TSTP Solution File: GEO169+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:46:37 EDT 2023
% Result : Theorem 1.21s 1.32s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 73
% Syntax : Number of formulae : 338 ( 88 unt; 25 typ; 0 def)
% Number of atoms : 998 ( 608 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 932 ( 247 ~; 653 |; 15 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% 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 : 108 ( 2 sgn; 26 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p3: $i ).
tff(decl_23,type,
incident: ( $i * $i ) > $o ).
tff(decl_24,type,
p1: $i ).
tff(decl_25,type,
p2: $i ).
tff(decl_26,type,
goal: $o ).
tff(decl_27,type,
a1: $i ).
tff(decl_28,type,
b2b3: $i ).
tff(decl_29,type,
a2: $i ).
tff(decl_30,type,
b3b1: $i ).
tff(decl_31,type,
a3: $i ).
tff(decl_32,type,
b1b2: $i ).
tff(decl_33,type,
b1: $i ).
tff(decl_34,type,
a2a3: $i ).
tff(decl_35,type,
b2: $i ).
tff(decl_36,type,
a3a1: $i ).
tff(decl_37,type,
b3: $i ).
tff(decl_38,type,
a1a2: $i ).
tff(decl_39,type,
s: $i ).
tff(decl_40,type,
s1: $i ).
tff(decl_41,type,
s2: $i ).
tff(decl_42,type,
s3: $i ).
tff(decl_43,type,
point: $i > $o ).
tff(decl_44,type,
line: $i > $o ).
tff(decl_45,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk2_2: ( $i * $i ) > $i ).
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(gap2,axiom,
( incident(a2,b3b1)
| incident(b1,a2a3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap2) ).
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(gap1,axiom,
( incident(a1,b2b3)
| incident(b3,a1a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gap1) ).
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(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(ib3b1,axiom,
incident(b3,b3b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3b1) ).
fof(ia2a1,axiom,
incident(a2,a1a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2a1) ).
fof(ib2b3,axiom,
incident(b2,b2b3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2b3) ).
fof(ia1a3,axiom,
incident(a1,a3a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1a3) ).
fof(ib3s3,axiom,
incident(b3,s3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3s3) ).
fof(iss3,axiom,
incident(s,s3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss3) ).
fof(ia3a1,axiom,
incident(a3,a3a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3a1) ).
fof(ia3s3,axiom,
incident(a3,s3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia3s3) ).
fof(iss1,axiom,
incident(s,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss1) ).
fof(ib2s2,axiom,
incident(b2,s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2s2) ).
fof(iss2,axiom,
incident(s,s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',iss2) ).
fof(ib3b2,axiom,
incident(b3,b2b3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib3b2) ).
fof(diff_b3_b1,axiom,
( b3 = b1
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b3_b1) ).
fof(ia2s2,axiom,
incident(a2,s2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2s2) ).
fof(ia1s1,axiom,
incident(a1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia1s1) ).
fof(not23,axiom,
( a2a3 = b2b3
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not23) ).
fof(not31,axiom,
( a3a1 = b3b1
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not31) ).
fof(ip1a,axiom,
incident(p1,a2a3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip1a) ).
fof(ia2a3,axiom,
incident(a2,a2a3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ia2a3) ).
fof(ib1s1,axiom,
incident(b1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1s1) ).
fof(ib1b3,axiom,
incident(b1,b3b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib1b3) ).
fof(ip1b,axiom,
incident(p1,b2b3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip1b) ).
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(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_b2_b3,axiom,
( b2 = b3
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b2_b3) ).
fof(not12,axiom,
( a1a2 = b1b2
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not12) ).
fof(diff_a3_a1,axiom,
( a3 = a1
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a3_a1) ).
fof(ip3b,axiom,
incident(p3,b1b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip3b) ).
fof(ib2b1,axiom,
incident(b2,b1b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ib2b1) ).
fof(ip3a,axiom,
incident(p3,a1a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ip3a) ).
fof(diff_b1_b2,axiom,
( b1 = b2
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_b1_b2) ).
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(sort_point,axiom,
! [X1,X2] :
( incident(X1,X2)
=> point(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sort_point) ).
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(diff_a1_a2,axiom,
( a1 = a2
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_a1_a2) ).
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(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(a2,b3b1)
| incident(b1,a2a3) ),
inference(split_conjunct,[status(thm)],[gap2]) ).
cnf(c_0_54,plain,
( incident(a2,b3b1)
| ~ incident(b2,a3a1)
| ~ incident(b3,a1a2) ),
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,
! [X22,X23,X24,X25] :
( ~ incident(X22,X24)
| ~ incident(X22,X25)
| ~ incident(X23,X24)
| ~ incident(X23,X25)
| X22 = X23
| X24 = X25 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique])]) ).
cnf(c_0_57,plain,
( incident(a3,b1b2)
| incident(a2,b3b1)
| ~ incident(b3,a1a2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( incident(a1,b2b3)
| incident(b3,a1a2) ),
inference(split_conjunct,[status(thm)],[gap1]) ).
