%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO169+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:27:31 PM UTC 2026
% Result : Theorem 11.25s 2.85s
% Output : CNFRefutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 48
% Syntax : Number of formulae : 320 ( 90 unt; 0 def)
% Number of atoms : 1024 ( 625 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 958 ( 254 ~; 672 |; 15 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 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 : 107 ( 2 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(t_b_in_a,axiom,
( ( incident(b3,a1a2)
& incident(b2,a3a1)
& incident(b1,a2a3) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_b_in_a) ).
fof(gap2,axiom,
( incident(b1,a2a3)
| incident(a2,b3b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap2) ).
fof(gap3,axiom,
( incident(b2,a3a1)
| incident(a3,b1b2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap3) ).
fof(unique,axiom,
! [X1,X2,X3,X4] :
( ( incident(X2,X4)
& incident(X2,X3)
& incident(X1,X4)
& incident(X1,X3) )
=> ( X3 = X4
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique) ).
fof(gap1,axiom,
( incident(b3,a1a2)
| incident(a1,b2b3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gap1) ).
fof(ia3a2,axiom,
incident(a3,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia3a2) ).
fof(ib1b2,axiom,
incident(b1,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1b2) ).
fof(t_a_in_b,axiom,
( ( incident(a3,b1b2)
& incident(a2,b3b1)
& incident(a1,b2b3) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_a_in_b) ).
fof(ib3b1,axiom,
incident(b3,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib3b1) ).
fof(ia2a1,axiom,
incident(a2,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2a1) ).
fof(ib2b3,axiom,
incident(b2,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2b3) ).
fof(ia1a3,axiom,
incident(a1,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1a3) ).
fof(ib3s3,axiom,
incident(b3,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib3s3) ).
fof(iss3,axiom,
incident(s,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iss3) ).
fof(ia3a1,axiom,
incident(a3,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia3a1) ).
fof(ia3s3,axiom,
incident(a3,s3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia3s3) ).
fof(iss1,axiom,
incident(s,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iss1) ).
fof(ib2s2,axiom,
incident(b2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2s2) ).
fof(iss2,axiom,
incident(s,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iss2) ).
fof(ib3b2,axiom,
incident(b3,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib3b2) ).
fof(diff_b3_b1,axiom,
( b3 = b1
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_b3_b1) ).
fof(ia2s2,axiom,
incident(a2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2s2) ).
fof(ia1s1,axiom,
incident(a1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1s1) ).
fof(not23,axiom,
( a2a3 = b2b3
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not23) ).
fof(not31,axiom,
( a3a1 = b3b1
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not31) ).
fof(ip1a,axiom,
incident(p1,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip1a) ).
fof(ia2a3,axiom,
incident(a2,a2a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia2a3) ).
fof(ib1s1,axiom,
incident(b1,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1s1) ).
fof(ib1b3,axiom,
incident(b1,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib1b3) ).
fof(ip1b,axiom,
incident(p1,b2b3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip1b) ).
fof(diff_a2_a3,axiom,
( a2 = a3
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_a2_a3) ).
fof(ip2b,axiom,
incident(p2,b3b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip2b) ).
fof(ip2a,axiom,
incident(p2,a3a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip2a) ).
fof(ia1a2,axiom,
incident(a1,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ia1a2) ).
fof(diff_b2_b3,axiom,
( b2 = b3
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_b2_b3) ).
fof(not12,axiom,
( a1a2 = b1b2
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not12) ).
fof(diff_a3_a1,axiom,
( a3 = a1
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_a3_a1) ).
fof(ip3b,axiom,
incident(p3,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip3b) ).
fof(ib2b1,axiom,
incident(b2,b1b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ib2b1) ).
fof(ip3a,axiom,
incident(p3,a1a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ip3a) ).
fof(diff_b1_b2,axiom,
( b1 = b2
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_b1_b2) ).
fof(goal_normal,axiom,
! [X1] :
( ( incident(p2,X1)
& incident(p1,X1)
& incident(p3,X1) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_normal) ).
fof(sort_point,axiom,
! [X1,X2] :
( incident(X1,X2)
=> point(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sort_point) ).
fof(join,axiom,
! [X1,X2] :
( ( point(X2)
& point(X1) )
=> ? [X3] :
( incident(X2,X3)
& incident(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join) ).
fof(diff_a1_a2,axiom,
( a1 = a2
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_a1_a2) ).
fof(meet,axiom,
! [X1,X2] :
( ( line(X2)
& line(X1) )
=> ? [X3] :
( incident(X3,X2)
& incident(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet) ).
fof(sort_line,axiom,
! [X1,X2] :
( incident(X1,X2)
=> line(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sort_line) ).
fof(c_0_48,negated_conjecture,
~ goal,
inference(assume_negation,[status(cth)],[goal_to_be_proved]) ).
fof(c_0_49,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_50,plain,
( goal
| ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[t_b_in_a])]) ).
fof(c_0_51,negated_conjecture,
~ goal,
inference(fof_nnf,[status(thm)],[c_0_49]) ).
cnf(c_0_52,plain,
( ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_53,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_54,plain,
( ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| ~ incident(b1,a2a3) ),
inference(sr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,plain,
( incident(b1,a2a3)
| incident(a2,b3b1) ),
inference(split_conjunct,[status(thm)],[gap2]) ).
cnf(c_0_56,plain,
( ~ incident(b3,a1a2)
| ~ incident(b2,a3a1)
| incident(a2,b3b1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,plain,
( incident(b2,a3a1)
| incident(a3,b1b2) ),
inference(split_conjunct,[status(thm)],[gap3]) ).
fof(c_0_58,plain,
! [X22,X23,X24,X25] :
( X24 = X25
| X22 = X23
| ~ incident(X23,X25)
| ~ incident(X23,X24)
| ~ incident(X22,X25)
| ~ incident(X22,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])])]) ).
