c_0_260])]) ).
cnf(c_0_275,plain,
( s3 = a2a3
| b1 = a1
| b3 = a3
| b1 = a3
| b3 = a2
| b2 = a1
| b2 = a2
| s1 = a3a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_114])]),c_0_241]) ).
cnf(c_0_276,plain,
( esk1_2(X1,b2) = b1b2
| X2 = b2
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,b2))
| ~ incident(X2,b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_88]),c_0_82])]) ).
cnf(c_0_277,plain,
( esk2_2(X1,a2a3) = a3
| X1 = a2a3
| ~ incident(a3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_62]) ).
cnf(c_0_278,plain,
( esk2_2(a2a3,X1) = a3
| X1 = a2a3
| ~ incident(a3,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_90]),c_0_148])]),c_0_91]) ).
cnf(c_0_279,plain,
~ incident(p3,esk1_2(p2,p1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_88]),c_0_272]),c_0_266])]) ).
cnf(c_0_280,plain,
( esk2_2(s1,b3b1) = b1
| s1 = b3b1 ),
inference(spm,[status(thm)],[c_0_273,c_0_120]) ).
cnf(c_0_281,plain,
( s1 = a3a1
| b2 = a2
| b2 = a1
| b3 = a2
| b1 = a3
| b3 = a3
| b1 = a1
| p1 = b3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_249]),c_0_141]) ).
cnf(c_0_282,plain,
( esk1_2(X1,b2) = b1b2
| X1 = b2
| ~ incident(X1,b1b2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_81]),c_0_82])]),c_0_73]) ).
cnf(c_0_283,plain,
( X1 = a3
| X2 = a3a1
| ~ incident(a3,X2)
| ~ incident(X1,a3a1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_114]) ).
cnf(c_0_284,plain,
( esk2_2(esk1_2(X1,a3),a2a3) = a3
| esk1_2(X1,a3) = a2a3
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_88]),c_0_223])]) ).
cnf(c_0_285,plain,
( esk2_2(a2a3,esk1_2(X1,a3)) = a3
| esk1_2(X1,a3) = a2a3
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_88]),c_0_223])]) ).
cnf(c_0_286,plain,
( esk2_2(X1,b3b1) = b3
| X1 = b3b1
| ~ incident(b3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_70]) ).
cnf(c_0_287,plain,
( b1 = a1
| b3 = a3
| b1 = a3
| b3 = a2
| b2 = a1
| ~ incident(p3,esk1_2(p2,b2)) ),
inference(spm,[status(thm)],[c_0_279,c_0_257]) ).
cnf(c_0_288,plain,
( p1 = b3
| b1 = a1
| b3 = a3
| b1 = a3
| b3 = a2
| b2 = a1
| b2 = a2
| p2 = b1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_204]),c_0_181]) ).
cnf(c_0_289,plain,
esk1_2(b1,b2) = b1b2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_64]),c_0_105]) ).
cnf(c_0_290,plain,
( esk1_2(X1,a3) = a3a1
| X2 = a3
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,a3))
| ~ incident(X2,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_88]),c_0_223])]) ).
cnf(c_0_291,plain,
( esk2_2(X1,a2a3) = a2
| X2 = a2a3
| ~ line(X1)
| ~ incident(esk2_2(X1,a2a3),X2)
| ~ incident(a2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_243]),c_0_148]),c_0_223])]) ).
cnf(c_0_292,plain,
( esk2_2(esk1_2(b1,a3),a2a3) = a3
| esk1_2(b1,a3) = a2a3 ),
inference(spm,[status(thm)],[c_0_284,c_0_103]) ).
cnf(c_0_293,plain,
( esk2_2(a2a3,esk1_2(b1,a3)) = a3
| esk1_2(b1,a3) = a2a3 ),
inference(spm,[status(thm)],[c_0_285,c_0_103]) ).
cnf(c_0_294,plain,
( esk1_2(X1,b3) = b3b1
| X2 = b3
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,b3))
| ~ incident(X2,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_88]),c_0_163])]) ).
cnf(c_0_295,plain,
( esk2_2(esk1_2(X1,b3),b3b1) = b3
| esk1_2(X1,b3) = b3b1
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_88]),c_0_163])]) ).
cnf(c_0_296,plain,
point(a1),
inference(spm,[status(thm)],[c_0_73,c_0_85]) ).