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(a1,b2b3)
| incident(a2,b3b1)
| incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( X1 = a3
| X2 = b1b2
| incident(a2,b3b1)
| incident(a1,b2b3)
| ~ 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,
incident(b1,b1b2),
inference(split_conjunct,[status(thm)],[ib1b2]) ).
fof(c_0_64,plain,
( ~ incident(a1,b2b3)
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2)
| goal ),
inference(fof_nnf,[status(thm)],[t_a_in_b]) ).
cnf(c_0_65,plain,
( X1 = b3
| X2 = a1a2
| incident(a1,b2b3)
| ~ incident(b3,X2)
| ~ incident(X1,a1a2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_58]) ).
cnf(c_0_66,plain,
( a2a3 = b1b2
| b1 = a3
| incident(a1,b2b3)
| incident(a2,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_53]),c_0_62]),c_0_63])]) ).
cnf(c_0_67,plain,
incident(b3,b3b1),
inference(split_conjunct,[status(thm)],[ib3b1]) ).
cnf(c_0_68,plain,
incident(a2,a1a2),
inference(split_conjunct,[status(thm)],[ia2a1]) ).
cnf(c_0_69,plain,
( goal
| ~ incident(a1,b2b3)
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,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_71,plain,
( b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2
| incident(a1,b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68])]) ).
cnf(c_0_72,plain,
incident(b2,b2b3),
inference(split_conjunct,[status(thm)],[ib2b3]) ).
cnf(c_0_73,plain,
incident(a1,a3a1),
inference(split_conjunct,[status(thm)],[ia1a3]) ).
cnf(c_0_74,plain,
incident(b3,s3),
inference(split_conjunct,[status(thm)],[ib3s3]) ).
cnf(c_0_75,plain,
( ~ incident(a1,b2b3)
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2) ),
inference(sr,[status(thm)],[c_0_69,c_0_51]) ).
cnf(c_0_76,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_53]) ).
cnf(c_0_77,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| a3a1 = b2b3
| b2 = a1
| incident(a3,b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_78,plain,
incident(s,s3),
inference(split_conjunct,[status(thm)],[iss3]) ).
cnf(c_0_79,plain,
( X1 = b3
| X2 = s3
| ~ incident(b3,X2)
| ~ incident(X1,s3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_80,plain,
incident(a3,a3a1),
inference(split_conjunct,[status(thm)],[ia3a1]) ).
cnf(c_0_81,plain,
incident(a3,s3),
inference(split_conjunct,[status(thm)],[ia3s3]) ).
cnf(c_0_82,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| ~ incident(a2,b3b1)
| ~ incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_75,c_0_71]) ).
cnf(c_0_83,plain,
( b2 = a1
| a3a1 = b2b3
| b3b1 = a1a2
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| incident(a2,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_63]),c_0_62])]) ).
cnf(c_0_84,plain,
incident(s,s1),
inference(split_conjunct,[status(thm)],[iss1]) ).
cnf(c_0_85,plain,
( X1 = s
| X2 = s3
| ~ incident(s,X2)
| ~ incident(X1,s3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_78]) ).
cnf(c_0_86,plain,
incident(b2,s2),
inference(split_conjunct,[status(thm)],[ib2s2]) ).
cnf(c_0_87,plain,
incident(s,s2),
inference(split_conjunct,[status(thm)],[iss2]) ).
cnf(c_0_88,plain,
( s3 = a3a1
| b3 = a3
| ~ incident(b3,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_89,plain,
( a3a1 = b2b3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_77]) ).
cnf(c_0_90,plain,
incident(b3,b2b3),
inference(split_conjunct,[status(thm)],[ib3b2]) ).
fof(c_0_91,plain,
( b3 != b1
| goal ),
inference(fof_nnf,[status(thm)],[diff_b3_b1]) ).
cnf(c_0_92,plain,
incident(a2,s2),
inference(split_conjunct,[status(thm)],[ia2s2]) ).
cnf(c_0_93,plain,
( X1 = s
| X2 = s1
| ~ incident(s,X2)
| ~ incident(X1,s1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_84]) ).
cnf(c_0_94,plain,
incident(a1,s1),
inference(split_conjunct,[status(thm)],[ia1s1]) ).
cnf(c_0_95,plain,
( s3 = s2
| s = b2
| ~ incident(b2,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_96,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| s3 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
fof(c_0_97,plain,
( a2a3 != b2b3
| goal ),
inference(fof_nnf,[status(thm)],[not23]) ).
fof(c_0_98,plain,
( a3a1 != b3b1
| goal ),
inference(fof_nnf,[status(thm)],[not31]) ).