cnf(c_0_59,plain,
( ~ incident(b3,a1a2)
| incident(a2,b3b1)
| incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
( incident(b3,a1a2)
| incident(a1,b2b3) ),
inference(split_conjunct,[status(thm)],[gap1]) ).
cnf(c_0_61,plain,
( ~ incident(X4,X3)
| ~ incident(X4,X2)
| ~ incident(X1,X3)
| ~ incident(X1,X2)
| X2 = X3
| X1 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,plain,
( incident(a3,b1b2)
| incident(a2,b3b1)
| incident(a1,b2b3) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b1b2)
| ~ incident(a3,X2)
| incident(a1,b2b3)
| incident(a2,b3b1)
| X2 = b1b2
| X1 = a3 ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
incident(a3,a2a3),
inference(split_conjunct,[status(thm)],[ia3a2]) ).
cnf(c_0_65,plain,
incident(b1,b1b2),
inference(split_conjunct,[status(thm)],[ib1b2]) ).
fof(c_0_66,plain,
( goal
| ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[t_a_in_b])]) ).
cnf(c_0_67,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a1a2)
| ~ incident(b3,X2)
| incident(a1,b2b3)
| X2 = a1a2
| X1 = b3 ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_68,plain,
( incident(a2,b3b1)
| incident(a1,b2b3)
| b1 = a3
| a2a3 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_55]),c_0_64]),c_0_65])]) ).
cnf(c_0_69,plain,
incident(b3,b3b1),
inference(split_conjunct,[status(thm)],[ib3b1]) ).
cnf(c_0_70,plain,
incident(a2,a1a2),
inference(split_conjunct,[status(thm)],[ia2a1]) ).
cnf(c_0_71,plain,
( ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a3a1)
| ~ incident(b2,X2)
| incident(a3,b1b2)
| X2 = a3a1
| X1 = b2 ),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
cnf(c_0_73,plain,
( incident(a1,b2b3)
| b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70])]) ).
cnf(c_0_74,plain,
incident(b2,b2b3),
inference(split_conjunct,[status(thm)],[ib2b3]) ).
cnf(c_0_75,plain,
incident(a1,a3a1),
inference(split_conjunct,[status(thm)],[ia1a3]) ).
cnf(c_0_76,plain,
incident(b3,s3),
inference(split_conjunct,[status(thm)],[ib3s3]) ).
cnf(c_0_77,plain,
( ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| ~ incident(a1,b2b3) ),
inference(sr,[status(thm)],[c_0_71,c_0_53]) ).
cnf(c_0_78,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a2a3)
| ~ incident(b1,X2)
| incident(a2,b3b1)
| X2 = a2a3
| X1 = b1 ),
inference(spm,[status(thm)],[c_0_61,c_0_55]) ).
cnf(c_0_79,plain,
( incident(a3,b1b2)
| b2 = a1
| a3a1 = b2b3
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_80,plain,
incident(s,s3),
inference(split_conjunct,[status(thm)],[iss3]) ).
cnf(c_0_81,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s3)
| ~ incident(b3,X2)
| X2 = s3
| X1 = b3 ),
inference(spm,[status(thm)],[c_0_61,c_0_76]) ).
cnf(c_0_82,plain,
incident(a3,a3a1),
inference(split_conjunct,[status(thm)],[ia3a1]) ).
cnf(c_0_83,plain,
incident(a3,s3),
inference(split_conjunct,[status(thm)],[ia3s3]) ).
cnf(c_0_84,plain,
( ~ incident(a3,b1b2)
| ~ incident(a2,b3b1)
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(spm,[status(thm)],[c_0_77,c_0_73]) ).
cnf(c_0_85,plain,
( incident(a2,b3b1)
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| b3b1 = a1a2
| a3a1 = b2b3
| b2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_65]),c_0_64])]) ).
cnf(c_0_86,plain,
incident(s,s1),
inference(split_conjunct,[status(thm)],[iss1]) ).
cnf(c_0_87,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s3)
| ~ incident(s,X2)
| X2 = s3
| X1 = s ),
inference(spm,[status(thm)],[c_0_61,c_0_80]) ).
cnf(c_0_88,plain,
incident(b2,s2),
inference(split_conjunct,[status(thm)],[ib2s2]) ).
cnf(c_0_89,plain,
incident(s,s2),
inference(split_conjunct,[status(thm)],[iss2]) ).
cnf(c_0_90,plain,
( ~ incident(b3,a3a1)
| b3 = a3
| s3 = a3a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_91,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| a3a1 = b2b3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_79]) ).
cnf(c_0_92,plain,
incident(b3,b2b3),
inference(split_conjunct,[status(thm)],[ib3b2]) ).
fof(c_0_93,plain,
( goal
| b3 != b1 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[diff_b3_b1])]) ).
cnf(c_0_94,plain,
incident(a2,s2),
inference(split_conjunct,[status(thm)],[ia2s2]) ).
cnf(c_0_95,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s1)
| ~ incident(s,X2)
| X2 = s1
| X1 = s ),
inference(spm,[status(thm)],[c_0_61,c_0_86]) ).
cnf(c_0_96,plain,
incident(a1,s1),
inference(split_conjunct,[status(thm)],[ia1s1]) ).
cnf(c_0_97,plain,
( ~ incident(b2,s3)
| s = b2
| s3 = 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_98,plain,
( s3 = b2b3
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
fof(c_0_99,plain,
( goal
| a2a3 != b2b3 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[not23])]) ).
fof(c_0_100,plain,
( goal
| a3a1 != b3b1 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[not31])]) ).
cnf(c_0_101,plain,
( b3 != b1
| goal ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_102,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s2)
| ~ incident(a2,X2)
| X2 = s2
| X1 = a2 ),
inference(spm,[status(thm)],[c_0_61,c_0_94]) ).
cnf(c_0_103,plain,
incident(p1,a2a3),
inference(split_conjunct,[status(thm)],[ip1a]) ).
