%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO041-3 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:19:07 PM UTC 2026
% Result : Unsatisfiable 1.04s 1.62s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_52)
% Comments :
%------------------------------------------------------------------------------
cnf(r5,axiom,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r5) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-2.ax',reflection) ).
cnf(r6,axiom,
X1 = reflection(reflection(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r6) ).
cnf(r2_2,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_2) ).
cnf(r2_1,axiom,
between(X1,X2,reflection(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_1) ).
cnf(r4,axiom,
( X2 = X1
| X1 != reflection(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r4) ).
cnf(r3_1,axiom,
( X2 = reflection(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3_1) ).
cnf(r3_2,axiom,
X1 = reflection(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3_2) ).
cnf(continuity2,axiom,
( equidistant(X1,X6,X1,continuous(X1,X2,X3,X6,X4,X5))
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',continuity2) ).
cnf(continuity1,axiom,
( between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',continuity1) ).
cnf(euclid3,axiom,
( X1 = X2
| between(euclid1(X1,X4,X2,X5,X3),X3,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',euclid3) ).
cnf(euclid1,axiom,
( X1 = X2
| between(X1,X4,euclid1(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',euclid1) ).
cnf(euclid2,axiom,
( X1 = X2
| between(X1,X5,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',euclid2) ).
cnf(inner_pasch1,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(inner_pasch2,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(outer_five_segment,axiom,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(upper_dimension,axiom,
( between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| X2 = X3
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| ~ equidistant(X5,X2,X5,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',upper_dimension) ).
cnf(d8,axiom,
( equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8) ).
cnf(d5,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5) ).
cnf(transitivity_for_equidistance,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(d10_2,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_2) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(d4_1,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_1) ).
cnf(d3,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).
cnf(d4_2,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(d4_3,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_3) ).
cnf(d4_4,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).
cnf(d9,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(d10_3,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_3) ).
cnf(b0,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b0) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(d10_1,axiom,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_1) ).
cnf(e1,axiom,
X1 = extension(X2,X1,X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).
cnf(d7,axiom,
equidistant(X1,X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).
cnf(d1,axiom,
equidistant(X1,X2,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(b1,axiom,
( between(X4,X2,X3)
| ~ between(X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).
cnf(w_between_u_and_v,hypothesis,
between(u,w,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_v) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(prove_v_is_w,negated_conjecture,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_w) ).
cnf(i_0_51,axiom,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
r5 ).
cnf(i_0_52,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(i_0_53,axiom,
X1 = reflection(reflection(X1,X2),X2),
r6 ).
cnf(i_0_54,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
r2_2 ).
cnf(i_0_55,axiom,
between(X1,X2,reflection(X1,X2)),
r2_1 ).
cnf(i_0_56,axiom,
( X2 = X1
| X1 != reflection(X2,X1) ),
r4 ).
cnf(i_0_57,axiom,
( X2 = reflection(X1,X2)
| X1 != X2 ),
r3_1 ).
cnf(i_0_58,axiom,
X1 = reflection(X1,X1),
r3_2 ).
cnf(i_0_59,axiom,
( equidistant(X1,X6,X1,continuous(X1,X2,X3,X6,X4,X5))
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
continuity2,
[final] ).
cnf(i_0_60,axiom,
( between(X3,continuous(X1,X2,X3,X6,X4,X5),X5)
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X1,X4,X1,X5)
| ~ between(X1,X2,X4)
| ~ between(X2,X6,X4) ),
continuity1,
[final] ).
cnf(i_0_61,axiom,
( X1 = X2
| between(euclid1(X1,X4,X2,X5,X3),X3,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
euclid3,
[final] ).
cnf(i_0_62,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_51,c_0_52]),c_0_52]),
[final] ).
cnf(i_0_63,axiom,
( X1 = X2
| between(X1,X4,euclid1(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
euclid1,
[final] ).
cnf(i_0_64,axiom,
( X1 = X2
| between(X1,X5,euclid2(X1,X4,X2,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X5) ),
euclid2,
[final] ).
cnf(i_0_65,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1,
[final] ).
cnf(i_0_66,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2,
[final] ).
cnf(i_0_67,axiom,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
outer_five_segment,
[final] ).
cnf(i_0_68,axiom,
( between(X1,X4,X5)
| between(X4,X5,X1)
| between(X5,X1,X4)
| X2 = X3
| ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| ~ equidistant(X5,X2,X5,X3) ),
upper_dimension,
[final] ).
cnf(i_0_69,plain,
X1 = extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_53,c_0_52]),c_0_52]),
[final] ).
cnf(i_0_70,axiom,
( equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d8,
[final] ).
cnf(i_0_71,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
d5,
[final] ).
cnf(i_0_72,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance,
[final] ).
cnf(i_0_73,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
d10_2,
[final] ).
cnf(i_0_74,plain,
equidistant(X1,extension(X2,X1,X2,X1),X2,X1),
inference(rw,[status(thm)],[i_0_54,c_0_52]),
[final] ).
cnf(i_0_75,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2,
[final] ).
cnf(i_0_76,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1,
[final] ).
cnf(i_0_77,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3,
[final] ).
cnf(i_0_78,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2,
[final] ).
cnf(i_0_79,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2,
[final] ).
cnf(i_0_80,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3,
[final] ).
cnf(i_0_81,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4,
[final] ).
cnf(i_0_82,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5,
[final] ).
cnf(i_0_83,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d9,
[final] ).
cnf(i_0_84,plain,
between(X1,X2,extension(X1,X2,X1,X2)),
inference(rw,[status(thm)],[i_0_55,c_0_52]),
[final] ).
cnf(i_0_85,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1,
[final] ).
cnf(i_0_86,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
d10_3,
[final] ).
cnf(i_0_87,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
b0,
[final] ).
cnf(i_0_88,plain,
( X1 = X2
| X1 != extension(X2,X1,X2,X1) ),
inference(rw,[status(thm)],[i_0_56,c_0_52]),
[final] ).
cnf(i_0_89,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance,
[final] ).
cnf(i_0_90,axiom,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
d10_1,
[final] ).
cnf(i_0_91,plain,
( X2 = extension(X1,X2,X1,X2)
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_57,c_0_52]),
[final] ).
cnf(i_0_92,plain,
X1 = extension(X1,X1,X1,X1),
inference(rw,[status(thm)],[i_0_58,c_0_52]),
[final] ).
cnf(i_0_93,axiom,
X1 = extension(X2,X1,X3,X3),
e1,
[final] ).
cnf(i_0_94,axiom,
equidistant(X1,X1,X2,X2),
d7,
[final] ).
cnf(i_0_95,axiom,
equidistant(X1,X2,X1,X2),
d1,
[final] ).
cnf(i_0_96,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance,
[final] ).
cnf(i_0_97,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2,
[final] ).
cnf(i_0_98,axiom,
( between(X4,X2,X3)
| ~ between(X1,X2,X3)
| X1 != X3 ),
b1,
[final] ).
cnf(i_0_99,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1,
[final] ).
cnf(i_0_100,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness,
[final] ).
cnf(i_0_101,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
lower_dimension3,
[final] ).
cnf(i_0_102,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
lower_dimension2,
[final] ).
cnf(i_0_103,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
lower_dimension1,
[final] ).
cnf(i_0_104,axiom,
between(X1,X1,X2),
t2,
[final] ).
cnf(i_0_105,axiom,
between(X1,X2,X2),
t3,
[final] ).
cnf(i_0_106,hypothesis,
between(u,w,v),
w_between_u_and_v,
[final] ).
cnf(i_0_107,hypothesis,
between(u,v,w),
v_between_u_and_w,
[final] ).
cnf(i_0_108,negated_conjecture,
v != w,
prove_v_is_w,
[final] ).
cnf(i_0_109,axiom,
X1 = X1 ).
cnf(i_0_110,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_111,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_112,axiom,
( X1 != X2
| extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).
cnf(i_0_113,axiom,
( X1 != X2
| extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).
cnf(i_0_114,axiom,
( X1 != X2
| extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).
cnf(i_0_115,axiom,
( X1 != X2
| extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).
cnf(i_0_116,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_117,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_118,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_119,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_120,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_121,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_122,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_109_001,axiom,
X1 = X1 ).
cnf(i_0_110_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_111_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_112_004,axiom,
( X1 != X2
| extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).
cnf(i_0_113_005,axiom,
( X1 != X2
| extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).
cnf(i_0_114_006,axiom,
( X1 != X2
| extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).
cnf(i_0_115_007,axiom,
( X1 != X2
| extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).
cnf(i_0_116_008,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_117_009,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_118_010,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_119_011,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_120_012,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_121_013,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_122_014,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_123,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_inference,[],[87]) ).
cnf(i_0_124,plain,
X1 = extension(X1,X1,X1,X1),
inference(equality_inference,[],[91]) ).
cnf(i_0_125,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X3) ),
inference(equality_inference,[],[98]) ).
cnf(i_0_126,plain,
extension(X1,X2,X3,X3) = X2,
inference(scs_inference,[],[i_0_93,i_0_110]) ).
cnf(i_0_127,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76]) ).
cnf(i_0_128,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_129,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76,i_0_77]) ).
cnf(i_0_130,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_131,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76,i_0_77,i_0_78]) ).
cnf(i_0_132,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_133,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79]) ).
cnf(i_0_134,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_135,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80]) ).
cnf(i_0_136,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_137,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81]) ).
cnf(i_0_138,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_139,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82]) ).
cnf(i_0_140,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_141,plain,
between(extension(X1,X2,X1,X2),X2,X1),
inference(scs_inference,[],[i_0_75,i_0_93,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87]) ).
cnf(i_0_142,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_143,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(scs_inference,[],[i_0_75,i_0_85,i_0_93,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99]) ).
cnf(i_0_144,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_145,plain,
~ between(v,w,v),
inference(scs_inference,[],[i_0_108,i_0_105,i_0_75,i_0_85,i_0_93,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97]) ).
cnf(i_0_146,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_147,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_148,plain,
v != extension(X1,w,X2,X2),
inference(scs_inference,[],[i_0_108,i_0_105,i_0_75,i_0_85,i_0_93,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111]) ).
cnf(i_0_149,plain,
equidistant(X1,X1,X2,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2)),
inference(scs_inference,[],[i_0_108,i_0_94,i_0_105,i_0_75,i_0_85,i_0_93,i_0_62,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71]) ).
cnf(i_0_150,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_151,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_152,plain,
equidistant(X1,X1,X2,extension(X3,X2,X4,X4)),
inference(scs_inference,[],[i_0_108,i_0_94,i_0_105,i_0_75,i_0_85,i_0_93,i_0_62,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71,i_0_72]) ).
cnf(i_0_153,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_154,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(scs_inference,[],[i_0_108,i_0_94,i_0_104,i_0_105,i_0_75,i_0_85,i_0_93,i_0_62,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_155,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_156,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_157,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_158,plain,
lower_dimension_point_1 != lower_dimension_point_3,
inference(scs_inference,[],[i_0_108,i_0_94,i_0_104,i_0_156,i_0_105,i_0_75,i_0_85,i_0_93,i_0_62,i_0_101,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71,i_0_72,i_0_98,i_0_120]) ).
cnf(i_0_159,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_160,plain,
lower_dimension_point_3 != lower_dimension_point_1,
inference(scs_inference,[],[i_0_108,i_0_94,i_0_104,i_0_156,i_0_159,i_0_105,i_0_75,i_0_85,i_0_93,i_0_62,i_0_101,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121]) ).
cnf(i_0_161,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_162,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference(scs_inference,[],[i_0_108,i_0_94,i_0_104,i_0_156,i_0_159,i_0_105,i_0_146,i_0_75,i_0_85,i_0_93,i_0_62,i_0_101,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_163,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_164,plain,
equidistant(X1,X1,extension(X1,X1,X1,X1),extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_108,i_0_94,i_0_104,i_0_156,i_0_159,i_0_161,i_0_105,i_0_146,i_0_75,i_0_85,i_0_93,i_0_62,i_0_150,i_0_101,i_0_69,i_0_110,i_0_76,i_0_77,i_0_78,i_0_79,i_0_80,i_0_81,i_0_82,i_0_87,i_0_99,i_0_97,i_0_111,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122,i_0_70]) ).