cnf(c_0_99,plain,
( goal
| b3 != b1 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
( X1 = a2
| X2 = s2
| ~ incident(a2,X2)
| ~ incident(X1,s2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_92]) ).
cnf(c_0_101,plain,
incident(p1,a2a3),
inference(split_conjunct,[status(thm)],[ip1a]) ).
cnf(c_0_102,plain,
incident(a2,a2a3),
inference(split_conjunct,[status(thm)],[ia2a3]) ).
cnf(c_0_103,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| s1 = b2b3
| s = a1
| ~ incident(s,b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_71]),c_0_94])]) ).
cnf(c_0_104,plain,
( b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2
| s = b2
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_72])]) ).
cnf(c_0_105,plain,
( goal
| a2a3 != b2b3 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,plain,
( goal
| a3a1 != b3b1 ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,plain,
( X1 = a3
| X2 = a3a1
| ~ incident(a3,X2)
| ~ incident(X1,a3a1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
cnf(c_0_108,plain,
( X1 = b3
| X2 = b3b1
| ~ incident(b3,X2)
| ~ incident(X1,b3b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_67]) ).
cnf(c_0_109,plain,
incident(b1,s1),
inference(split_conjunct,[status(thm)],[ib1s1]) ).
cnf(c_0_110,plain,
incident(b1,b3b1),
inference(split_conjunct,[status(thm)],[ib1b3]) ).
cnf(c_0_111,plain,
b3 != b1,
inference(sr,[status(thm)],[c_0_99,c_0_51]) ).
cnf(c_0_112,plain,
( s2 = a2a3
| p1 = a2
| ~ incident(p1,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
cnf(c_0_113,plain,
( s2 = b2b3
| b3 = a3
| b2 = 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_103,c_0_104]),c_0_72])]) ).
cnf(c_0_114,plain,
incident(p1,b2b3),
inference(split_conjunct,[status(thm)],[ip1b]) ).
cnf(c_0_115,plain,
a2a3 != b2b3,
inference(sr,[status(thm)],[c_0_105,c_0_51]) ).
cnf(c_0_116,plain,
a3a1 != b3b1,
inference(sr,[status(thm)],[c_0_106,c_0_51]) ).
fof(c_0_117,plain,
( a2 != a3
| goal ),
inference(fof_nnf,[status(thm)],[diff_a2_a3]) ).
cnf(c_0_118,plain,
( a3a1 = a2a3
| p1 = a3
| ~ incident(p1,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_101]),c_0_62])]) ).
cnf(c_0_119,plain,
( s1 = b3b1
| ~ incident(b3,s1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_120,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| s1 = b2b3
| b2 = a1
| b3 = a3
| p1 = a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114])]),c_0_115]) ).
cnf(c_0_121,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3b1 != b2b3 ),
inference(spm,[status(thm)],[c_0_116,c_0_89]) ).
cnf(c_0_122,plain,
( goal
| a2 != a3 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_123,plain,
( X1 = a1
| X2 = a3a1
| ~ incident(a1,X2)
| ~ incident(X1,a3a1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_73]) ).
cnf(c_0_124,plain,
incident(p2,b3b1),
inference(split_conjunct,[status(thm)],[ip2b]) ).
cnf(c_0_125,plain,
incident(p2,a3a1),
inference(split_conjunct,[status(thm)],[ip2a]) ).
cnf(c_0_126,plain,
( b3 = a2
| b3b1 = a1a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| p1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_89]),c_0_114])]),c_0_115]) ).
cnf(c_0_127,plain,
( p1 = a2
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_90])]),c_0_121]) ).
cnf(c_0_128,plain,
a3 != a2,
inference(sr,[status(thm)],[c_0_122,c_0_51]) ).
cnf(c_0_129,plain,
( X1 = b1
| X2 = s1
| ~ incident(b1,X2)
| ~ incident(X1,s1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_109]) ).
cnf(c_0_130,plain,
( p2 = a1
| ~ incident(a1,b3b1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]),c_0_116]) ).
cnf(c_0_131,plain,
( b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3b1 = a1a2
| b3 = a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_132,plain,
incident(a1,a1a2),
inference(split_conjunct,[status(thm)],[ia1a2]) ).
cnf(c_0_133,plain,
( X1 = b1
| X2 = b3b1
| ~ incident(b1,X2)
| ~ incident(X1,b3b1)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_110]) ).
cnf(c_0_134,plain,
( s1 = b3b1
| p2 = b1
| ~ incident(p2,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_124]),c_0_110])]) ).
cnf(c_0_135,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| p2 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).
fof(c_0_136,plain,
( b2 != b3
| goal ),
inference(fof_nnf,[status(thm)],[diff_b2_b3]) ).
cnf(c_0_137,plain,
( s1 = b3b1
| b1 = a1
| ~ incident(a1,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_94]),c_0_109])]) ).
cnf(c_0_138,plain,
( X1 = s
| X2 = s2
| ~ incident(s,X2)
| ~ incident(X1,s2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_87]) ).
