%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO011-3 : 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 : n027.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 04:18:59 PM UTC 2026
% Result : Unsatisfiable 0.31s 1.62s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_98)
% 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(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(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(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(prove_lower_dimension_points_not_colinear,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).
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_95,axiom,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
r5 ).
cnf(i_0_96,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(i_0_97,axiom,
( equidistant(X2,X3,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_3 ).
cnf(i_0_98,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_99,axiom,
( between(X4,insertion(X4,X5,X1,X2),X5)
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X4,X5) ),
i2_2 ).
cnf(i_0_100,axiom,
( insertion(X5,X6,X1,X2) = insertion(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
i4 ).
cnf(i_0_101,axiom,
equidistant(X1,X2,X3,insertion(X3,X4,X1,X2)),
i2_1 ).
cnf(i_0_102,axiom,
X1 = reflection(reflection(X1,X2),X2),
r6 ).
cnf(i_0_103,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
i3 ).
cnf(i_0_104,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
r2_2 ).
cnf(i_0_105,axiom,
between(X1,X2,reflection(X1,X2)),
r2_1 ).
cnf(i_0_106,axiom,
( X2 = X1
| X1 != reflection(X2,X1) ),
r4 ).
cnf(i_0_107,axiom,
( X2 = reflection(X1,X2)
| X1 != X2 ),
r3_1 ).
cnf(i_0_108,axiom,
X1 = reflection(X1,X1),
r3_2 ).
cnf(i_0_109,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_110,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_111,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_112,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_113,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_95,c_0_96]),c_0_96]),
[final] ).
cnf(i_0_114,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_115,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_116,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_117,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_118,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_97,c_0_98]),
[final] ).
cnf(i_0_119,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_99,c_0_98]),
[final] ).
cnf(i_0_120,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_121,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_122,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_123,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_100,c_0_98]),c_0_98]),
[final] ).
cnf(i_0_124,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_101,c_0_98]),
[final] ).
cnf(i_0_125,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_126,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_127,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_102,c_0_96]),c_0_96]),
[final] ).
cnf(i_0_128,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_129,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_130,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_131,axiom,
( equidistant(X1,X2,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X5,X6) ),
d5,
[final] ).
cnf(i_0_132,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance,
[final] ).
cnf(i_0_133,axiom,
( extension(X5,X6,X1,X2) = extension(X5,X6,X3,X4)
| X5 = X6
| ~ equidistant(X1,X2,X3,X4) ),
d10_2,
[final] ).
cnf(i_0_134,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d11,
[final] ).
cnf(i_0_135,axiom,
( X2 = X4
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,X1,X4)
| ~ equidistant(X3,X2,X3,X4) ),
d15,
[final] ).
cnf(i_0_136,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_103,c_0_98]),
[final] ).
cnf(i_0_137,plain,
equidistant(X1,extension(X2,X1,X2,X1),X2,X1),
inference(rw,[status(thm)],[i_0_104,c_0_96]),
[final] ).
cnf(i_0_138,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2,
[final] ).
cnf(i_0_139,axiom,
( equidistant(X1,X2,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_1,
[final] ).
cnf(i_0_140,axiom,
( equidistant(X2,X1,X3,X4)
| ~ equidistant(X1,X2,X3,X4) ),
d3,
[final] ).
cnf(i_0_141,axiom,
( equidistant(X2,X1,X4,X3)
| ~ equidistant(X1,X2,X3,X4) ),
d4_2,
[final] ).
cnf(i_0_142,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2,
[final] ).
cnf(i_0_143,axiom,
( equidistant(X3,X4,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_3,
[final] ).
cnf(i_0_144,axiom,
( equidistant(X4,X3,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d4_4,
[final] ).
cnf(i_0_145,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5,
[final] ).
cnf(i_0_146,axiom,
( X1 = X2
| X3 = X4
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4)
| ~ equidistant(X2,X3,X2,X4) ),
d9,
[final] ).
cnf(i_0_147,plain,
between(X1,X2,extension(X1,X2,X1,X2)),
inference(rw,[status(thm)],[i_0_105,c_0_96]),
[final] ).