cnf(c_0_297,plain,
( b2 = a2
| p1 = b3
| b2 = a1
| b3 = a2
| b1 = a3
| b3 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]),c_0_150])]) ).
cnf(c_0_298,plain,
( esk1_2(X1,a3) = a3a1
| X1 = a3
| ~ incident(X1,a3a1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_81]),c_0_223])]),c_0_73]) ).
cnf(c_0_299,plain,
( esk1_2(b1,a3) = a2a3
| X1 = a2a3
| ~ line(esk1_2(b1,a3))
| ~ incident(a3,X1)
| ~ incident(a2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_196]) ).
cnf(c_0_300,plain,
( line(esk1_2(X1,X2))
| ~ point(X1)
| ~ point(X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_88]) ).
cnf(c_0_301,plain,
( esk1_2(b1,a3) = a2a3
| incident(a3,esk1_2(b1,a3))
| ~ line(esk1_2(b1,a3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_293]),c_0_148])]) ).
cnf(c_0_302,plain,
( esk1_2(X1,b3) = b3b1
| X1 = b3
| ~ incident(X1,b3b1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_81]),c_0_163])]),c_0_73]) ).
cnf(c_0_303,plain,
( esk2_2(esk1_2(a1,b3),b3b1) = b3
| esk1_2(a1,b3) = b3b1 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_304,plain,
( b2 = a2
| b1 = a1
| b3 = a3
| b1 = a3
| b3 = a2
| b2 = a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_297]),c_0_221]) ).
cnf(c_0_305,plain,
esk1_2(a1,a3) = a3a1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_85]),c_0_241]) ).
cnf(c_0_306,plain,
( esk2_2(X1,b2b3) = b3
| X1 = b2b3
| ~ incident(b3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_139]) ).
cnf(c_0_307,plain,
( X1 = b2
| X2 = a3a1
| incident(a3,b1b2)
| ~ incident(b2,X2)
| ~ incident(X1,a3a1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_55]) ).
cnf(c_0_308,plain,
( esk1_2(b1,a3) = a2a3
| X1 = a2a3
| ~ incident(a3,X1)
| ~ incident(a2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_103]),c_0_223])]) ).
cnf(c_0_309,plain,
( esk1_2(b1,a3) = a2a3
| incident(a3,esk1_2(b1,a3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_300]),c_0_103]),c_0_223])]) ).
cnf(c_0_310,plain,
esk1_2(b1,b3) = b3b1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_92]),c_0_190]) ).
cnf(c_0_311,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| p2 = a3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]),c_0_204]),c_0_305]),c_0_181]) ).
cnf(c_0_312,plain,
( esk2_2(esk1_2(X1,b3),b2b3) = b3
| esk1_2(X1,b3) = b2b3
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_88]),c_0_163])]) ).
cnf(c_0_313,plain,
( esk1_2(X1,b2) = a3a1
| X2 = b2
| incident(a3,b1b2)
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,b2))
| ~ incident(X2,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_88]),c_0_82])]) ).
cnf(c_0_314,plain,
( b3b1 = a2a3
| X1 = b1
| incident(a2,b3b1)
| ~ incident(X1,b3b1)
| ~ incident(X1,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_198]),c_0_163])]) ).
cnf(c_0_315,plain,
( esk1_2(b1,a3) = a2a3
| ~ incident(a2,esk1_2(b1,a3)) ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_316,plain,
( esk1_2(b1,a3) = b3b1
| b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2 ),
inference(spm,[status(thm)],[c_0_310,c_0_304]) ).
cnf(c_0_317,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b3 = a2
| b2 = a1
| ~ incident(p3,X1)
| ~ incident(p1,X1)
| ~ incident(a3,X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_311]) ).
cnf(c_0_318,plain,
( esk2_2(esk1_2(a2,b3),b2b3) = b3
| esk1_2(a2,b3) = b2b3 ),
inference(spm,[status(thm)],[c_0_312,c_0_230]) ).
cnf(c_0_319,plain,
( a3a1 = b2b3
| X1 = b2
| incident(a3,b1b2)
| ~ incident(X1,b2b3)
| ~ incident(X1,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_233]),c_0_163])]) ).
cnf(c_0_320,plain,
( esk2_2(X1,a3a1) = p2
| ~ line(X1)
| ~ incident(esk2_2(X1,a3a1),b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_90]),c_0_192])]) ).
