CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GEO026-3 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n022.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 04:19:03 PM UTC 2026

% Result   : Unsatisfiable 51.55s 26.68s
% Output   : CNFRefutation 56.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_43)

% Comments : 
%------------------------------------------------------------------------------
cnf(r2_2,axiom,
    equidistant(X1,reflection(X2,X1),X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).

cnf(reflection,axiom,
    reflection(X1,X2) = extension(X1,X2,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).

cnf(r2_1,axiom,
    between(X1,X2,reflection(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_1) ).

cnf(r4,axiom,
    ( X2 = X1
    | X1 != reflection(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r4) ).

cnf(r3_1,axiom,
    ( X2 = reflection(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3_1) ).

cnf(r3_2,axiom,
    X1 = reflection(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3_2) ).

cnf(continuity2,axiom,
    ( equidistant(X1,X6,X1,continuous(X1,X2,X3,X6,X4,X5))
    | ~ equidistant(X1,X2,X1,X3)
    | ~ equidistant(X1,X4,X1,X5)
    | ~ between(X1,X2,X4)
    | ~ between(X2,X6,X4) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).

cnf(upper_dimension,axiom,
    ( between(X1,X4,X5)
    | between(X4,X5,X1)
    | between(X5,X1,X4)
    | X2 = X3
    | ~ equidistant(X1,X2,X1,X3)
    | ~ equidistant(X4,X2,X4,X3)
    | ~ equidistant(X5,X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',upper_dimension) ).

cnf(d8,axiom,
    ( equidistant(X1,X5,X3,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).

cnf(d5,axiom,
    ( equidistant(X1,X2,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).

cnf(segment_construction2,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(d4_1,axiom,
    ( equidistant(X1,X2,X4,X3)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_1) ).

cnf(d3,axiom,
    ( equidistant(X2,X1,X3,X4)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).

cnf(d4_2,axiom,
    ( equidistant(X2,X1,X4,X3)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).

cnf(d2,axiom,
    ( equidistant(X3,X4,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

cnf(d4_3,axiom,
    ( equidistant(X3,X4,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).

cnf(d4_4,axiom,
    ( equidistant(X4,X3,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).

cnf(d4_5,axiom,
    ( equidistant(X4,X3,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).

cnf(segment_construction1,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

cnf(b0,axiom,
    ( between(X2,X3,X1)
    | X1 != extension(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b0) ).

cnf(identity_for_equidistance,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(e1,axiom,
    X1 = extension(X2,X1,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).

cnf(d7,axiom,
    equidistant(X1,X1,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7) ).

cnf(d1,axiom,
    equidistant(X1,X2,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X1,X2,X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).

cnf(v_to_w_equals_v_to_x,hypothesis,
    equidistant(v,w,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).

cnf(identity_for_betweeness,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).

cnf(v_between_u_and_x,hypothesis,
    between(u,v,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

cnf(prove_w_is_x,negated_conjecture,
    w != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_x) ).

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).

cnf(i_0_42,axiom,
    equidistant(X1,reflection(X2,X1),X2,X1),
    r2_2 ).

cnf(i_0_43,axiom,
    reflection(X1,X2) = extension(X1,X2,X1,X2),
    reflection ).

cnf(i_0_44,axiom,
    between(X1,X2,reflection(X1,X2)),
    r2_1 ).

cnf(i_0_45,axiom,
    ( X2 = X1
    | X1 != reflection(X2,X1) ),
    r4 ).

cnf(i_0_46,axiom,
    ( X2 = reflection(X1,X2)
    | X1 != X2 ),
    r3_1 ).

cnf(i_0_47,axiom,
    X1 = reflection(X1,X1),
    r3_2 ).

cnf(i_0_48,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_49,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_50,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_51,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_52,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_53,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_54,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_55,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_56,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_57,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_58,axiom,
    ( equidistant(X1,X2,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X5,X6) ),
    d5,
    [final] ).

cnf(i_0_59,axiom,
    ( equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    transitivity_for_equidistance,
    [final] ).

cnf(i_0_60,plain,
    equidistant(X1,extension(X2,X1,X2,X1),X2,X1),
    inference(rw,[status(thm)],[i_0_42,c_0_43]),
    [final] ).

cnf(i_0_61,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    segment_construction2,
    [final] ).

cnf(i_0_62,axiom,
    ( equidistant(X1,X2,X4,X3)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_1,
    [final] ).

cnf(i_0_63,axiom,
    ( equidistant(X2,X1,X3,X4)
    | ~ equidistant(X1,X2,X3,X4) ),
    d3,
    [final] ).

cnf(i_0_64,axiom,
    ( equidistant(X2,X1,X4,X3)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_2,
    [final] ).

cnf(i_0_65,axiom,
    ( equidistant(X3,X4,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    d2,
    [final] ).

cnf(i_0_66,axiom,
    ( equidistant(X3,X4,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_3,
    [final] ).

cnf(i_0_67,axiom,
    ( equidistant(X4,X3,X1,X2)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_4,
    [final] ).

cnf(i_0_68,axiom,
    ( equidistant(X4,X3,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_5,
    [final] ).

cnf(i_0_69,plain,
    between(X1,X2,extension(X1,X2,X1,X2)),
    inference(rw,[status(thm)],[i_0_44,c_0_43]),
    [final] ).

cnf(i_0_70,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    segment_construction1,
    [final] ).

cnf(i_0_71,axiom,
    ( between(X2,X3,X1)
    | X1 != extension(X2,X3,X4,X5) ),
    b0,
    [final] ).

cnf(i_0_72,plain,
    ( X1 = X2
    | X1 != extension(X2,X1,X2,X1) ),
    inference(rw,[status(thm)],[i_0_45,c_0_43]),
    [final] ).

cnf(i_0_73,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    identity_for_equidistance,
    [final] ).

cnf(i_0_74,plain,
    ( X2 = extension(X1,X2,X1,X2)
    | X1 != X2 ),
    inference(rw,[status(thm)],[i_0_46,c_0_43]),
    [final] ).

cnf(i_0_75,plain,
    X1 = extension(X1,X1,X1,X1),
    inference(rw,[status(thm)],[i_0_47,c_0_43]),
    [final] ).

cnf(i_0_76,axiom,
    X1 = extension(X2,X1,X3,X3),
    e1,
    [final] ).

cnf(i_0_77,axiom,
    equidistant(X1,X1,X2,X2),
    d7,
    [final] ).

cnf(i_0_78,axiom,
    equidistant(X1,X2,X1,X2),
    d1,
    [final] ).

cnf(i_0_79,axiom,
    equidistant(X1,X2,X2,X1),
    reflexivity_for_equidistance,
    [final] ).

cnf(i_0_80,hypothesis,
    equidistant(v,w,v,x),
    v_to_w_equals_v_to_x,
    [final] ).

cnf(i_0_81,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    identity_for_betweeness,
    [final] ).

cnf(i_0_82,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    lower_dimension3,
    [final] ).

cnf(i_0_83,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    lower_dimension2,
    [final] ).

cnf(i_0_84,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    lower_dimension1,
    [final] ).

cnf(i_0_85,hypothesis,
    between(u,v,x),
    v_between_u_and_x,
    [final] ).

cnf(i_0_86,hypothesis,
    between(u,v,w),
    v_between_u_and_w,
    [final] ).

cnf(i_0_87,negated_conjecture,
    w != x,
    prove_w_is_x,
    [final] ).

cnf(i_0_88,hypothesis,
    u != v,
    u_not_v,
    [final] ).

cnf(i_0_89,axiom,
    X1 = X1 ).

cnf(i_0_90,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_91,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_92,axiom,
    ( X1 != X2
    | extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).

cnf(i_0_93,axiom,
    ( X1 != X2
    | extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).

cnf(i_0_94,axiom,
    ( X1 != X2
    | extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).

cnf(i_0_95,axiom,
    ( X1 != X2
    | extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).

cnf(i_0_96,axiom,
    ( X1 != X2
    | ~ equidistant(X1,X3,X4,X5)
    | equidistant(X2,X3,X4,X5) ) ).

cnf(i_0_97,axiom,
    ( X1 != X2
    | ~ equidistant(X3,X1,X4,X5)
    | equidistant(X3,X2,X4,X5) ) ).

cnf(i_0_98,axiom,
    ( X1 != X2
    | ~ equidistant(X3,X4,X1,X5)
    | equidistant(X3,X4,X2,X5) ) ).

cnf(i_0_99,axiom,
    ( X1 != X2
    | ~ equidistant(X3,X4,X5,X1)
    | equidistant(X3,X4,X5,X2) ) ).

cnf(i_0_100,axiom,
    ( X1 != X2
    | ~ between(X1,X3,X4)
    | between(X2,X3,X4) ) ).

cnf(i_0_101,axiom,
    ( X1 != X2
    | ~ between(X3,X1,X4)
    | between(X3,X2,X4) ) ).

cnf(i_0_102,axiom,
    ( X1 != X2
    | ~ between(X3,X4,X1)
    | between(X3,X4,X2) ) ).

cnf(i_0_89_001,axiom,
    X1 = X1 ).

cnf(i_0_90_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_91_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_92_004,axiom,
    ( X1 != X2
    | extension(X1,X3,X4,X5) = extension(X2,X3,X4,X5) ) ).

cnf(i_0_93_005,axiom,
    ( X1 != X2
    | extension(X3,X1,X4,X5) = extension(X3,X2,X4,X5) ) ).

cnf(i_0_94_006,axiom,
    ( X1 != X2
    | extension(X3,X4,X1,X5) = extension(X3,X4,X2,X5) ) ).

cnf(i_0_95_007,axiom,
    ( X1 != X2
    | extension(X3,X4,X5,X1) = extension(X3,X4,X5,X2) ) ).

cnf(i_0_96_008,axiom,
    ( X1 != X2
    | ~ equidistant(X1,X3,X4,X5)
    | equidistant(X2,X3,X4,X5) ) ).

cnf(i_0_97_009,axiom,
    ( X1 != X2
    | ~ equidistant(X3,X1,X4,X5)
    | equidistant(X3,X2,X4,X5) ) ).

cnf(i_0_98_010,axiom,
    ( X1 != X2
    | ~ equidistant(X3,X4,X1,X5)
    | equidistant(X3,X4,X2,X5) ) ).

cnf(i_0_99_011,axiom,
    ( X1 != X2
    | ~ equidistant(X3,X4,X5,X1)
    | equidistant(X3,X4,X5,X2) ) ).

cnf(i_0_100_012,axiom,
    ( X1 != X2
    | ~ between(X1,X3,X4)
    | between(X2,X3,X4) ) ).

cnf(i_0_101_013,axiom,
    ( X1 != X2
    | ~ between(X3,X1,X4)
    | between(X3,X2,X4) ) ).

cnf(i_0_102_014,axiom,
    ( X1 != X2
    | ~ between(X3,X4,X1)
    | between(X3,X4,X2) ) ).

cnf(i_0_103,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(equality_inference,[],[71]) ).

cnf(i_0_104,plain,
    X1 = extension(X1,X1,X1,X1),
    inference(equality_inference,[],[74]) ).

cnf(i_0_105,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(scs_inference,[],[i_0_76,i_0_90]) ).

cnf(i_0_106,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62]) ).

cnf(i_0_107,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_108,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63]) ).

cnf(i_0_109,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_110,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_111,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_112,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_113,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_114,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_115,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_116,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_117,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_118,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68]) ).

cnf(i_0_119,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_120,plain,
    between(X1,X2,X2),
    inference(scs_inference,[],[i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71]) ).

cnf(i_0_121,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_122,plain,
    w != extension(X1,x,X2,X2),
    inference(scs_inference,[],[i_0_87,i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91]) ).

cnf(i_0_123,plain,
    equidistant(X1,X1,X2,extension(X3,X2,X4,X4)),
    inference(scs_inference,[],[i_0_87,i_0_77,i_0_61,i_0_76,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91,i_0_58]) ).

cnf(i_0_124,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_125,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(scs_inference,[],[i_0_87,i_0_77,i_0_61,i_0_70,i_0_76,i_0_82,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91,i_0_58,i_0_102]) ).

cnf(i_0_126,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_127,plain,
    equidistant(u,w,u,x),
    inference(scs_inference,[],[i_0_87,i_0_77,i_0_78,i_0_61,i_0_70,i_0_76,i_0_80,i_0_82,i_0_85,i_0_86,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91,i_0_58,i_0_102,i_0_57]) ).

cnf(i_0_128,plain,
    equidistant(X1,X2,X1,X2),
    inference(rename_variables,[],[i_0_78]) ).

cnf(i_0_129,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_57]) ).

cnf(i_0_130,plain,
    ( X1 != lower_dimension_point_3
    | ~ between(X1,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_87,i_0_77,i_0_78,i_0_61,i_0_70,i_0_76,i_0_80,i_0_82,i_0_85,i_0_86,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91,i_0_58,i_0_102,i_0_57,i_0_100]) ).

cnf(i_0_131,plain,
    ( X1 != lower_dimension_point_1
    | ~ between(lower_dimension_point_3,X1,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_87,i_0_77,i_0_78,i_0_61,i_0_70,i_0_76,i_0_80,i_0_82,i_0_85,i_0_86,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91,i_0_58,i_0_102,i_0_57,i_0_100,i_0_101]) ).

cnf(i_0_132,plain,
    equidistant(X1,X1,X2,X2),
    inference(rename_variables,[],[i_0_77]) ).

cnf(i_0_133,plain,
    equidistant(X1,X2,X1,X2),
    inference(rename_variables,[],[i_0_78]) ).

cnf(i_0_134,plain,
    ( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
    | ~ equidistant(X2,X3,X2,X1)
    | ~ equidistant(X2,X5,X2,X6)
    | ~ between(X2,X3,X5)
    | ~ between(X3,X4,X5) ),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_135,plain,
    ( ~ between(lower_dimension_point_3,X1,lower_dimension_point_2)
    | ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2)
    | continuous(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,X1,lower_dimension_point_2,lower_dimension_point_2) != lower_dimension_point_1 ),
    inference(scs_inference,[],[i_0_87,i_0_77,i_0_78,i_0_128,i_0_61,i_0_70,i_0_76,i_0_80,i_0_82,i_0_85,i_0_86,i_0_90,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_68,i_0_71,i_0_91,i_0_58,i_0_102,i_0_57,i_0_101,i_0_49]) ).

cnf(i_0_136,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(equality_inference,[],[130]) ).

cnf(i_0_137,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(equality_inference,[],[131]) ).

cnf(i_0_138,plain,
    lower_dimension_point_2 != lower_dimension_point_1,
    inference(scs_inference,[],[i_0_120,i_0_131]) ).

cnf(i_0_139,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_140,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,X6)),
    inference(scs_inference,[],[i_0_105,i_0_120,i_0_131,i_0_71]) ).

cnf(i_0_141,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_142,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_143,plain,
    equidistant(v,x,v,w),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65]) ).

cnf(i_0_144,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_145,plain,
    equidistant(x,v,w,v),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65,i_0_68]) ).

cnf(i_0_146,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_147,plain,
    equidistant(v,w,x,v),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62]) ).

cnf(i_0_148,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_149,plain,
    equidistant(w,v,v,x),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63]) ).

cnf(i_0_150,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_151,plain,
    equidistant(w,v,x,v),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_152,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_153,plain,
    equidistant(v,x,w,v),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66]) ).

cnf(i_0_154,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_155,plain,
    equidistant(x,v,v,w),
    inference(scs_inference,[],[i_0_105,i_0_80,i_0_120,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67]) ).

cnf(i_0_156,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_157,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X5,extension(X6,X5,X1,X2))),
    inference(scs_inference,[],[i_0_105,i_0_61,i_0_80,i_0_120,i_0_112,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59]) ).

cnf(i_0_158,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X1,X2)),
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_159,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_160,plain,
    equidistant(X1,extension(X2,X1,v,w),v,x),
    inference(scs_inference,[],[i_0_105,i_0_61,i_0_80,i_0_120,i_0_112,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58]) ).

cnf(i_0_161,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_162,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_163,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_61,i_0_80,i_0_120,i_0_112,i_0_83,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100]) ).

cnf(i_0_164,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_165,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_61,i_0_80,i_0_120,i_0_112,i_0_83,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101]) ).

cnf(i_0_166,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_167,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2)),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_61,i_0_80,i_0_120,i_0_112,i_0_83,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102]) ).

cnf(i_0_168,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_169,plain,
    equidistant(X1,extension(X1,X2,X1,X1),X2,X1),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_61,i_0_161,i_0_79,i_0_80,i_0_120,i_0_139,i_0_112,i_0_83,i_0_70,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57]) ).

cnf(i_0_170,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_171,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_172,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_173,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_57]) ).

cnf(i_0_174,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_61,i_0_161,i_0_170,i_0_79,i_0_80,i_0_120,i_0_139,i_0_112,i_0_125,i_0_83,i_0_84,i_0_70,i_0_82,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_56]) ).

cnf(i_0_175,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_176,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_177,plain,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | ~ equidistant(X3,X4,X3,X5)
    | ~ equidistant(X1,X4,X1,X5)
    | ~ equidistant(X2,X4,X2,X5)
    | between(X3,X1,X2)
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_178,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_168,i_0_61,i_0_161,i_0_170,i_0_79,i_0_80,i_0_120,i_0_139,i_0_112,i_0_125,i_0_83,i_0_84,i_0_70,i_0_82,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_56,i_0_96]) ).

cnf(i_0_179,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_180,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(X1,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X2,X2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_168,i_0_179,i_0_61,i_0_161,i_0_170,i_0_79,i_0_80,i_0_120,i_0_139,i_0_112,i_0_125,i_0_83,i_0_84,i_0_70,i_0_82,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_56,i_0_96,i_0_97]) ).

cnf(i_0_181,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_182,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_168,i_0_179,i_0_181,i_0_61,i_0_161,i_0_170,i_0_79,i_0_80,i_0_120,i_0_139,i_0_112,i_0_125,i_0_83,i_0_84,i_0_70,i_0_82,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_56,i_0_96,i_0_97,i_0_98]) ).