cnf(i_0_148,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1,
[final] ).
cnf(i_0_149,axiom,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
e3_3,
[final] ).
cnf(i_0_150,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
d10_3,
[final] ).
cnf(i_0_151,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ equidistant(X1,X2,X1,X3) ),
b15,
[final] ).
cnf(i_0_152,axiom,
( between(X2,X3,X1)
| X1 != extension(X2,X3,X4,X5) ),
b0,
[final] ).
cnf(i_0_153,plain,
( X1 = X2
| X1 != extension(X2,X1,X2,X1) ),
inference(rw,[status(thm)],[i_0_106,c_0_96]),
[final] ).
cnf(i_0_154,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance,
[final] ).
cnf(i_0_155,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
e3_1,
[final] ).
cnf(i_0_156,axiom,
( X1 = X2
| X3 = extension(X1,X2,X2,X3)
| ~ between(X1,X2,X3) ),
d10_1,
[final] ).
cnf(i_0_157,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X5)
| ~ between(X1,X5,X3) ),
t8,
[final] ).
cnf(i_0_158,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b12,
[final] ).
cnf(i_0_159,axiom,
( X1 = X2
| between(X2,X3,X4)
| between(X2,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b13,
[final] ).
cnf(i_0_160,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
t7,
[final] ).
cnf(i_0_161,axiom,
( between(X1,X2,X4)
| between(X1,X4,X2)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
t9,
[final] ).
cnf(i_0_162,axiom,
( between(X2,X4,X3)
| between(X4,X2,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
b14,
[final] ).
cnf(i_0_163,plain,
( X2 = extension(X1,X2,X1,X2)
| X1 != X2 ),
inference(rw,[status(thm)],[i_0_107,c_0_96]),
[final] ).
cnf(i_0_164,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4,
[final] ).
cnf(i_0_165,plain,
X1 = extension(X1,X1,X1,X1),
inference(rw,[status(thm)],[i_0_108,c_0_96]),
[final] ).
cnf(i_0_166,axiom,
X1 = extension(X2,X1,X3,X3),
e1,
[final] ).
cnf(i_0_167,axiom,
equidistant(X1,X1,X2,X2),
d7,
[final] ).
cnf(i_0_168,axiom,
equidistant(X1,X2,X1,X2),
d1,
[final] ).
cnf(i_0_169,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance,
[final] ).
cnf(i_0_170,axiom,
( between(X1,X2,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b7,
[final] ).
cnf(i_0_171,axiom,
( between(X1,X3,X4)
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X3,X4) ),
b6,
[final] ).
cnf(i_0_172,axiom,
( between(X1,X2,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b9,
[final] ).
cnf(i_0_173,axiom,
( between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X2,X4,X3) ),
b8,
[final] ).
cnf(i_0_174,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5,
[final] ).
cnf(i_0_175,axiom,
( X1 = X2
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
t6_2,
[final] ).
cnf(i_0_176,axiom,
( X1 = X2
| X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
t6_1,
[final] ).
cnf(i_0_177,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2,
[final] ).
cnf(i_0_178,axiom,
( X2 = X3
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X2) ),
b3,
[final] ).
cnf(i_0_179,axiom,
( between(X4,X2,X3)
| ~ between(X1,X2,X3)
| X1 != X3 ),
b1,
[final] ).
cnf(i_0_180,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1,
[final] ).
cnf(i_0_181,axiom,
( colinear(X1,X3,X2)
| ~ colinear(X1,X2,X3) ),
t10_3,
[final] ).
cnf(i_0_182,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c2_2,
[final] ).
cnf(i_0_183,axiom,
( colinear(X2,X1,X3)
| ~ colinear(X1,X2,X3) ),
t10_5,
[final] ).
cnf(i_0_184,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3,
[final] ).
cnf(i_0_185,axiom,
( colinear(X2,X3,X1)
| ~ colinear(X1,X2,X3) ),
t10_2,
[final] ).
cnf(i_0_186,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3,
[final] ).