cnf(i_0_165,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_166,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_167,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_168,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_169,plain,
equidistant(X1,X1,X2,X2),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_170,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_171,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_173,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,X6)),
inference(scs_inference,[],[i_0_126,i_0_87]) ).
cnf(i_0_174,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_175,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_176,plain,
equidistant(X1,X1,extension(X2,X3,X4,X4),X3),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_87,i_0_76]) ).
cnf(i_0_177,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_178,plain,
equidistant(X1,X2,X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_62,i_0_87,i_0_76,i_0_77]) ).
cnf(i_0_179,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_180,plain,
equidistant(X1,X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_62,i_0_87,i_0_76,i_0_77,i_0_78]) ).
cnf(i_0_181,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_182,plain,
equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_62,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79]) ).
cnf(i_0_183,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_184,plain,
equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_62,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82]) ).
cnf(i_0_185,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_186,plain,
equidistant(extension(X1,X1,X1,X1),extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1,X1),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_62,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80]) ).
cnf(i_0_187,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_188,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X1,X1,X1,X1),X1,X1),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_62,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81]) ).
cnf(i_0_189,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_190,plain,
between(extension(X1,w,X2,X2),w,X3),
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_154,i_0_62,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99]) ).
cnf(i_0_191,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_192,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(scs_inference,[],[i_0_126,i_0_152,i_0_164,i_0_154,i_0_62,i_0_69,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110]) ).
cnf(i_0_193,plain,
~ between(v,w,extension(w,v,X1,X2)),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_152,i_0_164,i_0_154,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97]) ).
cnf(i_0_194,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_195,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_196,plain,
~ between(extension(X1,v,X2,X2),w,v),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_145,i_0_152,i_0_164,i_0_154,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98]) ).
cnf(i_0_197,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_198,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_199,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_145,i_0_152,i_0_164,i_0_154,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111]) ).
cnf(i_0_200,plain,
X1 = extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),
inference(rename_variables,[],[i_0_69]) ).
cnf(i_0_201,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_145,i_0_152,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120]) ).
cnf(i_0_202,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_203,plain,
~ between(v,extension(X1,w,X2,X2),v),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_202,i_0_145,i_0_152,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120,i_0_121]) ).
cnf(i_0_204,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_205,plain,
~ between(v,w,extension(X1,v,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_202,i_0_204,i_0_145,i_0_152,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_206,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_207,plain,
equidistant(extension(w,w,X1,X2),w,extension(w,w,X1,X2),extension(X3,w,w,w)),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_202,i_0_204,i_0_145,i_0_95,i_0_133,i_0_152,i_0_143,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70]) ).
cnf(i_0_208,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_209,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_210,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_211,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_212,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_213,plain,
extension(X1,lower_dimension_point_2,X2,X2) = extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_202,i_0_204,i_0_145,i_0_95,i_0_133,i_0_152,i_0_143,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70,i_0_88]) ).
cnf(i_0_214,plain,
( X1 != extension(X2,X1,X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_215,plain,
extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1) = extension(X1,X1,X1,X1),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_202,i_0_204,i_0_145,i_0_95,i_0_133,i_0_152,i_0_143,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70,i_0_88,i_0_89]) ).
cnf(i_0_216,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_217,plain,
( extension(X1,X2,X3,X4) = X2
| extension(extension(X1,X2,X3,X4),X2,X1,X2) = X1 ),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_174,i_0_197,i_0_202,i_0_204,i_0_145,i_0_95,i_0_127,i_0_133,i_0_152,i_0_143,i_0_209,i_0_164,i_0_154,i_0_102,i_0_62,i_0_69,i_0_85,i_0_194,i_0_87,i_0_76,i_0_77,i_0_78,i_0_79,i_0_82,i_0_80,i_0_81,i_0_99,i_0_110,i_0_97,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70,i_0_88,i_0_89,i_0_83]) ).
cnf(i_0_218,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_219,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_220,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_221,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_222,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_223,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_224,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_225,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_226,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_228,plain,
extension(X1,X2,X3,X3) = extension(X2,extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3)),
inference(scs_inference,[],[i_0_199,i_0_88]) ).
cnf(i_0_229,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_230,plain,
( X1 != extension(X2,X1,X2,X1)
| X1 = X2 ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_231,plain,
between(extension(X1,X2,X1,X2),X2,extension(X3,X1,X4,X4)),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_88,i_0_87]) ).
cnf(i_0_232,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_233,plain,
between(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,X2),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_173,i_0_88,i_0_87,i_0_99]) ).
cnf(i_0_234,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_235,plain,
equidistant(X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X2,X2),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_173,i_0_88,i_0_87,i_0_99,i_0_79]) ).
cnf(i_0_236,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_237,plain,
equidistant(X1,X1,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),X2),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_173,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76]) ).
cnf(i_0_238,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_239,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1,X2,X2),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_173,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82]) ).
cnf(i_0_240,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_241,plain,
equidistant(w,extension(w,w,X1,X2),extension(w,w,X1,X2),extension(X3,w,w,w)),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77]) ).
cnf(i_0_242,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_243,plain,
equidistant(X1,X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_62,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78]) ).
cnf(i_0_244,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_245,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X2,X1),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_62,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80]) ).
cnf(i_0_246,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_247,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,X2,X1),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_62,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_248,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_249,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_149,i_0_62,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110]) ).
cnf(i_0_250,plain,
equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),X6),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_131,i_0_135,i_0_149,i_0_62,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71]) ).
cnf(i_0_251,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_252,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_253,plain,
equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X1),X6),X4),
inference(scs_inference,[],[i_0_199,i_0_229,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72]) ).
cnf(i_0_254,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_255,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_256,plain,
~ between(extension(extension(v,v,v,v),v,extension(v,v,v,v),v),w,extension(v,v,v,v)),
inference(scs_inference,[],[i_0_215,i_0_199,i_0_229,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_257,plain,
extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1) = extension(X1,X1,X1,X1),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_258,plain,
~ between(v,w,extension(X1,v,X2,X2)),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_259,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_260,plain,
~ between(v,w,extension(X1,extension(w,v,X2,X3),X4,X4)),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_199,i_0_229,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97]) ).
cnf(i_0_261,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,X6)),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_262,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_263,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(w,v,X2,X3)),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_192,i_0_199,i_0_229,i_0_193,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97,i_0_121]) ).
cnf(i_0_264,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_265,plain,
~ between(v,w,extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1)),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_192,i_0_264,i_0_199,i_0_229,i_0_193,i_0_145,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97,i_0_121,i_0_122]) ).
cnf(i_0_266,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_267,plain,
v != extension(extension(w,w,w,w),w,extension(w,w,w,w),w),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_257,i_0_192,i_0_264,i_0_199,i_0_229,i_0_193,i_0_145,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_148,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97,i_0_121,i_0_122,i_0_111]) ).
cnf(i_0_268,plain,
extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1) = extension(X1,X1,X1,X1),
inference(rename_variables,[],[i_0_215]) ).
cnf(i_0_269,plain,
v != extension(X1,w,X2,X2),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_270,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(w,v,X2,X3)),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_257,i_0_192,i_0_264,i_0_266,i_0_199,i_0_229,i_0_193,i_0_145,i_0_131,i_0_135,i_0_251,i_0_149,i_0_62,i_0_173,i_0_207,i_0_148,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97,i_0_121,i_0_122,i_0_111,i_0_120]) ).
cnf(i_0_271,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_272,plain,
equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X3,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)),X3),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_257,i_0_192,i_0_264,i_0_266,i_0_199,i_0_229,i_0_193,i_0_145,i_0_131,i_0_135,i_0_251,i_0_254,i_0_149,i_0_62,i_0_104,i_0_105,i_0_173,i_0_207,i_0_148,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97,i_0_121,i_0_122,i_0_111,i_0_120,i_0_70]) ).
cnf(i_0_273,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_274,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_275,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_276,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_277,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_278,plain,
between(X1,X2,extension(X2,X2,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_215,i_0_257,i_0_192,i_0_264,i_0_266,i_0_199,i_0_229,i_0_193,i_0_145,i_0_131,i_0_135,i_0_251,i_0_254,i_0_149,i_0_62,i_0_104,i_0_105,i_0_173,i_0_207,i_0_148,i_0_205,i_0_88,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_97,i_0_121,i_0_122,i_0_111,i_0_120,i_0_70,i_0_125]) ).
cnf(i_0_279,plain,
( ~ between(X1,X2,X1)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_125]) ).
cnf(i_0_280,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_281,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_282,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_283,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_284,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_285,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_287,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(scs_inference,[],[i_0_249,i_0_87]) ).
cnf(i_0_288,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_289,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(scs_inference,[],[i_0_249,i_0_278,i_0_87,i_0_99]) ).
cnf(i_0_290,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_291,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X1,X2),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_87,i_0_99,i_0_79]) ).
cnf(i_0_292,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_293,plain,
equidistant(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X4,X3)),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_250,i_0_87,i_0_99,i_0_79,i_0_76]) ).
cnf(i_0_294,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_295,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,X1,X2),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_250,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82]) ).
cnf(i_0_296,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_297,plain,
equidistant(X1,extension(X2,X1,X3,X4),X5,extension(X6,X5,X4,X3)),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_250,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78]) ).
cnf(i_0_298,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_299,plain,
equidistant(extension(X1,X2,extension(X3,X4,X2,X2),extension(X3,X4,X2,X2)),X2,X4,extension(X3,X4,X2,X2)),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80]) ).
cnf(i_0_300,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_301,plain,
equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),X6),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_302,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_303,plain,
equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X3,extension(X2,X1,X3,X3),extension(X2,X1,X3,X3)),X3),
inference(scs_inference,[],[i_0_249,i_0_62,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77]) ).
cnf(i_0_304,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_305,plain,
extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)) = extension(X2,X1,X3,X3),
inference(scs_inference,[],[i_0_249,i_0_228,i_0_62,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110]) ).
cnf(i_0_306,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,extension(X2,X1,X2,X1))),
inference(scs_inference,[],[i_0_249,i_0_228,i_0_62,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71]) ).
cnf(i_0_307,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_308,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),extension(X3,X4,X1,X2),X4),
inference(scs_inference,[],[i_0_249,i_0_228,i_0_62,i_0_135,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72]) ).
cnf(i_0_309,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_310,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_311,plain,
between(X1,extension(X2,X3,X4,X4),extension(X3,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4))),
inference(scs_inference,[],[i_0_249,i_0_228,i_0_62,i_0_135,i_0_104,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_312,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_313,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_314,plain,
~ between(v,extension(X1,w,X2,X2),extension(X3,extension(w,v,X4,X5),X6,X6)),
inference(scs_inference,[],[i_0_249,i_0_228,i_0_260,i_0_126,i_0_62,i_0_135,i_0_104,i_0_278,i_0_250,i_0_272,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121]) ).
cnf(i_0_315,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_316,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(extension(v,X2,v,X2),X2,extension(v,X2,v,X2),X2)),
inference(scs_inference,[],[i_0_249,i_0_228,i_0_260,i_0_126,i_0_62,i_0_135,i_0_104,i_0_278,i_0_250,i_0_272,i_0_263,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121,i_0_122]) ).
cnf(i_0_317,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(w,v,X2,X3)),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_318,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_319,plain,
v != extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),
inference(scs_inference,[],[i_0_249,i_0_318,i_0_228,i_0_260,i_0_126,i_0_62,i_0_135,i_0_104,i_0_278,i_0_250,i_0_272,i_0_263,i_0_148,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121,i_0_122,i_0_111]) ).