cnf(i_0_183,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_184,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2)) ),
    inference(scs_inference,[],[i_0_105,i_0_141,i_0_164,i_0_166,i_0_168,i_0_179,i_0_181,i_0_183,i_0_61,i_0_161,i_0_170,i_0_79,i_0_80,i_0_120,i_0_139,i_0_112,i_0_125,i_0_83,i_0_84,i_0_70,i_0_82,i_0_131,i_0_71,i_0_65,i_0_68,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_56,i_0_96,i_0_97,i_0_98,i_0_99]) ).

cnf(i_0_185,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_186,plain,
    equidistant(X1,X2,extension(X1,X2,X1,X1),X1),
    inference(scs_inference,[],[i_0_169,i_0_68]) ).

cnf(i_0_187,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_188,plain,
    equidistant(X1,X2,X2,extension(X2,X1,X2,X2)),
    inference(scs_inference,[],[i_0_169,i_0_68,i_0_65]) ).

cnf(i_0_189,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_190,plain,
    equidistant(X1,extension(X1,X2,X1,X1),X1,X2),
    inference(scs_inference,[],[i_0_169,i_0_68,i_0_65,i_0_62]) ).

cnf(i_0_191,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_192,plain,
    equidistant(extension(X1,X2,X1,X1),X1,X2,X1),
    inference(scs_inference,[],[i_0_169,i_0_68,i_0_65,i_0_62,i_0_63]) ).

cnf(i_0_193,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_194,plain,
    equidistant(extension(X1,X2,X1,X1),X1,X1,X2),
    inference(scs_inference,[],[i_0_169,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_195,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_196,plain,
    equidistant(X1,X2,extension(X2,X1,X2,X2),X2),
    inference(scs_inference,[],[i_0_169,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66]) ).

cnf(i_0_197,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_198,plain,
    equidistant(X1,X2,X1,extension(X1,X2,X1,X1)),
    inference(scs_inference,[],[i_0_169,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67]) ).

cnf(i_0_199,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_200,plain,
    equidistant(X1,X2,extension(X3,X4,X5,extension(X6,X5,X1,X2)),X4),
    inference(scs_inference,[],[i_0_61,i_0_169,i_0_114,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59]) ).

cnf(i_0_201,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),X4),
    inference(rename_variables,[],[i_0_114]) ).

cnf(i_0_202,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_203,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X5,X6),
    inference(scs_inference,[],[i_0_61,i_0_106,i_0_169,i_0_114,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58]) ).

cnf(i_0_204,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_205,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_206,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_207,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_105,i_0_61,i_0_106,i_0_169,i_0_114,i_0_163,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100]) ).

cnf(i_0_208,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_209,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_61,i_0_106,i_0_169,i_0_114,i_0_163,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101]) ).

cnf(i_0_210,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_211,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,X4)),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_61,i_0_106,i_0_169,i_0_114,i_0_163,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102]) ).

cnf(i_0_212,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_213,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X3,X4,X5,X5)),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_61,i_0_204,i_0_106,i_0_169,i_0_114,i_0_123,i_0_163,i_0_120,i_0_70,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57]) ).

cnf(i_0_214,plain,
    equidistant(X1,X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_123]) ).

cnf(i_0_215,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_216,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_217,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_57]) ).

cnf(i_0_218,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),X4),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_61,i_0_204,i_0_106,i_0_169,i_0_114,i_0_123,i_0_163,i_0_120,i_0_70,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73]) ).

cnf(i_0_219,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_220,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_61,i_0_204,i_0_106,i_0_169,i_0_114,i_0_123,i_0_163,i_0_120,i_0_70,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_221,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,extension(X5,X6,X7,X7),X6),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_212,i_0_61,i_0_204,i_0_106,i_0_169,i_0_114,i_0_123,i_0_163,i_0_120,i_0_70,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73,i_0_90,i_0_91]) ).

cnf(i_0_222,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),X7)),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_212,i_0_61,i_0_204,i_0_106,i_0_169,i_0_114,i_0_123,i_0_163,i_0_120,i_0_70,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73,i_0_90,i_0_91,i_0_71]) ).

cnf(i_0_223,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_224,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_225,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_226,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2))
    | between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3) ),
    inference(scs_inference,[],[i_0_105,i_0_208,i_0_210,i_0_212,i_0_61,i_0_204,i_0_106,i_0_169,i_0_114,i_0_123,i_0_163,i_0_120,i_0_125,i_0_70,i_0_68,i_0_65,i_0_62,i_0_63,i_0_64,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73,i_0_90,i_0_91,i_0_71,i_0_56]) ).

cnf(i_0_227,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(scs_inference,[],[i_0_221,i_0_71]) ).

cnf(i_0_228,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_229,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X5,X1,X2),X5),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68]) ).

cnf(i_0_230,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_231,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X3,X4,X5,X5),X3),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62]) ).

cnf(i_0_232,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_233,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,extension(X3,X4,X5,X5)),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63]) ).

cnf(i_0_234,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_235,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X3,X4,X5,X5),X3),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_236,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_237,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,X4,X1,X2)),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_238,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_239,plain,
    equidistant(X1,extension(X1,X2,X3,X3),extension(X4,X5,X1,X2),X5),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_240,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_241,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,X1,X2)),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_242,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_243,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = extension(X6,X2,X7,X7),
    inference(scs_inference,[],[i_0_221,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90]) ).

cnf(i_0_244,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X1,X2),X3,X3),X3),
    inference(scs_inference,[],[i_0_221,i_0_61,i_0_186,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59]) ).

cnf(i_0_245,plain,
    equidistant(X1,X2,extension(X1,X2,X1,X1),X1),
    inference(rename_variables,[],[i_0_186]) ).

cnf(i_0_246,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_247,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2,X5,X6),
    inference(scs_inference,[],[i_0_221,i_0_61,i_0_108,i_0_186,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_248,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_249,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_250,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_251,plain,
    w != extension(X1,x,extension(X2,X3,X4,X4),X3),
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_221,i_0_61,i_0_108,i_0_186,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_252,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_253,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_252,i_0_221,i_0_61,i_0_108,i_0_83,i_0_186,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100]) ).

cnf(i_0_254,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_255,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),X3),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_252,i_0_254,i_0_221,i_0_61,i_0_108,i_0_83,i_0_186,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101]) ).

cnf(i_0_256,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_257,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),X3)),
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_252,i_0_254,i_0_256,i_0_221,i_0_61,i_0_108,i_0_83,i_0_186,i_0_213,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102]) ).

cnf(i_0_258,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_259,plain,
    equidistant(u,x,u,w),
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_252,i_0_254,i_0_256,i_0_221,i_0_61,i_0_108,i_0_83,i_0_186,i_0_213,i_0_143,i_0_78,i_0_85,i_0_86,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57]) ).

cnf(i_0_260,plain,
    equidistant(X1,X2,X1,X2),
    inference(rename_variables,[],[i_0_78]) ).

cnf(i_0_261,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_57]) ).

cnf(i_0_262,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_252,i_0_254,i_0_256,i_0_221,i_0_61,i_0_108,i_0_83,i_0_186,i_0_213,i_0_143,i_0_78,i_0_85,i_0_86,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73]) ).

cnf(i_0_263,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_264,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_265,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_266,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2)
    | ~ equidistant(extension(X3,lower_dimension_point_3,X4,X4),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_2)
    | between(extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2))
    | between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4)) ),
    inference(scs_inference,[],[i_0_87,i_0_220,i_0_252,i_0_254,i_0_256,i_0_221,i_0_61,i_0_248,i_0_108,i_0_83,i_0_186,i_0_213,i_0_143,i_0_209,i_0_78,i_0_85,i_0_86,i_0_125,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73,i_0_56]) ).

cnf(i_0_267,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_243,i_0_71]) ).

cnf(i_0_268,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_269,plain,
    equidistant(X1,extension(X1,extension(X2,X1,X3,X4),X1,X1),X4,X3),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68]) ).

cnf(i_0_270,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_271,plain,
    equidistant(X1,X2,X3,extension(X3,extension(X4,X3,X1,X2),X3,X3)),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68,i_0_62]) ).

cnf(i_0_272,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_273,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X2,X1),X3,X3),X3),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63]) ).

cnf(i_0_274,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_275,plain,
    equidistant(X1,X2,X3,extension(X3,extension(X4,X3,X2,X1),X3,X3)),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_276,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_277,plain,
    equidistant(extension(X1,extension(X2,X1,X3,X4),X1,X1),X1,X3,X4),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_278,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_279,plain,
    equidistant(extension(X1,extension(X2,X1,X3,X4),X1,X1),X1,X4,X3),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_280,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_281,plain,
    equidistant(X1,extension(X1,extension(X2,X1,X3,X4),X1,X1),X3,X4),
    inference(scs_inference,[],[i_0_243,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_282,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_283,plain,
    X1 = extension(X2,X1,X3,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_243,i_0_262,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90]) ).

cnf(i_0_284,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(extension(X3,X4,X1,X2),X4,extension(X3,X4,X1,X2),extension(X3,X4,X1,X2))),
    inference(scs_inference,[],[i_0_243,i_0_262,i_0_61,i_0_188,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59]) ).

cnf(i_0_285,plain,
    equidistant(X1,X2,X2,extension(X2,X1,X2,X2)),
    inference(rename_variables,[],[i_0_188]) ).

cnf(i_0_286,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_287,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X5,X6),
    inference(scs_inference,[],[i_0_243,i_0_262,i_0_61,i_0_110,i_0_188,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_288,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_289,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_290,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_291,plain,
    w != extension(X1,x,X2,extension(X3,X2,X4,X4)),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_61,i_0_110,i_0_188,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_292,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_293,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_292,i_0_83,i_0_61,i_0_110,i_0_188,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100]) ).

cnf(i_0_294,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_295,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,extension(X3,X2,X4,X4)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_292,i_0_294,i_0_83,i_0_61,i_0_110,i_0_188,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101]) ).

cnf(i_0_296,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_297,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,extension(X3,X2,X4,X4))),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_292,i_0_294,i_0_296,i_0_83,i_0_61,i_0_110,i_0_188,i_0_244,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102]) ).

cnf(i_0_298,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_299,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X4,X3),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_292,i_0_294,i_0_296,i_0_83,i_0_61,i_0_288,i_0_110,i_0_289,i_0_188,i_0_227,i_0_244,i_0_120,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57]) ).

cnf(i_0_300,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_301,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_302,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_303,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_57]) ).

cnf(i_0_304,plain,
    X1 = extension(X1,extension(X2,X1,X3,X3),X1,X1),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_292,i_0_294,i_0_296,i_0_83,i_0_61,i_0_288,i_0_110,i_0_289,i_0_188,i_0_227,i_0_244,i_0_120,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73]) ).

cnf(i_0_305,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_306,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_307,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X4,lower_dimension_point_1,X5,X5),X6),extension(X1,lower_dimension_point_2,X2,X2),X6)
    | ~ equidistant(lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X4,lower_dimension_point_1,X5,X5),X6),lower_dimension_point_3,X6)
    | between(lower_dimension_point_3,extension(X4,lower_dimension_point_1,X5,X5),extension(X1,lower_dimension_point_2,X2,X2))
    | between(extension(X4,lower_dimension_point_1,X5,X5),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3)
    | extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X4,lower_dimension_point_1,X5,X5),X6) = X6 ),
    inference(scs_inference,[],[i_0_87,i_0_243,i_0_262,i_0_292,i_0_294,i_0_296,i_0_83,i_0_61,i_0_288,i_0_300,i_0_110,i_0_289,i_0_188,i_0_227,i_0_244,i_0_211,i_0_120,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57,i_0_73,i_0_56]) ).

cnf(i_0_308,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X3,X3),
    inference(scs_inference,[],[i_0_299,i_0_73]) ).

cnf(i_0_309,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X4,X3),
    inference(rename_variables,[],[i_0_299]) ).

cnf(i_0_310,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_311,plain,
    between(X1,extension(X2,X1,X3,X3),X1),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_73,i_0_71]) ).

cnf(i_0_312,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_313,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X1),extension(X5,X4,X1,X2)),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68]) ).

cnf(i_0_314,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_315,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X3,X4),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62]) ).

cnf(i_0_316,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_317,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X5,X3),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63]) ).

cnf(i_0_318,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_319,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X3,X5),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_320,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_321,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X2,X2)),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_322,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_323,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X2),extension(X5,X4,X2,X1)),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_324,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_325,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(X5,X4,X1,X1)),
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_326,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_327,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(scs_inference,[],[i_0_304,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90]) ).

cnf(i_0_328,plain,
    equidistant(X1,X2,extension(extension(X3,X4,X1,X2),X4,extension(X3,X4,X1,X2),extension(X3,X4,X1,X2)),extension(X3,X4,X1,X2)),
    inference(scs_inference,[],[i_0_304,i_0_61,i_0_196,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59]) ).

cnf(i_0_329,plain,
    equidistant(X1,X2,extension(X2,X1,X2,X2),X2),
    inference(rename_variables,[],[i_0_196]) ).

cnf(i_0_330,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_331,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,X5),
    inference(scs_inference,[],[i_0_304,i_0_61,i_0_106,i_0_196,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_332,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_333,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_334,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_335,plain,
    w != extension(x,extension(X1,x,X2,X2),x,x),
    inference(scs_inference,[],[i_0_87,i_0_304,i_0_61,i_0_106,i_0_196,i_0_299,i_0_309,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_336,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_304,i_0_220,i_0_61,i_0_106,i_0_196,i_0_299,i_0_309,i_0_165,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100]) ).

cnf(i_0_337,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_338,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),X3),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_87,i_0_304,i_0_220,i_0_337,i_0_61,i_0_106,i_0_196,i_0_299,i_0_309,i_0_165,i_0_167,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101]) ).

cnf(i_0_339,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_340,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_1,extension(X4,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_87,i_0_304,i_0_220,i_0_337,i_0_339,i_0_61,i_0_106,i_0_196,i_0_299,i_0_309,i_0_165,i_0_167,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102]) ).

cnf(i_0_341,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_342,plain,
    equidistant(extension(X1,x,X2,X2),extension(X3,x,extension(X1,x,X2,X2),x),x,x),
    inference(scs_inference,[],[i_0_87,i_0_304,i_0_220,i_0_337,i_0_339,i_0_61,i_0_333,i_0_79,i_0_106,i_0_196,i_0_299,i_0_309,i_0_267,i_0_165,i_0_167,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57]) ).

cnf(i_0_343,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_344,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_345,plain,
    equidistant(X1,X2,X2,X1),
    inference(rename_variables,[],[i_0_79]) ).

cnf(i_0_346,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_57]) ).

cnf(i_0_347,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_348,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_349,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2)
    | ~ equidistant(extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_2)
    | between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2)
    | between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2)) ),
    inference(scs_inference,[],[i_0_87,i_0_304,i_0_220,i_0_337,i_0_339,i_0_61,i_0_333,i_0_343,i_0_79,i_0_106,i_0_196,i_0_299,i_0_309,i_0_267,i_0_165,i_0_167,i_0_125,i_0_73,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_90,i_0_59,i_0_58,i_0_91,i_0_100,i_0_101,i_0_102,i_0_57,i_0_56]) ).

cnf(i_0_350,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),X6,extension(X7,X6,X8,X8))),
    inference(scs_inference,[],[i_0_262,i_0_71]) ).

cnf(i_0_351,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_352,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_353,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),X4,X3),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_71,i_0_68]) ).

cnf(i_0_354,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_355,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X6,X5),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_203,i_0_71,i_0_68,i_0_62]) ).

cnf(i_0_356,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_357,plain,
    equidistant(X1,X2,extension(extension(X3,X4,X2,X1),X4,extension(X3,X4,X2,X1),extension(X3,X4,X2,X1)),extension(X3,X4,X2,X1)),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63]) ).

cnf(i_0_358,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_359,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(extension(X3,X4,X2,X1),X4,extension(X3,X4,X2,X1),extension(X3,X4,X2,X1))),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64]) ).

cnf(i_0_360,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_361,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),extension(X1,X2,X3,X4),X3,X4),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_362,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_363,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),extension(X1,X2,X3,X4),X4,X3),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_364,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_365,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),X3,X4),
    inference(scs_inference,[],[i_0_262,i_0_328,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_366,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_367,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),X3),
    inference(scs_inference,[],[i_0_262,i_0_108,i_0_328,i_0_229,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59]) ).

cnf(i_0_368,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X5,X1,X2),X5),
    inference(rename_variables,[],[i_0_229]) ).

cnf(i_0_369,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_370,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_371,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
    inference(scs_inference,[],[i_0_262,i_0_61,i_0_108,i_0_77,i_0_328,i_0_229,i_0_203,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58]) ).

cnf(i_0_372,plain,
    equidistant(X1,X1,X2,X2),
    inference(rename_variables,[],[i_0_77]) ).

cnf(i_0_373,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_374,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_375,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2,lower_dimension_point_2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,X4)),
    inference(scs_inference,[],[i_0_327,i_0_262,i_0_61,i_0_108,i_0_77,i_0_328,i_0_229,i_0_203,i_0_167,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100]) ).

cnf(i_0_376,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_377,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(lower_dimension_point_1,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_1,lower_dimension_point_1)),
    inference(scs_inference,[],[i_0_327,i_0_376,i_0_262,i_0_83,i_0_61,i_0_108,i_0_77,i_0_328,i_0_229,i_0_203,i_0_167,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_102]) ).

cnf(i_0_378,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_379,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_327,i_0_376,i_0_378,i_0_262,i_0_83,i_0_61,i_0_108,i_0_77,i_0_328,i_0_229,i_0_203,i_0_167,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_102,i_0_101]) ).