cnf(i_0_187,axiom,
( colinear(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
t10_4,
[final] ).
cnf(i_0_188,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2,
[final] ).
cnf(i_0_189,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1,
[final] ).
cnf(i_0_190,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1,
[final] ).
cnf(i_0_191,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1,
[final] ).
cnf(i_0_192,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness,
[final] ).
cnf(i_0_193,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
lower_dimension3,
[final] ).
cnf(i_0_194,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
lower_dimension2,
[final] ).
cnf(i_0_195,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
lower_dimension1,
[final] ).
cnf(i_0_196,axiom,
between(X1,X1,X2),
t2,
[final] ).
cnf(i_0_197,axiom,
between(X1,X2,X2),
t3,
[final] ).
cnf(i_0_198,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
prove_lower_dimension_points_not_colinear,
[final] ).
cnf(i_0_199,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
e2_2,
[final] ).
cnf(i_0_200,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
e2_3,
[final] ).
cnf(i_0_201,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
e2_1,
[final] ).
cnf(i_0_202,axiom,
X1 = X1 ).
cnf(i_0_203,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_204,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_205,axiom,
( X1 != X2
| extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).
cnf(i_0_206,axiom,
( X1 != X2
| extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).
cnf(i_0_207,axiom,
( X1 != X2
| extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).
cnf(i_0_208,axiom,
( X1 != X2
| extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).
cnf(i_0_209,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_210,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_211,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_212,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_213,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_214,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_215,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_216,axiom,
( X1 != X2
| ~ colinear(X1,X3,X4)
| colinear(X2,X3,X4) ) ).
cnf(i_0_217,axiom,
( X1 != X2
| ~ colinear(X3,X1,X4)
| colinear(X3,X2,X4) ) ).
cnf(i_0_218,axiom,
( X1 != X2
| ~ colinear(X3,X4,X1)
| colinear(X3,X4,X2) ) ).
cnf(i_0_202_001,axiom,
X1 = X1 ).
cnf(i_0_203_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_204_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_205_004,axiom,
( X1 != X2
| extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).
cnf(i_0_206_005,axiom,
( X1 != X2
| extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).
cnf(i_0_207_006,axiom,
( X1 != X2
| extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).
cnf(i_0_208_007,axiom,
( X1 != X2
| extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).
cnf(i_0_209_008,axiom,
( X1 != X2
| ~ between(X1,X3,X4)
| between(X2,X3,X4) ) ).
cnf(i_0_210_009,axiom,
( X1 != X2
| ~ between(X3,X1,X4)
| between(X3,X2,X4) ) ).
cnf(i_0_211_010,axiom,
( X1 != X2
| ~ between(X3,X4,X1)
| between(X3,X4,X2) ) ).
cnf(i_0_212_011,axiom,
( X1 != X2
| ~ equidistant(X1,X3,X4,X5)
| equidistant(X2,X3,X4,X5) ) ).
cnf(i_0_213_012,axiom,
( X1 != X2
| ~ equidistant(X3,X1,X4,X5)
| equidistant(X3,X2,X4,X5) ) ).
cnf(i_0_214_013,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X1,X5)
| equidistant(X3,X4,X2,X5) ) ).
cnf(i_0_215_014,axiom,
( X1 != X2
| ~ equidistant(X3,X4,X5,X1)
| equidistant(X3,X4,X5,X2) ) ).
cnf(i_0_216_015,axiom,
( X1 != X2
| ~ colinear(X1,X3,X4)
| colinear(X2,X3,X4) ) ).
cnf(i_0_217_016,axiom,
( X1 != X2
| ~ colinear(X3,X1,X4)
| colinear(X3,X2,X4) ) ).
cnf(i_0_218_017,axiom,
( X1 != X2
| ~ colinear(X3,X4,X1)
| colinear(X3,X4,X2) ) ).
cnf(i_0_219,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(equality_inference,[],[152]) ).
cnf(i_0_220,plain,
X1 = extension(X1,X1,X1,X1),
inference(equality_inference,[],[163]) ).
