%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO067-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n015.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 04:19:13 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.73s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_100)
% 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(i2_3,axiom,
( equidistant(X2,X3,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i2_3) ).
cnf(insertion,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-3.ax',insertion) ).
cnf(i2_2,axiom,
( between(X4,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i2_2) ).
cnf(i4,axiom,
( insertion(X5,X6,X1,X2) = insertion(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i4) ).
cnf(i2_1,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i2_1) ).
cnf(r6,axiom,
X1 = reflection(reflection(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r6) ).
cnf(i3,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i3) ).
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(b10,axiom,
( between(X6,inner_pasch(X5,inner_pasch(X1,X6,X4,X5,X3),X1,X2,X3),X3)
| between(X2,inner_pasch(X5,inner_pasch(X1,X6,X4,X5,X3),X1,X2,X3),X5)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3)
| ~ between(X1,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b10) ).
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(d12,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12) ).
cnf(d14,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14) ).
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(b11,axiom,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b11) ).
cnf(e3_2,axiom,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_2) ).
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(d13,axiom,
( equidistant(X2,X3,X5,X6)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X1,X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13) ).
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(d11,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X2,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11) ).
cnf(d15,axiom,
( X2 = X4
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,X1,X4)
| ~ equidistant(X3,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d15) ).
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(e3_3,axiom,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_3) ).
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(b15,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b15) ).
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(e3_1,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e3_1) ).
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(part_2,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_2) ).
cnf(t8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8) ).
cnf(b12,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b12) ).
cnf(b13,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b13) ).
cnf(t7,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7) ).
cnf(t9,axiom,
( between(X1,X2,X4)
| between(X1,X4,X2)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9) ).
cnf(b14,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b14) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
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(part_1,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_1) ).
cnf(b7,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b7) ).
cnf(b6,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).
cnf(b9,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).
cnf(b8,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).
cnf(t6_2,axiom,
( X1 = X2
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_2) ).
cnf(t6_1,axiom,
( X1 = X2
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_1) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).
cnf(b3,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).
cnf(b1,axiom,
( between(X4,X2,X3)
| ~ between(X1,X2,X3)
| X1 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b1) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(t10_3,axiom,
( colinear(X1,X3,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_3) ).
cnf(c2_2,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_2) ).
cnf(t10_5,axiom,
( colinear(X2,X1,X3)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_5) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_3) ).
cnf(t10_2,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(t10_4,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_4) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).
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(t11,axiom,
~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11) ).
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(e2_2,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e2_2) ).
cnf(e2_3,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e2_3) ).
cnf(e2_1,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e2_1) ).
cnf(i_0_97,axiom,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
r5 ).
cnf(i_0_98,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(i_0_99,axiom,
( equidistant(X2,X3,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_3 ).
cnf(i_0_100,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
insertion ).
cnf(i_0_101,axiom,
( between(X4,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_2 ).
cnf(i_0_102,axiom,
( insertion(X5,X6,X1,X2) = insertion(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
i4 ).
cnf(i_0_103,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
i2_1 ).
cnf(i_0_104,axiom,
X1 = reflection(reflection(X1,X2),X2),
r6 ).
cnf(i_0_105,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
i3 ).
cnf(i_0_106,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
r2_2 ).
cnf(i_0_107,axiom,
between(X1,X2,reflection(X1,X2)),
r2_1 ).
cnf(i_0_108,axiom,
( X2 = X1
| X1 != reflection(X2,X1) ),
r4 ).
cnf(i_0_109,axiom,
( X2 = reflection(X1,X2)
| X1 != X2 ),
r3_1 ).
cnf(i_0_110,axiom,
X1 = reflection(X1,X1),
r3_2 ).
cnf(i_0_111,axiom,
( between(X6,inner_pasch(X5,inner_pasch(X1,X6,X4,X5,X3),X1,X2,X3),X3)
| between(X2,inner_pasch(X5,inner_pasch(X1,X6,X4,X5,X3),X1,X2,X3),X5)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3)
| ~ between(X1,X6,X4) ),
b10,
[final] ).
cnf(i_0_112,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_113,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_114,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_115,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_97,c_0_98]),c_0_98]),
[final] ).
cnf(i_0_116,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_117,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_118,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_119,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_120,plain,
( equidistant(X2,X3,extension(extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
inference(rw,[status(thm)],[i_0_99,c_0_100]),
[final] ).
cnf(i_0_121,plain,
( between(X4,extension(extension(X5,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
inference(rw,[status(thm)],[i_0_101,c_0_100]),
[final] ).
cnf(i_0_122,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_123,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d12,
[final] ).
cnf(i_0_124,axiom,
( equidistant(X2,X7,X4,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X5,X7,X6,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
d14,
[final] ).
cnf(i_0_125,plain,
( extension(extension(X6,X5,lower_dimension_point_1,lower_dimension_point_2),X5,X1,X2) = extension(extension(X6,X5,lower_dimension_point_1,lower_dimension_point_2),X5,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_102,c_0_100]),c_0_100]),
[final] ).
cnf(i_0_126,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rw,[status(thm)],[i_0_103,c_0_100]),
[final] ).
cnf(i_0_127,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_128,axiom,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
b11,
[final] ).
cnf(i_0_129,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_104,c_0_98]),c_0_98]),
[final] ).
cnf(i_0_130,axiom,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
e3_2,
[final] ).
cnf(i_0_131,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_132,axiom,
( equidistant(X2,X3,X5,X6)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X6)
| ~ equidistant(X1,X2,X4,X5)
| ~ equidistant(X1,X3,X4,X6) ),
d13,
[final] ).