cnf(i_0_380,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_381,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X4,X4),X3,X4),
    inference(scs_inference,[],[i_0_327,i_0_376,i_0_378,i_0_262,i_0_83,i_0_61,i_0_373,i_0_108,i_0_369,i_0_77,i_0_328,i_0_229,i_0_203,i_0_227,i_0_167,i_0_120,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_102,i_0_101,i_0_57]) ).

cnf(i_0_382,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_383,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_384,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_385,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_57]) ).

cnf(i_0_386,plain,
    extension(X1,X2,X3,X3) = extension(extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)),
    inference(scs_inference,[],[i_0_327,i_0_376,i_0_378,i_0_262,i_0_83,i_0_61,i_0_373,i_0_108,i_0_369,i_0_77,i_0_328,i_0_229,i_0_203,i_0_227,i_0_167,i_0_120,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_102,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_387,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_388,plain,
    extension(extension(X1,X2,X3,X3),X2,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)) = extension(X1,X2,X3,X3),
    inference(scs_inference,[],[i_0_327,i_0_376,i_0_378,i_0_262,i_0_83,i_0_61,i_0_373,i_0_108,i_0_369,i_0_77,i_0_328,i_0_229,i_0_203,i_0_227,i_0_167,i_0_120,i_0_71,i_0_68,i_0_62,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_59,i_0_58,i_0_100,i_0_102,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_389,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_390,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_391,plain,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | ~ equidistant(X3,X4,X3,X5)
    | ~ equidistant(X1,X4,X1,X5)
    | ~ equidistant(X2,X4,X2,X5)
    | between(X3,X1,X2)
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_393,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X1),extension(X5,X4,X2,X1)),
    inference(scs_inference,[],[i_0_381,i_0_68]) ).

cnf(i_0_394,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_395,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X3),X5,X3),
    inference(scs_inference,[],[i_0_381,i_0_68,i_0_63]) ).

cnf(i_0_396,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_397,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X3),X3,X5),
    inference(scs_inference,[],[i_0_381,i_0_68,i_0_63,i_0_64]) ).

cnf(i_0_398,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_399,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(X5,X4,X2,X2)),
    inference(scs_inference,[],[i_0_381,i_0_68,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_400,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_401,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X2),extension(X5,X4,X1,X2)),
    inference(scs_inference,[],[i_0_381,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_402,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_403,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X1,X1)),
    inference(scs_inference,[],[i_0_381,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_404,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_405,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X4,X4),X4,X3),
    inference(scs_inference,[],[i_0_381,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62]) ).

cnf(i_0_406,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_407,plain,
    equidistant(X1,X2,extension(X1,X2,X3,X3),X1),
    inference(scs_inference,[],[i_0_61,i_0_231,i_0_381,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59]) ).

cnf(i_0_408,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X3,X4,X5,X5),X3),
    inference(rename_variables,[],[i_0_231]) ).

cnf(i_0_409,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_410,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(extension(X5,X6,X4,X3),X6,extension(X5,X6,X4,X3),extension(X5,X6,X4,X3)),extension(X5,X6,X4,X3)),
    inference(scs_inference,[],[i_0_61,i_0_357,i_0_231,i_0_381,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_411,plain,
    equidistant(X1,X2,extension(extension(X3,X4,X2,X1),X4,extension(X3,X4,X2,X1),extension(X3,X4,X2,X1)),extension(X3,X4,X2,X1)),
    inference(rename_variables,[],[i_0_357]) ).

cnf(i_0_412,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_413,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_3,lower_dimension_point_3)),
    inference(scs_inference,[],[i_0_327,i_0_61,i_0_357,i_0_231,i_0_381,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_414,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_415,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_3,lower_dimension_point_3),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_327,i_0_414,i_0_61,i_0_357,i_0_231,i_0_381,i_0_211,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_416,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_417,plain,
    ~ between(extension(lower_dimension_point_1,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_327,i_0_414,i_0_416,i_0_61,i_0_357,i_0_231,i_0_381,i_0_211,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_418,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_419,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X5,X7,X7),X5),X4,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_327,i_0_414,i_0_416,i_0_61,i_0_106,i_0_357,i_0_231,i_0_381,i_0_267,i_0_211,i_0_84,i_0_227,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_420,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_421,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_422,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_423,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_57]) ).

cnf(i_0_424,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_426,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),extension(X5,X6,X4,X3),X6),
    inference(scs_inference,[],[i_0_410,i_0_68]) ).

cnf(i_0_427,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_428,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(extension(X5,X6,X4,X3),X6,extension(X5,X6,X4,X3),extension(X5,X6,X4,X3)),extension(X5,X6,X4,X3)),
    inference(scs_inference,[],[i_0_410,i_0_68,i_0_63]) ).

cnf(i_0_429,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_430,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(extension(X5,X6,X4,X3),X6,extension(X5,X6,X4,X3),extension(X5,X6,X4,X3))),
    inference(scs_inference,[],[i_0_410,i_0_68,i_0_63,i_0_64]) ).

cnf(i_0_431,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_432,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),extension(X1,X2,X3,X4),X5,extension(X6,X5,X4,X3)),
    inference(scs_inference,[],[i_0_410,i_0_68,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_433,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_434,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),extension(X1,X2,X3,X4),extension(X5,X6,X4,X3),X6),
    inference(scs_inference,[],[i_0_410,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_435,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_436,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,extension(X1,X2,X3,X4),extension(X1,X2,X3,X4)),X5,extension(X6,X5,X4,X3)),
    inference(scs_inference,[],[i_0_410,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_437,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_438,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),extension(extension(X5,X6,X4,X3),X6,extension(X5,X6,X4,X3),extension(X5,X6,X4,X3))),
    inference(scs_inference,[],[i_0_410,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62]) ).

cnf(i_0_439,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_440,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X1,X2),X5,X5),X3),
    inference(scs_inference,[],[i_0_61,i_0_410,i_0_407,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59]) ).

cnf(i_0_441,plain,
    equidistant(X1,X2,extension(X1,X2,X3,X3),X1),
    inference(rename_variables,[],[i_0_407]) ).

cnf(i_0_442,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_443,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X3,X3)),X3,X4),
    inference(scs_inference,[],[i_0_61,i_0_410,i_0_190,i_0_407,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_444,plain,
    equidistant(X1,extension(X1,X2,X1,X1),X1,X2),
    inference(rename_variables,[],[i_0_190]) ).

cnf(i_0_445,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_446,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_447,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2,lower_dimension_point_2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_105,i_0_61,i_0_410,i_0_190,i_0_407,i_0_375,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_101]) ).

cnf(i_0_448,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_449,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_105,i_0_448,i_0_61,i_0_410,i_0_190,i_0_407,i_0_336,i_0_375,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_101,i_0_102]) ).

cnf(i_0_450,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_451,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),X5),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_105,i_0_448,i_0_450,i_0_61,i_0_410,i_0_190,i_0_407,i_0_336,i_0_338,i_0_375,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_101,i_0_102,i_0_100]) ).

cnf(i_0_452,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_453,plain,
    equidistant(X1,X1,X2,extension(X2,X2,X1,extension(X3,X1,X2,X2))),
    inference(scs_inference,[],[i_0_105,i_0_448,i_0_450,i_0_61,i_0_445,i_0_410,i_0_190,i_0_407,i_0_311,i_0_116,i_0_336,i_0_338,i_0_375,i_0_70,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_101,i_0_102,i_0_100,i_0_57]) ).

cnf(i_0_454,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
    inference(rename_variables,[],[i_0_116]) ).

cnf(i_0_455,plain,
    between(X1,extension(X2,X1,X3,X3),X1),
    inference(rename_variables,[],[i_0_311]) ).

cnf(i_0_456,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_457,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_458,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_57]) ).

cnf(i_0_459,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_460,plain,
    extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2) != lower_dimension_point_2,
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_462,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,extension(X6,X7,X4,X2),extension(X1,X2,X3,X3),X2),X7),
    inference(scs_inference,[],[i_0_419,i_0_68]) ).

cnf(i_0_463,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_464,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X5,X7,X7),X5),X3,X4,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_419,i_0_68,i_0_63]) ).

cnf(i_0_465,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_466,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X5,X7,X7),X5),X3,extension(X6,X5,X7,X7),X4),
    inference(scs_inference,[],[i_0_419,i_0_68,i_0_63,i_0_64]) ).

cnf(i_0_467,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_468,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,extension(X7,X5,X1,X3),extension(X2,X3,X4,X4),X3)),
    inference(scs_inference,[],[i_0_419,i_0_68,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_469,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_470,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,extension(X6,X7,X1,X3),extension(X2,X3,X4,X4),X3),X7),
    inference(scs_inference,[],[i_0_419,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_471,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_472,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,extension(X7,X5,X4,X2),extension(X1,X2,X3,X3),X2)),
    inference(scs_inference,[],[i_0_419,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_473,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_474,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X5,X7,X7),X5),extension(X6,X5,X7,X7),X4),
    inference(scs_inference,[],[i_0_419,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62]) ).

cnf(i_0_475,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_476,plain,
    equidistant(X1,X2,X2,extension(X2,X1,X3,X3)),
    inference(scs_inference,[],[i_0_110,i_0_419,i_0_233,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59]) ).

cnf(i_0_477,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,extension(X3,X4,X5,X5)),
    inference(rename_variables,[],[i_0_233]) ).

cnf(i_0_478,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_479,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X3,X3),X3),X4,X3),
    inference(scs_inference,[],[i_0_61,i_0_110,i_0_192,i_0_419,i_0_233,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_480,plain,
    equidistant(extension(X1,X2,X1,X1),X1,X2,X1),
    inference(rename_variables,[],[i_0_192]) ).

cnf(i_0_481,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_482,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_483,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(lower_dimension_point_1,extension(X5,lower_dimension_point_1,X6,X6),lower_dimension_point_1,lower_dimension_point_1)),
    inference(scs_inference,[],[i_0_327,i_0_61,i_0_110,i_0_192,i_0_419,i_0_233,i_0_209,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_484,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_485,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_3,lower_dimension_point_3),extension(X3,lower_dimension_point_1,X4,X4)),
    inference(scs_inference,[],[i_0_327,i_0_484,i_0_61,i_0_110,i_0_192,i_0_419,i_0_233,i_0_167,i_0_209,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_486,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_487,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_1,X4,X4)),
    inference(scs_inference,[],[i_0_218,i_0_327,i_0_484,i_0_61,i_0_110,i_0_192,i_0_419,i_0_233,i_0_449,i_0_167,i_0_209,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_488,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_449]) ).

cnf(i_0_489,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),X4),
    inference(rename_variables,[],[i_0_218]) ).

cnf(i_0_490,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X5)),X3,X3),
    inference(scs_inference,[],[i_0_218,i_0_327,i_0_484,i_0_61,i_0_481,i_0_110,i_0_192,i_0_419,i_0_233,i_0_367,i_0_449,i_0_311,i_0_167,i_0_209,i_0_120,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_491,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_367]) ).

cnf(i_0_492,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_493,plain,
    between(X1,extension(X2,X1,X3,X3),X1),
    inference(rename_variables,[],[i_0_311]) ).

cnf(i_0_494,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_495,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_57]) ).

cnf(i_0_496,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_497,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_2,X4)
    | ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2)
    | between(extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2,lower_dimension_point_3)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(scs_inference,[],[i_0_218,i_0_327,i_0_484,i_0_61,i_0_481,i_0_494,i_0_110,i_0_192,i_0_419,i_0_233,i_0_367,i_0_449,i_0_311,i_0_167,i_0_209,i_0_120,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_56]) ).

cnf(i_0_498,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X1,X2),
    inference(scs_inference,[],[i_0_476,i_0_68]) ).

cnf(i_0_499,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_500,plain,
    equidistant(X1,X2,X1,extension(X1,X2,X3,X3)),
    inference(scs_inference,[],[i_0_476,i_0_68,i_0_63]) ).

cnf(i_0_501,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_502,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(scs_inference,[],[i_0_476,i_0_371,i_0_68,i_0_63,i_0_64]) ).

cnf(i_0_503,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_504,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X2,X1),
    inference(scs_inference,[],[i_0_476,i_0_371,i_0_68,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_505,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_506,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(scs_inference,[],[i_0_476,i_0_371,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66]) ).

cnf(i_0_507,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_508,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X2,X1),
    inference(scs_inference,[],[i_0_476,i_0_371,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_509,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_510,plain,
    equidistant(X1,X2,extension(X2,X1,X3,X3),X2),
    inference(scs_inference,[],[i_0_476,i_0_371,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62]) ).

cnf(i_0_511,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_512,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(extension(X3,X4,X1,X2),X4,X5,X5)),
    inference(scs_inference,[],[i_0_61,i_0_476,i_0_371,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59]) ).

cnf(i_0_513,plain,
    equidistant(X1,X2,X2,extension(X2,X1,X3,X3)),
    inference(rename_variables,[],[i_0_476]) ).

cnf(i_0_514,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_515,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X3,X3),X3),X3,X4),
    inference(scs_inference,[],[i_0_61,i_0_194,i_0_476,i_0_371,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_516,plain,
    equidistant(extension(X1,X2,X1,X1),X1,X1,X2),
    inference(rename_variables,[],[i_0_194]) ).

cnf(i_0_517,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_518,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_519,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),X3)),
    inference(scs_inference,[],[i_0_220,i_0_61,i_0_194,i_0_476,i_0_371,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_520,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_521,plain,
    ~ between(extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),X3),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_220,i_0_520,i_0_61,i_0_194,i_0_476,i_0_371,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_522,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_523,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),lower_dimension_point_3),
    inference(scs_inference,[],[i_0_220,i_0_520,i_0_522,i_0_61,i_0_194,i_0_476,i_0_371,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_524,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_525,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),X2,X2),
    inference(scs_inference,[],[i_0_220,i_0_520,i_0_522,i_0_61,i_0_517,i_0_79,i_0_194,i_0_476,i_0_371,i_0_311,i_0_267,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_526,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_527,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_528,plain,
    between(X1,extension(X2,X1,X3,X3),X1),
    inference(rename_variables,[],[i_0_311]) ).

cnf(i_0_529,plain,
    equidistant(X1,X2,X2,X1),
    inference(rename_variables,[],[i_0_79]) ).

cnf(i_0_530,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_57]) ).

cnf(i_0_531,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_532,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_2,X4)
    | ~ equidistant(extension(X5,lower_dimension_point_3,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_3,X6,X6),X4)
    | between(extension(X5,lower_dimension_point_3,X6,X6),extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2)
    | between(extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2,extension(X5,lower_dimension_point_3,X6,X6))
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(scs_inference,[],[i_0_220,i_0_520,i_0_522,i_0_61,i_0_517,i_0_526,i_0_79,i_0_194,i_0_476,i_0_371,i_0_487,i_0_311,i_0_267,i_0_84,i_0_68,i_0_63,i_0_64,i_0_65,i_0_66,i_0_67,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_56]) ).

cnf(i_0_533,plain,
    equidistant(extension(X1,X1,X2,extension(X3,X2,X1,X1)),X1,X2,X2),
    inference(scs_inference,[],[i_0_453,i_0_68]) ).

cnf(i_0_534,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_535,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X2,X2),
    inference(scs_inference,[],[i_0_453,i_0_525,i_0_68,i_0_63]) ).

cnf(i_0_536,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_537,plain,
    equidistant(X1,X1,extension(X2,X1,X3,X3),extension(X4,X1,extension(X2,X1,X3,X3),X1)),
    inference(scs_inference,[],[i_0_453,i_0_525,i_0_68,i_0_63,i_0_65]) ).

cnf(i_0_538,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_539,plain,
    equidistant(X1,X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),extension(X3,X1,X4,X4)),
    inference(scs_inference,[],[i_0_453,i_0_525,i_0_68,i_0_63,i_0_65,i_0_66]) ).

cnf(i_0_540,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_541,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,X5,X5),extension(X1,X2,X3,X4),X3,X4),
    inference(scs_inference,[],[i_0_453,i_0_525,i_0_512,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_542,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_543,plain,
    equidistant(X1,X1,extension(X2,X2,X1,extension(X3,X1,X2,X2)),X2),
    inference(scs_inference,[],[i_0_453,i_0_525,i_0_512,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_544,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_545,plain,
    equidistant(X1,X2,extension(extension(X3,X4,X1,X2),X4,X5,X5),extension(X3,X4,X1,X2)),
    inference(scs_inference,[],[i_0_453,i_0_525,i_0_512,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_546,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_547,plain,
    equidistant(X1,X2,X3,extension(X3,extension(X4,X3,X1,X2),X5,X5)),
    inference(scs_inference,[],[i_0_61,i_0_500,i_0_453,i_0_525,i_0_512,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59]) ).

cnf(i_0_548,plain,
    equidistant(X1,X2,X1,extension(X1,X2,X3,X3)),
    inference(rename_variables,[],[i_0_500]) ).

cnf(i_0_549,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_550,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X3,X4),
    inference(scs_inference,[],[i_0_61,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_551,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X1,X2),
    inference(rename_variables,[],[i_0_498]) ).

cnf(i_0_552,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_553,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_554,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_105,i_0_61,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_207,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_555,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_556,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,extension(X6,X7,X8,X8),X7)),
    inference(scs_inference,[],[i_0_105,i_0_555,i_0_61,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_340,i_0_207,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_557,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_558,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_105,i_0_555,i_0_557,i_0_61,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_340,i_0_207,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_559,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_560,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X5,X5),X4,X5),
    inference(scs_inference,[],[i_0_105,i_0_555,i_0_557,i_0_61,i_0_552,i_0_106,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_340,i_0_207,i_0_227,i_0_120,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_561,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_562,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_563,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_564,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_57]) ).

cnf(i_0_565,plain,
    extension(extension(X1,X2,X3,X3),X2,X4,X4) = extension(X1,X2,X3,X3),
    inference(scs_inference,[],[i_0_105,i_0_555,i_0_557,i_0_61,i_0_552,i_0_106,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_340,i_0_207,i_0_227,i_0_120,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_566,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_567,plain,
    extension(X1,X2,X3,X3) = extension(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(scs_inference,[],[i_0_105,i_0_555,i_0_557,i_0_61,i_0_552,i_0_106,i_0_498,i_0_500,i_0_453,i_0_525,i_0_512,i_0_340,i_0_207,i_0_227,i_0_120,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_568,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_569,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_570,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_572,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),X4,X4),
    inference(scs_inference,[],[i_0_560,i_0_73]) ).