cnf(i_0_221,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X3) ),
inference(equality_inference,[],[179]) ).
cnf(i_0_222,plain,
colinear(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(scs_inference,[],[i_0_198,i_0_181]) ).
cnf(i_0_223,plain,
( ~ colinear(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_224,plain,
colinear(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3),
inference(scs_inference,[],[i_0_198,i_0_181,i_0_183]) ).
cnf(i_0_225,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_226,plain,
colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_198,i_0_181,i_0_183,i_0_185]) ).
cnf(i_0_227,plain,
( ~ colinear(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_185]) ).
cnf(i_0_228,plain,
colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_198,i_0_181,i_0_183,i_0_185,i_0_187]) ).
cnf(i_0_229,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_230,plain,
colinear(lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_1),
inference(scs_inference,[],[i_0_198,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189]) ).
cnf(i_0_231,plain,
( ~ colinear(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_189]) ).
cnf(i_0_232,plain,
equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139]) ).
cnf(i_0_233,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_234,plain,
equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140]) ).
cnf(i_0_235,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_236,plain,
equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141]) ).
cnf(i_0_237,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X2,X1,X4,X3) ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_238,plain,
equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142]) ).
cnf(i_0_239,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X1,X2) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_240,plain,
equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143]) ).
cnf(i_0_241,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X3,X4,X2,X1) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_242,plain,
equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144]) ).
cnf(i_0_243,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X1,X2) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_244,plain,
equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145]) ).
cnf(i_0_245,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X4,X3,X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_246,plain,
between(extension(X1,X2,X1,X2),X2,X1),
inference(scs_inference,[],[i_0_198,i_0_138,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152]) ).
cnf(i_0_247,plain,
( X1 != extension(X2,X3,X4,X5)
| between(X2,X3,X1) ),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_248,plain,
extension(X1,X2,X3,X3) = X2,
inference(scs_inference,[],[i_0_198,i_0_138,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154]) ).
cnf(i_0_249,plain,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_250,plain,
colinear(X1,X1,X2),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180]) ).
cnf(i_0_251,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X2,X3) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_252,plain,
colinear(X1,X2,X1),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182]) ).
cnf(i_0_253,plain,
( ~ between(X1,X2,X3)
| colinear(X1,X3,X2) ),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_254,plain,
colinear(X1,X2,extension(X2,X1,X3,X4)),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_148,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184]) ).
cnf(i_0_255,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X1,X3) ),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_256,plain,
colinear(X1,extension(X2,X1,X3,X4),X2),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_148,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186]) ).
cnf(i_0_257,plain,
( ~ between(X1,X2,X3)
| colinear(X2,X3,X1) ),
inference(rename_variables,[],[i_0_186]) ).
cnf(i_0_258,plain,
colinear(X1,X2,X2),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_148,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188]) ).
cnf(i_0_259,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X1,X2) ),
inference(rename_variables,[],[i_0_188]) ).
cnf(i_0_260,plain,
colinear(extension(X1,X2,X3,X4),X2,X1),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_148,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190]) ).
cnf(i_0_261,plain,
( ~ between(X1,X2,X3)
| colinear(X3,X2,X1) ),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_262,plain,
between(extension(X1,X2,X3,X4),X2,X1),
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_148,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191]) ).
cnf(i_0_263,plain,
( ~ between(X1,X2,X3)
| between(X3,X2,X1) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_264,plain,
extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2) = X1,
inference(scs_inference,[],[i_0_198,i_0_196,i_0_138,i_0_148,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203]) ).
cnf(i_0_265,plain,
equidistant(X1,X1,X2,extension(extension(X2,X2,X2,X2),X2,extension(X2,X2,X2,X2),X2)),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_138,i_0_148,i_0_113,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131]) ).
cnf(i_0_266,plain,
equidistant(X1,X2,X1,extension(extension(X2,X1,X2,X1),X1,extension(X2,X1,X2,X1),X1)),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_267,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_268,plain,
equidistant(X1,X1,X2,extension(extension(X3,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X4,X4)),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_138,i_0_148,i_0_113,i_0_124,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132]) ).