cnf(i_0_133,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
d5,
[final] ).
cnf(i_0_134,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance,
[final] ).
cnf(i_0_135,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
d10_2,
[final] ).
cnf(i_0_136,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d11,
[final] ).
cnf(i_0_137,axiom,
( X2 = X4
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,X1,X4)
| ~ equidistant(X3,X2,X3,X4) ),
d15,
[final] ).
cnf(i_0_138,plain,
( X2 = extension(extension(X3,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X1,X2)
| ~ between(X1,X2,X3) ),
inference(rw,[status(thm)],[i_0_105,c_0_100]),
[final] ).
cnf(i_0_139,plain,
equidistant(X1,extension(X2,X1,X2,X1),X2,X1),
inference(rw,[status(thm)],[i_0_106,c_0_98]),
[final] ).
cnf(i_0_140,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2,
[final] ).
cnf(i_0_141,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1,
[final] ).
cnf(i_0_142,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3,
[final] ).
cnf(i_0_143,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2,
[final] ).
cnf(i_0_144,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2,
[final] ).
cnf(i_0_145,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3,
[final] ).
cnf(i_0_146,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4,
[final] ).
cnf(i_0_147,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5,
[final] ).
cnf(i_0_148,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d9,
[final] ).
cnf(i_0_149,plain,
between(X1,X2,extension(X1,X2,X1,X2)),
inference(rw,[status(thm)],[i_0_107,c_0_98]),
[final] ).
cnf(i_0_150,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1,
[final] ).
cnf(i_0_151,axiom,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
e3_3,
[final] ).
cnf(i_0_152,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
d10_3,
[final] ).
cnf(i_0_153,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,X1,X3) ),
b15,
[final] ).
cnf(i_0_154,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
b0,
[final] ).
cnf(i_0_155,plain,
( X1 = X2
| X1 != extension(X2,X1,X2,X1) ),
inference(rw,[status(thm)],[i_0_108,c_0_98]),
[final] ).
cnf(i_0_156,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance,
[final] ).
cnf(i_0_157,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
e3_1,
[final] ).
cnf(i_0_158,axiom,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
d10_1,
[final] ).
cnf(i_0_159,negated_conjecture,
( ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x)
| ~ colinear(x,z,y) ),
part_2,
[final] ).
cnf(i_0_160,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
t8,
[final] ).
cnf(i_0_161,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b12,
[final] ).
cnf(i_0_162,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b13,
[final] ).
cnf(i_0_163,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
t7,
[final] ).
cnf(i_0_164,axiom,
( between(X1,X2,X4)
| between(X1,X4,X2)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
t9,
[final] ).
cnf(i_0_165,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
b14,
[final] ).
cnf(i_0_166,plain,
( X2 = extension(X1,X2,X1,X2)
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_109,c_0_98]),
[final] ).
cnf(i_0_167,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4,
[final] ).
cnf(i_0_168,plain,
X1 = extension(X1,X1,X1,X1),
inference(rw,[status(thm)],[i_0_110,c_0_98]),
[final] ).
cnf(i_0_169,axiom,
X1 = extension(X2,X1,X3,X3),
e1,
[final] ).
cnf(i_0_170,axiom,
equidistant(X1,X1,X2,X2),
d7,
[final] ).
cnf(i_0_171,axiom,
equidistant(X1,X2,X1,X2),
d1,
[final] ).
cnf(i_0_172,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance,
[final] ).
cnf(i_0_173,negated_conjecture,
( x = y
| ~ colinear(x,x,y)
| ~ colinear(x,y,x)
| ~ colinear(y,x,x) ),
part_1,
[final] ).
cnf(i_0_174,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b7,
[final] ).
cnf(i_0_175,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b6,
[final] ).
cnf(i_0_176,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b9,
[final] ).
cnf(i_0_177,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
b8,
[final] ).
cnf(i_0_178,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5,
[final] ).
cnf(i_0_179,axiom,
( X1 = X2
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
t6_2,
[final] ).
cnf(i_0_180,axiom,
( X1 = X2
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
t6_1,
[final] ).
cnf(i_0_181,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2,
[final] ).
cnf(i_0_182,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
b3,
[final] ).
cnf(i_0_183,axiom,
( between(X4,X2,X3)
| ~ between(X1,X2,X3)
| X1 != X3 ),
b1,
[final] ).
cnf(i_0_184,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1,
[final] ).
cnf(i_0_185,axiom,
( colinear(X1,X3,X2)
| ~ colinear(X1,X2,X3) ),
t10_3,
[final] ).
cnf(i_0_186,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c2_2,
[final] ).
cnf(i_0_187,axiom,
( colinear(X2,X1,X3)
| ~ colinear(X1,X2,X3) ),
t10_5,
[final] ).
cnf(i_0_188,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3,
[final] ).
cnf(i_0_189,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
t10_2,
[final] ).
cnf(i_0_190,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3,
[final] ).
cnf(i_0_191,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4,
[final] ).
cnf(i_0_192,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2,
[final] ).
cnf(i_0_193,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1,
[final] ).
cnf(i_0_194,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1,
[final] ).
cnf(i_0_195,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1,
[final] ).
cnf(i_0_196,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness,
[final] ).
cnf(i_0_197,axiom,
~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
t11,
[final] ).
cnf(i_0_198,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
lower_dimension3,
[final] ).
cnf(i_0_199,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
lower_dimension2,
[final] ).
cnf(i_0_200,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
lower_dimension1,
[final] ).
cnf(i_0_201,axiom,
between(X1,X1,X2),
t2,
[final] ).
cnf(i_0_202,axiom,
between(X1,X2,X2),
t3,
[final] ).