cnf(c_0_104,plain,
incident(a2,a2a3),
inference(split_conjunct,[status(thm)],[ia2a3]) ).
cnf(c_0_105,plain,
( ~ incident(s,b2b3)
| s = a1
| s1 = b2b3
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_73]),c_0_96])]) ).
cnf(c_0_106,plain,
( s2 = b2b3
| s = b2
| b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_74])]) ).
cnf(c_0_107,plain,
( a2a3 != b2b3
| goal ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_108,plain,
( a3a1 != b3b1
| goal ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_109,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a3a1)
| ~ incident(a3,X2)
| X2 = a3a1
| X1 = a3 ),
inference(spm,[status(thm)],[c_0_61,c_0_82]) ).
cnf(c_0_110,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b3b1)
| ~ incident(b3,X2)
| X2 = b3b1
| X1 = b3 ),
inference(spm,[status(thm)],[c_0_61,c_0_69]) ).
cnf(c_0_111,plain,
incident(b1,s1),
inference(split_conjunct,[status(thm)],[ib1s1]) ).
cnf(c_0_112,plain,
incident(b1,b3b1),
inference(split_conjunct,[status(thm)],[ib1b3]) ).
cnf(c_0_113,plain,
b3 != b1,
inference(sr,[status(thm)],[c_0_101,c_0_53]) ).
cnf(c_0_114,plain,
( ~ incident(p1,s2)
| p1 = a2
| s2 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_115,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| s1 = b2b3
| b2 = a1
| b3 = a3
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_74])]) ).
cnf(c_0_116,plain,
incident(p1,b2b3),
inference(split_conjunct,[status(thm)],[ip1b]) ).
cnf(c_0_117,plain,
a2a3 != b2b3,
inference(sr,[status(thm)],[c_0_107,c_0_53]) ).
cnf(c_0_118,plain,
a3a1 != b3b1,
inference(sr,[status(thm)],[c_0_108,c_0_53]) ).
fof(c_0_119,plain,
( goal
| a2 != a3 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[diff_a2_a3])]) ).
cnf(c_0_120,plain,
( ~ incident(p1,a3a1)
| p1 = a3
| a3a1 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_103]),c_0_64])]) ).
cnf(c_0_121,plain,
( ~ incident(b3,s1)
| s1 = b3b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),c_0_113]) ).
cnf(c_0_122,plain,
( p1 = a2
| b3 = a3
| b2 = a1
| s1 = b2b3
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]),c_0_117]) ).
cnf(c_0_123,plain,
( b3b1 != b2b3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(spm,[status(thm)],[c_0_118,c_0_91]) ).
cnf(c_0_124,plain,
( a2 != a3
| goal ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_125,plain,
( ~ incident(X1,X2)
| ~ incident(X1,a3a1)
| ~ incident(a1,X2)
| X2 = a3a1
| X1 = a1 ),
inference(spm,[status(thm)],[c_0_61,c_0_75]) ).
cnf(c_0_126,plain,
incident(p2,b3b1),
inference(split_conjunct,[status(thm)],[ip2b]) ).
cnf(c_0_127,plain,
incident(p2,a3a1),
inference(split_conjunct,[status(thm)],[ip2a]) ).
cnf(c_0_128,plain,
( p1 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_91]),c_0_116])]),c_0_117]) ).
cnf(c_0_129,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| p1 = a2 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_92])]),c_0_123]) ).
cnf(c_0_130,plain,
a3 != a2,
inference(sr,[status(thm)],[c_0_124,c_0_53]) ).
cnf(c_0_131,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s1)
| ~ incident(b1,X2)
| X2 = s1
| X1 = b1 ),
inference(spm,[status(thm)],[c_0_61,c_0_111]) ).
cnf(c_0_132,plain,
( ~ incident(a1,b3b1)
| p2 = a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]),c_0_118]) ).
cnf(c_0_133,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_134,plain,
incident(a1,a1a2),
inference(split_conjunct,[status(thm)],[ia1a2]) ).
cnf(c_0_135,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b3b1)
| ~ incident(b1,X2)
| X2 = b3b1
| X1 = b1 ),
inference(spm,[status(thm)],[c_0_61,c_0_112]) ).
cnf(c_0_136,plain,
( ~ incident(p2,s1)
| p2 = b1
| s1 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_126]),c_0_112])]) ).
cnf(c_0_137,plain,
( p2 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).
fof(c_0_138,plain,
( goal
| b2 != b3 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[diff_b2_b3])]) ).
cnf(c_0_139,plain,
( ~ incident(a1,b3b1)
| b1 = a1
| s1 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_96]),c_0_111])]) ).
cnf(c_0_140,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s2)
| ~ incident(s,X2)
| X2 = s2
| X1 = s ),
inference(spm,[status(thm)],[c_0_61,c_0_89]) ).
cnf(c_0_141,plain,
( ~ incident(b3,s1)
| s = b3
| s3 = s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_76]),c_0_80])]) ).
cnf(c_0_142,plain,
( s1 = b3b1
| b1 = a1
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_96])]) ).
cnf(c_0_143,plain,
( b2 != b3
| goal ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_144,plain,
( ~ incident(a2,s1)
| s = a2
| s2 = s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_94]),c_0_89])]) ).
cnf(c_0_145,plain,
( s1 = a1a2
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_133]),c_0_134])]) ).
cnf(c_0_146,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s3)
| ~ incident(a3,X2)
| X2 = s3
| X1 = a3 ),
inference(spm,[status(thm)],[c_0_61,c_0_83]) ).
cnf(c_0_147,plain,
( ~ incident(s,b2b3)
| s = b2
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_74]),c_0_88])]) ).
cnf(c_0_148,plain,
( s3 = b3b1
| s = b3
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_69])]) ).
cnf(c_0_149,plain,
b3 != b2,
inference(sr,[status(thm)],[c_0_143,c_0_53]) ).