cnf(c_0_321,plain,
( b3b1 = a2a3
| incident(a2,b3b1)
| ~ incident(b3,a2a3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_70]),c_0_190]) ).
cnf(c_0_322,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b3 = a2
| b2 = a1
| b3b1 = a2a3
| ~ incident(a2,b3b1) ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_323,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| ~ incident(p1,b1b2)
| ~ incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_317,c_0_150]) ).
cnf(c_0_324,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| p1 = a3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_304]),c_0_265]),c_0_173]),c_0_265]),c_0_141]) ).
cnf(c_0_325,plain,
( a3a1 = b2b3
| incident(a3,b1b2)
| ~ incident(b3,a3a1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_139]),c_0_221]) ).
cnf(c_0_326,plain,
esk2_2(b3b1,a3a1) = p2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_100]),c_0_199]),c_0_192])]) ).
cnf(c_0_327,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| b3b1 = a2a3 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_304]),c_0_62])]),c_0_322]) ).
cnf(c_0_328,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b3 = a2
| b2 = a1
| ~ incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_329,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| a3a1 = b2b3
| incident(a3,b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_304]),c_0_114])]) ).
cnf(c_0_330,plain,
( esk2_2(a2a3,a3a1) = p2
| b2 = a2
| b1 = a1
| b1 = a3
| b3 = a2
| b2 = a1 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_331,plain,
( a3a1 = b2b3
| b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_332,plain,
( esk1_2(X1,b3) = b2b3
| X2 = b3
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,b3))
| ~ incident(X2,b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_88]),c_0_163])]) ).
cnf(c_0_333,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| p2 = p1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_173]) ).
cnf(c_0_334,plain,
( esk1_2(X1,b3) = b2b3
| X1 = b3
| ~ incident(X1,b2b3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_81]),c_0_163])]),c_0_73]) ).
cnf(c_0_335,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b3 = a2
| b2 = a1
| ~ incident(p3,X1)
| ~ incident(p1,X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_333]) ).
cnf(c_0_336,plain,
point(p3),
inference(spm,[status(thm)],[c_0_73,c_0_142]) ).
cnf(c_0_337,plain,
esk1_2(b2,b3) = b2b3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_74]),c_0_221]) ).
cnf(c_0_338,plain,
( esk2_2(X1,b2b3) = b2
| X1 = b2b3
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_74]) ).
cnf(c_0_339,plain,
( esk1_2(a2,s) = s2
| s = a2 ),
inference(spm,[status(thm)],[c_0_109,c_0_111]) ).
cnf(c_0_340,plain,
( s3 = a2a3
| X1 = a3
| ~ incident(X1,s3)
| ~ incident(X1,a2a3) ),
inference(spm,[status(thm)],[c_0_113,c_0_62]) ).
cnf(c_0_341,plain,
( b2 = a1
| b3 = a2
| b1 = a3
| b1 = a1
| b2 = a2
| ~ point(X1)
| ~ incident(p1,esk1_2(X1,p3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_88]),c_0_336])]) ).
cnf(c_0_342,plain,
( esk2_2(X1,b2b3) = b3
| X2 = b2b3
| ~ line(X1)
| ~ incident(esk2_2(X1,b2b3),X2)
| ~ incident(b3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_337]),c_0_136]),c_0_82])]) ).
cnf(c_0_343,plain,
( esk2_2(s2,b2b3) = b2
| s2 = b2b3 ),
inference(spm,[status(thm)],[c_0_338,c_0_110]) ).
cnf(c_0_344,plain,
( esk2_2(X1,s2) = s
| s = a2
| s3 = s2
| ~ line(X1)
| ~ incident(esk2_2(X1,s2),s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_339]),c_0_123]),c_0_230])]) ).
cnf(c_0_345,plain,
( b3 = a3
| s3 = a2a3
| ~ incident(b3,a2a3) ),
inference(spm,[status(thm)],[c_0_340,c_0_127]) ).
cnf(c_0_346,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b3 = a2
| b2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_81]),c_0_272]),c_0_336])]) ).
fof(c_0_347,plain,
( a1 != a2
| goal ),
inference(fof_nnf,[status(thm)],[diff_a1_a2]) ).