cnf(i_0_203,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
e2_2,
[final] ).
cnf(i_0_204,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
e2_3,
[final] ).
cnf(i_0_205,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
e2_1,
[final] ).
cnf(i_0_206,axiom,
X1 = X1 ).
cnf(i_0_207,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_208,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_209,axiom,
( X1 != X2
| extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).
cnf(i_0_210,axiom,
( X1 != X2
| extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).
cnf(i_0_211,axiom,
( X1 != X2
| extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).
cnf(i_0_212,axiom,
( X1 != X2
| extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).
cnf(i_0_213,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_214,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_215,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_216,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_217,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_218,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_219,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_220,axiom,
( X1 != X2
| ~ colinear(X1,X3,X4)
| colinear(X2,X3,X4) ) ).
cnf(i_0_221,axiom,
( X1 != X2
| ~ colinear(X3,X1,X4)
| colinear(X3,X2,X4) ) ).
cnf(i_0_222,axiom,
( X1 != X2
| ~ colinear(X3,X4,X1)
| colinear(X3,X4,X2) ) ).
cnf(i_0_206_001,axiom,
X1 = X1 ).
cnf(i_0_207_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_208_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_209_004,axiom,
( X1 != X2
| extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).
cnf(i_0_210_005,axiom,
( X1 != X2
| extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).
cnf(i_0_211_006,axiom,
( X1 != X2
| extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).
cnf(i_0_212_007,axiom,
( X1 != X2
| extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).
cnf(i_0_213_008,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_214_009,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_215_010,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_216_011,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_217_012,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_218_013,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_219_014,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_220_015,axiom,
( X1 != X2
| ~ colinear(X1,X3,X4)
| colinear(X2,X3,X4) ) ).
cnf(i_0_221_016,axiom,
( X1 != X2
| ~ colinear(X3,X1,X4)
| colinear(X3,X2,X4) ) ).
cnf(i_0_222_017,axiom,
( X1 != X2
| ~ colinear(X3,X4,X1)
| colinear(X3,X4,X2) ) ).
cnf(i_0_223,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_inference,[],[154]) ).
cnf(i_0_224,plain,
X1 = extension(X1,X1,X1,X1),
inference(equality_inference,[],[166]) ).
cnf(i_0_225,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X3) ),
inference(equality_inference,[],[183]) ).
cnf(i_0_226,plain,
colinear(X1,X1,X2),
inference(scs_inference,[],[i_0_201,i_0_184]) ).
cnf(i_0_227,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_228,plain,
colinear(X1,X2,X1),
inference(scs_inference,[],[i_0_201,i_0_184,i_0_185]) ).
cnf(i_0_229,plain,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_185]) ).
cnf(i_0_230,plain,
colinear(X1,X2,X2),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_184,i_0_185,i_0_186]) ).
cnf(i_0_231,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_186]) ).
cnf(i_0_232,plain,
colinear(X1,X2,extension(X2,X1,X3,X4)),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_184,i_0_185,i_0_186,i_0_188]) ).
cnf(i_0_233,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_234,plain,
colinear(X1,extension(X1,X2,X3,X4),X2),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189]) ).
cnf(i_0_235,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_236,plain,
colinear(X1,extension(X2,X1,X3,X4),X2),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190]) ).
cnf(i_0_237,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_238,plain,
colinear(extension(X1,X2,X3,X4),X2,X1),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191]) ).
cnf(i_0_239,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_240,plain,
colinear(extension(X1,X2,X3,X4),X1,X2),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192]) ).
cnf(i_0_241,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_242,plain,
colinear(X1,X2,extension(X1,X2,X3,X4)),
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193]) ).
cnf(i_0_243,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_244,plain,
extension(X1,X2,X3,X3) = X2,
inference(scs_inference,[],[i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207]) ).
cnf(i_0_245,plain,
equidistant(X1,X2,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X1),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141]) ).
cnf(i_0_246,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_247,plain,
equidistant(X1,X2,X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142]) ).
cnf(i_0_248,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_249,plain,
equidistant(X1,X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143]) ).
cnf(i_0_250,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_251,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X1,X2),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144]) ).
cnf(i_0_252,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_253,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X2,X1),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145]) ).
cnf(i_0_254,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_255,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,X2,X1),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146]) ).
cnf(i_0_256,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_257,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,X1,X2),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147]) ).
cnf(i_0_258,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_259,plain,
between(extension(X1,X2,X1,X2),X2,X1),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154]) ).
cnf(i_0_260,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_261,plain,
extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1) = X1,
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156]) ).
cnf(i_0_262,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_263,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195]) ).
cnf(i_0_264,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_265,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183]) ).
cnf(i_0_266,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_267,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_268,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_269,plain,
X1 = extension(X2,extension(extension(X1,X3,X1,X3),X3,extension(X1,X3,X1,X3),X3),X4,X4),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208]) ).
cnf(i_0_270,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_271,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_198,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213]) ).
cnf(i_0_272,plain,
~ between(lower_dimension_point_3,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),lower_dimension_point_2),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_198,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214]) ).
cnf(i_0_273,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215]) ).
cnf(i_0_274,plain,
~ colinear(extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220]) ).
cnf(i_0_275,plain,
lower_dimension_point_3 != lower_dimension_point_2,
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221]) ).
cnf(i_0_276,plain,
~ colinear(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2)),
inference(scs_inference,[],[i_0_115,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_277,plain,
equidistant(X1,X1,lower_dimension_point_1,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_115,i_0_170,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133]) ).