cnf(i_0_320,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_321,plain,
~ between(extension(X1,v,X2,X2),w,extension(X3,extension(w,v,X4,X5),X6,X6)),
inference(scs_inference,[],[i_0_249,i_0_318,i_0_228,i_0_260,i_0_126,i_0_315,i_0_62,i_0_135,i_0_104,i_0_278,i_0_250,i_0_272,i_0_263,i_0_148,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121,i_0_122,i_0_111,i_0_120]) ).
cnf(i_0_322,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_323,plain,
equidistant(X1,extension(X2,X1,X3,X3),X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_249,i_0_318,i_0_228,i_0_260,i_0_126,i_0_315,i_0_62,i_0_135,i_0_104,i_0_312,i_0_105,i_0_278,i_0_182,i_0_250,i_0_272,i_0_263,i_0_148,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121,i_0_122,i_0_111,i_0_120,i_0_70]) ).
cnf(i_0_324,plain,
equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_325,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_326,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_327,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_328,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_329,plain,
extension(w,v,w,v) != v,
inference(scs_inference,[],[i_0_249,i_0_318,i_0_228,i_0_260,i_0_126,i_0_315,i_0_62,i_0_135,i_0_104,i_0_312,i_0_105,i_0_278,i_0_182,i_0_250,i_0_272,i_0_263,i_0_148,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121,i_0_122,i_0_111,i_0_120,i_0_70,i_0_91]) ).
cnf(i_0_330,plain,
( X1 = extension(X2,X1,X2,X1)
| X2 != X1 ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_331,plain,
~ between(v,extension(extension(w,v,w,v),v,extension(w,v,w,v),v),extension(X1,extension(w,v,w,v),X2,X2)),
inference(scs_inference,[],[i_0_249,i_0_318,i_0_228,i_0_260,i_0_126,i_0_315,i_0_62,i_0_135,i_0_104,i_0_312,i_0_105,i_0_278,i_0_231,i_0_182,i_0_250,i_0_272,i_0_263,i_0_148,i_0_87,i_0_99,i_0_79,i_0_76,i_0_82,i_0_78,i_0_80,i_0_81,i_0_77,i_0_110,i_0_71,i_0_72,i_0_98,i_0_121,i_0_122,i_0_111,i_0_120,i_0_70,i_0_91,i_0_97]) ).
cnf(i_0_332,plain,
between(extension(X1,X2,X1,X2),X2,extension(X3,X1,X4,X4)),
inference(rename_variables,[],[i_0_231]) ).
cnf(i_0_333,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_334,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_335,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_336,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_337,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_338,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_339,plain,
equidistant(X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X2,X2),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_341,plain,
between(X1,X2,extension(X2,extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3))),
inference(scs_inference,[],[i_0_305,i_0_87]) ).
cnf(i_0_342,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_343,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(scs_inference,[],[i_0_305,i_0_287,i_0_87,i_0_99]) ).
cnf(i_0_344,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_345,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,extension(extension(X4,X3,X4,X3),X3,extension(X4,X3,X4,X3),X3)),
inference(scs_inference,[],[i_0_305,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79]) ).
cnf(i_0_346,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_347,plain,
equidistant(extension(X1,X2,X3,X3),X2,X3,extension(X4,X3,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3))),
inference(scs_inference,[],[i_0_305,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82]) ).
cnf(i_0_348,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_349,plain,
equidistant(extension(X1,X2,extension(X3,X4,X2,X2),extension(X3,X4,X2,X2)),X2,extension(X3,X4,X2,X2),X4),
inference(scs_inference,[],[i_0_305,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76]) ).
cnf(i_0_350,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_351,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X1,X1),extension(X3,X4,X1,X1)),extension(X3,X4,X1,X1),X4),
inference(scs_inference,[],[i_0_305,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78]) ).
cnf(i_0_352,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_353,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,extension(extension(X4,X3,X4,X3),X3,extension(X4,X3,X4,X3),X3)),
inference(scs_inference,[],[i_0_305,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81]) ).
cnf(i_0_354,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_355,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X1,X1),extension(X3,X4,X1,X1)),X4,extension(X3,X4,X1,X1)),
inference(scs_inference,[],[i_0_305,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77]) ).
cnf(i_0_356,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_357,plain,
equidistant(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,extension(X2,X1,X3,X3),extension(X2,X1,X3,X3))),
inference(scs_inference,[],[i_0_305,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80]) ).
cnf(i_0_358,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_359,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X3,extension(X4,X3,X2,X1)),
inference(scs_inference,[],[i_0_305,i_0_62,i_0_137,i_0_299,i_0_308,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72]) ).
cnf(i_0_360,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_361,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_362,plain,
equidistant(X1,X2,extension(X3,X4,X1,extension(X2,X1,X2,X1)),X4),
inference(scs_inference,[],[i_0_305,i_0_62,i_0_137,i_0_299,i_0_308,i_0_301,i_0_287,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71]) ).
cnf(i_0_363,plain,
equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),X6),
inference(rename_variables,[],[i_0_301]) ).
cnf(i_0_364,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_365,plain,
~ between(extension(X1,v,X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(extension(v,X4,v,X4),X4,extension(v,X4,v,X4),X4)),
inference(scs_inference,[],[i_0_305,i_0_199,i_0_62,i_0_137,i_0_299,i_0_308,i_0_301,i_0_287,i_0_316,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_366,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_367,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_368,plain,
~ between(v,w,extension(v,extension(w,v,X1,X1),v,extension(w,v,X1,X1))),
inference(scs_inference,[],[i_0_108,i_0_305,i_0_199,i_0_62,i_0_137,i_0_299,i_0_308,i_0_301,i_0_287,i_0_316,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97]) ).
cnf(i_0_369,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_370,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(X2,extension(w,v,X3,X4),X5,X5)),
inference(scs_inference,[],[i_0_108,i_0_305,i_0_192,i_0_199,i_0_260,i_0_62,i_0_137,i_0_299,i_0_308,i_0_301,i_0_287,i_0_316,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121]) ).
cnf(i_0_371,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_372,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(X2,extension(w,v,X3,X4),X5,X5)),
inference(scs_inference,[],[i_0_108,i_0_305,i_0_192,i_0_371,i_0_199,i_0_260,i_0_62,i_0_137,i_0_299,i_0_308,i_0_301,i_0_287,i_0_316,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120]) ).
cnf(i_0_373,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_374,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(v,extension(w,v,X2,X2),v,extension(w,v,X2,X2))),
inference(scs_inference,[],[i_0_108,i_0_305,i_0_192,i_0_371,i_0_199,i_0_260,i_0_62,i_0_137,i_0_299,i_0_308,i_0_301,i_0_287,i_0_316,i_0_270,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122]) ).
cnf(i_0_375,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(w,v,X2,X3)),
inference(rename_variables,[],[i_0_270]) ).
cnf(i_0_376,plain,
extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)) = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_377,plain,
equidistant(X1,X2,extension(X1,X1,X1,X1),extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(scs_inference,[],[i_0_108,i_0_305,i_0_192,i_0_371,i_0_199,i_0_260,i_0_62,i_0_137,i_0_139,i_0_104,i_0_299,i_0_308,i_0_289,i_0_301,i_0_287,i_0_316,i_0_270,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70]) ).
cnf(i_0_378,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_379,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_380,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_381,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_382,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_383,plain,
v != extension(w,extension(X1,w,X2,X2),w,extension(X1,w,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_305,i_0_376,i_0_192,i_0_371,i_0_199,i_0_260,i_0_62,i_0_137,i_0_139,i_0_104,i_0_299,i_0_308,i_0_289,i_0_301,i_0_287,i_0_316,i_0_270,i_0_148,i_0_87,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70,i_0_111]) ).
cnf(i_0_384,plain,
extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)) = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_385,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_386,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ equidistant(X3,X4,X3,X5)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X2,X4,X2,X5)
| between(X3,X1,X2)
| X4 = X5 ),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_387,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_388,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_389,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_390,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_391,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X2,X1),
inference(rename_variables,[],[i_0_245]) ).
cnf(i_0_393,plain,
between(extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)),X1,X2),
inference(scs_inference,[],[i_0_341,i_0_99]) ).
cnf(i_0_394,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_395,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,extension(extension(X3,X4,X3,X4),X4,extension(X3,X4,X3,X4),X4)),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79]) ).
cnf(i_0_396,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_397,plain,
equidistant(extension(X1,X2,X3,X4),X2,extension(extension(X3,X4,X3,X4),X4,extension(X3,X4,X3,X4),X4),X4),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79,i_0_82]) ).
cnf(i_0_398,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_399,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),extension(X3,X4,X2,X1),X4),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76]) ).
cnf(i_0_400,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_401,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,extension(X3,X4,X1,X2),X4),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78]) ).
cnf(i_0_402,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_403,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,extension(extension(X3,X4,X3,X4),X4,extension(X3,X4,X3,X4),X4)),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81]) ).
cnf(i_0_404,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_405,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,X3,extension(X4,X3,X1,X2)),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77]) ).
cnf(i_0_406,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_407,plain,
equidistant(X1,extension(X2,X1,X3,X4),extension(extension(X3,X4,X3,X4),X4,extension(X3,X4,X3,X4),X4),X4),
inference(scs_inference,[],[i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80]) ).
cnf(i_0_408,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_409,plain,
equidistant(X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X2,extension(X3,X2,X4,X4)),
inference(scs_inference,[],[i_0_62,i_0_152,i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72]) ).
cnf(i_0_410,plain,
equidistant(X1,X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_411,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_412,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_413,plain,
equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,X4,X6,X6)),
inference(scs_inference,[],[i_0_62,i_0_129,i_0_152,i_0_410,i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71]) ).
cnf(i_0_414,plain,
equidistant(X1,X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_415,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_416,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_417,plain,
~ between(extension(w,v,X1,X1),w,extension(v,extension(w,v,X1,X1),v,extension(w,v,X1,X1))),
inference(scs_inference,[],[i_0_368,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_418,plain,
extension(X1,X2,X3,X3) = extension(X2,extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3)),
inference(rename_variables,[],[i_0_228]) ).
cnf(i_0_419,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_420,plain,
~ between(v,extension(X1,w,X2,X2),extension(v,extension(w,v,X3,X3),v,extension(w,v,X3,X3))),
inference(scs_inference,[],[i_0_368,i_0_126,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121]) ).
cnf(i_0_421,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_422,plain,
~ between(extension(X1,v,X2,X2),w,extension(v,extension(w,v,X3,X3),v,extension(w,v,X3,X3))),
inference(scs_inference,[],[i_0_368,i_0_126,i_0_421,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_359,i_0_341,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120]) ).
cnf(i_0_423,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_424,plain,
~ between(extension(extension(v,v,v,v),v,extension(v,v,v,v),v),w,extension(v,extension(v,v,v,v),v,extension(v,v,v,v))),
inference(scs_inference,[],[i_0_368,i_0_305,i_0_126,i_0_421,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_359,i_0_341,i_0_256,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122]) ).
cnf(i_0_425,plain,
extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)) = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_426,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X1,X1),extension(X3,X4,X1,X1)),extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),extension(X3,X4,X1,X1)),
inference(scs_inference,[],[i_0_368,i_0_305,i_0_126,i_0_421,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_104,i_0_355,i_0_359,i_0_237,i_0_341,i_0_343,i_0_256,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_70]) ).
cnf(i_0_427,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X1,X1),extension(X3,X4,X1,X1)),X4,extension(X3,X4,X1,X1)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_428,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_429,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_430,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_431,plain,
( X1 = extension(X2,extension(X3,X1,X4,X5),X6,X6)
| ~ between(X1,extension(X2,extension(X3,X1,X4,X5),X6,X6),X3) ),
inference(scs_inference,[],[i_0_368,i_0_305,i_0_126,i_0_421,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_104,i_0_355,i_0_359,i_0_237,i_0_341,i_0_343,i_0_233,i_0_256,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_70,i_0_97]) ).