cnf(c_0_348,plain,
( s2 = b2b3
| X1 = b2b3
| ~ incident(b2,X1)
| ~ incident(b3,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_123])]),c_0_221]) ).
cnf(c_0_349,plain,
( s1 = a1a2
| X1 = a1
| ~ incident(X1,s1)
| ~ incident(X1,a1a2) ),
inference(spm,[status(thm)],[c_0_254,c_0_170]) ).
cnf(c_0_350,plain,
( s2 = a2a3
| s3 = s2
| s = a2
| ~ incident(a2,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_171]),c_0_148])]) ).
cnf(c_0_351,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| b2 = a2
| s3 = a2a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_156])]),c_0_196]) ).
cnf(c_0_352,plain,
( goal
| a1 != a2 ),
inference(split_conjunct,[status(thm)],[c_0_347]) ).
cnf(c_0_353,plain,
( s2 = b2b3
| ~ incident(b3,s2) ),
inference(spm,[status(thm)],[c_0_348,c_0_110]) ).
cnf(c_0_354,plain,
( s = a1
| s1 = a1a2
| ~ incident(s,a1a2) ),
inference(spm,[status(thm)],[c_0_349,c_0_77]) ).
cnf(c_0_355,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b2 = a1
| s = a2
| s2 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_156])]) ).
cnf(c_0_356,plain,
a2 != a1,
inference(sr,[status(thm)],[c_0_352,c_0_51]) ).
cnf(c_0_357,plain,
( esk2_2(X1,s1) = b1
| X1 = s1
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_120]) ).
cnf(c_0_358,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| b2 = a2
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_346]),c_0_111])]) ).
cnf(c_0_359,plain,
( s2 = a2a3
| b2 = a1
| b1 = a3
| b1 = a1
| b2 = a2
| s1 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_67])]),c_0_356]) ).
cnf(c_0_360,plain,
( esk2_2(X1,a1a2) = p3
| ~ line(X1)
| ~ incident(esk2_2(X1,a1a2),b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_90]),c_0_161])]) ).
cnf(c_0_361,plain,
( X1 = a2
| X2 = a1a2
| ~ incident(a2,X2)
| ~ incident(X1,a1a2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_67]) ).
cnf(c_0_362,plain,
( esk2_2(X1,b1b2) = b2
| X1 = b1b2
| ~ incident(b2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_71]) ).
cnf(c_0_363,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b2 = a1
| p1 = b3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_351]),c_0_249]),c_0_141]) ).
cnf(c_0_364,plain,
( esk2_2(b1b2,s1) = b1
| s1 = b1b2 ),
inference(spm,[status(thm)],[c_0_357,c_0_64]) ).
cnf(c_0_365,plain,
( s1 = a1a2
| b2 = a2
| b1 = a1
| b1 = a3
| b2 = a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_141]) ).
cnf(c_0_366,plain,
esk2_2(b1b2,a1a2) = p3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_100]),c_0_175]),c_0_161])]) ).
cnf(c_0_367,plain,
( esk1_2(X1,a2) = a1a2
| X2 = a2
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,a2))
| ~ incident(X2,a1a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_88]),c_0_230])]) ).
cnf(c_0_368,plain,
( ~ point(p2)
| ~ point(X1)
| ~ incident(p3,esk1_2(X1,p2))
| ~ incident(p1,esk1_2(X1,p2)) ),
inference(spm,[status(thm)],[c_0_182,c_0_88]) ).
cnf(c_0_369,plain,
( esk2_2(esk1_2(X1,b2),b1b2) = b2
| esk1_2(X1,b2) = b1b2
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_88]),c_0_82])]) ).
cnf(c_0_370,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| b2 = a2
| ~ incident(p3,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_363]),c_0_70])]) ).
cnf(c_0_371,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| b2 = a2
| p3 = b1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]),c_0_151]) ).
cnf(c_0_372,plain,
( esk1_2(X1,a2) = a1a2
| X1 = a2
| ~ incident(X1,a1a2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_81]),c_0_230])]),c_0_73]) ).
cnf(c_0_373,plain,
( X1 = s
| X2 = s1
| ~ incident(s,X2)
| ~ incident(X1,s1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_77]) ).
cnf(c_0_374,plain,
( ~ point(p2)
| ~ incident(p3,esk1_2(p1,p2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_81]),c_0_272])]) ).