cnf(i_0_278,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_279,plain,
equidistant(X1,X1,X2,X2),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_280,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_281,plain,
equidistant(X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X2,X2),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134]) ).
cnf(i_0_282,plain,
equidistant(X1,X1,X2,X2),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_283,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_284,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_134]) ).
cnf(i_0_285,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176]) ).
cnf(i_0_286,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_287,plain,
( ~ between(X1,X2,X3)
| between(X1,X4,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_288,plain,
~ between(lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_2),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177]) ).
cnf(i_0_289,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X4,X1,X3) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_290,plain,
~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_202,i_0_150,i_0_169,i_0_266,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178]) ).
cnf(i_0_291,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_292,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_293,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4)),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_202,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181]) ).
cnf(i_0_294,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_295,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_296,plain,
~ between(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182]) ).
cnf(i_0_297,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_298,plain,
( ~ between(X1,X2,X3)
| X3 = X2
| ~ between(X1,X3,X2) ),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_299,plain,
~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160]) ).
cnf(i_0_300,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_301,plain,
( ~ between(X1,X2,X3)
| between(X1,X4,X3)
| ~ between(X1,X5,X3)
| ~ between(X5,X4,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_302,plain,
~ colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167]) ).
cnf(i_0_303,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ colinear(X3,X1,X2)
| between(X3,X1,X2) ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_304,plain,
colinear(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_3,X3),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167,i_0_194]) ).
cnf(i_0_305,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_306,plain,
( extension(X1,X2,X2,X3) = X3
| ~ between(X2,extension(X1,X2,X2,X3),X3) ),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_140,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167,i_0_194,i_0_153]) ).
cnf(i_0_307,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_308,plain,
( ~ equidistant(X1,X2,X1,X3)
| X2 = X3
| ~ between(X1,X2,X3) ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_309,plain,
colinear(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),X3),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_140,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167,i_0_194,i_0_153,i_0_187]) ).
cnf(i_0_310,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_311,plain,
( extension(X1,X2,X2,X3) = X3
| ~ between(X2,extension(X1,X2,X2,X3),X2) ),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_140,i_0_307,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167,i_0_194,i_0_153,i_0_187,i_0_137]) ).
cnf(i_0_312,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_313,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_314,plain,
( ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| X2 = X3
| ~ between(X1,X2,X4) ),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_315,plain,
( between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1)
| ~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1) ),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_202,i_0_300,i_0_140,i_0_307,i_0_150,i_0_169,i_0_266,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167,i_0_194,i_0_153,i_0_187,i_0_137,i_0_164]) ).
cnf(i_0_316,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_317,plain,
( between(X1,X2,X3)
| ~ between(X1,X2,X4)
| between(X1,X3,X2)
| ~ between(X1,X3,X4) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_318,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_319,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_320,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_321,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_322,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_323,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_324,plain,
( equidistant(X1,X2,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X1,X2))
| ~ between(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1)
| ~ equidistant(X1,X1,extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4) ),
inference(scs_inference,[],[i_0_115,i_0_278,i_0_283,i_0_170,i_0_279,i_0_201,i_0_267,i_0_286,i_0_291,i_0_297,i_0_320,i_0_202,i_0_300,i_0_316,i_0_140,i_0_307,i_0_150,i_0_294,i_0_169,i_0_266,i_0_126,i_0_157,i_0_197,i_0_198,i_0_199,i_0_200,i_0_129,i_0_184,i_0_185,i_0_186,i_0_188,i_0_189,i_0_190,i_0_191,i_0_192,i_0_193,i_0_207,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_146,i_0_147,i_0_154,i_0_156,i_0_195,i_0_183,i_0_208,i_0_213,i_0_214,i_0_215,i_0_220,i_0_221,i_0_222,i_0_133,i_0_134,i_0_176,i_0_177,i_0_178,i_0_181,i_0_182,i_0_160,i_0_167,i_0_194,i_0_187,i_0_164,i_0_131]) ).
cnf(i_0_325,plain,
~ colinear(x,z,y),
inference(scs_inference,[],[i_0_226,i_0_228,i_0_230,i_0_159]) ).
cnf(i_0_326,plain,
x = y,
inference(scs_inference,[],[i_0_226,i_0_228,i_0_230,i_0_173]) ).
cnf(i_0_327,plain,
colinear(X1,X2,extension(X3,X2,X4,X4)),
inference(scs_inference,[],[i_0_265,i_0_184]) ).
cnf(i_0_328,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_329,plain,
colinear(extension(X1,lower_dimension_point_3,X2,X2),X3,lower_dimension_point_3),
inference(scs_inference,[],[i_0_265,i_0_304,i_0_184,i_0_185]) ).
cnf(i_0_330,plain,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_185]) ).
cnf(i_0_331,plain,
colinear(X1,extension(X2,X3,X4,X4),X3),
inference(scs_inference,[],[i_0_265,i_0_304,i_0_184,i_0_185,i_0_186]) ).
cnf(i_0_332,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_186]) ).
cnf(i_0_333,plain,
equidistant(X1,X2,extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X1,X2),X4),
inference(scs_inference,[],[i_0_265,i_0_304,i_0_126,i_0_184,i_0_185,i_0_186,i_0_141]) ).
cnf(i_0_334,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_335,plain,
equidistant(X1,X2,extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X2,X1),X4),
inference(scs_inference,[],[i_0_265,i_0_304,i_0_126,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143]) ).
cnf(i_0_336,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_337,plain,
equidistant(extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X3,X4),X2,X3,X4),
inference(scs_inference,[],[i_0_265,i_0_304,i_0_126,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146]) ).