cnf(i_0_432,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_433,plain,
( extension(X1,extension(X2,X3,X4,X5),X6,X6) = X3
| ~ between(X3,extension(X1,extension(X2,X3,X4,X5),X6,X6),X2) ),
inference(scs_inference,[],[i_0_368,i_0_305,i_0_126,i_0_421,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_104,i_0_355,i_0_359,i_0_237,i_0_341,i_0_343,i_0_233,i_0_256,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_70,i_0_97,i_0_110]) ).
cnf(i_0_434,plain,
( ~ between(w,extension(X1,extension(X2,w,X3,X4),X5,X5),X2)
| v != extension(X1,extension(X2,w,X3,X4),X5,X5) ),
inference(scs_inference,[],[i_0_108,i_0_368,i_0_305,i_0_126,i_0_421,i_0_228,i_0_62,i_0_129,i_0_152,i_0_410,i_0_104,i_0_355,i_0_359,i_0_237,i_0_341,i_0_343,i_0_233,i_0_256,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_81,i_0_77,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_70,i_0_97,i_0_110,i_0_111]) ).
cnf(i_0_435,plain,
between(X1,X2,extension(X2,extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3))),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_436,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_437,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_438,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_440,plain,
between(extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)),extension(X2,X1,X3,X3),X4),
inference(scs_inference,[],[i_0_311,i_0_99]) ).
cnf(i_0_441,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_442,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X3,X3),X3,extension(X4,X3,extension(X2,X1,X3,X3),extension(X2,X1,X3,X3))),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79]) ).
cnf(i_0_443,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_444,plain,
equidistant(extension(X1,X2,X3,X3),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X4,X3,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)),X3),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79,i_0_82]) ).
cnf(i_0_445,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_446,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X1,X1),extension(X3,X4,X1,X1)),extension(X3,X4,X1,X1),extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4)),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76]) ).
cnf(i_0_447,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_448,plain,
equidistant(extension(X1,X2,extension(X3,X4,X2,X2),extension(X3,X4,X2,X2)),X2,extension(X3,X4,X2,X2),extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4)),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78]) ).
cnf(i_0_449,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_450,plain,
equidistant(extension(X1,X2,extension(X3,X4,X2,X2),extension(X3,X4,X2,X2)),X2,extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),extension(X3,X4,X2,X2)),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77]) ).
cnf(i_0_451,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_452,plain,
equidistant(extension(X1,X2,X3,X3),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),X3,extension(X4,X3,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3))),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81]) ).
cnf(i_0_453,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_454,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X3,X3),extension(X4,X3,extension(X2,X1,X3,X3),extension(X2,X1,X3,X3)),X3),
inference(scs_inference,[],[i_0_311,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80]) ).
cnf(i_0_455,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_456,plain,
equidistant(X1,X2,X3,extension(X4,X3,X5,extension(X6,X5,X2,X1))),
inference(scs_inference,[],[i_0_131,i_0_311,i_0_137,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72]) ).
cnf(i_0_457,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_458,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_459,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X6,X5),
inference(scs_inference,[],[i_0_131,i_0_75,i_0_311,i_0_137,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71]) ).
cnf(i_0_460,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_461,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_462,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_463,plain,
~ between(extension(w,v,X1,X2),w,extension(X3,extension(w,v,X1,X2),X4,X4)),
inference(scs_inference,[],[i_0_260,i_0_93,i_0_131,i_0_75,i_0_311,i_0_137,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_464,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_465,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_466,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(v,extension(w,v,X2,X2),v,extension(w,v,X2,X2))),
inference(scs_inference,[],[i_0_192,i_0_368,i_0_260,i_0_93,i_0_131,i_0_75,i_0_311,i_0_137,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121]) ).
cnf(i_0_467,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_468,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,v),
inference(scs_inference,[],[i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_131,i_0_75,i_0_311,i_0_137,i_0_426,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120]) ).
cnf(i_0_469,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_470,plain,
~ between(extension(X1,v,X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(X4,v,X5,X5)),
inference(scs_inference,[],[i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_131,i_0_75,i_0_311,i_0_137,i_0_426,i_0_365,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122]) ).
cnf(i_0_471,plain,
~ between(extension(X1,v,X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(extension(v,X4,v,X4),X4,extension(v,X4,v,X4),X4)),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_472,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_473,plain,
extension(v,w,w,extension(X1,w,X2,X2)) = extension(X1,w,X2,X2),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_131,i_0_75,i_0_461,i_0_311,i_0_137,i_0_426,i_0_365,i_0_85,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83]) ).
cnf(i_0_474,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_475,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_476,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_477,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_478,plain,
equidistant(extension(X1,w,w,extension(X2,w,X3,X3)),extension(X4,w,w,w),extension(X2,w,X3,X3),w),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_475,i_0_131,i_0_460,i_0_75,i_0_461,i_0_476,i_0_311,i_0_190,i_0_137,i_0_426,i_0_365,i_0_85,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83,i_0_70]) ).
cnf(i_0_479,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_480,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_481,plain,
between(extension(X1,w,X2,X2),w,X3),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_482,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_483,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_484,plain,
X1 = extension(X2,X1,extension(X3,X4,X5,X5),X4),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_475,i_0_131,i_0_460,i_0_75,i_0_461,i_0_476,i_0_311,i_0_190,i_0_137,i_0_426,i_0_365,i_0_85,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83,i_0_70,i_0_89]) ).
cnf(i_0_485,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_486,plain,
between(X1,w,extension(v,w,w,extension(X1,w,X2,X2))),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_475,i_0_131,i_0_460,i_0_75,i_0_461,i_0_476,i_0_311,i_0_190,i_0_137,i_0_426,i_0_365,i_0_85,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83,i_0_70,i_0_89,i_0_87]) ).
cnf(i_0_487,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_488,plain,
extension(X1,w,X2,X2) = extension(v,w,w,extension(X1,w,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_475,i_0_131,i_0_460,i_0_75,i_0_461,i_0_476,i_0_311,i_0_190,i_0_137,i_0_426,i_0_365,i_0_85,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83,i_0_70,i_0_89,i_0_87,i_0_110]) ).
cnf(i_0_489,plain,
( X1 = extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3))
| ~ between(X1,extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)),X2) ),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_475,i_0_131,i_0_460,i_0_75,i_0_461,i_0_476,i_0_311,i_0_190,i_0_137,i_0_426,i_0_393,i_0_365,i_0_85,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83,i_0_70,i_0_89,i_0_87,i_0_110,i_0_97]) ).
cnf(i_0_490,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_491,plain,
v != extension(v,w,w,extension(X1,w,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_467,i_0_368,i_0_145,i_0_260,i_0_93,i_0_154,i_0_475,i_0_131,i_0_460,i_0_75,i_0_461,i_0_476,i_0_311,i_0_190,i_0_137,i_0_426,i_0_393,i_0_365,i_0_85,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_78,i_0_77,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_121,i_0_120,i_0_122,i_0_83,i_0_70,i_0_89,i_0_87,i_0_110,i_0_97,i_0_111]) ).
cnf(i_0_492,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_493,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ equidistant(X3,X4,X3,X5)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X2,X4,X2,X5)
| between(X3,X1,X2)
| X4 = X5 ),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_495,plain,
between(extension(X1,X2,X3,X3),X4,extension(X2,X4,X2,X4)),
inference(scs_inference,[],[i_0_231,i_0_99]) ).
cnf(i_0_496,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_497,plain,
equidistant(X1,extension(X2,X1,X3,X3),X4,extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4)),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79]) ).
cnf(i_0_498,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_499,plain,
equidistant(extension(X1,X2,X3,X3),X2,extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),X4),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79,i_0_82]) ).
cnf(i_0_500,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_501,plain,
equidistant(X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X3,X4,X4),X3),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76]) ).
cnf(i_0_502,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_503,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1,X2,extension(X3,X2,X4,X4)),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77]) ).
cnf(i_0_504,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_505,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1,extension(X2,X3,X4,X4),X3),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78]) ).
cnf(i_0_506,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_507,plain,
equidistant(extension(X1,X2,X3,X3),X2,X4,extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4)),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81]) ).
cnf(i_0_508,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_509,plain,
equidistant(X1,extension(X2,X1,X3,X3),extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),X4),
inference(scs_inference,[],[i_0_231,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80]) ).
cnf(i_0_510,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_511,plain,
extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
inference(scs_inference,[],[i_0_484,i_0_231,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110]) ).
cnf(i_0_512,plain,
equidistant(X1,X2,extension(X3,X4,X5,extension(X6,X5,X2,X1)),X4),
inference(scs_inference,[],[i_0_484,i_0_231,i_0_131,i_0_139,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72]) ).
cnf(i_0_513,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_514,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_515,plain,
equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X5,X6),
inference(scs_inference,[],[i_0_484,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71]) ).
cnf(i_0_516,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_517,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_518,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_519,plain,
~ between(extension(X1,v,X2,X2),w,extension(extension(v,X3,v,X3),X3,extension(v,X3,v,X3),X3)),
inference(scs_inference,[],[i_0_199,i_0_484,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_265,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_520,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_521,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_522,plain,
~ between(v,extension(X1,w,X2,X2),extension(w,v,w,v)),
inference(scs_inference,[],[i_0_199,i_0_484,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_265,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97]) ).
cnf(i_0_523,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_524,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),v),
inference(scs_inference,[],[i_0_199,i_0_192,i_0_484,i_0_145,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_265,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121]) ).
cnf(i_0_525,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_526,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(extension(w,X2,w,X2),X2,extension(w,X2,w,X2),X2),extension(X3,v,X4,X4)),
inference(scs_inference,[],[i_0_249,i_0_199,i_0_192,i_0_484,i_0_145,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_470,i_0_265,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120]) ).
cnf(i_0_527,plain,
~ between(extension(X1,v,X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(X4,v,X5,X5)),
inference(rename_variables,[],[i_0_470]) ).
cnf(i_0_528,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_529,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(extension(v,X2,v,X2),X2,extension(v,X2,v,X2),X2)),
inference(scs_inference,[],[i_0_249,i_0_199,i_0_192,i_0_525,i_0_484,i_0_145,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_470,i_0_265,i_0_468,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122]) ).
cnf(i_0_530,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_531,plain,
v != extension(X1,w,extension(X2,X3,X4,X4),X3),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_525,i_0_484,i_0_145,i_0_231,i_0_131,i_0_75,i_0_139,i_0_409,i_0_470,i_0_265,i_0_468,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_111]) ).
cnf(i_0_532,plain,
equidistant(extension(X1,X2,X2,extension(X2,X2,X2,X2)),extension(X2,X2,X2,X2),extension(X2,X2,X2,X2),X2),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_525,i_0_484,i_0_145,i_0_278,i_0_289,i_0_231,i_0_131,i_0_517,i_0_75,i_0_516,i_0_139,i_0_409,i_0_470,i_0_265,i_0_468,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_111,i_0_70]) ).
cnf(i_0_533,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_534,plain,
between(X1,X2,extension(X2,X2,X2,X2)),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_535,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_536,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_537,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_538,plain,
( ~ equidistant(extension(X1,w,X2,X2),extension(w,extension(X1,w,X2,X2),w,extension(X1,w,X2,X2)),extension(X1,w,X2,X2),extension(extension(X1,w,X2,X2),extension(X1,w,X2,X2),extension(X1,w,X2,X2),extension(X1,w,X2,X2)))
| extension(w,extension(X1,w,X2,X2),w,extension(X1,w,X2,X2)) = extension(extension(X1,w,X2,X2),extension(X1,w,X2,X2),extension(X1,w,X2,X2),extension(X1,w,X2,X2)) ),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_525,i_0_484,i_0_145,i_0_278,i_0_534,i_0_289,i_0_231,i_0_311,i_0_131,i_0_517,i_0_75,i_0_516,i_0_139,i_0_409,i_0_470,i_0_265,i_0_468,i_0_148,i_0_99,i_0_79,i_0_82,i_0_76,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_111,i_0_70,i_0_83]) ).