cnf(i_0_573,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X5,X5),X4,X5),
    inference(rename_variables,[],[i_0_560]) ).

cnf(i_0_574,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_575,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(scs_inference,[],[i_0_560,i_0_73,i_0_71]) ).

cnf(i_0_576,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_577,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(extension(X3,X4,X2,X1),X4,X5,X5)),
    inference(scs_inference,[],[i_0_541,i_0_560,i_0_73,i_0_71,i_0_68]) ).

cnf(i_0_578,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_579,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,X5,X5),X3,X4),
    inference(scs_inference,[],[i_0_541,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63]) ).

cnf(i_0_580,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_581,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X1,extension(X1,X2,X1,X1))),
    inference(scs_inference,[],[i_0_541,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65]) ).

cnf(i_0_582,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_583,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,X5,X5),extension(X1,X2,X3,X4),X4,X3),
    inference(scs_inference,[],[i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66]) ).

cnf(i_0_584,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_585,plain,
    equidistant(X1,X2,extension(extension(X3,X4,X2,X1),X4,X5,X5),extension(X3,X4,X2,X1)),
    inference(scs_inference,[],[i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67]) ).

cnf(i_0_586,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_587,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,X5,X5),X4,X3),
    inference(scs_inference,[],[i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_588,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_589,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X3,X3)),X4,X3),
    inference(scs_inference,[],[i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_590,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_591,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(scs_inference,[],[i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90]) ).

cnf(i_0_592,plain,
    equidistant(X1,X1,extension(X2,X3,extension(X4,X3,X5,X5),X3),extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_77,i_0_539,i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59]) ).

cnf(i_0_593,plain,
    equidistant(X1,X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),extension(X3,X1,X4,X4)),
    inference(rename_variables,[],[i_0_539]) ).

cnf(i_0_594,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_595,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X3,extension(X5,X3,X6,X6),X3),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_61,i_0_77,i_0_539,i_0_593,i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_596,plain,
    equidistant(X1,X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),extension(X3,X1,X4,X4)),
    inference(rename_variables,[],[i_0_539]) ).

cnf(i_0_597,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_598,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_599,plain,
    w != extension(X1,extension(X2,x,X3,X3),X3,X3),
    inference(scs_inference,[],[i_0_87,i_0_61,i_0_77,i_0_539,i_0_593,i_0_541,i_0_545,i_0_443,i_0_560,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_600,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_1,extension(X3,lower_dimension_point_1,X4,X4),lower_dimension_point_1,lower_dimension_point_1)),
    inference(scs_inference,[],[i_0_87,i_0_327,i_0_61,i_0_77,i_0_539,i_0_593,i_0_541,i_0_545,i_0_443,i_0_560,i_0_165,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_601,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_602,plain,
    ~ between(extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_3,lower_dimension_point_3),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_87,i_0_327,i_0_601,i_0_61,i_0_77,i_0_539,i_0_593,i_0_541,i_0_545,i_0_443,i_0_560,i_0_165,i_0_82,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_603,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_604,plain,
    ~ between(lower_dimension_point_3,extension(lower_dimension_point_1,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_1,lower_dimension_point_1),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_87,i_0_327,i_0_601,i_0_603,i_0_61,i_0_77,i_0_539,i_0_593,i_0_541,i_0_545,i_0_443,i_0_560,i_0_165,i_0_82,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_605,plain,
    extension(X1,extension(X2,X1,X3,X3),X1,X1) = X1,
    inference(rename_variables,[],[i_0_327]) ).

cnf(i_0_606,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X5,X5,X5,X5),X5),X4,X5),
    inference(scs_inference,[],[i_0_87,i_0_327,i_0_601,i_0_603,i_0_61,i_0_597,i_0_77,i_0_539,i_0_593,i_0_541,i_0_545,i_0_443,i_0_479,i_0_560,i_0_267,i_0_165,i_0_82,i_0_120,i_0_73,i_0_71,i_0_68,i_0_63,i_0_65,i_0_66,i_0_67,i_0_64,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_607,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X3,X3),X3),X4,X3),
    inference(rename_variables,[],[i_0_479]) ).

cnf(i_0_608,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_609,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_610,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_57]) ).

cnf(i_0_611,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_612,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_614,plain,
    extension(X1,lower_dimension_point_2,X2,X2) != lower_dimension_point_1,
    inference(scs_inference,[],[i_0_575,i_0_131]) ).

cnf(i_0_615,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_616,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),extension(X4,X4,X4,X4),X4),
    inference(scs_inference,[],[i_0_575,i_0_606,i_0_131,i_0_73]) ).

cnf(i_0_617,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X5,X5,X5,X5),X5),X4,X5),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_618,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_619,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),extension(X5,X6,X2,X2),X6),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68]) ).

cnf(i_0_620,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_621,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X3,extension(X5,X3,X6,X6),X3),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63]) ).

cnf(i_0_622,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_623,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),extension(X5,X6,X2,X2),X6),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_624,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_625,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),X5,extension(X6,X5,X2,X2)),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_626,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_627,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X3,X5,X5),extension(X6,X3,extension(X4,X3,X5,X5),X3)),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_628,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_629,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,extension(X6,X5,X2,X2)),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_630,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_631,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X3,X5,X5),extension(X6,X3,extension(X4,X3,X5,X5),X3)),
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_632,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_633,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X4,X4),X4) = X3,
    inference(scs_inference,[],[i_0_595,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_634,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,extension(X7,X5,X1,X2))),
    inference(scs_inference,[],[i_0_61,i_0_595,i_0_313,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59]) ).

cnf(i_0_635,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X1),extension(X5,X4,X1,X2)),
    inference(rename_variables,[],[i_0_313]) ).

cnf(i_0_636,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_637,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(extension(X5,X6,X4,X3),X6,X7,X7),extension(X5,X6,X4,X3)),
    inference(scs_inference,[],[i_0_61,i_0_595,i_0_585,i_0_313,i_0_575,i_0_606,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_638,plain,
    equidistant(X1,X2,extension(extension(X3,X4,X2,X1),X4,X5,X5),extension(X3,X4,X2,X1)),
    inference(rename_variables,[],[i_0_585]) ).

cnf(i_0_639,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_640,plain,
    w != extension(X1,extension(X2,x,X3,X3),X4,X4),
    inference(scs_inference,[],[i_0_567,i_0_61,i_0_595,i_0_585,i_0_313,i_0_575,i_0_606,i_0_599,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_641,plain,
    extension(X1,X2,X3,X3) = extension(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_567]) ).

cnf(i_0_642,plain,
    w != extension(X1,extension(X2,x,X3,X3),X3,X3),
    inference(rename_variables,[],[i_0_599]) ).

cnf(i_0_643,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X3,X3)),
    inference(scs_inference,[],[i_0_567,i_0_591,i_0_83,i_0_61,i_0_595,i_0_585,i_0_313,i_0_575,i_0_606,i_0_599,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_644,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(rename_variables,[],[i_0_591]) ).

cnf(i_0_645,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X3,X3),extension(X4,lower_dimension_point_3,X5,X5),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_567,i_0_591,i_0_644,i_0_83,i_0_61,i_0_595,i_0_585,i_0_313,i_0_575,i_0_606,i_0_599,i_0_487,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_646,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(rename_variables,[],[i_0_591]) ).

cnf(i_0_647,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X3,X3),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_567,i_0_591,i_0_644,i_0_646,i_0_83,i_0_61,i_0_595,i_0_585,i_0_313,i_0_575,i_0_606,i_0_599,i_0_487,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_648,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(rename_variables,[],[i_0_591]) ).

cnf(i_0_649,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X2,X2,X1,X1),extension(X4,X1,X2,X2),X1)),
    inference(scs_inference,[],[i_0_567,i_0_591,i_0_644,i_0_646,i_0_83,i_0_61,i_0_595,i_0_585,i_0_313,i_0_575,i_0_615,i_0_606,i_0_472,i_0_222,i_0_599,i_0_487,i_0_131,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_650,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,extension(X7,X5,X4,X2),extension(X1,X2,X3,X3),X2)),
    inference(rename_variables,[],[i_0_472]) ).

cnf(i_0_651,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_652,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),X7)),
    inference(rename_variables,[],[i_0_222]) ).

cnf(i_0_653,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_654,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_57]) ).

cnf(i_0_655,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_656,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_658,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),X5,X5),
    inference(scs_inference,[],[i_0_592,i_0_68]) ).

cnf(i_0_659,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_660,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(extension(X5,X6,X4,X3),X6,X7,X7),extension(X5,X6,X4,X3)),
    inference(scs_inference,[],[i_0_592,i_0_637,i_0_68,i_0_63]) ).

cnf(i_0_661,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_662,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_592,i_0_637,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_663,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_664,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,X5,X5),X6,extension(X7,X6,X4,X3)),
    inference(scs_inference,[],[i_0_592,i_0_637,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_665,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_666,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,extension(X2,X3,X4,X4),X3)),
    inference(scs_inference,[],[i_0_592,i_0_637,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_667,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_668,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,X5,X5),extension(X1,X2,X3,X4),X6,extension(X7,X6,X4,X3)),
    inference(scs_inference,[],[i_0_592,i_0_637,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_669,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_670,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),extension(extension(X5,X6,X4,X3),X6,X7,X7)),
    inference(scs_inference,[],[i_0_592,i_0_637,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_671,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_672,plain,
    equidistant(X1,X2,extension(X3,X4,X5,extension(X6,X5,X1,X2)),extension(X7,X4,X5,X5)),
    inference(scs_inference,[],[i_0_61,i_0_592,i_0_637,i_0_325,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_673,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(X5,X4,X1,X1)),
    inference(rename_variables,[],[i_0_325]) ).

cnf(i_0_674,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_675,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,extension(X6,X5,X7,X7),X5),extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_61,i_0_592,i_0_637,i_0_325,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_676,plain,
    equidistant(X1,X1,extension(X2,X3,extension(X4,X3,X5,X5),X3),extension(X4,X3,X5,X5)),
    inference(rename_variables,[],[i_0_592]) ).

cnf(i_0_677,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_678,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_679,plain,
    w != extension(X1,extension(X2,x,X3,X3),extension(X3,X3,X3,X3),X3),
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_61,i_0_592,i_0_637,i_0_325,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_680,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X4,X4),X4) = X3,
    inference(rename_variables,[],[i_0_633]) ).

cnf(i_0_681,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X3,X3,X3,X3),X3)),
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_680,i_0_83,i_0_61,i_0_592,i_0_637,i_0_325,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_682,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X4,X4),X4) = X3,
    inference(rename_variables,[],[i_0_633]) ).

cnf(i_0_683,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X3,X3),X3),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_680,i_0_682,i_0_83,i_0_61,i_0_592,i_0_637,i_0_325,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_684,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X4,X4),X4) = X3,
    inference(rename_variables,[],[i_0_633]) ).

cnf(i_0_685,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X3,X3,X3,X3),X3),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_680,i_0_682,i_0_684,i_0_83,i_0_61,i_0_592,i_0_637,i_0_325,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_686,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X4,X4),X4) = X3,
    inference(rename_variables,[],[i_0_633]) ).

cnf(i_0_687,plain,
    equidistant(X1,extension(X1,extension(X2,X1,X3,X4),X4,extension(X5,X4,X6,X6)),X3,X4),
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_680,i_0_682,i_0_684,i_0_83,i_0_61,i_0_677,i_0_592,i_0_637,i_0_325,i_0_490,i_0_70,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_688,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X5)),X3,X3),
    inference(rename_variables,[],[i_0_490]) ).

cnf(i_0_689,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_690,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_691,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_57]) ).

cnf(i_0_692,plain,
    X1 = extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_680,i_0_682,i_0_684,i_0_83,i_0_61,i_0_677,i_0_592,i_0_637,i_0_325,i_0_490,i_0_70,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_693,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_694,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(scs_inference,[],[i_0_87,i_0_633,i_0_680,i_0_682,i_0_684,i_0_83,i_0_61,i_0_677,i_0_592,i_0_637,i_0_325,i_0_490,i_0_70,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_695,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_696,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_697,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_699,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(extension(X5,X6,X4,X3),X6,X7,X7)),
    inference(scs_inference,[],[i_0_668,i_0_68]) ).

cnf(i_0_700,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_701,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,extension(X6,X5,X7,X7),X5),extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_668,i_0_675,i_0_68,i_0_63]) ).

cnf(i_0_702,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_703,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),extension(X5,X6,X7,X7),X6),
    inference(scs_inference,[],[i_0_668,i_0_675,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_704,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_705,plain,
    equidistant(extension(X1,X2,X3,X4),extension(extension(X1,X2,X3,X4),X2,X5,X5),extension(X6,X7,X4,X3),X7),
    inference(scs_inference,[],[i_0_660,i_0_668,i_0_675,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_706,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_707,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,X5,X5),extension(X1,X2,X3,X4),extension(X6,X7,X4,X3),X7),
    inference(scs_inference,[],[i_0_660,i_0_664,i_0_668,i_0_675,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_708,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_709,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_660,i_0_664,i_0_668,i_0_675,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_710,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_711,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,extension(X4,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_660,i_0_664,i_0_668,i_0_675,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_712,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_713,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,extension(X7,X5,X1,X2),X5)),
    inference(scs_inference,[],[i_0_61,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_714,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X1),extension(X5,X4,X2,X1)),
    inference(rename_variables,[],[i_0_393]) ).

cnf(i_0_715,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_716,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X5,X5)),X4,X3),
    inference(scs_inference,[],[i_0_61,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_717,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X2,X1),
    inference(rename_variables,[],[i_0_504]) ).

cnf(i_0_718,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_719,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_720,plain,
    w != extension(x,extension(X1,x,X2,X2),X2,extension(X3,X2,X4,X4)),
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_61,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_721,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_722,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(lower_dimension_point_1,extension(X1,lower_dimension_point_1,X2,X2),X2,extension(X3,X2,X4,X4))),
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_721,i_0_83,i_0_61,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_723,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_724,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),X2,extension(X3,X2,X4,X4)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_721,i_0_723,i_0_83,i_0_61,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_725,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_726,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),X2,extension(X3,X2,X4,X4)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_721,i_0_723,i_0_725,i_0_83,i_0_61,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_727,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_728,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X5,X5,X6,X6),X5),X4,X5),
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_721,i_0_723,i_0_725,i_0_83,i_0_61,i_0_718,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_550,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_729,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X3,X4),
    inference(rename_variables,[],[i_0_550]) ).

cnf(i_0_730,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_731,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_732,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_57]) ).

cnf(i_0_733,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),extension(X4,X4,X5,X5),X4),
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_721,i_0_723,i_0_725,i_0_83,i_0_61,i_0_718,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_550,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_734,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_735,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(scs_inference,[],[i_0_87,i_0_694,i_0_721,i_0_723,i_0_725,i_0_83,i_0_61,i_0_718,i_0_504,i_0_660,i_0_664,i_0_668,i_0_675,i_0_393,i_0_550,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_736,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_737,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_738,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_740,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),X5,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_701,i_0_68]) ).

cnf(i_0_741,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_742,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),extension(X5,X6,X7,X7),X6),
    inference(scs_inference,[],[i_0_701,i_0_703,i_0_68,i_0_63]) ).

cnf(i_0_743,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_744,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(X7,X5,extension(X4,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_701,i_0_703,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_745,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_746,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X5,X3,X6,X7)),X6,X7),
    inference(scs_inference,[],[i_0_701,i_0_703,i_0_672,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_747,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_748,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,extension(X7,X5,X2,X1))),
    inference(scs_inference,[],[i_0_701,i_0_703,i_0_672,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_749,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_750,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),extension(X7,X2,X3,X3),X5,X6),
    inference(scs_inference,[],[i_0_701,i_0_703,i_0_672,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_751,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_752,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X3,X1,X1),extension(X4,X1,X3,X3),X1),X3),
    inference(scs_inference,[],[i_0_701,i_0_703,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_753,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_754,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X2),X6),extension(X7,X4,X6,X6)),
    inference(scs_inference,[],[i_0_61,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_755,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X1,X1)),
    inference(rename_variables,[],[i_0_403]) ).

cnf(i_0_756,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_757,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X4,X3),
    inference(scs_inference,[],[i_0_61,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_758,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X2,X1),
    inference(rename_variables,[],[i_0_508]) ).

cnf(i_0_759,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_760,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_761,plain,
    w != extension(X1,extension(X2,x,X3,X3),extension(X3,X3,X4,X4),X3),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_61,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_762,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_763,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X3,X3,X4,X4),X3)),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_83,i_0_61,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_764,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_765,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X4,X4),X3),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_764,i_0_83,i_0_61,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_766,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_767,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X3,X3,X4,X4),X3),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_764,i_0_766,i_0_83,i_0_61,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_768,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_769,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X5,X5),X7),X4,X5),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_764,i_0_766,i_0_83,i_0_61,i_0_759,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_355,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_770,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X6,X5),
    inference(rename_variables,[],[i_0_355]) ).

cnf(i_0_771,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_772,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_773,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_57]) ).

cnf(i_0_774,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X3,extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_764,i_0_766,i_0_83,i_0_61,i_0_759,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_355,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_775,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_776,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = extension(X6,X2,X3,X3),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_764,i_0_766,i_0_83,i_0_61,i_0_759,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_355,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_777,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(scs_inference,[],[i_0_87,i_0_735,i_0_762,i_0_764,i_0_766,i_0_83,i_0_61,i_0_759,i_0_508,i_0_701,i_0_703,i_0_403,i_0_672,i_0_649,i_0_355,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90,i_0_71]) ).