cnf(c_0_375,plain,
( esk2_2(esk1_2(a1,b2),b1b2) = b2
| esk1_2(a1,b2) = b1b2 ),
inference(spm,[status(thm)],[c_0_369,c_0_296]) ).
cnf(c_0_376,plain,
( b2 = a2
| b1 = a1
| b1 = a3
| b2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_92])]) ).
cnf(c_0_377,plain,
esk1_2(a1,a2) = a1a2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_170]),c_0_356]) ).
cnf(c_0_378,plain,
( esk2_2(esk1_2(X1,b2),b2b3) = b2
| esk1_2(X1,b2) = b2b3
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_88]),c_0_82])]) ).
cnf(c_0_379,plain,
( esk1_2(X1,s) = s1
| X2 = s
| ~ point(X1)
| ~ incident(X2,esk1_2(X1,s))
| ~ incident(X2,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_88]),c_0_89])]) ).
cnf(c_0_380,plain,
~ incident(p3,esk1_2(p1,p2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_266])]) ).
cnf(c_0_381,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| p3 = a2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]),c_0_186]),c_0_377]),c_0_151]) ).
cnf(c_0_382,plain,
( esk2_2(esk1_2(a3,b2),b2b3) = b2
| esk1_2(a3,b2) = b2b3 ),
inference(spm,[status(thm)],[c_0_378,c_0_223]) ).
cnf(c_0_383,plain,
( esk1_2(X1,s) = s1
| X1 = s
| ~ incident(X1,s1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_81]),c_0_89])]),c_0_73]) ).
cnf(c_0_384,plain,
( b1 = a1
| b1 = a3
| b2 = a1
| ~ incident(a2,esk1_2(p1,p2)) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_385,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| p1 = a2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_376]),c_0_243]),c_0_173]),c_0_243]),c_0_141]) ).
cnf(c_0_386,plain,
( esk2_2(s3,X1) = b3
| s3 = b2b3
| ~ line(X1)
| ~ incident(esk2_2(s3,X1),b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_100]),c_0_260])]) ).
cnf(c_0_387,plain,
( esk2_2(X1,esk1_2(X2,s)) = s
| esk1_2(X2,s) = s2
| ~ line(esk1_2(X2,s))
| ~ line(X1)
| ~ point(X2)
| ~ incident(esk2_2(X1,esk1_2(X2,s)),s2) ),
inference(spm,[status(thm)],[c_0_98,c_0_90]) ).
cnf(c_0_388,plain,
( esk1_2(a1,s) = s1
| s = a1 ),
inference(spm,[status(thm)],[c_0_383,c_0_154]) ).
cnf(c_0_389,plain,
line(s1),
inference(spm,[status(thm)],[c_0_91,c_0_154]) ).
cnf(c_0_390,plain,
( s2 = a1a2
| X1 = a2
| ~ incident(X1,s2)
| ~ incident(X1,a1a2) ),
inference(spm,[status(thm)],[c_0_229,c_0_67]) ).
cnf(c_0_391,plain,
( b2 = a1
| b1 = a3
| b1 = a1
| ~ incident(a2,esk1_2(a2,p2)) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_392,plain,
( esk2_2(X1,b1b2) = b1
| X1 = b1b2
| ~ incident(b1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_64]) ).
cnf(c_0_393,plain,
( esk2_2(s3,b2b3) = b3
| s3 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_90]),c_0_136]),c_0_260])]) ).
cnf(c_0_394,plain,
( esk2_2(X1,s1) = s
| s = a1
| s2 = s1
| ~ line(X1)
| ~ incident(esk2_2(X1,s1),s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389]),c_0_296])]) ).
cnf(c_0_395,plain,
( b2 = a2
| s2 = a1a2
| ~ incident(b2,a1a2) ),
inference(spm,[status(thm)],[c_0_390,c_0_110]) ).
cnf(c_0_396,plain,
( b1 = a1
| b1 = a3
| b2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_81]),c_0_266]),c_0_230])]) ).
cnf(c_0_397,plain,
( esk2_2(X1,b1b2) = b2
| X2 = b1b2
| ~ line(X1)
| ~ incident(esk2_2(X1,b1b2),X2)
| ~ incident(b2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_289]),c_0_175]),c_0_103])]) ).
cnf(c_0_398,plain,
( esk2_2(s1,b1b2) = b1
| s1 = b1b2 ),
inference(spm,[status(thm)],[c_0_392,c_0_120]) ).