cnf(c_0_139,plain,
( s3 = s1
| s = b3
| ~ incident(b3,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_74]),c_0_78])]) ).
cnf(c_0_140,plain,
( b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| b1 = a1
| s1 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_94])]) ).
cnf(c_0_141,plain,
( goal
| b2 != b3 ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_142,plain,
( s2 = s1
| s = a2
| ~ incident(a2,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_92]),c_0_87])]) ).
cnf(c_0_143,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| s1 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_131]),c_0_132])]) ).
cnf(c_0_144,plain,
( X1 = a3
| X2 = s3
| ~ incident(a3,X2)
| ~ incident(X1,s3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_81]) ).
cnf(c_0_145,plain,
( s2 = b2b3
| s = b2
| ~ incident(s,b2b3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_72]),c_0_86])]) ).
cnf(c_0_146,plain,
( b1 = a1
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| s = b3
| s3 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_67])]) ).
cnf(c_0_147,plain,
b3 != b2,
inference(sr,[status(thm)],[c_0_141,c_0_51]) ).
cnf(c_0_148,plain,
( s3 = a2a3
| s = a3
| ~ incident(s,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_62]),c_0_81])]) ).
cnf(c_0_149,plain,
( b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| s = a2
| s2 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_68])]) ).
fof(c_0_150,plain,
( a1a2 != b1b2
| goal ),
inference(fof_nnf,[status(thm)],[not12]) ).
cnf(c_0_151,plain,
( s3 = a3a1
| p2 = a3
| ~ incident(p2,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_125]),c_0_80])]) ).
cnf(c_0_152,plain,
( s3 = b3b1
| 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_145,c_0_146]),c_0_90])]),c_0_147]) ).
fof(c_0_153,plain,
( a3 != a1
| goal ),
inference(fof_nnf,[status(thm)],[diff_a3_a1]) ).
cnf(c_0_154,plain,
( X1 = b2
| X2 = s2
| ~ incident(b2,X2)
| ~ incident(X1,s2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_86]) ).
cnf(c_0_155,plain,
incident(p3,b1b2),
inference(split_conjunct,[status(thm)],[ip3b]) ).
cnf(c_0_156,plain,
incident(b2,b1b2),
inference(split_conjunct,[status(thm)],[ib2b1]) ).
cnf(c_0_157,plain,
( s3 = b2b3
| p1 = b3
| ~ incident(p1,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_114]),c_0_90])]) ).
cnf(c_0_158,plain,
( s2 = a1a2
| b3 = a2
| a2a3 = b1b2
| 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_148,c_0_149]),c_0_102])]),c_0_128]) ).
cnf(c_0_159,plain,
( goal
| a1a2 != b1b2 ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_160,plain,
( s2 = b2b3
| 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_151,c_0_152]),c_0_124])]),c_0_116]) ).
cnf(c_0_161,plain,
( goal
| a3 != a1 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_162,plain,
( s2 = b1b2
| p3 = b2
| ~ incident(p3,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).
cnf(c_0_163,plain,
( b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| s2 = a1a2
| p1 = b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_101])]),c_0_115]) ).
cnf(c_0_164,plain,
incident(p3,a1a2),
inference(split_conjunct,[status(thm)],[ip3a]) ).
cnf(c_0_165,plain,
a1a2 != b1b2,
inference(sr,[status(thm)],[c_0_159,c_0_51]) ).
cnf(c_0_166,plain,
( p2 = a3
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2
| b1 = a1
| p1 = a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_160]),c_0_114])]),c_0_115]) ).
cnf(c_0_167,plain,
a3 != a1,
inference(sr,[status(thm)],[c_0_161,c_0_51]) ).
fof(c_0_168,plain,
( b1 != b2
| goal ),
inference(fof_nnf,[status(thm)],[diff_b1_b2]) ).
cnf(c_0_169,plain,
( b3b1 = b1b2
| p3 = b1
| ~ incident(p3,b3b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_155]),c_0_63])]) ).
cnf(c_0_170,plain,
( p1 = b3
| b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| p3 = b2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164])]),c_0_165]) ).
cnf(c_0_171,plain,
( p1 = a2
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_166]),c_0_167]) ).
cnf(c_0_172,plain,
( goal
| b1 != b2 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_173,plain,
( X1 = b2
| X2 = b2b3
| ~ incident(b2,X2)
| ~ incident(X1,b2b3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_72]) ).
cnf(c_0_174,plain,
( b3 = a2
| a2a3 = b1b2
| b1 = a3
| b2 = a1
| b3 = a3
| p3 = b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_131]),c_0_164])]),c_0_165]) ).
cnf(c_0_175,plain,
( p3 = b2
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
b2 != b1,
inference(sr,[status(thm)],[c_0_172,c_0_51]) ).