cnf(i_0_778,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_779,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_780,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_782,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),extension(X5,X6,X4,X4),X6),
    inference(scs_inference,[],[i_0_769,i_0_73]) ).

cnf(i_0_783,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X5,X5),X7),X4,X5),
    inference(rename_variables,[],[i_0_769]) ).

cnf(i_0_784,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_785,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X3,X6,X7),X3),X7,X6),
    inference(scs_inference,[],[i_0_754,i_0_769,i_0_73,i_0_68]) ).

cnf(i_0_786,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_787,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X1),X6),extension(X7,X4,X6,X6)),
    inference(scs_inference,[],[i_0_754,i_0_769,i_0_73,i_0_68,i_0_63]) ).

cnf(i_0_788,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_789,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),extension(X7,X2,X4,X4),X6,X5),
    inference(scs_inference,[],[i_0_754,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_790,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_791,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X5,X3,X6,X7)),X7,X6),
    inference(scs_inference,[],[i_0_750,i_0_754,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_792,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_793,plain,
    equidistant(X1,X2,extension(X3,X4,X5,extension(X6,X5,X2,X1)),extension(X7,X4,X5,X5)),
    inference(scs_inference,[],[i_0_750,i_0_754,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_794,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_795,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),extension(X7,X2,X4,X4),X5,X6),
    inference(scs_inference,[],[i_0_750,i_0_754,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_796,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_797,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),extension(X7,X2,X3,X3),X6,X5),
    inference(scs_inference,[],[i_0_750,i_0_754,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_798,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_799,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(scs_inference,[],[i_0_750,i_0_754,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_800,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X2),X6),X4),
    inference(scs_inference,[],[i_0_61,i_0_750,i_0_754,i_0_118,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59]) ).

cnf(i_0_801,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),X4),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_802,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_803,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X4,X3,X5,X5),X4),
    inference(scs_inference,[],[i_0_61,i_0_510,i_0_750,i_0_754,i_0_118,i_0_769,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_804,plain,
    equidistant(X1,X2,extension(X2,X1,X3,X3),X2),
    inference(rename_variables,[],[i_0_510]) ).

cnf(i_0_805,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_806,plain,
    w != extension(X1,extension(X2,x,X3,X3),X4,extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_776,i_0_61,i_0_510,i_0_750,i_0_754,i_0_118,i_0_769,i_0_640,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_807,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = extension(X6,X2,X3,X3),
    inference(rename_variables,[],[i_0_776]) ).

cnf(i_0_808,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(lower_dimension_point_1,extension(X5,lower_dimension_point_1,X6,X6),X6,extension(X7,X6,X8,X8))),
    inference(scs_inference,[],[i_0_776,i_0_694,i_0_61,i_0_510,i_0_750,i_0_754,i_0_118,i_0_769,i_0_640,i_0_209,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_809,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_810,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_776,i_0_694,i_0_809,i_0_61,i_0_510,i_0_750,i_0_754,i_0_118,i_0_769,i_0_640,i_0_487,i_0_209,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_811,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_812,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,extension(X3,lower_dimension_point_3,X4,X4),X4,extension(X5,X4,X6,X6)),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_776,i_0_694,i_0_809,i_0_811,i_0_61,i_0_510,i_0_750,i_0_754,i_0_118,i_0_769,i_0_640,i_0_487,i_0_211,i_0_209,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_813,plain,
    extension(X1,extension(X2,X1,X3,X3),X3,extension(X4,X3,X5,X5)) = X1,
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_814,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X4,extension(X6,X4,X7,X7)),X3,extension(X6,X4,X7,X7)),
    inference(scs_inference,[],[i_0_776,i_0_694,i_0_809,i_0_811,i_0_61,i_0_108,i_0_510,i_0_750,i_0_754,i_0_118,i_0_769,i_0_777,i_0_640,i_0_487,i_0_211,i_0_227,i_0_209,i_0_73,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_815,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_816,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_817,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_818,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_57]) ).

cnf(i_0_819,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_820,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_822,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X2,extension(X1,X2,X3,X3)),extension(X7,X6,X4,X2)),
    inference(scs_inference,[],[i_0_814,i_0_68]) ).

cnf(i_0_823,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_824,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X7,X3),X7,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_814,i_0_68,i_0_63]) ).

cnf(i_0_825,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_826,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X3,extension(X2,X3,X4,X4)),extension(X7,X6,X1,X3)),
    inference(scs_inference,[],[i_0_814,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_827,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_828,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X7,X3),extension(X4,X3,X5,X5),X7),
    inference(scs_inference,[],[i_0_814,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_829,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_830,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X4,X2),extension(X7,X6,X2,extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_814,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_831,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_832,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X1,X3),extension(X7,X6,X3,extension(X2,X3,X4,X4))),
    inference(scs_inference,[],[i_0_814,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_833,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_834,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X4,extension(X6,X4,X7,X7)),extension(X6,X4,X7,X7),X3),
    inference(scs_inference,[],[i_0_814,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_835,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_836,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),extension(X6,X5,X1,X1),X5)),
    inference(scs_inference,[],[i_0_61,i_0_814,i_0_468,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_837,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,extension(X7,X5,X1,X3),extension(X2,X3,X4,X4),X3)),
    inference(rename_variables,[],[i_0_468]) ).

cnf(i_0_838,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_839,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_840,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),extension(X5,X6,X7,X7),X5),
    inference(scs_inference,[],[i_0_61,i_0_838,i_0_814,i_0_235,i_0_468,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_841,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X3,X4,X5,X5),X3),
    inference(rename_variables,[],[i_0_235]) ).

cnf(i_0_842,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_843,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_844,plain,
    w != extension(X1,extension(X2,x,X3,X3),extension(X4,X5,X3,X3),X5),
    inference(scs_inference,[],[i_0_87,i_0_799,i_0_61,i_0_838,i_0_814,i_0_235,i_0_468,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_845,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_846,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X4,X5,X3,X3),X5)),
    inference(scs_inference,[],[i_0_87,i_0_799,i_0_845,i_0_83,i_0_61,i_0_838,i_0_814,i_0_235,i_0_468,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_847,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_848,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),X5),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_799,i_0_845,i_0_847,i_0_83,i_0_61,i_0_838,i_0_814,i_0_235,i_0_468,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100]) ).

cnf(i_0_849,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_850,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),X5),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_87,i_0_799,i_0_845,i_0_847,i_0_849,i_0_83,i_0_61,i_0_838,i_0_814,i_0_235,i_0_468,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_851,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_852,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,extension(X6,X3,X7,X7)),X4,extension(X6,X3,X7,X7)),
    inference(scs_inference,[],[i_0_87,i_0_799,i_0_845,i_0_847,i_0_849,i_0_83,i_0_61,i_0_838,i_0_842,i_0_110,i_0_814,i_0_235,i_0_468,i_0_777,i_0_227,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_853,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_854,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_855,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_856,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_57]) ).

cnf(i_0_857,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_858,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_860,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X2,extension(X1,X2,X3,X3)),extension(X7,X6,X2,X4)),
    inference(scs_inference,[],[i_0_852,i_0_68]) ).

cnf(i_0_861,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_862,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X3,X7),X7,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_852,i_0_68,i_0_63]) ).

cnf(i_0_863,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_864,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X3,extension(X2,X3,X4,X4)),extension(X7,X6,X3,X1)),
    inference(scs_inference,[],[i_0_852,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_865,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_866,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X3,X7),extension(X4,X3,X5,X5),X7),
    inference(scs_inference,[],[i_0_852,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_867,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_868,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X2,X4),extension(X7,X6,X2,extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_852,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_869,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_870,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X3,X1),extension(X7,X6,X3,extension(X2,X3,X4,X4))),
    inference(scs_inference,[],[i_0_852,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_871,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_872,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,extension(X6,X3,X7,X7)),extension(X6,X3,X7,X7),X4),
    inference(scs_inference,[],[i_0_852,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_873,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_874,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X4,X5,X5),extension(X6,X5,X1,X1),X5),X4),
    inference(scs_inference,[],[i_0_61,i_0_852,i_0_470,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_875,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,extension(X6,X7,X1,X3),extension(X2,X3,X4,X4),X3),X7),
    inference(rename_variables,[],[i_0_470]) ).

cnf(i_0_876,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_877,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_878,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X5,X5)),X6,extension(X7,X6,X3,X4)),
    inference(scs_inference,[],[i_0_61,i_0_876,i_0_852,i_0_237,i_0_470,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_879,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,X4,X1,X2)),
    inference(rename_variables,[],[i_0_237]) ).

cnf(i_0_880,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_881,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_882,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X5,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_735,i_0_61,i_0_876,i_0_852,i_0_237,i_0_470,i_0_163,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_883,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_884,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_735,i_0_883,i_0_61,i_0_876,i_0_852,i_0_237,i_0_470,i_0_487,i_0_163,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_885,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_886,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X5,X5,X6,X6),X5),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_735,i_0_883,i_0_885,i_0_61,i_0_876,i_0_852,i_0_237,i_0_470,i_0_487,i_0_211,i_0_163,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_887,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X4,X4,X5,X5),X4) = X3,
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_888,plain,
    equidistant(X1,extension(X2,X3,X1,extension(X3,X1,X4,X4)),X3,extension(X3,X1,X4,X4)),
    inference(scs_inference,[],[i_0_735,i_0_883,i_0_885,i_0_61,i_0_876,i_0_880,i_0_79,i_0_852,i_0_237,i_0_470,i_0_777,i_0_487,i_0_211,i_0_163,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_889,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_890,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_891,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_892,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_57]) ).

cnf(i_0_893,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_894,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_896,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X1,X2,extension(X1,X2,X3,X3)),X2),
    inference(scs_inference,[],[i_0_888,i_0_68]) ).

cnf(i_0_897,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_898,plain,
    equidistant(extension(X1,X2,X3,extension(X2,X3,X4,X4)),X3,X2,extension(X2,X3,X4,X4)),
    inference(scs_inference,[],[i_0_888,i_0_68,i_0_63]) ).

cnf(i_0_899,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_900,plain,
    equidistant(X1,extension(X1,X2,X3,X3),extension(X4,X1,X2,extension(X1,X2,X3,X3)),X2),
    inference(scs_inference,[],[i_0_888,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_901,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_902,plain,
    equidistant(extension(X1,X2,X3,extension(X2,X3,X4,X4)),X3,extension(X2,X3,X4,X4),X2),
    inference(scs_inference,[],[i_0_888,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_903,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_904,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X2,extension(X4,X1,X2,extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_888,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_905,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_906,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X2,extension(X4,X1,X2,extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_888,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_907,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_908,plain,
    equidistant(X1,extension(X2,X3,X1,extension(X3,X1,X4,X4)),extension(X3,X1,X4,X4),X3),
    inference(scs_inference,[],[i_0_888,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_909,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_910,plain,
    equidistant(X1,X1,extension(X2,X2,X3,extension(X4,X3,X2,X2)),X2),
    inference(scs_inference,[],[i_0_77,i_0_888,i_0_543,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_911,plain,
    equidistant(X1,X1,extension(X2,X2,X1,extension(X3,X1,X2,X2)),X2),
    inference(rename_variables,[],[i_0_543]) ).

cnf(i_0_912,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_913,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X5,X5)),extension(X6,X7,X3,X4),X7),
    inference(scs_inference,[],[i_0_61,i_0_77,i_0_888,i_0_239,i_0_543,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_914,plain,
    equidistant(X1,extension(X1,X2,X3,X3),extension(X4,X5,X1,X2),X5),
    inference(rename_variables,[],[i_0_239]) ).

cnf(i_0_915,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_916,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_917,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X3,X3),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_591,i_0_61,i_0_77,i_0_888,i_0_239,i_0_543,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_100]) ).

cnf(i_0_918,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(rename_variables,[],[i_0_591]) ).

cnf(i_0_919,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),X5,X5)),
    inference(scs_inference,[],[i_0_591,i_0_918,i_0_61,i_0_77,i_0_888,i_0_239,i_0_543,i_0_165,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_100,i_0_102]) ).

cnf(i_0_920,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(rename_variables,[],[i_0_591]) ).

cnf(i_0_921,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X3,X3),extension(X4,lower_dimension_point_1,X5,X5)),
    inference(scs_inference,[],[i_0_591,i_0_918,i_0_920,i_0_61,i_0_77,i_0_888,i_0_239,i_0_543,i_0_165,i_0_167,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_100,i_0_102,i_0_101]) ).

cnf(i_0_922,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,X4) = X3,
    inference(rename_variables,[],[i_0_591]) ).

cnf(i_0_923,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X6,extension(X6,X6,X7,X7)),X4,extension(X8,X5,X6,X6)),
    inference(scs_inference,[],[i_0_591,i_0_918,i_0_920,i_0_61,i_0_915,i_0_77,i_0_888,i_0_239,i_0_878,i_0_543,i_0_777,i_0_165,i_0_167,i_0_227,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_100,i_0_102,i_0_101,i_0_57]) ).

cnf(i_0_924,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X5,X5)),X6,extension(X7,X6,X3,X4)),
    inference(rename_variables,[],[i_0_878]) ).

cnf(i_0_925,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_926,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_927,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_57]) ).

cnf(i_0_928,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_929,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_931,plain,
    equidistant(X1,extension(X1,X2,X3,X3),extension(X4,X5,X2,X1),X5),
    inference(scs_inference,[],[i_0_803,i_0_68]) ).

cnf(i_0_932,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_933,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X4,X3,X5,X5),X4),
    inference(scs_inference,[],[i_0_803,i_0_68,i_0_63]) ).

cnf(i_0_934,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_935,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X5,X2,X1),X5),
    inference(scs_inference,[],[i_0_803,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_936,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_937,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_803,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_938,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_939,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,X4,X2,X1)),
    inference(scs_inference,[],[i_0_803,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_940,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_941,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,X2,X1)),
    inference(scs_inference,[],[i_0_803,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_942,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_943,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_803,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_944,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_945,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X1,X2),X6)),
    inference(scs_inference,[],[i_0_61,i_0_803,i_0_116,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_946,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X2,X1)),
    inference(rename_variables,[],[i_0_116]) ).

cnf(i_0_947,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_948,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X6,extension(X7,X6,X3,X4)),
    inference(scs_inference,[],[i_0_61,i_0_241,i_0_803,i_0_116,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_949,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,X1,X2)),
    inference(rename_variables,[],[i_0_241]) ).

cnf(i_0_950,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_951,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_952,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X7,X7),X9)),
    inference(scs_inference,[],[i_0_799,i_0_61,i_0_241,i_0_803,i_0_116,i_0_209,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_953,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_954,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_799,i_0_953,i_0_61,i_0_241,i_0_803,i_0_116,i_0_209,i_0_211,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_955,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_956,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),X5),extension(X6,lower_dimension_point_3,X7,X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_799,i_0_953,i_0_955,i_0_61,i_0_241,i_0_803,i_0_116,i_0_487,i_0_209,i_0_211,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_957,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6) = X3,
    inference(rename_variables,[],[i_0_799]) ).

cnf(i_0_958,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X5,extension(X5,X5,X6,X6)),X4,X5),
    inference(scs_inference,[],[i_0_799,i_0_953,i_0_955,i_0_61,i_0_950,i_0_241,i_0_803,i_0_716,i_0_116,i_0_777,i_0_487,i_0_209,i_0_211,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_959,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X3,X4,X5,X5)),X4,X3),
    inference(rename_variables,[],[i_0_716]) ).

cnf(i_0_960,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_961,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_962,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_57]) ).

cnf(i_0_963,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),X4,extension(X4,X4,X5,X5)),
    inference(scs_inference,[],[i_0_799,i_0_953,i_0_955,i_0_61,i_0_950,i_0_241,i_0_803,i_0_716,i_0_116,i_0_777,i_0_487,i_0_209,i_0_211,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73]) ).

cnf(i_0_964,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_965,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(scs_inference,[],[i_0_799,i_0_953,i_0_955,i_0_61,i_0_950,i_0_241,i_0_803,i_0_716,i_0_116,i_0_777,i_0_487,i_0_209,i_0_211,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_966,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_967,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_968,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_970,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,extension(X6,X7,X4,X2),X3,extension(X3,X3,X8,X8)),X7),
    inference(scs_inference,[],[i_0_923,i_0_68]) ).

cnf(i_0_971,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_972,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,extension(X6,X6,X7,X7)),X3,X4,extension(X8,X5,X6,X6)),
    inference(scs_inference,[],[i_0_923,i_0_68,i_0_63]) ).

cnf(i_0_973,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_974,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,extension(X6,X7,X1,X3),X4,extension(X4,X4,X8,X8)),X7),
    inference(scs_inference,[],[i_0_923,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_975,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_976,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,extension(X6,X6,X7,X7)),X3,extension(X8,X5,X6,X6),X4),
    inference(scs_inference,[],[i_0_923,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_977,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_978,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,extension(X7,X5,X4,X2),X3,extension(X3,X3,X8,X8))),
    inference(scs_inference,[],[i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_979,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_980,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,extension(X7,X5,X1,X3),X4,extension(X4,X4,X8,X8))),
    inference(scs_inference,[],[i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_981,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_982,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X6,extension(X6,X6,X7,X7)),extension(X8,X5,X6,X6),X4),
    inference(scs_inference,[],[i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_983,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_984,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X4,X5,X5),X1,extension(X1,X1,X6,X6)),X4),
    inference(scs_inference,[],[i_0_61,i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_985,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_986,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_987,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),extension(X7,X4,X5,X5)),X5,X6),
    inference(scs_inference,[],[i_0_61,i_0_985,i_0_315,i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_988,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_989,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_990,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X3,extension(X3,X3,X4,X4))),
    inference(scs_inference,[],[i_0_965,i_0_83,i_0_61,i_0_985,i_0_315,i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_991,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_992,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X3,extension(X3,X3,X4,X4)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_965,i_0_991,i_0_83,i_0_61,i_0_985,i_0_315,i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_993,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_994,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X3,extension(X3,X3,X4,X4)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_965,i_0_991,i_0_993,i_0_83,i_0_61,i_0_985,i_0_315,i_0_923,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_995,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_996,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X6,X7,X7),X6),X4,extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_965,i_0_991,i_0_993,i_0_83,i_0_61,i_0_985,i_0_988,i_0_315,i_0_923,i_0_948,i_0_267,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_997,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X6,extension(X7,X6,X3,X4)),
    inference(rename_variables,[],[i_0_948]) ).