cnf(c_0_399,plain,
( s3 = b2b3
| X1 = b2b3
| ~ incident(b3,X1)
| ~ incident(b2,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_393]),c_0_260])]),c_0_221]) ).
cnf(c_0_400,plain,
( s1 = a1a2
| s2 = s1
| s = a1
| ~ incident(a1,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_184]),c_0_161])]) ).
cnf(c_0_401,plain,
( b1 = a3
| b1 = a1
| s2 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_170])]),c_0_356]) ).
cnf(c_0_402,plain,
( s1 = b1b2
| X1 = b1b2
| ~ incident(b1,X1)
| ~ incident(b2,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_389])]),c_0_105]) ).
cnf(c_0_403,plain,
( s3 = b2b3
| ~ incident(b2,s3) ),
inference(spm,[status(thm)],[c_0_399,c_0_127]) ).
cnf(c_0_404,plain,
( s = a3
| s3 = a3a1
| ~ incident(s,a3a1) ),
inference(spm,[status(thm)],[c_0_126,c_0_86]) ).
cnf(c_0_405,plain,
( b1 = a1
| b1 = a3
| s = a1
| s1 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_170])]) ).
cnf(c_0_406,plain,
( s1 = b1b2
| ~ incident(b2,s1) ),
inference(spm,[status(thm)],[c_0_402,c_0_120]) ).
cnf(c_0_407,plain,
( b1 = a3
| b1 = a1
| s3 = b2b3
| ~ incident(a1,s3) ),
inference(spm,[status(thm)],[c_0_403,c_0_396]) ).
cnf(c_0_408,plain,
( s1 = a1a2
| b1 = a3
| b1 = a1
| s3 = a3a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_85])]),c_0_241]) ).
cnf(c_0_409,plain,
( b1 = a3
| b1 = a1
| s1 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_396]),c_0_154])]) ).
cnf(c_0_410,plain,
( s1 = a1a2
| a3a1 = b2b3
| b1 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_85])]) ).
cnf(c_0_411,plain,
( s3 = b3b1
| X1 = b3
| ~ incident(X1,s3)
| ~ incident(X1,b3b1) ),
inference(spm,[status(thm)],[c_0_253,c_0_70]) ).
cnf(c_0_412,plain,
( a3a1 = b2b3
| b1 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_151]) ).
cnf(c_0_413,plain,
( esk2_2(b1b2,s2) = b2
| s2 = b1b2 ),
inference(spm,[status(thm)],[c_0_124,c_0_71]) ).
cnf(c_0_414,plain,
( esk2_2(s3,X1) = b3
| s3 = b3b1
| ~ line(X1)
| ~ incident(esk2_2(s3,X1),b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_100]),c_0_260])]) ).
cnf(c_0_415,plain,
( b1 = a3
| b1 = a1
| ~ incident(p3,b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_412]),c_0_125])]) ).
cnf(c_0_416,plain,
( b1 = a1
| b1 = a3
| p3 = b2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_401]),c_0_366]),c_0_151]) ).
cnf(c_0_417,plain,
( esk2_2(X1,b3b1) = b1
| X2 = b3b1
| ~ line(X1)
| ~ incident(esk2_2(X1,b3b1),X2)
| ~ incident(b1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_198]),c_0_199]),c_0_163])]) ).
cnf(c_0_418,plain,
( esk2_2(s3,b3b1) = b3
| s3 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_90]),c_0_199]),c_0_260])]) ).
cnf(c_0_419,plain,
( b1 = a1
| s1 = a3a1
| ~ incident(b1,a3a1) ),
inference(spm,[status(thm)],[c_0_261,c_0_120]) ).
cnf(c_0_420,plain,
( b1 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_74])]) ).
cnf(c_0_421,plain,
( s3 = b3b1
| X1 = b3b1
| ~ incident(b3,X1)
| ~ incident(b1,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_260])]),c_0_190]) ).
cnf(c_0_422,plain,
( s2 = a2a3
| X1 = a2
| ~ incident(X1,s2)
| ~ incident(X1,a2a3) ),
inference(spm,[status(thm)],[c_0_229,c_0_156]) ).
cnf(c_0_423,plain,
( s = a3
| s3 = s1
| ~ incident(a3,s1) ),
inference(spm,[status(thm)],[c_0_208,c_0_101]) ).