cnf(i_0_539,plain,
between(X1,extension(X2,X3,X4,X4),extension(X3,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4))),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_540,plain,
between(X1,X2,extension(X2,X2,X2,X2)),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_541,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_542,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_544,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),X7)),
inference(scs_inference,[],[i_0_511,i_0_87]) ).
cnf(i_0_545,plain,
extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_546,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_547,plain,
between(extension(v,w,w,extension(X1,w,X2,X2)),w,X1),
inference(scs_inference,[],[i_0_511,i_0_486,i_0_87,i_0_99]) ).
cnf(i_0_548,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_549,plain,
equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X5,X6),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_486,i_0_87,i_0_99,i_0_76]) ).
cnf(i_0_550,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_551,plain,
equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X2,X1),X6)),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79]) ).
cnf(i_0_552,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_553,plain,
equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X2),X6),X4),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82]) ).
cnf(i_0_554,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_555,plain,
equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X6,X5),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77]) ).
cnf(i_0_556,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_557,plain,
equidistant(extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1)),X1,extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78]) ).
cnf(i_0_558,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_559,plain,
equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X1,X2),X6)),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81]) ).
cnf(i_0_560,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_561,plain,
equidistant(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1))),
inference(scs_inference,[],[i_0_511,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80]) ).
cnf(i_0_562,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_563,plain,
equidistant(X1,X2,X3,extension(X4,X3,X5,extension(X6,X5,X1,X2))),
inference(scs_inference,[],[i_0_511,i_0_129,i_0_137,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72]) ).
cnf(i_0_564,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_565,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_566,plain,
equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2,X5,X6),
inference(scs_inference,[],[i_0_511,i_0_129,i_0_131,i_0_137,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71]) ).
cnf(i_0_567,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_568,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_569,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_570,plain,
~ between(extension(X1,extension(w,v,w,v),X2,X2),extension(X3,w,X4,X4),extension(w,v,w,v)),
inference(scs_inference,[],[i_0_126,i_0_511,i_0_522,i_0_129,i_0_131,i_0_137,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_571,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_572,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_573,plain,
~ between(v,w,extension(X1,extension(w,v,X2,X3),extension(X4,X5,X6,X6),X5)),
inference(scs_inference,[],[i_0_108,i_0_126,i_0_511,i_0_522,i_0_129,i_0_131,i_0_137,i_0_459,i_0_532,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97]) ).
cnf(i_0_574,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_575,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),extension(X4,v,X5,X5)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_126,i_0_511,i_0_522,i_0_129,i_0_131,i_0_137,i_0_459,i_0_532,i_0_526,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121]) ).
cnf(i_0_576,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(extension(w,X2,w,X2),X2,extension(w,X2,w,X2),X2),extension(X3,v,X4,X4)),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_577,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_578,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),extension(w,v,w,v)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_126,i_0_511,i_0_522,i_0_129,i_0_131,i_0_137,i_0_459,i_0_532,i_0_526,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120]) ).
cnf(i_0_579,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_580,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(X2,v,X3,X3)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_192,i_0_126,i_0_511,i_0_522,i_0_129,i_0_131,i_0_137,i_0_459,i_0_532,i_0_526,i_0_529,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122]) ).
cnf(i_0_581,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(extension(v,X2,v,X2),X2,extension(v,X2,v,X2),X2)),
inference(rename_variables,[],[i_0_529]) ).
cnf(i_0_582,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_583,plain,
equidistant(extension(X1,w,X2,w),extension(extension(w,w,w,w),w,extension(w,w,w,w),w),X2,extension(w,w,w,w)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_192,i_0_126,i_0_511,i_0_522,i_0_287,i_0_154,i_0_129,i_0_567,i_0_131,i_0_127,i_0_137,i_0_459,i_0_532,i_0_526,i_0_529,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70]) ).
cnf(i_0_584,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_585,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_586,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_587,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_588,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_589,plain,
extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_192,i_0_126,i_0_511,i_0_522,i_0_287,i_0_154,i_0_129,i_0_567,i_0_131,i_0_127,i_0_137,i_0_459,i_0_532,i_0_526,i_0_529,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70,i_0_89]) ).
cnf(i_0_590,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_591,plain,
X1 = extension(X2,X1,X3,extension(X4,X3,X5,X5)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_192,i_0_126,i_0_511,i_0_522,i_0_287,i_0_154,i_0_129,i_0_567,i_0_131,i_0_127,i_0_137,i_0_459,i_0_532,i_0_526,i_0_529,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70,i_0_89,i_0_110]) ).
cnf(i_0_592,plain,
v != extension(X1,w,X2,extension(X3,X2,X4,X4)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_192,i_0_126,i_0_511,i_0_522,i_0_287,i_0_154,i_0_129,i_0_567,i_0_131,i_0_127,i_0_137,i_0_459,i_0_532,i_0_526,i_0_529,i_0_486,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70,i_0_89,i_0_110,i_0_111]) ).
cnf(i_0_593,plain,
( ~ equidistant(w,extension(w,extension(v,w,X1,X1),w,extension(v,w,X1,X1)),w,extension(extension(w,X2,w,X2),X2,extension(w,X2,w,X2),X2))
| extension(w,extension(v,w,X1,X1),w,extension(v,w,X1,X1)) = extension(extension(w,X2,w,X2),X2,extension(w,X2,w,X2),X2) ),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_192,i_0_126,i_0_511,i_0_522,i_0_287,i_0_585,i_0_154,i_0_129,i_0_567,i_0_131,i_0_127,i_0_137,i_0_459,i_0_532,i_0_526,i_0_529,i_0_486,i_0_341,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70,i_0_89,i_0_110,i_0_111,i_0_83]) ).
cnf(i_0_594,plain,
between(X1,X2,extension(X2,extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3))),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_595,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_596,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_597,plain,
extension(X1,X2,X3,X3) = extension(X2,extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3)),
inference(rename_variables,[],[i_0_228]) ).
cnf(i_0_598,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,extension(extension(X4,X3,X4,X3),X3,extension(X4,X3,X4,X3),X3)),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_599,plain,
( ~ equidistant(w,extension(w,extension(v,w,w,w),w,extension(v,w,w,w)),w,extension(X1,w,X2,X2))
| extension(w,extension(v,w,w,w),w,extension(v,w,w,w)) = extension(extension(w,w,w,w),w,extension(w,w,w,w),w) ),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_577,i_0_582,i_0_228,i_0_192,i_0_126,i_0_511,i_0_522,i_0_287,i_0_585,i_0_154,i_0_129,i_0_567,i_0_131,i_0_127,i_0_137,i_0_459,i_0_532,i_0_353,i_0_526,i_0_529,i_0_486,i_0_341,i_0_87,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_81,i_0_80,i_0_72,i_0_71,i_0_98,i_0_97,i_0_121,i_0_120,i_0_122,i_0_70,i_0_89,i_0_110,i_0_111,i_0_83,i_0_117,i_0_119]) ).
cnf(i_0_600,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_601,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_602,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ equidistant(X3,X4,X3,X5)
| ~ equidistant(X1,X4,X1,X5)
| ~ equidistant(X2,X4,X2,X5)
| between(X3,X1,X2)
| X4 = X5 ),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_604,plain,
extension(X1,w,extension(w,w,w,w),w) = extension(extension(w,w,w,w),w,extension(w,w,w,w),w),
inference(scs_inference,[],[i_0_583,i_0_89]) ).
cnf(i_0_605,plain,
equidistant(extension(X1,w,X2,w),extension(extension(w,w,w,w),w,extension(w,w,w,w),w),X2,extension(w,w,w,w)),
inference(rename_variables,[],[i_0_583]) ).
cnf(i_0_606,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_607,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,extension(X7,X6,X8,X8))),
inference(scs_inference,[],[i_0_589,i_0_583,i_0_89,i_0_87]) ).
cnf(i_0_608,plain,
extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
inference(rename_variables,[],[i_0_589]) ).
cnf(i_0_609,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_610,plain,
between(extension(X1,extension(X2,X3,X4,X5),extension(X6,X7,X8,X8),X7),X3,X2),
inference(scs_inference,[],[i_0_589,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99]) ).
cnf(i_0_611,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_612,plain,
equidistant(extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1)),extension(X1,X1,X1,X1),X1),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76]) ).
cnf(i_0_613,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_614,plain,
equidistant(extension(X1,X1,X1,X1),X1,extension(X2,X1,X1,extension(X1,X1,X1,X1)),extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82]) ).
cnf(i_0_615,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_616,plain,
equidistant(X1,extension(X1,X1,X1,X1),extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1))),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79]) ).
cnf(i_0_617,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_618,plain,
equidistant(extension(X1,X2,X2,extension(X2,X2,X2,X2)),extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2)),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77]) ).
cnf(i_0_619,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_620,plain,
equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),X5),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78]) ).
cnf(i_0_621,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_622,plain,
equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),X5),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81]) ).
cnf(i_0_623,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_624,plain,
equidistant(X1,extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1)),extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80]) ).
cnf(i_0_625,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_626,plain,
extension(extension(w,w,w,w),w,extension(w,w,w,w),w) = extension(X1,w,extension(w,w,w,w),w),
inference(scs_inference,[],[i_0_589,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110]) ).
cnf(i_0_627,plain,
equidistant(X1,X2,extension(X3,X4,X5,extension(X6,X5,X1,X2)),X4),
inference(scs_inference,[],[i_0_589,i_0_129,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72]) ).
cnf(i_0_628,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_629,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_630,plain,
equidistant(extension(X1,X2,extension(extension(X3,X3,X3,X3),X3,extension(X3,X3,X3,X3),X3),extension(X3,X3,X3,X3)),X2,X3,X3),
inference(scs_inference,[],[i_0_589,i_0_129,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71]) ).
cnf(i_0_631,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_632,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_633,plain,
~ between(extension(w,v,X1,X2),w,extension(X3,extension(w,v,X1,X2),extension(X4,X5,X6,X6),X5)),
inference(scs_inference,[],[i_0_484,i_0_589,i_0_573,i_0_129,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_634,plain,
X1 = extension(X2,X1,extension(X3,X4,X5,X5),X4),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_635,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_636,plain,
~ between(v,w,extension(X1,extension(w,v,X2,X3),X4,extension(X5,X4,X6,X6))),
inference(scs_inference,[],[i_0_108,i_0_484,i_0_589,i_0_573,i_0_129,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97]) ).
cnf(i_0_637,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_638,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(X2,extension(w,v,X3,X4),extension(X5,X6,X7,X7),X6)),
inference(scs_inference,[],[i_0_108,i_0_484,i_0_192,i_0_589,i_0_573,i_0_129,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120]) ).
cnf(i_0_639,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_640,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(X2,extension(w,v,X3,X4),extension(X5,X6,X7,X7),X6)),
inference(scs_inference,[],[i_0_108,i_0_484,i_0_192,i_0_639,i_0_589,i_0_573,i_0_129,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121]) ).
cnf(i_0_641,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_642,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),extension(extension(v,X4,v,X4),X4,extension(v,X4,v,X4),X4)),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_484,i_0_192,i_0_639,i_0_589,i_0_573,i_0_129,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_575,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_643,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),extension(X4,v,X5,X5)),
inference(rename_variables,[],[i_0_575]) ).
cnf(i_0_644,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_645,plain,
equidistant(extension(extension(w,w,w,w),w,extension(w,w,w,w),w),extension(X1,w,w,X2),extension(w,w,w,w),X2),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_484,i_0_192,i_0_639,i_0_589,i_0_573,i_0_343,i_0_190,i_0_129,i_0_631,i_0_75,i_0_188,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_575,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122,i_0_70]) ).