cnf(c_0_150,plain,
( ~ incident(s,a2a3)
| s = a3
| s3 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_64]),c_0_83])]) ).
cnf(c_0_151,plain,
( s2 = a1a2
| s = a2
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_70])]) ).
fof(c_0_152,plain,
( goal
| a1a2 != b1b2 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[not12])]) ).
cnf(c_0_153,plain,
( ~ incident(p2,s3)
| p2 = a3
| s3 = a3a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_127]),c_0_82])]) ).
cnf(c_0_154,plain,
( s2 = b2b3
| b1 = a1
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| s3 = b3b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_92])]),c_0_149]) ).
fof(c_0_155,plain,
( goal
| a3 != a1 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[diff_a3_a1])]) ).
cnf(c_0_156,plain,
( ~ incident(X1,X2)
| ~ incident(X1,s2)
| ~ incident(b2,X2)
| X2 = s2
| X1 = b2 ),
inference(spm,[status(thm)],[c_0_61,c_0_88]) ).
cnf(c_0_157,plain,
incident(p3,b1b2),
inference(split_conjunct,[status(thm)],[ip3b]) ).
cnf(c_0_158,plain,
incident(b2,b1b2),
inference(split_conjunct,[status(thm)],[ib2b1]) ).
cnf(c_0_159,plain,
( ~ incident(p1,s3)
| p1 = b3
| s3 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_116]),c_0_92])]) ).
cnf(c_0_160,plain,
( s3 = a2a3
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| s2 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_104])]),c_0_130]) ).
cnf(c_0_161,plain,
( a1a2 != b1b2
| goal ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_162,plain,
( p2 = a3
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| b1 = a1
| s2 = b2b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_126])]),c_0_118]) ).
cnf(c_0_163,plain,
( a3 != a1
| goal ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_164,plain,
( ~ incident(p3,s2)
| p3 = b2
| s2 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158])]) ).
cnf(c_0_165,plain,
( p1 = b3
| s2 = a1a2
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_103])]),c_0_117]) ).
cnf(c_0_166,plain,
incident(p3,a1a2),
inference(split_conjunct,[status(thm)],[ip3a]) ).
cnf(c_0_167,plain,
a1a2 != b1b2,
inference(sr,[status(thm)],[c_0_161,c_0_53]) ).
cnf(c_0_168,plain,
( p1 = a2
| b1 = a1
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| p2 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_162]),c_0_116])]),c_0_117]) ).
cnf(c_0_169,plain,
a3 != a1,
inference(sr,[status(thm)],[c_0_163,c_0_53]) ).
fof(c_0_170,plain,
( goal
| b1 != b2 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[diff_b1_b2])]) ).
cnf(c_0_171,plain,
( ~ incident(p3,b3b1)
| p3 = b1
| b3b1 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_157]),c_0_65])]) ).
cnf(c_0_172,plain,
( p3 = b2
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| p1 = b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]),c_0_167]) ).
cnf(c_0_173,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| p1 = a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_168]),c_0_169]) ).
cnf(c_0_174,plain,
( b1 != b2
| goal ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_175,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b2b3)
| ~ incident(b2,X2)
| X2 = b2b3
| X1 = b2 ),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
cnf(c_0_176,plain,
( p3 = b1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_133]),c_0_166])]),c_0_167]) ).
cnf(c_0_177,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| p3 = b2 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,plain,
b2 != b1,
inference(sr,[status(thm)],[c_0_174,c_0_53]) ).
cnf(c_0_179,plain,
( ~ incident(b2,a2a3)
| p1 = b2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_103]),c_0_116])]),c_0_117]) ).
cnf(c_0_180,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_181,plain,
( p1 = b2
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_158])]) ).
fof(c_0_182,plain,
! [X5] :
( goal
| ~ incident(p2,X5)
| ~ incident(p1,X5)
| ~ incident(p3,X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])])]) ).
cnf(c_0_183,plain,
( ~ incident(a3,s2)
| s = a3
| s3 = s2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_83]),c_0_80])]) ).
cnf(c_0_184,plain,
( s2 = a2a3
| b2 = a2
| b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_181]),c_0_88])]) ).
cnf(c_0_185,plain,
( ~ incident(p2,X1)
| ~ incident(p1,X1)
| ~ incident(p3,X1)
| goal ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_186,plain,
( ~ incident(s,a3a1)
| s = a1
| s1 = a3a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_75]),c_0_96])]) ).
cnf(c_0_187,plain,
( s3 = a2a3
| s = a3
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2
| b2 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_64])]) ).
cnf(c_0_188,plain,
( ~ incident(p2,X1)
| ~ incident(p1,X1)
| ~ incident(p3,X1) ),
inference(sr,[status(thm)],[c_0_185,c_0_53]) ).
cnf(c_0_189,plain,
( s1 = a3a1
| b2 = a2
| b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| s3 = a2a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_82])]),c_0_169]) ).
fof(c_0_190,plain,
! [X6,X7] :
( point(X6)
| ~ incident(X6,X7) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_point])])]) ).
cnf(c_0_191,plain,
( ~ incident(p2,b1b2)
| ~ incident(p1,b1b2) ),
inference(spm,[status(thm)],[c_0_188,c_0_157]) ).
cnf(c_0_192,plain,
( p1 = b3
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2
| b2 = a2
| s1 = a3a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_189]),c_0_103])]),c_0_117]) ).
fof(c_0_193,plain,
! [X26,X27] :
( ( ~ point(X27)
| ~ point(X26)
| incident(X27,esk1_2(X26,X27)) )
& ( ~ point(X27)
| ~ point(X26)
| incident(X26,esk1_2(X26,X27)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[join])])])])]) ).
cnf(c_0_194,plain,
( ~ incident(X1,X2)
| point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_195,plain,
( ~ incident(p2,b1b2)
| b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_181]),c_0_158])]) ).
cnf(c_0_196,plain,
( p2 = b1
| b2 = a2
| b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| p1 = b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_192]),c_0_127])]),c_0_118]) ).