cnf(c_0_177,plain,
( p1 = b2
| ~ incident(b2,a2a3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_101]),c_0_114])]),c_0_115]) ).
cnf(c_0_178,plain,
( b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| a2a3 = b1b2
| b3 = a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_179,plain,
( b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| p1 = b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_156])]) ).
fof(c_0_180,plain,
! [X5] :
( ~ incident(p3,X5)
| ~ incident(p1,X5)
| ~ incident(p2,X5)
| goal ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[goal_normal])]) ).
cnf(c_0_181,plain,
( s3 = s2
| s = a3
| ~ incident(a3,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_81]),c_0_78])]) ).
cnf(c_0_182,plain,
( b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2
| b2 = a2
| s2 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_179]),c_0_86])]) ).
cnf(c_0_183,plain,
( goal
| ~ incident(p3,X1)
| ~ incident(p1,X1)
| ~ incident(p2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_184,plain,
( s1 = a3a1
| s = a1
| ~ incident(s,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_73]),c_0_94])]) ).
cnf(c_0_185,plain,
( b2 = a2
| b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1
| s = a3
| s3 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_62])]) ).
cnf(c_0_186,plain,
( ~ incident(p3,X1)
| ~ incident(p1,X1)
| ~ incident(p2,X1) ),
inference(sr,[status(thm)],[c_0_183,c_0_51]) ).
cnf(c_0_187,plain,
( s3 = a2a3
| 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_184,c_0_185]),c_0_80])]),c_0_167]) ).
fof(c_0_188,plain,
! [X6,X7] :
( ~ incident(X6,X7)
| point(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_point])]) ).
cnf(c_0_189,plain,
( ~ incident(p1,b1b2)
| ~ incident(p2,b1b2) ),
inference(spm,[status(thm)],[c_0_186,c_0_155]) ).
cnf(c_0_190,plain,
( s1 = a3a1
| 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_157,c_0_187]),c_0_101])]),c_0_115]) ).
fof(c_0_191,plain,
! [X26,X27] :
( ( incident(X26,esk1_2(X26,X27))
| ~ point(X26)
| ~ point(X27) )
& ( incident(X27,esk1_2(X26,X27))
| ~ point(X26)
| ~ point(X27) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[join])])])]) ).
cnf(c_0_192,plain,
( point(X1)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_193,plain,
( b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2
| ~ incident(p2,b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_179]),c_0_156])]) ).
cnf(c_0_194,plain,
( p1 = b3
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2
| b2 = a2
| p2 = b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_190]),c_0_125])]),c_0_116]) ).
cnf(c_0_195,plain,
( incident(X1,esk1_2(X2,X1))
| ~ point(X2)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_196,plain,
point(p3),
inference(spm,[status(thm)],[c_0_192,c_0_164]) ).
cnf(c_0_197,plain,
( b2 = a2
| p1 = b3
| b3 = a2
| b1 = a3
| b2 = a1
| b3 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_63])]) ).
cnf(c_0_198,plain,
( ~ point(X1)
| ~ incident(p1,esk1_2(X1,p3))
| ~ incident(p2,esk1_2(X1,p3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_195]),c_0_196])]) ).
cnf(c_0_199,plain,
( incident(X1,esk1_2(X1,X2))
| ~ point(X1)
| ~ point(X2) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_200,plain,
point(p1),
inference(spm,[status(thm)],[c_0_192,c_0_114]) ).
cnf(c_0_201,plain,
( p2 = b3
| ~ incident(b3,a3a1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_125]),c_0_124])]),c_0_116]) ).
cnf(c_0_202,plain,
( b2 = a2
| b1 = a1
| b3 = a3
| b2 = a1
| b1 = a3
| b3 = a2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_197]),c_0_147]) ).
cnf(c_0_203,plain,
( X1 = b3
| X2 = b2b3
| ~ incident(b3,X2)
| ~ incident(X1,b2b3)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_90]) ).
cnf(c_0_204,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_198,c_0_199]),c_0_200]),c_0_196])]) ).
cnf(c_0_205,plain,
( b3 = a2
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| p2 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_80])]) ).
cnf(c_0_206,plain,
( p1 = b3
| ~ incident(b3,a2a3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_101]),c_0_114])]),c_0_115]) ).
cnf(c_0_207,plain,
( b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| b3 = a2
| ~ incident(a3,esk1_2(p1,p3)) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_208,plain,
( b3 = a2
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| p1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_202]),c_0_62])]) ).
cnf(c_0_209,plain,
( b3 = a2
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| ~ incident(a3,esk1_2(a3,p3)) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_210,plain,
point(a3),
inference(spm,[status(thm)],[c_0_192,c_0_62]) ).
cnf(c_0_211,plain,
( s3 = a2a3
| b3 = a3
| ~ incident(b3,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_62]),c_0_81])]) ).
cnf(c_0_212,plain,
( b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| b3 = a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_199]),c_0_196]),c_0_210])]) ).