cnf(i_0_998,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_999,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_1000,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_57]) ).

cnf(i_0_1001,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(scs_inference,[],[i_0_965,i_0_991,i_0_993,i_0_83,i_0_61,i_0_985,i_0_988,i_0_315,i_0_923,i_0_948,i_0_267,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_1002,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1003,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(scs_inference,[],[i_0_965,i_0_991,i_0_993,i_0_83,i_0_61,i_0_985,i_0_988,i_0_315,i_0_923,i_0_948,i_0_267,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1004,plain,
    w != extension(X1,x,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),
    inference(scs_inference,[],[i_0_87,i_0_965,i_0_991,i_0_993,i_0_83,i_0_61,i_0_985,i_0_988,i_0_315,i_0_923,i_0_948,i_0_267,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90,i_0_91]) ).

cnf(i_0_1005,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1006,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_1007,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1009,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),extension(X9,X7,X8,X8))),
    inference(scs_inference,[],[i_0_1003,i_0_71]) ).

cnf(i_0_1010,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1011,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_1012,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,extension(X5,X6,X1,X2),extension(X3,X3,X7,X7),X3),X6),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68]) ).

cnf(i_0_1013,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1014,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X6,X7,X7),X6),X3,X4,extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68,i_0_63]) ).

cnf(i_0_1015,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1016,plain,
    equidistant(X1,extension(X1,X2,X3,X3),extension(X4,extension(X5,X6,X1,X2),extension(X3,X3,X7,X7),X3),X6),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1017,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1018,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X6,X7,X7),X6),X3,extension(X4,X5,X6,X6),X4),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1019,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1020,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,extension(X6,X4,X1,X2),extension(X3,X3,X7,X7),X3)),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1021,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1022,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X6,X7,X7),X6),extension(X4,X5,X6,X6),X4),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1023,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1024,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,extension(X6,X4,X1,X2),extension(X3,X3,X7,X7),X3)),
    inference(scs_inference,[],[i_0_1003,i_0_996,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1025,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1026,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),X1,extension(X1,X1,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_61,i_0_996,i_0_980,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1027,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,extension(X7,X5,X1,X3),X4,extension(X4,X4,X8,X8))),
    inference(rename_variables,[],[i_0_980]) ).

cnf(i_0_1028,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1029,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1030,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X7)),X7,X5),
    inference(scs_inference,[],[i_0_1003,i_0_61,i_0_1028,i_0_996,i_0_317,i_0_980,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1031,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1032,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1033,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4))),
    inference(scs_inference,[],[i_0_1003,i_0_1010,i_0_83,i_0_61,i_0_1028,i_0_996,i_0_317,i_0_980,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1034,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1035,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1003,i_0_1010,i_0_1034,i_0_83,i_0_61,i_0_1028,i_0_996,i_0_317,i_0_980,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1036,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1037,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1003,i_0_1010,i_0_1034,i_0_1036,i_0_83,i_0_61,i_0_1028,i_0_996,i_0_317,i_0_980,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1038,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1039,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X5,X5),extension(X6,X7,X5,X5)),X4,X5),
    inference(scs_inference,[],[i_0_1003,i_0_1010,i_0_1034,i_0_1036,i_0_83,i_0_61,i_0_1028,i_0_1031,i_0_996,i_0_317,i_0_980,i_0_987,i_0_227,i_0_120,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1040,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),extension(X7,X4,X5,X5)),X5,X6),
    inference(rename_variables,[],[i_0_987]) ).

cnf(i_0_1041,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_1042,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1043,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_57]) ).

cnf(i_0_1044,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)),
    inference(scs_inference,[],[i_0_1003,i_0_1010,i_0_1034,i_0_1036,i_0_83,i_0_61,i_0_1028,i_0_1031,i_0_996,i_0_317,i_0_980,i_0_987,i_0_227,i_0_120,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_1045,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1046,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(scs_inference,[],[i_0_1003,i_0_1010,i_0_1034,i_0_1036,i_0_83,i_0_61,i_0_1028,i_0_1031,i_0_996,i_0_317,i_0_980,i_0_987,i_0_227,i_0_120,i_0_71,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1047,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1048,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_1049,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1051,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X3,X6,X7),X3),X6,X7),
    inference(scs_inference,[],[i_0_787,i_0_68]) ).

cnf(i_0_1052,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1053,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,extension(X5,X6,X7,X7),X5),
    inference(scs_inference,[],[i_0_787,i_0_840,i_0_68,i_0_63]) ).

cnf(i_0_1054,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1055,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,extension(X7,X5,X2,X1),X5)),
    inference(scs_inference,[],[i_0_787,i_0_789,i_0_840,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1056,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1057,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X5,extension(X5,X6,X7,X7)),
    inference(scs_inference,[],[i_0_787,i_0_789,i_0_840,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1058,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1059,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,X4,extension(X6,X7,X1,X2),X7)),
    inference(scs_inference,[],[i_0_787,i_0_789,i_0_840,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1060,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1061,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X5,extension(X5,X6,X7,X7)),
    inference(scs_inference,[],[i_0_787,i_0_789,i_0_840,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1062,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1063,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,extension(X6,X7,X1,X2),X7)),
    inference(scs_inference,[],[i_0_787,i_0_789,i_0_840,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1064,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1065,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X4,X5,X5),extension(X1,X1,X6,X6),X1),X4),
    inference(scs_inference,[],[i_0_108,i_0_787,i_0_789,i_0_840,i_0_1012,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1066,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,extension(X5,X6,X1,X2),extension(X3,X3,X7,X7),X3),X6),
    inference(rename_variables,[],[i_0_1012]) ).

cnf(i_0_1067,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_1068,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1069,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X7)),X5,X7),
    inference(scs_inference,[],[i_0_61,i_0_108,i_0_319,i_0_787,i_0_789,i_0_840,i_0_1012,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1070,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1071,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1072,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3))),
    inference(scs_inference,[],[i_0_1046,i_0_83,i_0_61,i_0_108,i_0_319,i_0_787,i_0_789,i_0_840,i_0_1012,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1073,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1074,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),extension(X6,lower_dimension_point_3,X7,X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1046,i_0_1073,i_0_83,i_0_61,i_0_108,i_0_319,i_0_787,i_0_789,i_0_840,i_0_1012,i_0_487,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1075,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1076,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1046,i_0_1073,i_0_1075,i_0_83,i_0_61,i_0_108,i_0_319,i_0_787,i_0_789,i_0_840,i_0_1012,i_0_487,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1077,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1078,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X2,X2,X1,X1),extension(X2,X2,X4,X4),X2)),
    inference(scs_inference,[],[i_0_1046,i_0_1073,i_0_1075,i_0_83,i_0_61,i_0_1070,i_0_108,i_0_319,i_0_787,i_0_789,i_0_840,i_0_1012,i_0_1020,i_0_575,i_0_222,i_0_487,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1079,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,extension(X6,X4,X1,X2),extension(X3,X3,X7,X7),X3)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1080,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1081,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),X7)),
    inference(rename_variables,[],[i_0_222]) ).

cnf(i_0_1082,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1083,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_57]) ).

cnf(i_0_1084,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1085,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1087,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,extension(X3,X4,X7,X7)),X6),
    inference(scs_inference,[],[i_0_913,i_0_68]) ).

cnf(i_0_1088,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1089,plain,
    equidistant(extension(X1,X2,X3,extension(X3,X4,X5,X5)),X2,extension(X6,X7,X3,X4),X7),
    inference(scs_inference,[],[i_0_913,i_0_68,i_0_63]) ).

cnf(i_0_1090,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1091,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X3,extension(X3,X4,X7,X7)),X6),
    inference(scs_inference,[],[i_0_913,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1092,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1093,plain,
    equidistant(extension(X1,X2,X3,extension(X3,X4,X5,X5)),X2,X6,extension(X7,X6,X3,X4)),
    inference(scs_inference,[],[i_0_913,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1094,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1095,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X5,extension(X6,X5,X3,extension(X3,X4,X7,X7))),
    inference(scs_inference,[],[i_0_913,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1096,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1097,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X3,X1,X1),extension(X3,X3,X4,X4),X3),X3),
    inference(scs_inference,[],[i_0_913,i_0_1078,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1098,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1099,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X3,extension(X3,X4,X7,X7))),
    inference(scs_inference,[],[i_0_913,i_0_1078,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1100,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1101,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),extension(X1,X1,X6,X6),X1)),
    inference(scs_inference,[],[i_0_61,i_0_913,i_0_1078,i_0_1024,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1102,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,extension(X6,X4,X1,X2),extension(X3,X3,X7,X7),X3)),
    inference(rename_variables,[],[i_0_1024]) ).

cnf(i_0_1103,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1104,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1105,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(scs_inference,[],[i_0_61,i_0_1103,i_0_321,i_0_913,i_0_1078,i_0_1024,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1106,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X2,X2)),
    inference(rename_variables,[],[i_0_321]) ).

cnf(i_0_1107,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1108,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X5,X5),extension(X6,X7,X5,X5))),
    inference(scs_inference,[],[i_0_1046,i_0_61,i_0_1103,i_0_321,i_0_913,i_0_1078,i_0_1024,i_0_163,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1109,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1110,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),extension(X6,X7,X5,X5)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1046,i_0_1109,i_0_61,i_0_1103,i_0_321,i_0_913,i_0_1078,i_0_1024,i_0_163,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1111,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1112,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1046,i_0_1109,i_0_1111,i_0_61,i_0_1103,i_0_321,i_0_913,i_0_1078,i_0_1024,i_0_163,i_0_82,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1113,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1114,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),extension(X5,X6,X4,X4),X6),X4,extension(X4,X4,X7,X7)),
    inference(scs_inference,[],[i_0_1046,i_0_1109,i_0_1111,i_0_61,i_0_1103,i_0_321,i_0_913,i_0_1061,i_0_1078,i_0_1024,i_0_163,i_0_82,i_0_267,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1115,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X5,extension(X5,X6,X7,X7)),
    inference(rename_variables,[],[i_0_1061]) ).

cnf(i_0_1116,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_1117,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_1118,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1119,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_57]) ).

cnf(i_0_1120,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1121,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1123,plain,
    equidistant(extension(X1,X1,X2,X2),X1,extension(X3,extension(X4,X5,X1,X1),extension(X6,X7,X1,X1),X7),X5),
    inference(scs_inference,[],[i_0_1114,i_0_68]) ).

cnf(i_0_1124,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1125,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6),X3,X4,extension(X4,X4,X7,X7)),
    inference(scs_inference,[],[i_0_1114,i_0_68,i_0_63]) ).

cnf(i_0_1126,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1127,plain,
    equidistant(X1,extension(X1,X1,X2,X2),extension(X3,extension(X4,X5,X1,X1),extension(X6,X7,X1,X1),X7),X5),
    inference(scs_inference,[],[i_0_1114,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1128,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1129,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6),X3,extension(X4,X4,X7,X7),X4),
    inference(scs_inference,[],[i_0_1114,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1130,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1131,plain,
    equidistant(extension(X1,X1,X2,X2),X1,X3,extension(X4,extension(X5,X3,X1,X1),extension(X6,X7,X1,X1),X7)),
    inference(scs_inference,[],[i_0_1114,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1132,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1133,plain,
    equidistant(X1,extension(X1,X1,X2,X2),X3,extension(X4,extension(X5,X3,X1,X1),extension(X6,X7,X1,X1),X7)),
    inference(scs_inference,[],[i_0_1114,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_1134,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1135,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),extension(X5,X6,X4,X4),X6),extension(X4,X4,X7,X7),X4),
    inference(scs_inference,[],[i_0_1114,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_1136,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1137,plain,
    equidistant(X1,X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_61,i_0_1114,i_0_1059,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1138,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X4,extension(X5,X4,extension(X6,X7,X1,X2),X7)),
    inference(rename_variables,[],[i_0_1059]) ).

cnf(i_0_1139,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1140,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1141,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(scs_inference,[],[i_0_61,i_0_1139,i_0_1114,i_0_323,i_0_1059,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1142,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X2),extension(X5,X4,X2,X1)),
    inference(rename_variables,[],[i_0_323]) ).

cnf(i_0_1143,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1144,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),X5,extension(X5,X5,X6,X6))),
    inference(scs_inference,[],[i_0_965,i_0_61,i_0_1139,i_0_1114,i_0_323,i_0_1059,i_0_165,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1145,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_1146,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X3,extension(X3,X3,X4,X4)),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_965,i_0_1145,i_0_61,i_0_1139,i_0_1114,i_0_323,i_0_1059,i_0_165,i_0_167,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1147,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_1148,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X3,extension(X3,X3,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_965,i_0_1145,i_0_1147,i_0_61,i_0_1139,i_0_1114,i_0_323,i_0_1059,i_0_165,i_0_167,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1149,plain,
    extension(X1,extension(X2,X3,X4,X4),X4,extension(X4,X4,X5,X5)) = X3,
    inference(rename_variables,[],[i_0_965]) ).

cnf(i_0_1150,plain,
    equidistant(X1,X1,X2,extension(X3,X2,X2,extension(X2,X2,X4,X4))),
    inference(scs_inference,[],[i_0_965,i_0_1145,i_0_1147,i_0_61,i_0_1139,i_0_1114,i_0_323,i_0_1059,i_0_1099,i_0_575,i_0_777,i_0_165,i_0_167,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1151,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X3,extension(X3,X4,X7,X7))),
    inference(rename_variables,[],[i_0_1099]) ).

cnf(i_0_1152,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1153,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1154,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1155,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_57]) ).

cnf(i_0_1156,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1157,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1159,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,X7,X5,X3),X7),
    inference(scs_inference,[],[i_0_1105,i_0_68]) ).

cnf(i_0_1160,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1161,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(scs_inference,[],[i_0_1105,i_0_68,i_0_63]) ).

cnf(i_0_1162,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1163,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,X7,X4,X3),X7),
    inference(scs_inference,[],[i_0_1105,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1164,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1165,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(scs_inference,[],[i_0_1105,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1166,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1167,plain,
    equidistant(X1,extension(X1,X2,X3,X3),extension(X4,X5,extension(X6,X7,X1,X2),X7),X5),
    inference(scs_inference,[],[i_0_1053,i_0_1105,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1168,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1169,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X5,extension(X6,X7,X1,X2),X7),X5),
    inference(scs_inference,[],[i_0_1053,i_0_1105,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_1170,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1171,plain,
    equidistant(X1,X2,extension(X3,X4,X1,extension(X1,X2,X1,X1)),X4),
    inference(scs_inference,[],[i_0_1053,i_0_1105,i_0_581,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_1172,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1173,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X4,X5,X5),extension(X6,X7,X5,X5),X7),X4),
    inference(scs_inference,[],[i_0_110,i_0_1053,i_0_1105,i_0_581,i_0_1123,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1174,plain,
    equidistant(extension(X1,X1,X2,X2),X1,extension(X3,extension(X4,X5,X1,X1),extension(X6,X7,X1,X1),X7),X5),
    inference(rename_variables,[],[i_0_1123]) ).

cnf(i_0_1175,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1176,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1177,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X7,X5)),X7,X5),
    inference(scs_inference,[],[i_0_61,i_0_110,i_0_395,i_0_1053,i_0_1105,i_0_581,i_0_1123,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1178,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1179,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1180,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,extension(X6,X7,X8,X8),extension(X9,X7,X8,X8))),
    inference(scs_inference,[],[i_0_1003,i_0_61,i_0_110,i_0_395,i_0_1053,i_0_1105,i_0_581,i_0_1123,i_0_209,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1181,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1182,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6)),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1003,i_0_1181,i_0_61,i_0_110,i_0_395,i_0_1053,i_0_1105,i_0_581,i_0_1123,i_0_209,i_0_211,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1183,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1184,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_3,X7,X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1003,i_0_1181,i_0_1183,i_0_61,i_0_110,i_0_395,i_0_1053,i_0_1105,i_0_581,i_0_1123,i_0_209,i_0_211,i_0_487,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1185,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1186,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X5,X4,X4,extension(X4,X4,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_1181,i_0_1183,i_0_61,i_0_1178,i_0_110,i_0_395,i_0_1053,i_0_1105,i_0_581,i_0_1150,i_0_1123,i_0_777,i_0_209,i_0_211,i_0_487,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1187,plain,
    equidistant(X1,X1,X2,extension(X3,X2,X2,extension(X2,X2,X4,X4))),
    inference(rename_variables,[],[i_0_1150]) ).

cnf(i_0_1188,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1189,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1190,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_57]) ).

cnf(i_0_1191,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1192,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1194,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X6,extension(X7,X6,X5,X3)),
    inference(scs_inference,[],[i_0_1161,i_0_68]) ).

cnf(i_0_1195,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1196,plain,
    equidistant(X1,X2,extension(X3,X4,X2,extension(X2,X1,X2,X2)),X4),
    inference(scs_inference,[],[i_0_1161,i_0_1171,i_0_68,i_0_63]) ).

cnf(i_0_1197,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1198,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X6,extension(X7,X6,X4,X3)),
    inference(scs_inference,[],[i_0_1161,i_0_1171,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1199,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1200,plain,
    equidistant(X1,X1,X2,extension(X2,X2,X3,extension(X4,X3,X2,X2))),
    inference(scs_inference,[],[i_0_1161,i_0_910,i_0_1171,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1201,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1202,plain,
    equidistant(X1,extension(X2,extension(X1,X1,X3,X3),extension(X4,X3,X1,X1),X3),X3,X3),
    inference(scs_inference,[],[i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1203,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1204,plain,
    equidistant(extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3),X2,X3,X3),
    inference(scs_inference,[],[i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65]) ).