cnf(c_0_197,plain,
( ~ point(X1)
| ~ point(X2)
| incident(X1,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_198,plain,
point(p3),
inference(spm,[status(thm)],[c_0_194,c_0_166]) ).
cnf(c_0_199,plain,
( b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2
| p1 = b3
| b2 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_65])]) ).
cnf(c_0_200,plain,
( ~ incident(p2,esk1_2(X1,p3))
| ~ incident(p1,esk1_2(X1,p3))
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_197]),c_0_198])]) ).
cnf(c_0_201,plain,
( ~ point(X2)
| ~ point(X1)
| incident(X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_202,plain,
point(p1),
inference(spm,[status(thm)],[c_0_194,c_0_116]) ).
cnf(c_0_203,plain,
( ~ incident(b3,a3a1)
| p2 = b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_127]),c_0_126])]),c_0_118]) ).
cnf(c_0_204,plain,
( b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| b2 = a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_199]),c_0_149]) ).
cnf(c_0_205,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b2b3)
| ~ incident(b3,X2)
| X2 = b2b3
| X1 = b3 ),
inference(spm,[status(thm)],[c_0_61,c_0_92]) ).
cnf(c_0_206,plain,
~ incident(p2,esk1_2(p1,p3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]),c_0_198])]) ).
cnf(c_0_207,plain,
( p2 = a3
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_82])]) ).
cnf(c_0_208,plain,
( ~ incident(b3,a2a3)
| p1 = b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_103]),c_0_116])]),c_0_117]) ).
cnf(c_0_209,plain,
( ~ incident(a3,esk1_2(p1,p3))
| b3 = a2
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_210,plain,
( p1 = a3
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_204]),c_0_64])]) ).
cnf(c_0_211,plain,
( ~ incident(a3,esk1_2(a3,p3))
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| b3 = a2 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_212,plain,
point(a3),
inference(spm,[status(thm)],[c_0_194,c_0_64]) ).
cnf(c_0_213,plain,
( ~ incident(b3,a2a3)
| b3 = a3
| s3 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_64]),c_0_83])]) ).
cnf(c_0_214,plain,
( b3 = a2
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_201]),c_0_198]),c_0_212])]) ).
fof(c_0_215,plain,
( goal
| a1 != a2 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[diff_a1_a2])]) ).
cnf(c_0_216,plain,
( ~ incident(a2,s3)
| s = a2
| s3 = s2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_94]),c_0_89])]) ).
cnf(c_0_217,plain,
( s3 = a2a3
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_104])]),c_0_130]) ).
cnf(c_0_218,plain,
( a1 != a2
| goal ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_219,plain,
( ~ incident(b3,s2)
| s2 = b2b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_88]),c_0_74])]),c_0_149]) ).
cnf(c_0_220,plain,
( ~ incident(s,a1a2)
| s = a1
| s1 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_134]),c_0_96])]) ).
cnf(c_0_221,plain,
( s2 = a2a3
| s = a2
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_104])]) ).
cnf(c_0_222,plain,
a2 != a1,
inference(sr,[status(thm)],[c_0_218,c_0_53]) ).
cnf(c_0_223,plain,
( ~ incident(p2,esk1_2(p3,X1))
| ~ incident(p1,esk1_2(p3,X1))
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_201]),c_0_198])]) ).
cnf(c_0_224,plain,
( s2 = b2b3
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_214]),c_0_94])]) ).
cnf(c_0_225,plain,
( s1 = a1a2
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| s2 = a2a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_70])]),c_0_222]) ).
cnf(c_0_226,plain,
( ~ incident(X1,b3b1)
| ~ incident(b3,esk1_2(X1,X2))
| ~ point(X2)
| X1 = b3
| esk1_2(X1,X2) = b3b1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_201]),c_0_194]) ).
cnf(c_0_227,plain,
~ incident(p2,esk1_2(p3,p1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_197]),c_0_202]),c_0_198])]) ).
cnf(c_0_228,plain,
( p1 = b3
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_217]),c_0_103])]),c_0_117]) ).
cnf(c_0_229,plain,
( ~ incident(p3,s1)
| p3 = b1
| s1 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_157]),c_0_65])]) ).
cnf(c_0_230,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| s1 = a1a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_117]) ).
cnf(c_0_231,plain,
( ~ incident(b3,esk1_2(b1,X1))
| ~ point(X1)
| esk1_2(b1,X1) = b3b1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_112]),c_0_113]) ).
cnf(c_0_232,plain,
point(b3),
inference(spm,[status(thm)],[c_0_194,c_0_92]) ).
cnf(c_0_233,plain,
point(b1),
inference(spm,[status(thm)],[c_0_194,c_0_112]) ).
cnf(c_0_234,plain,
( ~ incident(b2,a1a2)
| incident(a1,b2b3)
| b2b3 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_74]),c_0_92])]),c_0_149]) ).
cnf(c_0_235,plain,
( ~ incident(p2,esk1_2(p3,b3))
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_236,plain,
( p3 = b1
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_166])]),c_0_167]) ).
cnf(c_0_237,plain,
esk1_2(b1,b3) = b3b1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_197]),c_0_232]),c_0_233])]) ).
cnf(c_0_238,plain,
( ~ incident(b2,a1a2)
| b2 = a1
| b2b3 = a1a2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_134]),c_0_234]) ).
cnf(c_0_239,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_126])]) ).
fof(c_0_240,plain,
! [X29,X30] :
( ( ~ line(X30)
| ~ line(X29)
| incident(esk2_2(X29,X30),X30) )
& ( ~ line(X30)
| ~ line(X29)
| incident(esk2_2(X29,X30),X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meet])])])])]) ).
fof(c_0_241,plain,
! [X8,X9] :
( line(X9)
| ~ incident(X8,X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_line])])]) ).
cnf(c_0_242,plain,
( ~ incident(p3,b2b3)
| p3 = b2
| b2b3 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_157]),c_0_158])]) ).