fof(c_0_213,plain,
( a1 != a2
| goal ),
inference(fof_nnf,[status(thm)],[diff_a1_a2]) ).
cnf(c_0_214,plain,
( s3 = s2
| s = a2
| ~ incident(a2,s3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_92]),c_0_87])]) ).
cnf(c_0_215,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| s3 = a2a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_102])]),c_0_128]) ).
cnf(c_0_216,plain,
( goal
| a1 != a2 ),
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_217,plain,
( s2 = b2b3
| ~ incident(b3,s2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_86]),c_0_72])]),c_0_147]) ).
cnf(c_0_218,plain,
( s1 = a1a2
| s = a1
| ~ incident(s,a1a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_132]),c_0_94])]) ).
cnf(c_0_219,plain,
( b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| s = a2
| s2 = a2a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_102])]) ).
cnf(c_0_220,plain,
a2 != a1,
inference(sr,[status(thm)],[c_0_216,c_0_51]) ).
cnf(c_0_221,plain,
( ~ point(X1)
| ~ incident(p1,esk1_2(p3,X1))
| ~ incident(p2,esk1_2(p3,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_199]),c_0_196])]) ).
cnf(c_0_222,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| s2 = b2b3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_212]),c_0_92])]) ).
cnf(c_0_223,plain,
( s2 = a2a3
| b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| s1 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_68])]),c_0_220]) ).
cnf(c_0_224,plain,
( esk1_2(X1,X2) = b3b1
| X1 = b3
| ~ point(X2)
| ~ incident(b3,esk1_2(X1,X2))
| ~ incident(X1,b3b1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_199]),c_0_192]) ).
fof(c_0_225,plain,
! [X29,X30] :
( ( incident(esk2_2(X29,X30),X29)
| ~ line(X29)
| ~ line(X30) )
& ( incident(esk2_2(X29,X30),X30)
| ~ line(X29)
| ~ line(X30) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meet])])])]) ).
fof(c_0_226,plain,
! [X8,X9] :
( ~ incident(X8,X9)
| line(X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sort_line])]) ).
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_221,c_0_195]),c_0_200]),c_0_196])]) ).
cnf(c_0_228,plain,
( b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3
| p1 = b3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_215]),c_0_101])]),c_0_115]) ).
cnf(c_0_229,plain,
( s1 = b1b2
| p3 = b1
| ~ incident(p3,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_155]),c_0_63])]) ).
cnf(c_0_230,plain,
( s1 = a1a2
| b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_115]) ).
cnf(c_0_231,plain,
( esk1_2(b1,X1) = b3b1
| ~ point(X1)
| ~ incident(b3,esk1_2(b1,X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_110]),c_0_111]) ).
cnf(c_0_232,plain,
point(b3),
inference(spm,[status(thm)],[c_0_192,c_0_90]) ).
cnf(c_0_233,plain,
point(b1),
inference(spm,[status(thm)],[c_0_192,c_0_110]) ).
cnf(c_0_234,plain,
( incident(esk2_2(X1,X2),X2)
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_235,plain,
( line(X2)
| ~ incident(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_236,plain,
( X1 = b2
| X2 = b1b2
| ~ incident(b2,X2)
| ~ incident(X1,b1b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_156]) ).
cnf(c_0_237,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| ~ incident(p2,esk1_2(p3,b3)) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_238,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2 = a2
| p3 = b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_164])]),c_0_165]) ).
cnf(c_0_239,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_195]),c_0_232]),c_0_233])]) ).
cnf(c_0_240,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_234]),c_0_235]) ).
cnf(c_0_241,plain,
( a2a3 = b1b2
| b2 = a3
| ~ incident(b2,a2a3)
| ~ incident(a3,b1b2) ),
inference(spm,[status(thm)],[c_0_236,c_0_62]) ).
cnf(c_0_242,plain,
( b2 = a2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_124])]) ).
cnf(c_0_243,plain,
( a3a1 = a2a3
| b2 = a3
| incident(a3,b1b2)
| ~ incident(b2,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_62]),c_0_80])]) ).
cnf(c_0_244,plain,
( esk2_2(X1,a2a3) = p1
| X2 = a2a3
| ~ line(X1)
| ~ incident(esk2_2(X1,a2a3),X2)
| ~ incident(p1,X2) ),
inference(spm,[status(thm)],[c_0_240,c_0_101]) ).
cnf(c_0_245,plain,
( b2b3 = a1a2
| incident(a1,b2b3)
| ~ incident(b2,a1a2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_72]),c_0_90])]),c_0_147]) ).
cnf(c_0_246,plain,
( X1 = a2
| X2 = a1a2
| ~ incident(a2,X2)
| ~ incident(X1,a1a2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_68]) ).
cnf(c_0_247,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| a2a3 = b1b2
| ~ incident(a3,b1b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_102])]),c_0_128]) ).