cnf(i_0_1205,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1206,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X5,X5),extension(X6,X7,X5,X5)),X5,X4),
    inference(scs_inference,[],[i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62]) ).

cnf(i_0_1207,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1208,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),extension(X6,X7,X5,X5),X7)),
    inference(scs_inference,[],[i_0_61,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1209,plain,
    equidistant(X1,extension(X1,X1,X2,X2),X3,extension(X4,extension(X5,X3,X1,X1),extension(X6,X7,X1,X1),X7)),
    inference(rename_variables,[],[i_0_1133]) ).

cnf(i_0_1210,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1211,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1212,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X7,X5)),X5,X7),
    inference(scs_inference,[],[i_0_61,i_0_1210,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1213,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1214,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1215,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3))),
    inference(scs_inference,[],[i_0_1046,i_0_61,i_0_1210,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1216,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1217,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1046,i_0_1216,i_0_61,i_0_1210,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_167,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1218,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1219,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_1046,i_0_1216,i_0_1218,i_0_61,i_0_1210,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_167,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1220,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X5,X6,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1046]) ).

cnf(i_0_1221,plain,
    equidistant(X1,extension(X2,X3,X1,extension(X4,X1,X5,X5)),X3,extension(X4,X1,X5,X5)),
    inference(scs_inference,[],[i_0_1046,i_0_1216,i_0_1218,i_0_61,i_0_1210,i_0_1213,i_0_79,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_167,i_0_777,i_0_84,i_0_227,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1222,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1223,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1224,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_1225,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_57]) ).

cnf(i_0_1226,plain,
    X1 = extension(X2,extension(X1,X1,X3,X3),extension(X4,X3,X1,X1),X3),
    inference(scs_inference,[],[i_0_1046,i_0_1216,i_0_1218,i_0_61,i_0_1210,i_0_1213,i_0_79,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_167,i_0_777,i_0_84,i_0_227,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73]) ).

cnf(i_0_1227,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1228,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(scs_inference,[],[i_0_1046,i_0_1216,i_0_1218,i_0_61,i_0_1210,i_0_1213,i_0_79,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_167,i_0_777,i_0_84,i_0_227,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1229,plain,
    w != extension(X1,extension(x,x,X2,X2),extension(X3,X2,x,x),X2),
    inference(scs_inference,[],[i_0_87,i_0_1046,i_0_1216,i_0_1218,i_0_61,i_0_1210,i_0_1213,i_0_79,i_0_397,i_0_1161,i_0_752,i_0_910,i_0_1171,i_0_1039,i_0_1133,i_0_167,i_0_777,i_0_84,i_0_227,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90,i_0_91]) ).

cnf(i_0_1230,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1231,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_1232,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1234,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),X1,extension(X3,X1,X4,X4)),
    inference(scs_inference,[],[i_0_1221,i_0_73]) ).

cnf(i_0_1235,plain,
    equidistant(X1,extension(X2,X3,X1,extension(X4,X1,X5,X5)),X3,extension(X4,X1,X5,X5)),
    inference(rename_variables,[],[i_0_1221]) ).

cnf(i_0_1236,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1237,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X4,X2,extension(X1,X2,X3,X3)),X2),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68]) ).

cnf(i_0_1238,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1239,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),X3,X2,extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63]) ).

cnf(i_0_1240,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1241,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X1,X3,extension(X2,X3,X4,X4)),X3),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1242,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1243,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,extension(X5,X4,X2,extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1244,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1245,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),X3,extension(X4,X3,X5,X5),X2),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1246,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1247,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X3,extension(X5,X1,X3,extension(X2,X3,X4,X4))),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1248,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1249,plain,
    equidistant(X1,extension(X2,X3,X1,extension(X4,X1,X5,X5)),extension(X4,X1,X5,X5),X3),
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1250,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1251,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(scs_inference,[],[i_0_1221,i_0_1235,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_1252,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X3,X4,X4),extension(X3,X3,X5,X5),X3),X3),
    inference(scs_inference,[],[i_0_77,i_0_1221,i_0_1235,i_0_1097,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59]) ).

cnf(i_0_1253,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X3,X1,X1),extension(X3,X3,X4,X4),X3),X3),
    inference(rename_variables,[],[i_0_1097]) ).

cnf(i_0_1254,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1255,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,X4),extension(X7,X6,X4,X4)),
    inference(scs_inference,[],[i_0_61,i_0_77,i_0_1221,i_0_1235,i_0_399,i_0_1097,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58]) ).

cnf(i_0_1256,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(X5,X4,X2,X2)),
    inference(rename_variables,[],[i_0_399]) ).

cnf(i_0_1257,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1258,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(lower_dimension_point_1,lower_dimension_point_1,X2,X2),extension(X3,X2,lower_dimension_point_1,lower_dimension_point_1),X2)),
    inference(scs_inference,[],[i_0_1228,i_0_83,i_0_61,i_0_77,i_0_1221,i_0_1235,i_0_399,i_0_1097,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1259,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1260,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(lower_dimension_point_3,lower_dimension_point_3,X2,X2),extension(X3,X2,lower_dimension_point_3,lower_dimension_point_3),X2),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1228,i_0_1259,i_0_83,i_0_61,i_0_77,i_0_1221,i_0_1235,i_0_399,i_0_1097,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1261,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1262,plain,
    ~ between(extension(X1,extension(lower_dimension_point_2,lower_dimension_point_2,X2,X2),extension(X3,X2,lower_dimension_point_2,lower_dimension_point_2),X2),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1228,i_0_1259,i_0_1261,i_0_83,i_0_61,i_0_77,i_0_1221,i_0_1235,i_0_399,i_0_1097,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1263,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1264,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X5,X7),
    inference(scs_inference,[],[i_0_1228,i_0_1259,i_0_1261,i_0_83,i_0_61,i_0_108,i_0_77,i_0_1221,i_0_1235,i_0_399,i_0_1159,i_0_1097,i_0_575,i_0_120,i_0_73,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_90,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1265,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,X7,X5,X3),X7),
    inference(rename_variables,[],[i_0_1159]) ).

cnf(i_0_1266,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1267,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1268,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_1269,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_57]) ).

cnf(i_0_1270,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1271,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1273,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),X2,extension(X7,X1,X5,X5))),
    inference(scs_inference,[],[i_0_1264,i_0_68]) ).

cnf(i_0_1274,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1275,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),X5,X7),
    inference(scs_inference,[],[i_0_1264,i_0_68,i_0_63]) ).

cnf(i_0_1276,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1277,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),X1,extension(X7,X2,X5,X5))),
    inference(scs_inference,[],[i_0_1264,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1278,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1279,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X2,extension(X7,X1,X6,X6)),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1264,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1280,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1281,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),X7,X5),
    inference(scs_inference,[],[i_0_1264,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1282,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1283,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X1,extension(X7,X2,X6,X6)),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1264,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1284,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1285,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X7,X5),
    inference(scs_inference,[],[i_0_1264,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1286,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1287,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(scs_inference,[],[i_0_110,i_0_1264,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1288,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X5,X7),
    inference(rename_variables,[],[i_0_1264]) ).

cnf(i_0_1289,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1290,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1291,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X3,X4)),
    inference(scs_inference,[],[i_0_61,i_0_110,i_0_1264,i_0_401,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1292,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X2),extension(X5,X4,X1,X2)),
    inference(rename_variables,[],[i_0_401]) ).

cnf(i_0_1293,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1294,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_1,extension(X2,lower_dimension_point_1,X3,X3))),
    inference(scs_inference,[],[i_0_1251,i_0_83,i_0_61,i_0_110,i_0_1264,i_0_401,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1295,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1296,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),lower_dimension_point_3,extension(X2,lower_dimension_point_3,X3,X3)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1251,i_0_1295,i_0_83,i_0_61,i_0_110,i_0_1264,i_0_401,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1297,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1298,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),lower_dimension_point_2,extension(X2,lower_dimension_point_2,X3,X3)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1251,i_0_1295,i_0_1297,i_0_83,i_0_61,i_0_110,i_0_1264,i_0_401,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1299,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1300,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X7),extension(X2,X3,X4,X4),X7,X6),
    inference(scs_inference,[],[i_0_1251,i_0_1295,i_0_1297,i_0_83,i_0_61,i_0_110,i_0_1289,i_0_1264,i_0_401,i_0_1163,i_0_575,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1301,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,X7,X4,X3),X7),
    inference(rename_variables,[],[i_0_1163]) ).

cnf(i_0_1302,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1303,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1304,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1305,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_57]) ).

cnf(i_0_1306,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1307,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1309,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),extension(X7,X1,X5,X5),X2)),
    inference(scs_inference,[],[i_0_1300,i_0_68]) ).

cnf(i_0_1310,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1311,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),X7),X7,X6),
    inference(scs_inference,[],[i_0_1300,i_0_68,i_0_63]) ).

cnf(i_0_1312,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1313,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),extension(X7,X2,X5,X5),X1)),
    inference(scs_inference,[],[i_0_1300,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1314,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1315,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X1,X6,X6),X2),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1300,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1316,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1317,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),X7),X6,X7),
    inference(scs_inference,[],[i_0_1300,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1318,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1319,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X2,X6,X6),X1),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1300,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1320,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1321,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X7),extension(X2,X3,X4,X4),X6,X7),
    inference(scs_inference,[],[i_0_1300,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1322,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1323,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X8,X1,X2),extension(X9,X8,X6,X6)),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_61,i_0_1279,i_0_1300,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1324,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X2,extension(X7,X1,X6,X6)),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1279]) ).

cnf(i_0_1325,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1326,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,extension(X6,X7,X8,X8),X4,extension(X9,X3,X8,X8)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_61,i_0_1279,i_0_1324,i_0_1300,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1327,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X2,extension(X7,X1,X6,X6)),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1279]) ).

cnf(i_0_1328,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1329,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,extension(lower_dimension_point_2,lower_dimension_point_2,X2,X2),extension(X3,X2,lower_dimension_point_2,lower_dimension_point_2),X2)),
    inference(scs_inference,[],[i_0_1228,i_0_61,i_0_1279,i_0_1324,i_0_1300,i_0_82,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1330,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1331,plain,
    ~ between(lower_dimension_point_3,extension(X1,extension(lower_dimension_point_1,lower_dimension_point_1,X2,X2),extension(X3,X2,lower_dimension_point_1,lower_dimension_point_1),X2),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1228,i_0_1330,i_0_61,i_0_1279,i_0_1324,i_0_1300,i_0_82,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1332,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1333,plain,
    ~ between(extension(X1,extension(lower_dimension_point_3,lower_dimension_point_3,X2,X2),extension(X3,X2,lower_dimension_point_3,lower_dimension_point_3),X2),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1228,i_0_1330,i_0_1332,i_0_61,i_0_1279,i_0_1324,i_0_1300,i_0_82,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1334,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1335,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X4,X3,X3),extension(X1,X2,X3,X3)),
    inference(scs_inference,[],[i_0_1228,i_0_1330,i_0_1332,i_0_61,i_0_79,i_0_1279,i_0_1324,i_0_1300,i_0_1165,i_0_575,i_0_82,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1336,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1165]) ).

cnf(i_0_1337,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1338,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1339,plain,
    equidistant(X1,X2,X2,X1),
    inference(rename_variables,[],[i_0_79]) ).

cnf(i_0_1340,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_57]) ).

cnf(i_0_1341,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1342,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1344,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X5,extension(X1,X2,X3,X3)),
    inference(scs_inference,[],[i_0_1335,i_0_68]) ).

cnf(i_0_1345,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1346,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X1,X4,X4),extension(X2,X3,X4,X4)),
    inference(scs_inference,[],[i_0_1335,i_0_68,i_0_63]) ).

cnf(i_0_1347,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1348,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X2,extension(X4,X5,X3,X3)),
    inference(scs_inference,[],[i_0_1335,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1349,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1350,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(scs_inference,[],[i_0_1335,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1351,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1352,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X2,X3,X4,X4),extension(X5,X1,X4,X4)),
    inference(scs_inference,[],[i_0_1335,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1353,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1354,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X8),extension(X9,X6,X4,X4)),extension(X2,X3,X4,X4),X7,X8),
    inference(scs_inference,[],[i_0_1335,i_0_1323,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1355,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1356,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X1,X2,X3,X3),extension(X5,X4,X3,X3)),
    inference(scs_inference,[],[i_0_1335,i_0_1323,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1357,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1358,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X3,X1),
    inference(scs_inference,[],[i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1359,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X7,X5),
    inference(rename_variables,[],[i_0_1285]) ).

cnf(i_0_1360,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_1361,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1362,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X6),extension(X7,X6,X5,X5),extension(X3,X4,X5,X5)),
    inference(scs_inference,[],[i_0_61,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1363,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X4,X3,X3),extension(X1,X2,X3,X3)),
    inference(rename_variables,[],[i_0_1335]) ).

cnf(i_0_1364,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1365,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1366,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),lower_dimension_point_1,extension(X6,lower_dimension_point_1,X7,X7))),
    inference(scs_inference,[],[i_0_1251,i_0_61,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_209,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1367,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1368,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),lower_dimension_point_3,extension(X4,lower_dimension_point_3,X5,X5)),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_61,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_209,i_0_211,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1369,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1370,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),lower_dimension_point_2,extension(X2,lower_dimension_point_2,X3,X3)),extension(X4,lower_dimension_point_3,X5,X5),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_209,i_0_211,i_0_487,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1371,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1372,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X4,X4,X5,extension(X6,X5,X4,X4))),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_1364,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_1200,i_0_209,i_0_211,i_0_487,i_0_777,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1373,plain,
    equidistant(X1,X1,X2,extension(X2,X2,X3,extension(X4,X3,X2,X2))),
    inference(rename_variables,[],[i_0_1200]) ).

cnf(i_0_1374,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1375,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1376,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_57]) ).

cnf(i_0_1377,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X4,X4)) = extension(X2,X3,X4,X4),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_1364,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_1200,i_0_209,i_0_211,i_0_487,i_0_777,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73]) ).

cnf(i_0_1378,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1379,plain,
    extension(X1,X2,X3,X3) = extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X7,X7),extension(X8,X6,X3,X3)),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_1364,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_1200,i_0_209,i_0_211,i_0_487,i_0_777,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1380,plain,
    w != extension(X1,extension(X2,x,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_1364,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_1200,i_0_122,i_0_209,i_0_211,i_0_487,i_0_777,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90,i_0_91]) ).

cnf(i_0_1381,plain,
    extension(X1,x,X2,X2) = extension(X3,x,X4,X4),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_1364,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_1200,i_0_122,i_0_209,i_0_211,i_0_487,i_0_777,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90,i_0_91,i_0_72]) ).

cnf(i_0_1382,plain,
    ( X1 != extension(X2,X1,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_1383,plain,
    between(X1,x,extension(extension(X2,x,X3,X3),extension(X1,x,X4,X4),extension(X2,x,X3,X3),extension(X1,x,X4,X4))),
    inference(scs_inference,[],[i_0_1251,i_0_1367,i_0_1369,i_0_61,i_0_1364,i_0_108,i_0_1335,i_0_1285,i_0_1323,i_0_1200,i_0_122,i_0_209,i_0_211,i_0_487,i_0_777,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90,i_0_91,i_0_72,i_0_71]) ).

cnf(i_0_1384,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_1385,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1386,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1388,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(scs_inference,[],[i_0_1379,i_0_72]) ).

cnf(i_0_1389,plain,
    extension(X1,X2,X3,X3) = extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X7,X7),extension(X8,X6,X3,X3)),
    inference(rename_variables,[],[i_0_1379]) ).

cnf(i_0_1390,plain,
    ( X1 != extension(X2,X1,X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_1391,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X4,X4))),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_72,i_0_71]) ).

cnf(i_0_1392,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_1393,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X7,extension(X1,X2,X3,X3),X5),X7),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68]) ).

cnf(i_0_1394,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1395,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X6),X2,extension(X7,X6,X5,X5),extension(X3,X4,X5,X5)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63]) ).

cnf(i_0_1396,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1397,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X7,extension(X4,X5,X3,X3),X2),X7),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1398,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1399,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X6,extension(X7,X6,extension(X1,X2,X3,X3),X5)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1400,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1401,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X6),X2,extension(X3,X4,X5,X5),extension(X7,X6,X5,X5)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1402,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1403,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X6,extension(X7,X6,extension(X4,X5,X3,X3),X2)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1404,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1405,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X6),extension(X3,X4,X5,X5),extension(X7,X6,X5,X5)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1406,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1407,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X1,X1),X1,X1)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_61,i_0_1348,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1408,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X2,extension(X4,X5,X3,X3)),
    inference(rename_variables,[],[i_0_1348]) ).

cnf(i_0_1409,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1410,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1411,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X5,X6,X6)),extension(X7,X3,X6,X6),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_61,i_0_1409,i_0_1346,i_0_1348,i_0_1362,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1412,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X1,X4,X4),extension(X2,X3,X4,X4)),
    inference(rename_variables,[],[i_0_1346]) ).

cnf(i_0_1413,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1414,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1415,plain,
    w != extension(X1,extension(X2,x,X3,X3),extension(X4,X5,X6,X6),X5),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_243,i_0_61,i_0_1409,i_0_1346,i_0_1348,i_0_1362,i_0_1380,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91]) ).

cnf(i_0_1416,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = extension(X6,X2,X7,X7),
    inference(rename_variables,[],[i_0_243]) ).

cnf(i_0_1417,plain,
    w != extension(X1,extension(X2,x,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),
    inference(rename_variables,[],[i_0_1380]) ).

cnf(i_0_1418,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(lower_dimension_point_1,lower_dimension_point_1,X4,X4),extension(X5,X4,lower_dimension_point_1,lower_dimension_point_1),X4)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_243,i_0_1228,i_0_61,i_0_1409,i_0_1346,i_0_1348,i_0_1362,i_0_1380,i_0_163,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102]) ).