cnf(c_0_243,plain,
( b2b3 = a1a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_70])]),c_0_222]) ).
cnf(c_0_244,plain,
( ~ line(X2)
| ~ line(X1)
| incident(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_245,plain,
( ~ incident(X1,X2)
| line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_246,plain,
( p3 = b2
| b1 = a3
| b2 = a1
| b1 = a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_166])]),c_0_167]) ).
cnf(c_0_247,plain,
( ~ incident(X1,X4)
| ~ incident(X1,X3)
| ~ incident(esk2_2(X2,X3),X4)
| ~ line(X2)
| X4 = X3
| X1 = esk2_2(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_244]),c_0_245]) ).
cnf(c_0_248,plain,
( ~ incident(p2,X1)
| ~ incident(p1,X1)
| ~ incident(b2,X1)
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(spm,[status(thm)],[c_0_188,c_0_246]) ).
cnf(c_0_249,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b1b2)
| ~ incident(b2,X2)
| X2 = b1b2
| X1 = b2 ),
inference(spm,[status(thm)],[c_0_61,c_0_158]) ).
cnf(c_0_250,plain,
( ~ incident(p1,X2)
| ~ incident(esk2_2(X1,a2a3),X2)
| ~ line(X1)
| X2 = a2a3
| esk2_2(X1,a2a3) = p1 ),
inference(spm,[status(thm)],[c_0_247,c_0_103]) ).
cnf(c_0_251,plain,
( ~ incident(p1,a3a1)
| incident(a3,b1b2)
| b1 = a3
| b2 = a1
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_57]),c_0_127])]) ).
cnf(c_0_252,plain,
( p1 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_239]),c_0_104])]) ).
cnf(c_0_253,plain,
( ~ incident(a3,b1b2)
| ~ incident(b2,a2a3)
| b2 = a3
| a2a3 = b1b2 ),
inference(spm,[status(thm)],[c_0_249,c_0_64]) ).
cnf(c_0_254,plain,
( ~ incident(b2,a2a3)
| incident(a3,b1b2)
| b2 = a3
| a3a1 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_64]),c_0_82])]) ).
cnf(c_0_255,plain,
( ~ incident(esk2_2(X1,a2a3),b2b3)
| ~ line(X1)
| esk2_2(X1,a2a3) = p1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_116]),c_0_117]) ).
cnf(c_0_256,plain,
( ~ line(X2)
| ~ line(X1)
| incident(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_257,plain,
line(b2b3),
inference(spm,[status(thm)],[c_0_245,c_0_116]) ).
cnf(c_0_258,plain,
line(a2a3),
inference(spm,[status(thm)],[c_0_245,c_0_103]) ).
cnf(c_0_259,plain,
( ~ incident(a3,b1b2)
| ~ incident(b2,a3a1)
| b2 = a3
| a3a1 = b1b2 ),
inference(spm,[status(thm)],[c_0_249,c_0_82]) ).
cnf(c_0_260,plain,
( ~ incident(a2,a3a1)
| incident(a3,b1b2)
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_261,plain,
( ~ incident(a3,b1b2)
| a2a3 = b1b2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_239]),c_0_104])]),c_0_130]) ).
cnf(c_0_262,plain,
( incident(a3,b1b2)
| a3a1 = a2a3
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_239]),c_0_104])]),c_0_130]) ).
cnf(c_0_263,plain,
( ~ incident(p3,X2)
| ~ incident(esk2_2(X1,b1b2),X2)
| ~ line(X1)
| X2 = b1b2
| esk2_2(X1,b1b2) = p3 ),
inference(spm,[status(thm)],[c_0_247,c_0_157]) ).
cnf(c_0_264,plain,
esk2_2(b2b3,a2a3) = p1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]),c_0_258])]) ).
cnf(c_0_265,plain,
( ~ incident(a2,a3a1)
| a3a1 = b1b2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_239]),c_0_130]),c_0_260]) ).
cnf(c_0_266,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| a2a3 = b1b2
| a3a1 = a2a3 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_267,plain,
( ~ incident(esk2_2(X1,b1b2),a1a2)
| ~ line(X1)
| esk2_2(X1,b1b2) = p3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_166]),c_0_167]) ).
cnf(c_0_268,plain,
line(a1a2),
inference(spm,[status(thm)],[c_0_245,c_0_166]) ).
cnf(c_0_269,plain,
line(b1b2),
inference(spm,[status(thm)],[c_0_245,c_0_157]) ).
cnf(c_0_270,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| esk2_2(a1a2,a2a3) = p1 ),
inference(spm,[status(thm)],[c_0_264,c_0_243]) ).
cnf(c_0_271,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| a2a3 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_104])]) ).
cnf(c_0_272,plain,
esk2_2(a1a2,b1b2) = p3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_256]),c_0_268]),c_0_269])]) ).
cnf(c_0_273,plain,
( p1 = p3
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).
cnf(c_0_274,plain,
( ~ incident(p2,esk1_2(X1,p3))
| ~ incident(p3,esk1_2(X1,p3))
| ~ point(X1)
| b1 = a3
| b2 = a1
| b1 = a1 ),
inference(spm,[status(thm)],[c_0_200,c_0_273]) ).
cnf(c_0_275,plain,
( ~ incident(p2,esk1_2(X1,p3))
| ~ point(X1)
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_197]),c_0_198])]) ).
cnf(c_0_276,plain,
point(p2),
inference(spm,[status(thm)],[c_0_194,c_0_126]) ).
cnf(c_0_277,plain,
( ~ incident(b2,a1a2)
| b2 = a2
| s2 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_70]),c_0_94])]) ).
cnf(c_0_278,plain,
( b1 = a3
| b2 = a1
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_201]),c_0_276]),c_0_198])]) ).
cnf(c_0_279,plain,
( ~ incident(a1,s2)
| s = a1
| s2 = s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_96]),c_0_86])]) ).