cnf(i_0_338,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_339,plain,
equidistant(extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X3,X4),X2,X4,X3),
inference(scs_inference,[],[i_0_265,i_0_304,i_0_126,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147]) ).
cnf(i_0_340,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_341,plain,
between(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,X6)),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154]) ).
cnf(i_0_342,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_343,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_344,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X2,X1)),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142]) ).
cnf(i_0_345,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_346,plain,
equidistant(X1,X1,X2,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2)),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144]) ).
cnf(i_0_347,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_348,plain,
equidistant(X1,extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145]) ).
cnf(i_0_349,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_350,plain,
colinear(X1,X2,extension(X3,X1,X4,X4)),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188]) ).
cnf(i_0_351,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_352,plain,
colinear(X1,extension(X2,X1,X3,X3),X4),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190]) ).
cnf(i_0_353,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_354,plain,
colinear(extension(X1,X2,X3,X3),X4,X2),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192]) ).
cnf(i_0_355,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_356,plain,
colinear(extension(X1,X2,X3,X3),X2,X4),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189]) ).
cnf(i_0_357,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_358,plain,
between(extension(X1,X2,X3,X3),X2,X4),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195]) ).
cnf(i_0_359,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_360,plain,
colinear(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,X2),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194]) ).
cnf(i_0_361,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_362,plain,
colinear(X1,extension(X2,extension(X3,X1,X4,X5),X6,X6),X3),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187]) ).
cnf(i_0_363,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_364,plain,
extension(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X4,X4) = X2,
inference(scs_inference,[],[i_0_244,i_0_265,i_0_269,i_0_304,i_0_126,i_0_281,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207]) ).
cnf(i_0_365,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_269,i_0_304,i_0_126,i_0_281,i_0_293,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176]) ).
cnf(i_0_366,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_367,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4)),
inference(rename_variables,[],[i_0_293]) ).
cnf(i_0_368,plain,
( ~ between(X1,X2,X3)
| between(X1,X4,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_369,plain,
~ between(extension(extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),lower_dimension_point_3,X1,X2),lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_269,i_0_304,i_0_273,i_0_126,i_0_263,i_0_281,i_0_293,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178]) ).
cnf(i_0_370,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_371,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_372,plain,
~ between(lower_dimension_point_3,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2)),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_263,i_0_281,i_0_293,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181]) ).
cnf(i_0_373,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_374,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_375,plain,
~ between(extension(lower_dimension_point_3,lower_dimension_point_2,X1,X2),lower_dimension_point_3,lower_dimension_point_2),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_263,i_0_370,i_0_281,i_0_293,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182]) ).
cnf(i_0_376,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_377,plain,
( ~ between(X1,X2,X3)
| X3 = X2
| ~ between(X1,X3,X2) ),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_378,plain,
~ between(lower_dimension_point_1,lower_dimension_point_3,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_263,i_0_370,i_0_281,i_0_293,i_0_129,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183]) ).
cnf(i_0_379,plain,
X1 = extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_380,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_381,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1))),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_263,i_0_370,i_0_281,i_0_293,i_0_129,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133]) ).
cnf(i_0_382,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_383,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_384,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_129,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134]) ).
cnf(i_0_385,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_386,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_134]) ).
cnf(i_0_387,plain,
X1 = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_201,i_0_129,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153]) ).
cnf(i_0_388,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_389,plain,
( ~ equidistant(X1,X2,X1,X3)
| X2 = X3
| ~ between(X1,X2,X3) ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_390,plain,
~ between(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X1,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177]) ).
cnf(i_0_391,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_392,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X4,X1,X3) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_393,plain,
lower_dimension_point_3 != extension(X1,lower_dimension_point_2,X2,X2),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208]) ).
cnf(i_0_394,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_395,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213]) ).
cnf(i_0_396,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_397,plain,
~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_265,i_0_366,i_0_269,i_0_304,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214]) ).
cnf(i_0_398,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_399,plain,
~ colinear(extension(X1,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),X2,X2),lower_dimension_point_2,lower_dimension_point_3),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_265,i_0_366,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220]) ).
cnf(i_0_400,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_401,plain,
~ colinear(extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_265,i_0_366,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221]) ).
cnf(i_0_402,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_403,plain,
~ colinear(extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_265,i_0_366,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_404,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_405,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),X2,X2)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215]) ).
cnf(i_0_406,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_407,plain,
between(extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_2,X4,X4)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_376,i_0_281,i_0_293,i_0_296,i_0_201,i_0_129,i_0_150,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174]) ).
cnf(i_0_408,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_409,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_410,plain,
( ~ between(X1,X2,X3)
| ~ between(X2,X3,X4)
| between(X1,X2,X4)
| X2 = X3 ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_411,plain,
~ colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_376,i_0_281,i_0_293,i_0_296,i_0_201,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167]) ).
cnf(i_0_412,plain,
( between(X1,X2,X3)
| between(X2,X3,X1)
| ~ colinear(X3,X1,X2)
| between(X3,X1,X2) ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_413,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_2),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_263,i_0_370,i_0_376,i_0_281,i_0_293,i_0_296,i_0_201,i_0_388,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160]) ).
cnf(i_0_414,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_415,plain,
( ~ between(X1,X2,X3)
| between(X1,X4,X3)
| ~ between(X1,X5,X3)
| ~ between(X5,X4,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_416,plain,
X1 = extension(extension(X2,extension(X3,X1,X4,X4),lower_dimension_point_1,lower_dimension_point_2),extension(X3,X1,X4,X4),extension(X3,X1,X4,X4),X1),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_263,i_0_370,i_0_376,i_0_281,i_0_293,i_0_296,i_0_201,i_0_388,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137]) ).