cnf(i_0_646,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_647,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_648,plain,
between(extension(X1,w,X2,X2),w,X3),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_649,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_650,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_651,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_652,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_653,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_654,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_655,plain,
between(X1,X2,extension(X2,X2,X2,X2)),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_656,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_657,plain,
( extension(X1,extension(X2,X3,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X6),extension(extension(extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7),X7,extension(extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7),X7),X6) = X3
| equidistant(extension(X3,X3,X3,X3),extension(X2,X3,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X6),X5,X6)
| ~ equidistant(extension(X1,extension(X2,X3,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X6),extension(extension(extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7),X7,extension(extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7),X7),X6),X3,extension(extension(extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7),X7,extension(extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7,extension(X4,X5,X3,extension(X3,X3,X3,X3)),X7),X7),extension(X4,X5,X3,extension(X3,X3,X3,X3))) ),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_484,i_0_192,i_0_639,i_0_589,i_0_573,i_0_522,i_0_343,i_0_647,i_0_190,i_0_278,i_0_129,i_0_631,i_0_649,i_0_75,i_0_646,i_0_651,i_0_188,i_0_135,i_0_139,i_0_557,i_0_413,i_0_544,i_0_583,i_0_575,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_81,i_0_80,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122,i_0_70,i_0_67]) ).
cnf(i_0_658,plain,
extension(X1,X2,extension(extension(X3,X3,X3,X3),X3,extension(X3,X3,X3,X3),X3),extension(X3,X3,X3,X3)) = X2,
inference(scs_inference,[],[i_0_630,i_0_89]) ).
cnf(i_0_659,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_660,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6))),
inference(scs_inference,[],[i_0_630,i_0_89,i_0_87]) ).
cnf(i_0_661,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_662,plain,
between(extension(X1,extension(X2,X3,X4,X5),X6,extension(X7,X6,X8,X8)),X3,X2),
inference(scs_inference,[],[i_0_630,i_0_607,i_0_89,i_0_87,i_0_99]) ).
cnf(i_0_663,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_664,plain,
equidistant(X1,extension(X2,X1,X3,X3),X4,extension(X5,X4,X6,X6)),
inference(scs_inference,[],[i_0_620,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76]) ).
cnf(i_0_665,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_666,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),extension(X2,X2,X2,X2),X1,X2),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82]) ).
cnf(i_0_667,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_668,plain,
equidistant(extension(X1,X1,X1,X1),extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X1,X2),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79]) ).
cnf(i_0_669,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_670,plain,
equidistant(X1,X2,extension(X2,X2,X2,X2),extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77]) ).
cnf(i_0_671,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_672,plain,
equidistant(X1,X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),extension(X2,X2,X2,X2)),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78]) ).
cnf(i_0_673,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_674,plain,
equidistant(extension(X1,X1,X1,X1),extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X2,X1),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80]) ).
cnf(i_0_675,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_676,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),extension(X2,X2,X2,X2),X2,X1),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_677,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_678,plain,
extension(X1,X2,X3,X4) = extension(X5,extension(X1,X2,X3,X4),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6)),
inference(scs_inference,[],[i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110]) ).
cnf(i_0_679,plain,
equidistant(X1,X1,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X2,X2,X2,X2)),
inference(scs_inference,[],[i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72]) ).
cnf(i_0_680,plain,
equidistant(X1,X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X1,X1,X1,X1)),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_681,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_682,plain,
equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X4),X2,X6,X6),
inference(scs_inference,[],[i_0_129,i_0_184,i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71]) ).
cnf(i_0_683,plain,
equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_684,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_685,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_686,plain,
between(X1,w,extension(v,w,w,extension(w,w,w,w))),
inference(scs_inference,[],[i_0_488,i_0_289,i_0_129,i_0_184,i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98]) ).
cnf(i_0_687,plain,
extension(X1,w,X2,X2) = extension(v,w,w,extension(X1,w,X2,X2)),
inference(rename_variables,[],[i_0_488]) ).
cnf(i_0_688,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_689,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_690,plain,
~ between(v,w,extension(X1,extension(w,v,X2,X3),extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),extension(X4,X4,X4,X4))),
inference(scs_inference,[],[i_0_108,i_0_488,i_0_289,i_0_129,i_0_184,i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97]) ).
cnf(i_0_691,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_692,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(X2,extension(w,v,X3,X4),X5,extension(X6,X5,X7,X7))),
inference(scs_inference,[],[i_0_108,i_0_192,i_0_488,i_0_636,i_0_289,i_0_129,i_0_184,i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120]) ).
cnf(i_0_693,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_694,plain,
~ between(v,extension(extension(w,X1,w,X1),X1,extension(w,X1,w,X1),X1),extension(X2,extension(w,v,X3,X4),X5,extension(X6,X5,X7,X7))),
inference(scs_inference,[],[i_0_108,i_0_192,i_0_693,i_0_488,i_0_636,i_0_289,i_0_129,i_0_184,i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121]) ).
cnf(i_0_695,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_696,plain,
~ between(extension(X1,v,X2,X2),w,extension(X3,v,X4,X4)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_693,i_0_488,i_0_636,i_0_289,i_0_129,i_0_184,i_0_94,i_0_180,i_0_620,i_0_377,i_0_630,i_0_607,i_0_519,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_697,plain,
~ between(extension(X1,v,X2,X2),w,extension(extension(v,X3,v,X3),X3,extension(v,X3,v,X3),X3)),
inference(rename_variables,[],[i_0_519]) ).
cnf(i_0_698,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_699,plain,
extension(v,w,w,extension(w,w,w,w)) = extension(extension(w,w,w,w),w,extension(w,w,w,w),w),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_693,i_0_488,i_0_636,i_0_287,i_0_289,i_0_129,i_0_184,i_0_94,i_0_180,i_0_297,i_0_620,i_0_377,i_0_630,i_0_607,i_0_519,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122,i_0_83]) ).
cnf(i_0_700,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_701,plain,
equidistant(X1,extension(X2,X1,X3,X4),X5,extension(X6,X5,X4,X3)),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_702,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_703,plain,
equidistant(extension(X1,X2,extension(X3,X3,X3,X3),X3),extension(X2,X2,X2,X2),extension(X3,X3,X3,X3),X3),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_693,i_0_488,i_0_636,i_0_287,i_0_278,i_0_289,i_0_688,i_0_129,i_0_684,i_0_184,i_0_182,i_0_94,i_0_180,i_0_297,i_0_620,i_0_377,i_0_630,i_0_607,i_0_519,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122,i_0_83,i_0_70]) ).
cnf(i_0_704,plain,
equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_705,plain,
between(X1,X2,extension(X2,X2,X2,X2)),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_706,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_707,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_708,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_709,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_710,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_711,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_712,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_713,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_714,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_715,plain,
( extension(X1,extension(X2,X3,X3,X4),extension(X3,X3,X3,X3),X4) = X3
| equidistant(extension(extension(X3,X5,X3,X5),X5,extension(X3,X5,X3,X5),X5),extension(X2,X3,X3,X4),extension(extension(X3,X5,X3,X5),X5,extension(X3,X5,X3,X5),X5),X4)
| ~ equidistant(extension(X1,extension(X2,X3,X3,X4),extension(X3,X3,X3,X3),X4),X3,extension(X3,X3,X3,X3),X3) ),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_192,i_0_693,i_0_488,i_0_636,i_0_522,i_0_287,i_0_700,i_0_278,i_0_289,i_0_688,i_0_706,i_0_129,i_0_684,i_0_707,i_0_75,i_0_709,i_0_184,i_0_182,i_0_94,i_0_95,i_0_180,i_0_297,i_0_620,i_0_377,i_0_630,i_0_607,i_0_519,i_0_89,i_0_87,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_72,i_0_71,i_0_98,i_0_97,i_0_120,i_0_121,i_0_122,i_0_83,i_0_70,i_0_67]) ).
cnf(i_0_716,plain,
extension(extension(w,w,w,w),w,extension(w,w,w,w),w) = extension(X1,w,w,extension(w,w,w,w)),
inference(scs_inference,[],[i_0_645,i_0_89]) ).
cnf(i_0_717,plain,
equidistant(extension(extension(w,w,w,w),w,extension(w,w,w,w),w),extension(X1,w,w,X2),extension(w,w,w,w),X2),
inference(rename_variables,[],[i_0_645]) ).
cnf(i_0_718,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_719,plain,
between(extension(X1,extension(X2,X3,X4,X5),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6)),X3,X2),
inference(scs_inference,[],[i_0_660,i_0_645,i_0_89,i_0_99]) ).
cnf(i_0_720,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_721,plain,
equidistant(X1,X1,extension(X2,X2,X2,X2),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2)),
inference(scs_inference,[],[i_0_679,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76]) ).
cnf(i_0_722,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_723,plain,
equidistant(extension(X1,X1,X1,X1),extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X2,X2),
inference(scs_inference,[],[i_0_679,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82]) ).
cnf(i_0_724,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_725,plain,
equidistant(X1,X2,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_676,i_0_679,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79]) ).
cnf(i_0_726,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_727,plain,
equidistant(extension(X1,X1,X1,X1),extension(X2,X1,extension(X3,X3,X3,X3),X3),extension(X3,X3,X3,X3),X3),
inference(scs_inference,[],[i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77]) ).
cnf(i_0_728,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_729,plain,
equidistant(extension(X1,X1,X1,X1),extension(X2,X1,extension(X3,X3,X3,X3),X3),X3,extension(X3,X3,X3,X3)),
inference(scs_inference,[],[i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78]) ).
cnf(i_0_730,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_731,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X1,X1,X1,X1),X2,X2),
inference(scs_inference,[],[i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80]) ).
cnf(i_0_732,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_733,plain,
equidistant(X1,extension(X1,X1,X1,X1),extension(X2,X3,extension(X1,X1,X1,X1),X1),extension(X3,X3,X3,X3)),
inference(scs_inference,[],[i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_734,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_735,plain,
X1 = extension(X2,X1,extension(extension(X3,X3,X3,X3),X3,extension(X3,X3,X3,X3),X3),extension(X3,X3,X3,X3)),
inference(scs_inference,[],[i_0_658,i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110]) ).
cnf(i_0_736,plain,
equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2,X6,X5),
inference(scs_inference,[],[i_0_658,i_0_129,i_0_127,i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71]) ).
cnf(i_0_737,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_738,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_739,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_740,plain,
equidistant(X1,X1,extension(X2,X1,X1,extension(X1,X1,X1,X1)),extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_658,i_0_129,i_0_738,i_0_127,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72]) ).
cnf(i_0_741,plain,
equidistant(extension(X1,X1,X1,X1),X1,extension(X2,X1,X1,extension(X1,X1,X1,X1)),extension(X1,X1,X1,X1)),
inference(rename_variables,[],[i_0_614]) ).
cnf(i_0_742,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_743,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_744,plain,
between(X1,w,extension(v,w,w,extension(X2,w,X3,X3))),
inference(scs_inference,[],[i_0_488,i_0_658,i_0_190,i_0_129,i_0_738,i_0_127,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_745,plain,
extension(X1,w,X2,X2) = extension(v,w,w,extension(X1,w,X2,X2)),
inference(rename_variables,[],[i_0_488]) ).
cnf(i_0_746,plain,
between(extension(X1,w,X2,X2),w,X3),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_747,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_748,plain,
v != extension(X1,w,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X2,X2,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_488,i_0_658,i_0_190,i_0_129,i_0_738,i_0_127,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111]) ).
cnf(i_0_749,plain,
extension(X1,X2,extension(extension(X3,X3,X3,X3),X3,extension(X3,X3,X3,X3),X3),extension(X3,X3,X3,X3)) = X2,
inference(rename_variables,[],[i_0_658]) ).
cnf(i_0_750,plain,
~ between(extension(X1,v,X2,X2),extension(X3,w,X4,X4),extension(w,v,w,v)),
inference(scs_inference,[],[i_0_108,i_0_199,i_0_488,i_0_658,i_0_190,i_0_129,i_0_738,i_0_127,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_578,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111,i_0_120]) ).