cnf(c_0_280,plain,
( s2 = a1a2
| b1 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_134])]),c_0_222]) ).
cnf(c_0_281,plain,
( ~ incident(b2,s3)
| s3 = b2b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_74]),c_0_92])]),c_0_149]) ).
cnf(c_0_282,plain,
( ~ incident(s,a3a1)
| s = a3
| s3 = a3a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_82]),c_0_83])]) ).
cnf(c_0_283,plain,
( s1 = a1a2
| s = a1
| b1 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_134])]) ).
cnf(c_0_284,plain,
( ~ incident(b2,s1)
| s1 = b1b2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_111]),c_0_65])]),c_0_178]) ).
cnf(c_0_285,plain,
( ~ incident(a1,s3)
| s3 = b2b3
| b1 = a1
| b1 = a3 ),
inference(spm,[status(thm)],[c_0_281,c_0_278]) ).
cnf(c_0_286,plain,
( s3 = a3a1
| b1 = a1
| b1 = a3
| s1 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_75])]),c_0_169]) ).
cnf(c_0_287,plain,
( ~ incident(b2,a1a2)
| p3 = b2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_166]),c_0_157])]),c_0_167]) ).
cnf(c_0_288,plain,
( s1 = b1b2
| b1 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_278]),c_0_96])]) ).
cnf(c_0_289,plain,
( b1 = a3
| b1 = a1
| a3a1 = b2b3
| s1 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_75])]) ).
cnf(c_0_290,plain,
( ~ incident(X2,a3a1)
| ~ incident(a3,esk1_2(X1,X2))
| ~ point(X1)
| X2 = a3
| esk1_2(X1,X2) = a3a1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_197]),c_0_194]) ).
cnf(c_0_291,plain,
( p3 = a1
| b1 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_278]),c_0_134])]) ).
cnf(c_0_292,plain,
( b1 = a3
| b1 = a1
| a3a1 = b2b3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_167]) ).
cnf(c_0_293,plain,
( ~ incident(a3,esk1_2(X1,a1))
| ~ point(X1)
| esk1_2(X1,a1) = a3a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_75]),c_0_169]) ).
cnf(c_0_294,plain,
point(a1),
inference(spm,[status(thm)],[c_0_194,c_0_75]) ).
cnf(c_0_295,plain,
( ~ incident(p2,esk1_2(p1,a1))
| b1 = a3
| b1 = a1 ),
inference(spm,[status(thm)],[c_0_206,c_0_291]) ).
cnf(c_0_296,plain,
( p1 = a3
| b1 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_292]),c_0_116])]),c_0_117]) ).
cnf(c_0_297,plain,
esk1_2(a3,a1) = a3a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_201]),c_0_212]),c_0_294])]) ).
cnf(c_0_298,plain,
( ~ incident(b1,a3a1)
| b1 = a1
| s1 = a3a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_75]),c_0_96])]) ).
cnf(c_0_299,plain,
( b1 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]),c_0_127])]) ).
cnf(c_0_300,plain,
( ~ incident(a3,s1)
| s = a3
| s3 = s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_83]),c_0_80])]) ).
cnf(c_0_301,plain,
( s1 = a3a1
| b1 = a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_82])]),c_0_169]) ).
cnf(c_0_302,plain,
( ~ incident(b1,s3)
| s3 = b3b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_112]),c_0_69])]),c_0_113]) ).
cnf(c_0_303,plain,
( ~ incident(s,a2a3)
| s = a2
| s2 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_104]),c_0_94])]) ).
cnf(c_0_304,plain,
( s3 = a3a1
| s = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_82])]) ).
cnf(c_0_305,plain,
( s3 = b3b1
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_299]),c_0_83])]) ).
cnf(c_0_306,plain,
( s2 = a2a3
| b1 = a1
| s3 = a3a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_64])]),c_0_130]) ).
cnf(c_0_307,plain,
( ~ incident(p1,s2)
| p1 = b2
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_116]),c_0_74])]) ).
cnf(c_0_308,plain,
( b1 = a1
| s2 = a2a3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_118]) ).
cnf(c_0_309,plain,
( p1 = b2
| b1 = a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_103])]),c_0_117]) ).
cnf(c_0_310,plain,
( ~ incident(p2,b1b2)
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_309]),c_0_158])]) ).
cnf(c_0_311,plain,
( p2 = b1
| b1 = a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_301]),c_0_127])]),c_0_118]) ).
cnf(c_0_312,plain,
( ~ incident(X1,X2)
| ~ incident(X1,b1b2)
| ~ incident(b1,X2)
| X2 = b1b2
| X1 = b1 ),
inference(spm,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_313,plain,
( ~ incident(b1,a3a1)
| p2 = b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_127]),c_0_126])]),c_0_118]) ).
cnf(c_0_314,plain,
b1 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_65])]) ).
cnf(c_0_315,plain,
( ~ incident(b1,a1a2)
| p3 = b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_166]),c_0_157])]),c_0_167]) ).
cnf(c_0_316,plain,
p2 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_314]),c_0_314]),c_0_75])]) ).
cnf(c_0_317,plain,
p3 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_314]),c_0_314]),c_0_134])]) ).
cnf(c_0_318,plain,
~ incident(a1,esk1_2(a1,p1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_316]),c_0_317]) ).
cnf(c_0_319,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_201]),c_0_202]),c_0_294])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO169+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n011.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 12:52:12 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.25/2.85 % Version: 3.5.1
% 11.25/2.85 % Preprocessing class: FSMSSMSMSSSNFFN.
% 11.25/2.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.25/2.85 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 11.25/2.85 % Starting new_bool_3 with 300s (1) cores
% 11.25/2.85 % Starting new_bool_1 with 300s (1) cores
% 11.25/2.85 % Starting sh5l with 300s (1) cores
% 11.25/2.85 % new_bool_3 with pid 3659436 completed with status 9
% 11.25/2.85 % new_bool_1 with pid 3659437 completed with status 9
% 11.25/2.85 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3659435 completed with status 0
% 11.25/2.85 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 11.25/2.85 % Preprocessing class: FSMSSMSMSSSNFFN.