cnf(c_0_248,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| a3a1 = a2a3
| incident(a3,b1b2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_242]),c_0_102])]),c_0_128]) ).
cnf(c_0_249,plain,
( esk2_2(X1,a2a3) = p1
| ~ line(X1)
| ~ incident(esk2_2(X1,a2a3),b2b3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_114]),c_0_115]) ).
cnf(c_0_250,plain,
( incident(esk2_2(X1,X2),X1)
| ~ line(X1)
| ~ line(X2) ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_251,plain,
line(b2b3),
inference(spm,[status(thm)],[c_0_235,c_0_114]) ).
cnf(c_0_252,plain,
line(a2a3),
inference(spm,[status(thm)],[c_0_235,c_0_101]) ).
cnf(c_0_253,plain,
( b2b3 = a1a2
| b2 = a1
| ~ incident(b2,a1a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_132]),c_0_245]) ).
cnf(c_0_254,plain,
( a3a1 = a1a2
| ~ incident(a2,a3a1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_73]),c_0_132])]),c_0_220]) ).
cnf(c_0_255,plain,
( a3a1 = a2a3
| a2a3 = b1b2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_256,plain,
( esk2_2(X1,b1b2) = p3
| X2 = b1b2
| ~ line(X1)
| ~ incident(esk2_2(X1,b1b2),X2)
| ~ incident(p3,X2) ),
inference(spm,[status(thm)],[c_0_240,c_0_155]) ).
cnf(c_0_257,plain,
esk2_2(b2b3,a2a3) = p1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]),c_0_252])]) ).
cnf(c_0_258,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| b2b3 = a1a2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_242]),c_0_68])]),c_0_220]) ).
cnf(c_0_259,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| a2a3 = b1b2
| a2a3 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_102])]) ).
cnf(c_0_260,plain,
( esk2_2(X1,b1b2) = p3
| ~ line(X1)
| ~ incident(esk2_2(X1,b1b2),a1a2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_164]),c_0_165]) ).
cnf(c_0_261,plain,
line(a1a2),
inference(spm,[status(thm)],[c_0_235,c_0_164]) ).
cnf(c_0_262,plain,
line(b1b2),
inference(spm,[status(thm)],[c_0_235,c_0_155]) ).
cnf(c_0_263,plain,
( esk2_2(a1a2,a2a3) = p1
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_264,plain,
( a2a3 = b1b2
| b1 = a1
| b2 = a1
| b1 = a3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_259]),c_0_258]) ).
cnf(c_0_265,plain,
esk2_2(a1a2,b1b2) = p3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_250]),c_0_261]),c_0_262])]) ).
cnf(c_0_266,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| p1 = p3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
cnf(c_0_267,plain,
( b1 = a1
| b2 = a1
| b1 = a3
| ~ point(X1)
| ~ incident(p3,esk1_2(X1,p3))
| ~ incident(p2,esk1_2(X1,p3)) ),
inference(spm,[status(thm)],[c_0_198,c_0_266]) ).
cnf(c_0_268,plain,
( b1 = a3
| b2 = a1
| b1 = a1
| ~ point(X1)
| ~ incident(p2,esk1_2(X1,p3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_195]),c_0_196])]) ).
cnf(c_0_269,plain,
point(p2),
inference(spm,[status(thm)],[c_0_192,c_0_124]) ).
cnf(c_0_270,plain,
( s2 = a1a2
| b2 = a2
| ~ incident(b2,a1a2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_68]),c_0_92])]) ).
cnf(c_0_271,plain,
( b1 = a1
| b2 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_199]),c_0_269]),c_0_196])]) ).
cnf(c_0_272,plain,
( s2 = s1
| s = a1
| ~ incident(a1,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_94]),c_0_84])]) ).
cnf(c_0_273,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_270,c_0_271]),c_0_132])]),c_0_220]) ).
cnf(c_0_274,plain,
( s3 = b2b3
| ~ incident(b2,s3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_72]),c_0_90])]),c_0_147]) ).
cnf(c_0_275,plain,
( s3 = a3a1
| s = a3
| ~ incident(s,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_81])]) ).
cnf(c_0_276,plain,
( b1 = a1
| b1 = a3
| s = a1
| s1 = a1a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_132])]) ).
cnf(c_0_277,plain,
( s1 = b1b2
| ~ incident(b2,s1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_109]),c_0_63])]),c_0_176]) ).
cnf(c_0_278,plain,
( b1 = a3
| b1 = a1
| s3 = b2b3
| ~ incident(a1,s3) ),
inference(spm,[status(thm)],[c_0_274,c_0_271]) ).
cnf(c_0_279,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_275,c_0_276]),c_0_73])]),c_0_167]) ).
cnf(c_0_280,plain,
( p3 = b2
| ~ incident(b2,a1a2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_164]),c_0_155])]),c_0_165]) ).