cnf(i_0_417,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_418,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_419,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_420,plain,
( ~ equidistant(X1,X2,X1,X3)
| ~ equidistant(X4,X2,X4,X3)
| X2 = X3
| ~ between(X1,X2,X4) ),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_421,plain,
equidistant(X1,extension(X2,X1,X3,X3),X1,extension(extension(X4,X1,lower_dimension_point_1,lower_dimension_point_2),X1,extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),extension(X2,X1,X3,X3))),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_263,i_0_370,i_0_376,i_0_255,i_0_281,i_0_293,i_0_296,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132]) ).
cnf(i_0_422,plain,
equidistant(extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),X2,X2,X1),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_423,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_424,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_425,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_426,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X5,X3,X6)
| equidistant(X2,X5,X4,X6)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
inference(rename_variables,[],[i_0_132]) ).
cnf(i_0_427,plain,
~ equidistant(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,lower_dimension_point_1,lower_dimension_point_2),extension(extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,lower_dimension_point_1,lower_dimension_point_2),X4,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2))),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_417,i_0_263,i_0_370,i_0_376,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128]) ).
cnf(i_0_428,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_429,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_430,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4)),
inference(rename_variables,[],[i_0_293]) ).
cnf(i_0_431,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_432,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ between(X1,X5,X2)
| between(X3,X6,X4)
| ~ equidistant(X1,X5,X3,X6)
| ~ equidistant(X5,X2,X6,X4) ),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_433,plain,
equidistant(X1,extension(X2,extension(X1,X1,X3,X4),X1,X1),extension(X1,X1,X3,X4),X1),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_417,i_0_172,i_0_263,i_0_370,i_0_376,i_0_408,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131]) ).
cnf(i_0_434,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_435,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_436,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_437,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_438,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_131]) ).
cnf(i_0_439,plain,
equidistant(X1,X2,X1,extension(extension(X3,extension(X4,X1,X5,X5),lower_dimension_point_1,lower_dimension_point_2),extension(X4,X1,X5,X5),extension(X4,X1,X5,X5),X2)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123]) ).
cnf(i_0_440,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_441,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_442,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_443,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_444,plain,
equidistant(X1,X2,X1,X2),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_445,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_446,plain,
( ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X2,X6,X4)
| ~ between(X1,X7,X5)
| ~ between(X3,X8,X6)
| equidistant(X7,X2,X8,X4)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X1,X5,X3,X6) ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_447,plain,
colinear(X1,extension(X2,extension(X1,X3,X4,X5),X6,X6),X3),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191]) ).
cnf(i_0_448,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_449,plain,
colinear(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,X6)),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191,i_0_193]) ).
cnf(i_0_450,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_451,plain,
~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_2,X4,X4),extension(extension(X5,X6,lower_dimension_point_1,lower_dimension_point_2),X6,lower_dimension_point_1,lower_dimension_point_2),extension(extension(extension(X5,X6,lower_dimension_point_1,lower_dimension_point_2),X6,lower_dimension_point_1,lower_dimension_point_2),X6,lower_dimension_point_1,extension(X3,lower_dimension_point_2,X4,X4))),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_406,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191,i_0_193,i_0_216]) ).
cnf(i_0_452,plain,
extension(X1,X2,X3,X3) = X2,
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_453,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_406,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_269,i_0_304,i_0_274,i_0_273,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_445,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191,i_0_193,i_0_216,i_0_121]) ).
cnf(i_0_454,plain,
equidistant(X1,X2,X2,X1),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_455,plain,
( between(X1,extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),X2)
| ~ equidistant(X3,X5,X1,X2)
| ~ between(X3,X4,X5) ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_456,plain,
( between(lower_dimension_point_1,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_2)
| ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),X3,X4),lower_dimension_point_1,lower_dimension_point_2) ),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_406,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_269,i_0_304,i_0_274,i_0_273,i_0_271,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_445,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_436,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191,i_0_193,i_0_216,i_0_121,i_0_165]) ).
cnf(i_0_457,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_458,plain,
( between(X1,X2,X3)
| ~ between(X4,X1,X3)
| between(X2,X1,X3)
| ~ between(X4,X2,X3) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_459,plain,
( between(lower_dimension_point_2,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),lower_dimension_point_3)
| ~ between(lower_dimension_point_2,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),extension(X1,lower_dimension_point_3,X2,X2)) ),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_406,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_443,i_0_269,i_0_304,i_0_274,i_0_273,i_0_271,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_417,i_0_172,i_0_437,i_0_445,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_436,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191,i_0_193,i_0_216,i_0_121,i_0_165,i_0_164]) ).