% 11.25/2.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.25/2.85 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 11.25/2.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.25/2.85 % No SInE strategy applied
% 11.25/2.85 % Search class: FGUSF-FFMM22-SFFFFFNN
% 11.25/2.85 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.25/2.85 % Starting SubtermCWHack with 136s (1) cores
% 11.25/2.85 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 11.25/2.85 % Starting G-E--_107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 11.25/2.85 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.25/2.85 % Starting new_bool_3 with 136s (1) cores
% 11.25/2.85 % new_bool_3 with pid 3659448 completed with status 0
% 11.25/2.85 % Result found by new_bool_3
% 11.25/2.85 % Preprocessing class: FSMSSMSMSSSNFFN.
% 11.25/2.85 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.25/2.85 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 11.25/2.85 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 11.25/2.85 % No SInE strategy applied
% 11.25/2.85 % Search class: FGUSF-FFMM22-SFFFFFNN
% 11.25/2.85 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 11.25/2.85 % Starting SubtermCWHack with 136s (1) cores
% 11.25/2.85 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 11.25/2.85 % Starting G-E--_107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 11.25/2.85 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 11.25/2.85 % Starting new_bool_3 with 136s (1) cores
% 11.25/2.85 % Preprocessing time : 0.002 s
% 11.25/2.85 % Presaturation interreduction done
% 11.25/2.85
% 11.25/2.85 % Proof found!
% 11.25/2.85 % SZS status Theorem
% 11.25/2.85 % SZS output start CNFRefutation
% See solution above
% 11.25/2.86 % Parsed axioms : 53
% 11.25/2.86 % Removed by relevancy pruning/SinE : 0
% 11.25/2.86 % Initial clauses : 55
% 11.25/2.86 % Removed in clause preprocessing : 5
% 11.25/2.86 % Initial clauses in saturation : 50
% 11.25/2.86 % Processed clauses : 8568
% 11.25/2.86 % ...of these trivial : 31
% 11.25/2.86 % ...subsumed : 5927
% 11.25/2.86 % ...remaining for further processing : 2610
% 11.25/2.86 % Other redundant clauses eliminated : 0
% 11.25/2.86 % Clauses deleted for lack of memory : 0
% 11.25/2.86 % Backward-subsumed : 653
% 11.25/2.86 % Backward-rewritten : 1110
% 11.25/2.86 % Generated clauses : 38859
% 11.25/2.86 % ...of the previous two non-redundant : 37705
% 11.25/2.86 % ...aggressively subsumed : 0
% 11.25/2.86 % Contextual simplify-reflections : 222
% 11.25/2.86 % Paramodulations : 38833
% 11.25/2.86 % Factorizations : 24
% 11.25/2.86 % NegExts : 0
% 11.25/2.86 % Equation resolutions : 0
% 11.25/2.86 % Disequality decompositions : 0
% 11.25/2.86 % Total rewrite steps : 27483
% 11.25/2.86 % ...of those cached : 27412
% 11.25/2.86 % Propositional unsat checks : 0
% 11.25/2.86 % Propositional check models : 0
% 11.25/2.86 % Propositional check unsatisfiable : 0
% 11.25/2.86 % Propositional clauses : 0
% 11.25/2.86 % Propositional clauses after purity: 0
% 11.25/2.86 % Propositional unsat core size : 0
% 11.25/2.86 % Propositional preprocessing time : 0.000
% 11.25/2.86 % Propositional encoding time : 0.000
% 11.25/2.86 % Propositional solver time : 0.000
% 11.25/2.86 % Success case prop preproc time : 0.000
% 11.25/2.86 % Success case prop encoding time : 0.000
% 11.25/2.86 % Success case prop solver time : 0.000
% 11.25/2.86 % Current number of processed clauses : 795
% 11.25/2.86 % Positive orientable unit clauses : 49
% 11.25/2.86 % Positive unorientable unit clauses: 0
% 11.25/2.86 % Negative unit clauses : 18
% 11.25/2.86 % Non-unit-clauses : 728
% 11.25/2.86 % Current number of unprocessed clauses: 28502
% 11.25/2.86 % ...number of literals in the above : 211860
% 11.25/2.86 % Current number of archived formulas : 0
% 11.25/2.86 % Current number of archived clauses : 1815
% 11.25/2.86 % Clause-clause subsumption calls (NU) : 426916
% 11.25/2.86 % Rec. Clause-clause subsumption calls : 63834
% 11.25/2.86 % Non-unit clause-clause subsumptions : 6729
% 11.25/2.86 % Unit Clause-clause subsumption calls : 8230
% 11.25/2.86 % Rewrite failures with RHS unbound : 0
% 11.25/2.86 % BW rewrite match attempts : 13
% 11.25/2.86 % BW rewrite match successes : 13
% 11.25/2.86 % Condensation attempts : 0
% 11.25/2.86 % Condensation successes : 0
% 11.25/2.86 % Termbank termtop insertions : 636204
% 11.25/2.86 % Search garbage collected termcells : 254
% 11.25/2.86
% 11.25/2.86 % -------------------------------------------------
% 11.25/2.86 % User time : 2.171 s
% 11.25/2.86 % System time : 0.044 s
% 11.25/2.86 % Total time : 2.215 s
% 11.25/2.86 % Maximum resident set size: 3664 pages
% 11.25/2.86
% 11.25/2.86 % -------------------------------------------------
% 11.25/2.86 % User time : 10.942 s
% 11.25/2.86 % System time : 0.427 s
% 11.25/2.86 % Total time : 11.369 s
% 11.25/2.86 % Maximum resident set size: 4608 pages
% 11.25/2.86 % E exiting
%------------------------------------------------------------------------------