cnf(c_0_424,plain,
( b1 = a1
| s1 = a3a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_114])]),c_0_241]) ).
cnf(c_0_425,plain,
( s3 = b3b1
| ~ incident(b1,s3) ),
inference(spm,[status(thm)],[c_0_421,c_0_127]) ).
cnf(c_0_426,plain,
( s = a2
| s2 = a2a3
| ~ incident(s,a2a3) ),
inference(spm,[status(thm)],[c_0_422,c_0_76]) ).
cnf(c_0_427,plain,
( b1 = a1
| s3 = a3a1
| s = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_114])]) ).
cnf(c_0_428,plain,
( esk2_2(b1b2,X1) = b1
| X2 = b1b2
| ~ line(X1)
| ~ incident(esk2_2(b1b2,X1),X2)
| ~ incident(b1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_116]),c_0_175]),c_0_82])]) ).
cnf(c_0_429,plain,
( b1 = a1
| s3 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_420]),c_0_101])]) ).
cnf(c_0_430,plain,
( s3 = a3a1
| b1 = a1
| s2 = a2a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_62])]),c_0_196]) ).
cnf(c_0_431,plain,
( esk2_2(b3b1,X1) = b1
| X2 = b3b1
| ~ line(X1)
| ~ incident(esk2_2(b3b1,X1),X2)
| ~ incident(b1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_198]),c_0_199]),c_0_163])]) ).
cnf(c_0_432,plain,
( esk2_2(b1b2,X1) = b1
| X1 = b1b2
| ~ incident(b1,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_90]),c_0_175])]),c_0_91]) ).
cnf(c_0_433,plain,
( b1 = a1
| p2 = b1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_424]),c_0_204]),c_0_181]) ).
cnf(c_0_434,plain,
( s2 = a2a3
| b1 = a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_181]) ).
cnf(c_0_435,plain,
( esk2_2(b3b1,X1) = b1
| X1 = b3b1
| ~ incident(b1,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_90]),c_0_199])]),c_0_91]) ).
cnf(c_0_436,plain,
( esk2_2(b1b2,esk1_2(b1,X1)) = b1
| esk1_2(b1,X1) = b1b2
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_81]),c_0_103])]) ).
cnf(c_0_437,plain,
( b1 = a1
| ~ incident(p3,esk1_2(p1,b1)) ),
inference(spm,[status(thm)],[c_0_380,c_0_433]) ).
cnf(c_0_438,plain,
( b1 = a1
| p1 = b2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_434]),c_0_249]),c_0_141]) ).
cnf(c_0_439,plain,
( esk2_2(b3b1,esk1_2(b1,X1)) = b1
| esk1_2(b1,X1) = b3b1
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_81]),c_0_103])]) ).
cnf(c_0_440,plain,
( esk2_2(b1b2,esk1_2(b1,a2)) = b1
| esk1_2(b1,a2) = b1b2 ),
inference(spm,[status(thm)],[c_0_436,c_0_230]) ).
cnf(c_0_441,plain,
b1 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_116]),c_0_150])]) ).
cnf(c_0_442,plain,
( esk2_2(b3b1,esk1_2(b1,a3)) = b1
| esk1_2(b1,a3) = b3b1 ),
inference(spm,[status(thm)],[c_0_439,c_0_223]) ).
cnf(c_0_443,plain,
p3 = a1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_440,c_0_441]),c_0_377]),c_0_366]),c_0_441]),c_0_441]),c_0_377]),c_0_151]) ).
cnf(c_0_444,plain,
p2 = a1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_441]),c_0_305]),c_0_326]),c_0_441]),c_0_441]),c_0_305]),c_0_181]) ).
cnf(c_0_445,plain,
~ incident(a1,esk1_2(a1,p1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_443]),c_0_444]) ).
cnf(c_0_446,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_81]),c_0_272]),c_0_296])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO169+2 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n008.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:44:58 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 91.29/66.57 % Version : CSE_E---1.7
% 91.29/66.57 % Problem : theBenchmark.p
% 91.29/66.57 % SZS status Theorem for theBenchmark.p
% 91.29/66.57 % SZS output start CNFRefutation
% See solution above
% 91.58/66.87 % Total time : 54.020s
%------------------------------------------------------------------------------