cnf(i_0_751,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),extension(w,v,w,v)),
inference(rename_variables,[],[i_0_578]) ).
cnf(i_0_752,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_753,plain,
~ between(extension(X1,extension(w,v,w,v),X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(w,v,w,v)),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_488,i_0_658,i_0_190,i_0_129,i_0_738,i_0_127,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_570,i_0_578,i_0_645,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111,i_0_120,i_0_121]) ).
cnf(i_0_754,plain,
~ between(extension(X1,extension(w,v,w,v),X2,X2),extension(X3,w,X4,X4),extension(w,v,w,v)),
inference(rename_variables,[],[i_0_570]) ).
cnf(i_0_755,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_756,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(extension(lower_dimension_point_1,X3,lower_dimension_point_1,X3),X3,extension(lower_dimension_point_1,X3,lower_dimension_point_1,X3),X3)),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_488,i_0_658,i_0_190,i_0_129,i_0_738,i_0_127,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_570,i_0_578,i_0_645,i_0_201,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_757,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_758,plain,
equidistant(extension(X1,X2,X3,X2),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),X3,extension(X2,X2,X2,X2)),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_488,i_0_658,i_0_287,i_0_278,i_0_190,i_0_129,i_0_738,i_0_742,i_0_127,i_0_737,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_570,i_0_578,i_0_645,i_0_201,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70]) ).
cnf(i_0_759,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_760,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_761,plain,
between(X1,X2,extension(X2,X2,X2,X2)),
inference(rename_variables,[],[i_0_278]) ).
cnf(i_0_762,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_763,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_764,plain,
( X1 = extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X8,X8),X7)
| ~ between(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X8,X8),X7),X3) ),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_488,i_0_658,i_0_287,i_0_278,i_0_190,i_0_129,i_0_738,i_0_742,i_0_127,i_0_737,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_610,i_0_570,i_0_578,i_0_645,i_0_201,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70,i_0_97]) ).
cnf(i_0_765,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_766,plain,
( ~ equidistant(w,extension(X1,extension(v,w,X2,X3),extension(X4,X5,X6,X6),X5),w,extension(extension(w,X7,w,X7),X7,extension(w,X7,w,X7),X7))
| extension(X1,extension(v,w,X2,X3),extension(X4,X5,X6,X6),X5) = extension(extension(w,X7,w,X7),X7,extension(w,X7,w,X7),X7) ),
inference(scs_inference,[],[i_0_108,i_0_249,i_0_199,i_0_192,i_0_488,i_0_658,i_0_287,i_0_760,i_0_278,i_0_190,i_0_129,i_0_738,i_0_742,i_0_127,i_0_737,i_0_614,i_0_676,i_0_679,i_0_703,i_0_660,i_0_610,i_0_570,i_0_578,i_0_645,i_0_201,i_0_544,i_0_89,i_0_99,i_0_76,i_0_82,i_0_79,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_111,i_0_120,i_0_121,i_0_122,i_0_70,i_0_97,i_0_83]) ).
cnf(i_0_767,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),X7)),
inference(rename_variables,[],[i_0_544]) ).
cnf(i_0_768,plain,
between(X1,X2,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_769,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_770,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_772,plain,
extension(X1,X2,extension(X2,X2,X2,X2),X2) = extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),
inference(scs_inference,[],[i_0_758,i_0_89]) ).
cnf(i_0_773,plain,
equidistant(extension(X1,X2,X3,X2),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),X3,extension(X2,X2,X2,X2)),
inference(rename_variables,[],[i_0_758]) ).
cnf(i_0_774,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_775,plain,
between(extension(v,w,w,extension(X1,w,X2,X2)),w,X3),
inference(scs_inference,[],[i_0_758,i_0_744,i_0_89,i_0_99]) ).
cnf(i_0_776,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_777,plain,
equidistant(X1,X1,extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1))),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_744,i_0_89,i_0_99,i_0_76]) ).
cnf(i_0_778,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_779,plain,
equidistant(extension(X1,X2,X2,extension(X2,X2,X2,X2)),extension(X2,X2,X2,X2),X2,X2),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79]) ).
cnf(i_0_780,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_781,plain,
equidistant(extension(X1,X1,X1,X1),extension(X2,X1,X1,extension(X1,X1,X1,X1)),X1,X1),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82]) ).
cnf(i_0_782,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_783,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X3,X1),X3,extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_773,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77]) ).
cnf(i_0_784,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_785,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X3,X1),extension(X1,X1,X1,X1),X3),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_773,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78]) ).
cnf(i_0_786,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_787,plain,
equidistant(X1,extension(X2,X2,X2,X2),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X3,X2,X1,X2)),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_773,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80]) ).
cnf(i_0_788,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_789,plain,
equidistant(extension(X1,X1,X1,X1),X2,extension(X3,X1,X2,X1),extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_740,i_0_758,i_0_773,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_790,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_791,plain,
extension(X1,w,w,extension(w,w,w,w)) = extension(extension(w,w,w,w),w,extension(w,w,w,w),w),
inference(scs_inference,[],[i_0_716,i_0_740,i_0_758,i_0_773,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110]) ).
cnf(i_0_792,plain,
equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),X2,X6,X6),
inference(scs_inference,[],[i_0_716,i_0_129,i_0_182,i_0_740,i_0_758,i_0_773,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71]) ).
cnf(i_0_793,plain,
equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_794,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_795,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_796,plain,
equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X1,X2,X3,X3)),
inference(scs_inference,[],[i_0_716,i_0_129,i_0_794,i_0_182,i_0_740,i_0_758,i_0_773,i_0_450,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72]) ).
cnf(i_0_797,plain,
equidistant(extension(X1,X2,extension(X3,X4,X2,X2),extension(X3,X4,X2,X2)),X2,extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),extension(X3,X4,X2,X2)),
inference(rename_variables,[],[i_0_450]) ).
cnf(i_0_798,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_799,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_800,plain,
~ between(extension(w,v,X1,X2),w,extension(X3,extension(w,v,X1,X2),X4,extension(X5,X4,X6,X6))),
inference(scs_inference,[],[i_0_591,i_0_716,i_0_636,i_0_129,i_0_794,i_0_182,i_0_740,i_0_758,i_0_773,i_0_450,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_801,plain,
X1 = extension(X2,X1,X3,extension(X4,X3,X5,X5)),
inference(rename_variables,[],[i_0_591]) ).
cnf(i_0_802,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_803,plain,
~ between(extension(X1,v,X2,X2),w,extension(X3,extension(w,v,X4,X5),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6))),
inference(scs_inference,[],[i_0_126,i_0_591,i_0_716,i_0_690,i_0_636,i_0_129,i_0_794,i_0_182,i_0_740,i_0_758,i_0_773,i_0_450,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120]) ).
cnf(i_0_804,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_805,plain,
~ between(v,extension(X1,w,X2,X2),extension(X3,extension(w,v,X4,X5),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6))),
inference(scs_inference,[],[i_0_126,i_0_804,i_0_591,i_0_716,i_0_690,i_0_636,i_0_129,i_0_794,i_0_182,i_0_740,i_0_758,i_0_773,i_0_450,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121]) ).
cnf(i_0_806,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_807,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),v),
inference(scs_inference,[],[i_0_484,i_0_126,i_0_804,i_0_591,i_0_716,i_0_690,i_0_636,i_0_129,i_0_794,i_0_182,i_0_740,i_0_758,i_0_773,i_0_450,i_0_642,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_808,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),extension(X2,w,X3,X3),extension(extension(v,X4,v,X4),X4,extension(v,X4,v,X4),X4)),
inference(rename_variables,[],[i_0_642]) ).
cnf(i_0_809,plain,
X1 = extension(X2,X1,extension(X3,X4,X5,X5),X4),
inference(rename_variables,[],[i_0_484]) ).
cnf(i_0_810,plain,
equidistant(extension(w,extension(X1,w,X2,X2),w,extension(X1,w,X2,X2)),extension(X1,w,X2,X2),extension(X1,w,X2,X2),extension(X3,w,X4,X4)),
inference(scs_inference,[],[i_0_484,i_0_126,i_0_804,i_0_591,i_0_716,i_0_690,i_0_636,i_0_154,i_0_231,i_0_129,i_0_794,i_0_131,i_0_182,i_0_152,i_0_740,i_0_758,i_0_773,i_0_450,i_0_642,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122,i_0_70]) ).
cnf(i_0_811,plain,
equidistant(X1,X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_812,plain,
between(extension(X1,X2,X1,X2),X2,extension(X3,X1,X4,X4)),
inference(rename_variables,[],[i_0_231]) ).
cnf(i_0_813,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_814,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_815,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_816,plain,
( X1 = extension(X2,extension(X3,X1,X4,X5),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6))
| ~ between(X1,extension(X2,extension(X3,X1,X4,X5),extension(extension(X6,X6,X6,X6),X6,extension(X6,X6,X6,X6),X6),extension(X6,X6,X6,X6)),X3) ),
inference(scs_inference,[],[i_0_484,i_0_126,i_0_804,i_0_591,i_0_716,i_0_690,i_0_636,i_0_154,i_0_231,i_0_129,i_0_794,i_0_131,i_0_182,i_0_152,i_0_740,i_0_758,i_0_773,i_0_450,i_0_719,i_0_642,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122,i_0_70,i_0_97]) ).
cnf(i_0_817,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_818,plain,
( extension(X1,extension(X2,w,X3,X3),X4,X4) = w
| extension(extension(X2,w,X3,X3),w,extension(X2,w,X3,X3),w) = extension(X2,w,X3,X3) ),
inference(scs_inference,[],[i_0_484,i_0_126,i_0_804,i_0_591,i_0_716,i_0_690,i_0_636,i_0_154,i_0_813,i_0_231,i_0_495,i_0_129,i_0_794,i_0_131,i_0_182,i_0_127,i_0_152,i_0_740,i_0_758,i_0_773,i_0_450,i_0_719,i_0_642,i_0_744,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122,i_0_70,i_0_97,i_0_83]) ).
cnf(i_0_819,plain,
between(extension(X1,X2,X3,X3),X4,extension(X2,X4,X2,X4)),
inference(rename_variables,[],[i_0_495]) ).
cnf(i_0_820,plain,
between(X1,w,extension(X2,w,X3,X3)),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_821,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_822,plain,
( ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4)
| X1 = X2
| X3 = X4 ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_823,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_825,plain,
extension(X1,X2,X2,extension(X2,X2,X2,X2)) = extension(X2,X2,X2,X2),
inference(scs_inference,[],[i_0_779,i_0_89]) ).
cnf(i_0_826,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_827,plain,
between(v,w,u),
inference(scs_inference,[],[i_0_779,i_0_106,i_0_89,i_0_99]) ).
cnf(i_0_828,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_829,plain,
equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2)),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_106,i_0_89,i_0_99,i_0_76]) ).
cnf(i_0_830,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_831,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X3,X3),extension(X2,X1,X3,X3),extension(X2,X1,X3,X3)),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79]) ).
cnf(i_0_832,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_833,plain,
equidistant(extension(X1,X2,X3,X3),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82]) ).
cnf(i_0_834,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_835,plain,
equidistant(extension(X1,X2,X3,X2),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),extension(X2,X2,X2,X2),X3),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_785,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77]) ).
cnf(i_0_836,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_837,plain,
equidistant(extension(X1,X2,extension(X3,X3,X3,X3),X3),extension(X2,X2,X2,X2),X3,extension(X3,X3,X3,X3)),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_785,i_0_727,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78]) ).
cnf(i_0_838,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_839,plain,
equidistant(X1,extension(X2,X2,X2,X2),extension(X3,X2,X1,X2),extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2)),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80]) ).
cnf(i_0_840,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_841,plain,
equidistant(extension(X1,X1,X1,X1),X2,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X3,X1,X2,X1)),
inference(scs_inference,[],[i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_842,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_843,plain,
extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1) = extension(X2,X1,extension(X1,X1,X1,X1),X1),
inference(scs_inference,[],[i_0_772,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110]) ).