cnf(i_0_269,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_124]) ).
cnf(i_0_270,plain,
( ~ equidistant(X1,X2,X3,X4)
| equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(rename_variables,[],[i_0_132]) ).
cnf(i_0_271,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_3),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_138,i_0_148,i_0_113,i_0_124,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172]) ).
cnf(i_0_272,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_273,plain,
( ~ between(X1,X2,X3)
| between(X1,X4,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_274,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_198,i_0_167,i_0_196,i_0_138,i_0_148,i_0_113,i_0_124,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173]) ).
cnf(i_0_275,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X4,X1,X3) ),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_276,plain,
~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_1),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_138,i_0_148,i_0_113,i_0_124,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174]) ).
cnf(i_0_277,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_278,plain,
( ~ between(X1,X2,X3)
| between(X4,X2,X3)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_279,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_197,i_0_138,i_0_148,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177]) ).
cnf(i_0_280,plain,
between(X1,X2,X2),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_281,plain,
( ~ between(X1,X2,X3)
| X2 = X1
| ~ between(X2,X1,X3) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_282,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_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_197,i_0_138,i_0_148,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178]) ).
cnf(i_0_283,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_284,plain,
( ~ between(X1,X2,X3)
| X3 = X2
| ~ between(X1,X3,X2) ),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_285,plain,
~ between(X1,extension(X2,extension(X3,X1,X4,X4),lower_dimension_point_1,lower_dimension_point_2),extension(X3,X1,X4,X4)),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_197,i_0_138,i_0_148,i_0_166,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178,i_0_179]) ).
cnf(i_0_286,plain,
( X1 != X2
| between(X3,X4,X2)
| ~ between(X1,X4,X2) ),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_287,plain,
lower_dimension_point_2 = extension(X1,extension(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1),X2,X2),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_197,i_0_138,i_0_148,i_0_166,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178,i_0_179,i_0_204]) ).
cnf(i_0_288,plain,
X1 = extension(X2,X1,X3,X3),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_289,plain,
X1 = extension(extension(X1,X2,X1,X2),X2,extension(X1,X2,X1,X2),X2),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_290,plain,
~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_197,i_0_138,i_0_148,i_0_166,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178,i_0_179,i_0_204,i_0_209]) ).
cnf(i_0_291,plain,
lower_dimension_point_3 != lower_dimension_point_1,
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_283,i_0_197,i_0_138,i_0_148,i_0_166,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178,i_0_179,i_0_204,i_0_209,i_0_210]) ).
cnf(i_0_292,plain,
between(X1,X1,X2),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_293,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,extension(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1)),
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_283,i_0_197,i_0_138,i_0_148,i_0_166,i_0_113,i_0_124,i_0_155,i_0_193,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178,i_0_179,i_0_204,i_0_209,i_0_210,i_0_211]) ).
cnf(i_0_294,plain,
$false,
inference(scs_inference,[],[i_0_198,i_0_167,i_0_196,i_0_272,i_0_277,i_0_283,i_0_197,i_0_138,i_0_148,i_0_166,i_0_113,i_0_124,i_0_155,i_0_193,i_0_194,i_0_195,i_0_127,i_0_181,i_0_183,i_0_185,i_0_187,i_0_189,i_0_139,i_0_140,i_0_141,i_0_142,i_0_143,i_0_144,i_0_145,i_0_152,i_0_154,i_0_180,i_0_182,i_0_184,i_0_186,i_0_188,i_0_190,i_0_191,i_0_203,i_0_131,i_0_132,i_0_172,i_0_173,i_0_174,i_0_177,i_0_178,i_0_179,i_0_204,i_0_209,i_0_210,i_0_211,i_0_164]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO011-3 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:37:05 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.31/1.62 % Version : CSE_E---1.7
% 0.31/1.62 % Problem : theBenchmark.p
% 0.31/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.31/1.62 % SZS output start CNFRefutation
% See solution above
% 0.60/1.93 % Total time : 1.271s
%------------------------------------------------------------------------------