cnf(c_0_281,plain,
( b1 = a3
| b1 = a1
| s1 = b1b2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_271]),c_0_94])]) ).
cnf(c_0_282,plain,
( s1 = a1a2
| a3a1 = b2b3
| b1 = a1
| b1 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_73])]) ).
cnf(c_0_283,plain,
( esk1_2(X1,X2) = a3a1
| X2 = a3
| ~ point(X1)
| ~ incident(a3,esk1_2(X1,X2))
| ~ incident(X2,a3a1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_195]),c_0_192]) ).
cnf(c_0_284,plain,
( b1 = a3
| b1 = a1
| p3 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_271]),c_0_132])]) ).
cnf(c_0_285,plain,
( a3a1 = b2b3
| b1 = a1
| b1 = a3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_165]) ).
cnf(c_0_286,plain,
( esk1_2(X1,a1) = a3a1
| ~ point(X1)
| ~ incident(a3,esk1_2(X1,a1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_73]),c_0_167]) ).
cnf(c_0_287,plain,
point(a1),
inference(spm,[status(thm)],[c_0_192,c_0_73]) ).
cnf(c_0_288,plain,
( b1 = a1
| b1 = a3
| ~ incident(p2,esk1_2(p1,a1)) ),
inference(spm,[status(thm)],[c_0_204,c_0_284]) ).
cnf(c_0_289,plain,
( b1 = a3
| b1 = a1
| p1 = a3 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_285]),c_0_114])]),c_0_115]) ).
cnf(c_0_290,plain,
esk1_2(a3,a1) = a3a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_199]),c_0_210]),c_0_287])]) ).
cnf(c_0_291,plain,
( s1 = a3a1
| b1 = a1
| ~ incident(b1,a3a1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_73]),c_0_94])]) ).
cnf(c_0_292,plain,
( b1 = a3
| b1 = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]),c_0_125])]) ).
cnf(c_0_293,plain,
( s3 = s1
| s = a3
| ~ incident(a3,s1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_81]),c_0_78])]) ).
cnf(c_0_294,plain,
( b1 = a1
| s1 = a3a1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_80])]),c_0_167]) ).
cnf(c_0_295,plain,
( s3 = b3b1
| ~ incident(b1,s3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_110]),c_0_67])]),c_0_111]) ).
cnf(c_0_296,plain,
( s2 = a2a3
| s = a2
| ~ incident(s,a2a3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_102]),c_0_92])]) ).
cnf(c_0_297,plain,
( b1 = a1
| s = a3
| s3 = a3a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_80])]) ).
cnf(c_0_298,plain,
( b1 = a1
| s3 = b3b1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_292]),c_0_81])]) ).
cnf(c_0_299,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_296,c_0_297]),c_0_62])]),c_0_128]) ).
cnf(c_0_300,plain,
( s2 = b2b3
| p1 = b2
| ~ incident(p1,s2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_114]),c_0_72])]) ).
cnf(c_0_301,plain,
( s2 = a2a3
| b1 = a1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_116]) ).
cnf(c_0_302,plain,
( b1 = a1
| p1 = b2 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_101])]),c_0_115]) ).
cnf(c_0_303,plain,
( b1 = a1
| ~ incident(p2,b1b2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_302]),c_0_156])]) ).
cnf(c_0_304,plain,
( b1 = a1
| p2 = b1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_294]),c_0_125])]),c_0_116]) ).
cnf(c_0_305,plain,
( X1 = b1
| X2 = b1b2
| ~ incident(b1,X2)
| ~ incident(X1,b1b2)
| ~ incident(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_63]) ).
cnf(c_0_306,plain,
( p2 = b1
| ~ incident(b1,a3a1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_125]),c_0_124])]),c_0_116]) ).
cnf(c_0_307,plain,
b1 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_63])]) ).
cnf(c_0_308,plain,
( p3 = b1
| ~ incident(b1,a1a2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_164]),c_0_155])]),c_0_165]) ).
cnf(c_0_309,plain,
p2 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307]),c_0_307]),c_0_73])]) ).
cnf(c_0_310,plain,
p3 = a1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_307]),c_0_307]),c_0_132])]) ).
cnf(c_0_311,plain,
~ incident(a1,esk1_2(a1,p1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_309]),c_0_310]) ).
cnf(c_0_312,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_199]),c_0_200]),c_0_287])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 18:55:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.47/0.57 start to proof: theBenchmark
% 1.21/1.31 % Version : CSE_E---1.5
% 1.21/1.31 % Problem : theBenchmark.p
% 1.21/1.31 % Proof found
% 1.21/1.32 % SZS status Theorem for theBenchmark.p
% 1.21/1.32 % SZS output start Proof
% See solution above
% 1.31/1.33 % Total time : 0.732000 s
% 1.31/1.33 % SZS output end Proof
% 1.31/1.33 % Total time : 0.734000 s
%------------------------------------------------------------------------------