cnf(i_0_844,plain,
equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X3,X4),X6),
inference(scs_inference,[],[i_0_772,i_0_129,i_0_135,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71]) ).
cnf(i_0_845,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_846,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_847,plain,
equidistant(X1,X1,extension(X2,X3,extension(X1,X1,X1,X1),X1),extension(X3,X3,X3,X3)),
inference(scs_inference,[],[i_0_772,i_0_129,i_0_75,i_0_135,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72]) ).
cnf(i_0_848,plain,
equidistant(X1,extension(X1,X1,X1,X1),extension(X2,X3,extension(X1,X1,X1,X1),X1),extension(X3,X3,X3,X3)),
inference(rename_variables,[],[i_0_733]) ).
cnf(i_0_849,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_850,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_851,plain,
~ between(extension(w,v,X1,X2),w,extension(X3,extension(w,v,X1,X2),extension(extension(X4,X4,X4,X4),X4,extension(X4,X4,X4,X4),X4),extension(X4,X4,X4,X4))),
inference(scs_inference,[],[i_0_735,i_0_772,i_0_690,i_0_129,i_0_75,i_0_135,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_852,plain,
X1 = extension(X2,X1,extension(extension(X3,X3,X3,X3),X3,extension(X3,X3,X3,X3),X3),extension(X3,X3,X3,X3)),
inference(rename_variables,[],[i_0_735]) ).
cnf(i_0_853,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_854,plain,
~ between(extension(X1,v,X2,X2),w,extension(X3,extension(w,v,X4,X5),extension(X6,X7,X8,X8),X7)),
inference(scs_inference,[],[i_0_199,i_0_735,i_0_772,i_0_690,i_0_129,i_0_75,i_0_135,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_638,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120]) ).
cnf(i_0_855,plain,
~ between(extension(extension(v,X1,v,X1),X1,extension(v,X1,v,X1),X1),w,extension(X2,extension(w,v,X3,X4),extension(X5,X6,X7,X7),X6)),
inference(rename_variables,[],[i_0_638]) ).
cnf(i_0_856,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_857,plain,
~ between(extension(X1,v,X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(w,v,w,v)),
inference(scs_inference,[],[i_0_199,i_0_249,i_0_735,i_0_772,i_0_690,i_0_129,i_0_75,i_0_135,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_750,i_0_638,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121]) ).
cnf(i_0_858,plain,
~ between(extension(X1,v,X2,X2),extension(X3,w,X4,X4),extension(w,v,w,v)),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_859,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = extension(X3,X1,X4,X4),
inference(rename_variables,[],[i_0_249]) ).
cnf(i_0_860,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,X4)),
inference(scs_inference,[],[i_0_199,i_0_856,i_0_249,i_0_735,i_0_772,i_0_690,i_0_129,i_0_75,i_0_135,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_750,i_0_638,i_0_756,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_861,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(extension(lower_dimension_point_1,X3,lower_dimension_point_1,X3),X3,extension(lower_dimension_point_1,X3,lower_dimension_point_1,X3),X3)),
inference(rename_variables,[],[i_0_756]) ).
cnf(i_0_862,plain,
extension(X1,X2,X3,X3) = extension(extension(X2,X4,X2,X4),X4,extension(X2,X4,X2,X4),X4),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_863,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X2,extension(extension(X3,X4,X1,X2),extension(X3,X4,X1,X2),extension(X3,X4,X1,X2),extension(X3,X4,X1,X2)),X4),
inference(scs_inference,[],[i_0_199,i_0_856,i_0_249,i_0_735,i_0_772,i_0_690,i_0_343,i_0_289,i_0_129,i_0_75,i_0_135,i_0_845,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_505,i_0_750,i_0_638,i_0_756,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122,i_0_70]) ).
cnf(i_0_864,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_865,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_866,plain,
between(extension(X1,X1,X1,X1),X1,X2),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_867,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1,extension(X2,X3,X4,X4),X3),
inference(rename_variables,[],[i_0_505]) ).
cnf(i_0_868,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_869,plain,
( X1 = extension(X2,extension(X3,X1,X4,X5),X6,extension(X7,X6,X8,X8))
| ~ between(X1,extension(X2,extension(X3,X1,X4,X5),X6,extension(X7,X6,X8,X8)),X3) ),
inference(scs_inference,[],[i_0_199,i_0_856,i_0_249,i_0_735,i_0_772,i_0_690,i_0_343,i_0_289,i_0_129,i_0_75,i_0_135,i_0_845,i_0_796,i_0_779,i_0_783,i_0_785,i_0_727,i_0_733,i_0_505,i_0_662,i_0_750,i_0_638,i_0_756,i_0_106,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_110,i_0_71,i_0_72,i_0_98,i_0_120,i_0_121,i_0_122,i_0_70,i_0_97]) ).
cnf(i_0_870,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_871,plain,
~ between(extension(X1,extension(w,v,w,v),X2,X2),extension(extension(w,X3,w,X3),X3,extension(w,X3,w,X3),X3),extension(w,v,w,v)),
inference(rename_variables,[],[i_0_753]) ).
cnf(i_0_872,plain,
between(X1,extension(X2,X3,X4,X4),extension(X3,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4))),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_873,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_874,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_875,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_75]) ).
cnf(i_0_877,plain,
extension(X1,X1,X1,X1) = extension(X2,X1,X1,extension(X1,X1,X1,X1)),
inference(scs_inference,[],[i_0_781,i_0_89]) ).
cnf(i_0_878,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_879,plain,
between(w,v,u),
inference(scs_inference,[],[i_0_781,i_0_107,i_0_89,i_0_99]) ).
cnf(i_0_880,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_881,plain,
equidistant(X1,X1,extension(X2,X2,X2,X2),extension(X3,X2,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_847,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76]) ).
cnf(i_0_882,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_76]) ).
cnf(i_0_883,plain,
equidistant(X1,extension(X1,X1,X1,X1),extension(X2,X2,X2,X2),extension(X3,X2,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_729,i_0_847,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79]) ).
cnf(i_0_884,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_885,plain,
equidistant(extension(X1,X1,X1,X1),X1,extension(X2,X3,extension(X1,X1,X1,X1),X1),extension(X3,X3,X3,X3)),
inference(scs_inference,[],[i_0_729,i_0_847,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82]) ).
cnf(i_0_886,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_887,plain,
equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,X4),X6),
inference(scs_inference,[],[i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77]) ).
cnf(i_0_888,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_889,plain,
equidistant(X1,extension(X2,X1,X3,X4),X5,extension(X6,X5,X3,X4)),
inference(scs_inference,[],[i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78]) ).
cnf(i_0_890,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_891,plain,
equidistant(extension(X1,X2,extension(X3,X3,X3,X3),X3),extension(X2,X2,X2,X2),X3,X3),
inference(scs_inference,[],[i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80]) ).
cnf(i_0_892,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_80]) ).
cnf(i_0_893,plain,
equidistant(extension(X1,X1,X1,X1),X1,extension(X2,X2,X2,X2),extension(X3,X2,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81]) ).
cnf(i_0_894,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_81]) ).
cnf(i_0_895,plain,
equidistant(extension(X1,X2,extension(X3,X4,X4,extension(X4,X4,X4,X4)),extension(X4,X4,X4,X4)),X2,X4,extension(X4,X4,X4,X4)),
inference(scs_inference,[],[i_0_129,i_0_618,i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71]) ).
cnf(i_0_896,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_897,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_71]) ).
cnf(i_0_898,plain,
equidistant(X1,X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X1,X1)),
inference(scs_inference,[],[i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72]) ).
cnf(i_0_899,plain,
equidistant(extension(X1,X1,X1,X1),X2,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X3,X1,X2,X1)),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_900,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_901,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_72]) ).
cnf(i_0_902,plain,
between(X1,w,extension(X2,w,w,extension(w,w,w,w))),
inference(scs_inference,[],[i_0_716,i_0_343,i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98]) ).
cnf(i_0_903,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_904,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_905,plain,
w = v,
inference(scs_inference,[],[i_0_716,i_0_343,i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_107,i_0_827,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97]) ).
cnf(i_0_906,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_907,plain,
extension(w,v,w,v) != w,
inference(scs_inference,[],[i_0_716,i_0_343,i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_329,i_0_107,i_0_827,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97,i_0_111]) ).
cnf(i_0_908,plain,
~ between(v,extension(X1,w,extension(X2,X3,X4,X4),X3),extension(X5,extension(w,v,X6,X7),extension(X8,X9,X10,X10),X9)),
inference(scs_inference,[],[i_0_511,i_0_716,i_0_573,i_0_343,i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_329,i_0_107,i_0_827,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97,i_0_111,i_0_121]) ).
cnf(i_0_909,plain,
extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_910,plain,
~ between(extension(X1,v,extension(X2,X3,X4,X4),X3),w,extension(X5,extension(w,v,X6,X7),extension(X8,X9,X10,X10),X9)),
inference(scs_inference,[],[i_0_511,i_0_909,i_0_716,i_0_573,i_0_343,i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_329,i_0_107,i_0_827,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97,i_0_111,i_0_121,i_0_120]) ).
cnf(i_0_911,plain,
extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_912,plain,
~ between(v,w,extension(X1,v,extension(X2,X3,X4,X4),X3)),
inference(scs_inference,[],[i_0_511,i_0_909,i_0_911,i_0_716,i_0_573,i_0_145,i_0_343,i_0_129,i_0_896,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_329,i_0_107,i_0_827,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97,i_0_111,i_0_121,i_0_120,i_0_122]) ).
cnf(i_0_913,plain,
extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
inference(rename_variables,[],[i_0_511]) ).
cnf(i_0_914,plain,
equidistant(extension(X1,extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1)),X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1),
inference(scs_inference,[],[i_0_511,i_0_909,i_0_911,i_0_716,i_0_573,i_0_145,i_0_440,i_0_343,i_0_903,i_0_129,i_0_896,i_0_900,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_329,i_0_107,i_0_827,i_0_250,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97,i_0_111,i_0_121,i_0_120,i_0_122,i_0_70]) ).
cnf(i_0_915,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_916,plain,
between(extension(X1,extension(X2,X1,X3,X3),X1,extension(X2,X1,X3,X3)),extension(X2,X1,X3,X3),X4),
inference(rename_variables,[],[i_0_440]) ).
cnf(i_0_917,plain,
between(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X1,X3),
inference(rename_variables,[],[i_0_343]) ).
cnf(i_0_918,plain,
equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),X6),
inference(rename_variables,[],[i_0_250]) ).
cnf(i_0_919,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X5,X1,X2)
| ~ between(X6,X3,X4)
| equidistant(X5,X2,X6,X4)
| ~ equidistant(X5,X1,X6,X3) ),
inference(rename_variables,[],[i_0_70]) ).
cnf(i_0_920,plain,
$false,
inference(scs_inference,[],[i_0_108,i_0_511,i_0_909,i_0_911,i_0_716,i_0_573,i_0_145,i_0_440,i_0_343,i_0_903,i_0_129,i_0_896,i_0_900,i_0_618,i_0_841,i_0_729,i_0_847,i_0_844,i_0_781,i_0_329,i_0_107,i_0_827,i_0_250,i_0_89,i_0_99,i_0_76,i_0_79,i_0_82,i_0_77,i_0_78,i_0_80,i_0_81,i_0_71,i_0_72,i_0_98,i_0_97,i_0_111,i_0_121,i_0_120,i_0_122,i_0_70,i_0_110]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO041-3 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n008.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:37:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.04/1.62 % Version : CSE_E---1.7
% 1.04/1.62 % Problem : theBenchmark.p
% 1.04/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 1.04/1.62 % SZS output start CNFRefutation
% See solution above
% 2.34/3.00 % Total time : 1.272s
%------------------------------------------------------------------------------