cnf(i_0_460,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_461,plain,
( between(X1,X2,X3)
| ~ between(X1,X2,X4)
| between(X1,X3,X2)
| ~ between(X1,X3,X4) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_462,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_463,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_464,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_465,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_466,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_467,plain,
equidistant(X1,X2,X3,extension(extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2),X3,X1,X2)),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_468,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_469,plain,
( lower_dimension_point_2 = extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)
| ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),X3,X4),lower_dimension_point_1,lower_dimension_point_2)
| ~ between(lower_dimension_point_2,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),extension(X5,lower_dimension_point_3,X6,X6))
| between(lower_dimension_point_2,extension(X7,extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1),X8,X8),lower_dimension_point_3) ),
inference(scs_inference,[],[i_0_115,i_0_244,i_0_342,i_0_394,i_0_396,i_0_398,i_0_400,i_0_402,i_0_404,i_0_406,i_0_265,i_0_366,i_0_373,i_0_409,i_0_419,i_0_424,i_0_429,i_0_435,i_0_443,i_0_460,i_0_462,i_0_466,i_0_269,i_0_304,i_0_274,i_0_273,i_0_271,i_0_275,i_0_126,i_0_382,i_0_385,i_0_418,i_0_423,i_0_428,i_0_441,i_0_464,i_0_417,i_0_172,i_0_437,i_0_445,i_0_171,i_0_263,i_0_370,i_0_376,i_0_408,i_0_436,i_0_457,i_0_463,i_0_255,i_0_281,i_0_293,i_0_367,i_0_296,i_0_140,i_0_201,i_0_388,i_0_414,i_0_199,i_0_200,i_0_129,i_0_150,i_0_198,i_0_184,i_0_185,i_0_186,i_0_141,i_0_143,i_0_146,i_0_147,i_0_154,i_0_142,i_0_144,i_0_145,i_0_188,i_0_190,i_0_192,i_0_189,i_0_195,i_0_194,i_0_187,i_0_207,i_0_176,i_0_178,i_0_181,i_0_182,i_0_183,i_0_133,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222,i_0_215,i_0_174,i_0_167,i_0_160,i_0_137,i_0_132,i_0_128,i_0_131,i_0_123,i_0_191,i_0_193,i_0_216,i_0_121,i_0_165,i_0_164,i_0_161]) ).
cnf(i_0_470,plain,
colinear(extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_2,X4,X4)),
inference(scs_inference,[],[i_0_407,i_0_184]) ).
cnf(i_0_471,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_472,plain,
colinear(extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2),extension(X3,lower_dimension_point_2,X4,X4),lower_dimension_point_3),
inference(scs_inference,[],[i_0_407,i_0_184,i_0_186]) ).
cnf(i_0_473,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_186]) ).
cnf(i_0_474,plain,
between(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X2),
inference(scs_inference,[],[i_0_269,i_0_407,i_0_184,i_0_186,i_0_154]) ).
cnf(i_0_475,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_476,plain,
equidistant(X1,extension(X2,extension(X1,X1,X3,X4),X1,X1),X1,extension(X1,X1,X3,X4)),
inference(scs_inference,[],[i_0_269,i_0_433,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141]) ).
cnf(i_0_477,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_478,plain,
equidistant(extension(extension(X1,X1,X1,X1),X1,extension(X1,X1,X1,X1),X1),X1,X2,X2),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143]) ).
cnf(i_0_479,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_480,plain,
equidistant(X1,extension(X1,X1,X2,X3),X1,extension(X4,extension(X1,X1,X2,X3),X1,X1)),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146]) ).
cnf(i_0_481,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_482,plain,
equidistant(X1,X1,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2),X2),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147]) ).
cnf(i_0_483,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_484,plain,
colinear(X1,X2,extension(X3,extension(X2,X1,X4,X5),X6,X6)),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188]) ).
cnf(i_0_485,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_486,plain,
colinear(lower_dimension_point_3,extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_2,lower_dimension_point_3,X3,X4)),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190]) ).
cnf(i_0_487,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_488,plain,
colinear(extension(X1,extension(X2,X3,X4,X5),X6,X6),X2,X3),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192]) ).
cnf(i_0_489,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_490,plain,
equidistant(extension(X1,extension(X2,X2,X3,X4),X2,X2),X2,extension(X2,X2,X3,X4),X2),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142]) ).
cnf(i_0_491,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_492,plain,
equidistant(extension(X1,X1,X2,X3),X1,extension(X4,extension(X1,X1,X2,X3),X1,X1),X1),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145]) ).
cnf(i_0_493,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_494,plain,
between(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,X2),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195]) ).
cnf(i_0_495,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_195]) ).
cnf(i_0_496,plain,
colinear(lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2),extension(X3,lower_dimension_point_2,X4,X4)),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185]) ).
cnf(i_0_497,plain,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_185]) ).
cnf(i_0_498,plain,
colinear(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(lower_dimension_point_2,lower_dimension_point_3,X3,X4)),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194]) ).
cnf(i_0_499,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_500,plain,
equidistant(extension(X1,X1,X2,X3),X1,X1,extension(X4,extension(X1,X1,X2,X3),X1,X1)),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144]) ).
cnf(i_0_501,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_502,plain,
colinear(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_2,lower_dimension_point_3,X3,X4),lower_dimension_point_3),
inference(scs_inference,[],[i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189]) ).
cnf(i_0_503,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_504,plain,
y = x,
inference(scs_inference,[],[i_0_326,i_0_269,i_0_281,i_0_433,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207]) ).
cnf(i_0_505,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_2),
inference(scs_inference,[],[i_0_326,i_0_395,i_0_269,i_0_281,i_0_433,i_0_358,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176]) ).
cnf(i_0_506,plain,
between(extension(X1,X2,X3,X3),X2,X4),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_507,plain,
( ~ between(X1,X2,X3)
| between(X1,X4,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_508,plain,
~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4)),
inference(scs_inference,[],[i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_281,i_0_433,i_0_358,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181]) ).
cnf(i_0_509,plain,
between(X1,X2,extension(X3,X2,X4,X4)),
inference(rename_variables,[],[i_0_265]) ).
cnf(i_0_510,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_511,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_2,X4,X4),lower_dimension_point_3),
inference(scs_inference,[],[i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_281,i_0_433,i_0_358,i_0_506,i_0_341,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178]) ).
cnf(i_0_512,plain,
between(extension(X1,X2,X3,X3),X2,X4),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_513,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_514,plain,
equidistant(X1,X2,extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),X4),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_281,i_0_433,i_0_358,i_0_506,i_0_341,i_0_333,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133]) ).
cnf(i_0_515,plain,
equidistant(X1,X2,extension(extension(X3,X4,lower_dimension_point_1,lower_dimension_point_2),X4,X1,X2),X4),
inference(rename_variables,[],[i_0_333]) ).
cnf(i_0_516,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_517,plain,
~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),lower_dimension_point_3,extension(X2,lower_dimension_point_2,X3,X3)),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_341,i_0_333,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182]) ).
cnf(i_0_518,plain,
between(extension(X1,X2,X3,X3),X2,X4),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_519,plain,
( ~ between(X1,X2,X3)
| X3 = X2
| ~ between(X1,X3,X2) ),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_520,plain,
~ between(x,extension(X1,y,lower_dimension_point_1,lower_dimension_point_2),y),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_341,i_0_333,i_0_365,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183]) ).
cnf(i_0_521,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_522,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_523,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_247,i_0_341,i_0_333,i_0_365,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134]) ).
cnf(i_0_524,plain,
equidistant(X1,X2,X2,extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2)),
inference(rename_variables,[],[i_0_247]) ).
cnf(i_0_525,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_134]) ).
cnf(i_0_526,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(scs_inference,[],[i_0_115,i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_247,i_0_341,i_0_333,i_0_365,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153]) ).
cnf(i_0_527,plain,
equidistant(X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1),X1,X2),
inference(rename_variables,[],[i_0_251]) ).
cnf(i_0_528,plain,
( ~ equidistant(X1,X2,X1,X3)
| X2 = X3
| ~ between(X1,X2,X3) ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_529,plain,
~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_395,i_0_393,i_0_269,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177]) ).
cnf(i_0_530,plain,
between(extension(X1,X2,X3,X3),X2,X4),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_531,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X4,X1,X3) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_532,plain,
extension(X1,extension(extension(x,X2,x,X2),X2,extension(x,X2,x,X2),X2),X3,X3) = y,
inference(scs_inference,[],[i_0_115,i_0_326,i_0_364,i_0_395,i_0_393,i_0_269,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177,i_0_208]) ).
cnf(i_0_533,plain,
extension(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X4,X4) = X2,
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_534,plain,
~ between(extension(X1,extension(extension(lower_dimension_point_3,X2,lower_dimension_point_3,X2),X2,extension(lower_dimension_point_3,X2,lower_dimension_point_3,X2),X2),X3,X3),lower_dimension_point_1,lower_dimension_point_3),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_364,i_0_533,i_0_395,i_0_393,i_0_269,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_285,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213]) ).
cnf(i_0_535,plain,
extension(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X4,X4) = X2,
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_536,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(extension(lower_dimension_point_1,X4,lower_dimension_point_1,X4),X4,extension(lower_dimension_point_1,X4,lower_dimension_point_1,X4),X4),X5,X5),lower_dimension_point_2),
inference(scs_inference,[],[i_0_115,i_0_326,i_0_364,i_0_533,i_0_535,i_0_395,i_0_393,i_0_269,i_0_271,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_285,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214]) ).
cnf(i_0_537,plain,
extension(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X4,X4) = X2,
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_538,plain,
~ colinear(extension(X1,extension(extension(x,X2,x,X2),X2,extension(x,X2,x,X2),X2),X3,X3),z,y),
inference(scs_inference,[],[i_0_115,i_0_325,i_0_326,i_0_364,i_0_533,i_0_535,i_0_537,i_0_395,i_0_393,i_0_269,i_0_271,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_285,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220]) ).
cnf(i_0_539,plain,
extension(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X4,X4) = X2,
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_540,plain,
~ colinear(x,extension(X1,extension(extension(z,X2,z,X2),X2,extension(z,X2,z,X2),X2),X3,X3),y),
inference(scs_inference,[],[i_0_115,i_0_325,i_0_326,i_0_364,i_0_533,i_0_535,i_0_537,i_0_539,i_0_395,i_0_393,i_0_269,i_0_271,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_285,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221]) ).
cnf(i_0_541,plain,
extension(X1,extension(extension(X2,X3,X2,X3),X3,extension(X2,X3,X2,X3),X3),X4,X4) = X2,
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_542,plain,
$false,
inference(scs_inference,[],[i_0_115,i_0_325,i_0_326,i_0_228,i_0_364,i_0_533,i_0_535,i_0_537,i_0_539,i_0_395,i_0_393,i_0_269,i_0_271,i_0_265,i_0_251,i_0_281,i_0_433,i_0_358,i_0_506,i_0_512,i_0_518,i_0_247,i_0_341,i_0_333,i_0_365,i_0_285,i_0_407,i_0_184,i_0_186,i_0_154,i_0_141,i_0_143,i_0_146,i_0_147,i_0_188,i_0_190,i_0_192,i_0_142,i_0_145,i_0_195,i_0_185,i_0_194,i_0_144,i_0_189,i_0_207,i_0_176,i_0_181,i_0_178,i_0_133,i_0_182,i_0_183,i_0_134,i_0_153,i_0_177,i_0_208,i_0_213,i_0_214,i_0_220,i_0_221,i_0_222]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.16 % Problem : GEO067-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.05/0.16 % 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
% 0.11/0.42 % Computer : n015.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8042.1875MB
% 0.11/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Mon May 4 17:39:18 EDT 2026
% 0.11/0.43 % CPUTime :
% 0.14/0.45 % start to proof: theBenchmark
% 0.28/1.73 % Version : CSE_E---1.7
% 0.28/1.73 % Problem : theBenchmark.p
% 0.28/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.63/3.13 % Total time : 1.277s
%------------------------------------------------------------------------------