cnf(i_0_1419,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1420,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(lower_dimension_point_3,lower_dimension_point_3,X4,X4),extension(X5,X4,lower_dimension_point_3,lower_dimension_point_3),X4),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_243,i_0_1228,i_0_1419,i_0_61,i_0_1409,i_0_1346,i_0_1348,i_0_1362,i_0_1380,i_0_163,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_101]) ).

cnf(i_0_1421,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1422,plain,
    ~ between(extension(X1,extension(lower_dimension_point_2,lower_dimension_point_2,X2,X2),extension(X3,X2,lower_dimension_point_2,lower_dimension_point_2),X2),extension(X4,lower_dimension_point_3,X5,X5),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_243,i_0_1228,i_0_1419,i_0_1421,i_0_61,i_0_1409,i_0_1346,i_0_1348,i_0_1362,i_0_1380,i_0_163,i_0_165,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1423,plain,
    extension(X1,extension(X2,X2,X3,X3),extension(X4,X3,X2,X2),X3) = X2,
    inference(rename_variables,[],[i_0_1228]) ).

cnf(i_0_1424,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X5,extension(X3,X4,X6,X6),extension(X7,X8,X6,X6),X8)),
    inference(scs_inference,[],[i_0_1377,i_0_1379,i_0_243,i_0_1228,i_0_1419,i_0_1421,i_0_61,i_0_1409,i_0_1413,i_0_1346,i_0_1348,i_0_1362,i_0_1208,i_0_1380,i_0_222,i_0_163,i_0_165,i_0_120,i_0_72,i_0_71,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_91,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1425,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),extension(X6,X7,X5,X5),X7)),
    inference(rename_variables,[],[i_0_1208]) ).

cnf(i_0_1426,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1427,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X5),extension(X6,X7,X8,X8),X7)),
    inference(rename_variables,[],[i_0_222]) ).

cnf(i_0_1428,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_57]) ).

cnf(i_0_1429,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1430,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1431,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1432,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1433,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),lower_dimension_point_1),
    inference(rename_variables,[],[i_0_209]) ).

cnf(i_0_1434,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1435,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1436,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1438,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X7,X5,extension(X1,X2,X3,X3)),X7),
    inference(scs_inference,[],[i_0_1411,i_0_68]) ).

cnf(i_0_1439,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1440,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X5,X6,X6)),X2,extension(X7,X3,X6,X6),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1411,i_0_68,i_0_63]) ).

cnf(i_0_1441,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1442,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X7,X2,extension(X4,X5,X3,X3)),X7),
    inference(scs_inference,[],[i_0_1411,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1443,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1444,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X6,extension(X7,X6,X5,extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_1411,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1445,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1446,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X5,X6,X6)),X2,extension(X4,X5,X6,X6),extension(X7,X3,X6,X6)),
    inference(scs_inference,[],[i_0_1411,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1447,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1448,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),X6,extension(X7,X6,X2,extension(X4,X5,X3,X3))),
    inference(scs_inference,[],[i_0_1411,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1449,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1450,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X5,X6,X6)),extension(X4,X5,X6,X6),extension(X7,X3,X6,X6)),
    inference(scs_inference,[],[i_0_1411,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1451,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1452,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X8,X6,X6),extension(X9,X8,X1,X2)),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_61,i_0_1315,i_0_1411,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1453,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X1,X6,X6),X2),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1315]) ).

cnf(i_0_1454,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1455,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,extension(X6,X7,X8,X8),X3,extension(X9,X4,X8,X8)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_61,i_0_1283,i_0_1315,i_0_1411,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1456,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X1,extension(X7,X2,X6,X6)),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1283]) ).

cnf(i_0_1457,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1458,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1388,i_0_61,i_0_1283,i_0_1315,i_0_1411,i_0_1180,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1459,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,extension(X6,X7,X8,X8),extension(X9,X7,X8,X8))),
    inference(rename_variables,[],[i_0_1180]) ).

cnf(i_0_1460,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_1461,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_1388,i_0_1460,i_0_61,i_0_1283,i_0_1315,i_0_1411,i_0_1180,i_0_415,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1462,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_1463,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,X4),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_1388,i_0_1460,i_0_1462,i_0_61,i_0_1283,i_0_1315,i_0_1411,i_0_1074,i_0_1180,i_0_415,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1464,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),extension(X6,lower_dimension_point_3,X7,X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_1074]) ).

cnf(i_0_1465,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_1466,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X5,X4,extension(X6,X7,X8,X8),X7)),
    inference(scs_inference,[],[i_0_1388,i_0_1460,i_0_1462,i_0_61,i_0_1283,i_0_1315,i_0_1411,i_0_1137,i_0_1074,i_0_1180,i_0_415,i_0_267,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1467,plain,
    equidistant(X1,X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_1137]) ).

cnf(i_0_1468,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1469,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_1470,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_57]) ).

cnf(i_0_1471,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1472,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1473,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1474,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1475,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,X4)),
    inference(rename_variables,[],[i_0_211]) ).

cnf(i_0_1476,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1477,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1478,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1480,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),extension(X8,X9,X7,X5),X9),
    inference(scs_inference,[],[i_0_1326,i_0_68]) ).

cnf(i_0_1481,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1482,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,extension(X6,X7,X8,X8),X4,extension(X9,X3,X8,X8)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_1326,i_0_68,i_0_63]) ).

cnf(i_0_1483,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1484,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),extension(X8,X9,X7,X5),X9),
    inference(scs_inference,[],[i_0_1326,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1485,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1486,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),X8,extension(X9,X8,X7,X5)),
    inference(scs_inference,[],[i_0_1326,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1487,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1488,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),X4,extension(X9,X3,X7,X7))),
    inference(scs_inference,[],[i_0_1326,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1489,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1490,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X8,extension(X9,X8,X7,X5)),
    inference(scs_inference,[],[i_0_1326,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1491,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1492,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),X4,extension(X9,X3,X7,X7))),
    inference(scs_inference,[],[i_0_1326,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1493,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1494,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(scs_inference,[],[i_0_110,i_0_1326,i_0_1354,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1495,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X8),extension(X9,X6,X4,X4)),extension(X2,X3,X4,X4),X7,X8),
    inference(rename_variables,[],[i_0_1354]) ).

cnf(i_0_1496,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1497,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1498,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,extension(X6,X7,X8,X8),extension(X9,X4,X8,X8),X3),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_61,i_0_110,i_0_1319,i_0_1326,i_0_1354,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1499,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X2,X6,X6),X1),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1319]) ).

cnf(i_0_1500,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1501,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_61,i_0_110,i_0_1319,i_0_1326,i_0_1354,i_0_884,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1502,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_884]) ).

cnf(i_0_1503,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1504,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X3,X3,X4,X4),X3),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_1503,i_0_61,i_0_110,i_0_1319,i_0_1326,i_0_1354,i_0_884,i_0_886,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1505,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X5,X5,X6,X6),X5),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_886]) ).

cnf(i_0_1506,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1507,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X4,X4),X3),lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_1503,i_0_1506,i_0_61,i_0_110,i_0_1319,i_0_1326,i_0_1354,i_0_884,i_0_1502,i_0_886,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1508,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X3,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_884]) ).

cnf(i_0_1509,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1510,plain,
    equidistant(X1,extension(X1,extension(X2,X1,u,v),v,w),u,x),
    inference(scs_inference,[],[i_0_1001,i_0_1503,i_0_1506,i_0_61,i_0_110,i_0_1319,i_0_1326,i_0_1354,i_0_884,i_0_1502,i_0_886,i_0_160,i_0_85,i_0_70,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1511,plain,
    equidistant(X1,extension(X2,X1,v,w),v,x),
    inference(rename_variables,[],[i_0_160]) ).

cnf(i_0_1512,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_1513,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1514,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_57]) ).

cnf(i_0_1515,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1516,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1517,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1518,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1519,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1520,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1521,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1522,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1524,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),X9,X8),
    inference(scs_inference,[],[i_0_1452,i_0_68]) ).

cnf(i_0_1525,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1526,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X8,X6,X6),extension(X9,X8,X2,X1)),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1452,i_0_68,i_0_63]) ).

cnf(i_0_1527,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1528,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X9,X8),
    inference(scs_inference,[],[i_0_1452,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1529,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1530,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),X8,X9),
    inference(scs_inference,[],[i_0_1452,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1531,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1532,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),extension(X7,X8,X5,X5),extension(X9,X8,X2,X1))),
    inference(scs_inference,[],[i_0_1452,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1533,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1534,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X8,X9),
    inference(scs_inference,[],[i_0_1452,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_1535,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1536,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),extension(X7,X8,X5,X5),extension(X9,X8,X1,X2))),
    inference(scs_inference,[],[i_0_1452,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_1537,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1538,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X3,X1),X6),
    inference(scs_inference,[],[i_0_61,i_0_1452,i_0_1480,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_1539,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),extension(X8,X9,X7,X5),X9),
    inference(rename_variables,[],[i_0_1480]) ).

cnf(i_0_1540,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1541,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1542,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,extension(X6,X7,X8,X8),extension(X9,X10,X8,X8),extension(X11,X10,X3,X4)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_61,i_0_1540,i_0_1452,i_0_1480,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_1543,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X8,X6,X6),extension(X9,X8,X1,X2)),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1452]) ).

cnf(i_0_1544,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1545,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X10,X10),extension(X11,X9,X7,X7))),
    inference(scs_inference,[],[i_0_1377,i_0_61,i_0_1540,i_0_1452,i_0_1480,i_0_1458,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1546,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1547,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X4,X4)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1377]) ).

cnf(i_0_1548,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),extension(X8,lower_dimension_point_3,X9,X9),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(scs_inference,[],[i_0_1377,i_0_1547,i_0_61,i_0_1540,i_0_1452,i_0_1480,i_0_1458,i_0_1546,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1549,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1550,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X4,X4)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1377]) ).

cnf(i_0_1551,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5)),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(scs_inference,[],[i_0_1377,i_0_1547,i_0_1550,i_0_61,i_0_1540,i_0_1452,i_0_1480,i_0_1458,i_0_1546,i_0_1549,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1552,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1553,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X4,X4)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1377]) ).

cnf(i_0_1554,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X4,X4),X5,X4),
    inference(scs_inference,[],[i_0_1377,i_0_1547,i_0_1550,i_0_61,i_0_1540,i_0_106,i_0_1452,i_0_1480,i_0_1458,i_0_1546,i_0_1549,i_0_227,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1555,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1556,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_1557,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1558,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_57]) ).

cnf(i_0_1559,plain,
    extension(X1,X2,X3,X3) = extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_1377,i_0_1547,i_0_1550,i_0_61,i_0_1540,i_0_106,i_0_1452,i_0_1480,i_0_1458,i_0_1546,i_0_1549,i_0_227,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_1560,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1561,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8)) = extension(X2,X3,X4,X4),
    inference(scs_inference,[],[i_0_1377,i_0_1547,i_0_1550,i_0_61,i_0_1540,i_0_106,i_0_1452,i_0_1480,i_0_1458,i_0_1546,i_0_1549,i_0_227,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1562,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8))),
    inference(scs_inference,[],[i_0_1377,i_0_1547,i_0_1550,i_0_61,i_0_1540,i_0_106,i_0_1452,i_0_1480,i_0_1458,i_0_1546,i_0_1549,i_0_227,i_0_120,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90,i_0_71]) ).

cnf(i_0_1563,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_1564,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1565,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1566,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1567,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1568,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1569,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1570,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1571,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1573,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),extension(X8,X9,X5,X7),X9),
    inference(scs_inference,[],[i_0_1455,i_0_68]) ).

cnf(i_0_1574,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1575,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,extension(X6,X7,X8,X8),X3,extension(X9,X4,X8,X8)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_1455,i_0_68,i_0_63]) ).

cnf(i_0_1576,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1577,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),extension(X8,X9,X5,X7),X9),
    inference(scs_inference,[],[i_0_1455,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1578,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1579,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),X8,extension(X9,X8,X5,X7)),
    inference(scs_inference,[],[i_0_1455,i_0_68,i_0_63,i_0_66,i_0_67]) ).

cnf(i_0_1580,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1581,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),X3,extension(X9,X4,X7,X7))),
    inference(scs_inference,[],[i_0_1455,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64]) ).

cnf(i_0_1582,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1583,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),X3,extension(X9,X4,X7,X7))),
    inference(scs_inference,[],[i_0_1455,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_1584,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1585,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X8,extension(X9,X8,X5,X7)),
    inference(scs_inference,[],[i_0_1455,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_1586,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1587,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X3,X1)),
    inference(scs_inference,[],[i_0_61,i_0_1455,i_0_1486,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1588,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),X8,extension(X9,X8,X7,X5)),
    inference(rename_variables,[],[i_0_1486]) ).

cnf(i_0_1589,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1590,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1591,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,extension(X6,X7,X8,X8),extension(X9,X10,X8,X8),extension(X11,X10,X4,X3)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_61,i_0_1589,i_0_1455,i_0_1486,i_0_1526,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1592,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X8,X6,X6),extension(X9,X8,X2,X1)),extension(X4,X5,X6,X6)),
    inference(rename_variables,[],[i_0_1526]) ).

cnf(i_0_1593,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1594,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X7,X7),extension(X10,X9,X11,X11))),
    inference(scs_inference,[],[i_0_1561,i_0_61,i_0_1589,i_0_1455,i_0_1486,i_0_1526,i_0_1458,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1595,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1596,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_1597,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_3,X9,X9),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(scs_inference,[],[i_0_1561,i_0_1596,i_0_61,i_0_1589,i_0_1455,i_0_1486,i_0_1526,i_0_1458,i_0_1595,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1598,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1599,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_1600,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),extension(X8,X7,X9,X9)),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(scs_inference,[],[i_0_1561,i_0_1596,i_0_1599,i_0_61,i_0_1589,i_0_1455,i_0_1486,i_0_1526,i_0_1458,i_0_1595,i_0_1598,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1601,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1602,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_1603,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,extension(X4,X5,X3,X3),X5,extension(X4,X5,X3,X3))),
    inference(scs_inference,[],[i_0_1561,i_0_1596,i_0_1599,i_0_61,i_0_1589,i_0_1455,i_0_1486,i_0_1490,i_0_1526,i_0_1458,i_0_1595,i_0_1598,i_0_575,i_0_777,i_0_68,i_0_63,i_0_66,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1604,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),X8,extension(X9,X8,X7,X5)),
    inference(rename_variables,[],[i_0_1490]) ).

cnf(i_0_1605,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1606,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1607,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1608,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_57]) ).

cnf(i_0_1609,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1610,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1611,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1612,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1613,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1614,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1615,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1616,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1618,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),X7),extension(X8,X9,X7,X6),X9),
    inference(scs_inference,[],[i_0_1498,i_0_68]) ).

cnf(i_0_1619,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1620,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,extension(X6,X7,X8,X8),extension(X9,X4,X8,X8),X3),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_1498,i_0_68,i_0_63]) ).

cnf(i_0_1621,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1622,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X7),extension(X2,X3,X4,X4),extension(X8,X9,X7,X6),X9),
    inference(scs_inference,[],[i_0_1498,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1623,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1624,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),extension(X9,X4,X7,X7),X3)),
    inference(scs_inference,[],[i_0_1498,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1625,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1626,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),X7),X8,extension(X9,X8,X7,X6)),
    inference(scs_inference,[],[i_0_1498,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1627,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1628,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),extension(X9,X4,X7,X7),X3)),
    inference(scs_inference,[],[i_0_1498,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1629,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1630,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X7),extension(X2,X3,X4,X4),X8,extension(X9,X8,X7,X6)),
    inference(scs_inference,[],[i_0_1498,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1631,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1632,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X1,X3),X6),
    inference(scs_inference,[],[i_0_61,i_0_1498,i_0_1573,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1633,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),extension(X8,X9,X5,X7),X9),
    inference(rename_variables,[],[i_0_1573]) ).

cnf(i_0_1634,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1635,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1636,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),extension(X7,X4,X6,X6)),X6,X5),
    inference(scs_inference,[],[i_0_61,i_0_1634,i_0_1498,i_0_1573,i_0_405,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1637,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1638,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1639,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7))),
    inference(scs_inference,[],[i_0_1561,i_0_61,i_0_1634,i_0_1498,i_0_1573,i_0_405,i_0_167,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1640,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2)),
    inference(rename_variables,[],[i_0_167]) ).

cnf(i_0_1641,plain,
    extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8)) = extension(X2,X3,X4,X4),
    inference(rename_variables,[],[i_0_1561]) ).

cnf(i_0_1642,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),lower_dimension_point_2,extension(X2,lower_dimension_point_2,X3,X3)),lower_dimension_point_3,extension(X4,lower_dimension_point_1,X5,X5)),
    inference(scs_inference,[],[i_0_1561,i_0_1251,i_0_61,i_0_1634,i_0_1498,i_0_1573,i_0_405,i_0_167,i_0_1640,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1643,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1644,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),lower_dimension_point_3,extension(X2,lower_dimension_point_3,X3,X3)),extension(X4,lower_dimension_point_1,X5,X5)),
    inference(scs_inference,[],[i_0_1561,i_0_1251,i_0_1643,i_0_61,i_0_1634,i_0_1498,i_0_1573,i_0_405,i_0_167,i_0_1640,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1645,plain,
    extension(X1,extension(X2,X3,X4,X4),X3,extension(X2,X3,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1251]) ).

cnf(i_0_1646,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X5,X6,X6)),X3,X5),
    inference(scs_inference,[],[i_0_1561,i_0_1251,i_0_1643,i_0_61,i_0_1634,i_0_1637,i_0_1498,i_0_1573,i_0_405,i_0_367,i_0_575,i_0_167,i_0_1640,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1647,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_367]) ).

cnf(i_0_1648,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1649,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1650,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1651,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_57]) ).

cnf(i_0_1652,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1653,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1654,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1655,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1656,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1657,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1658,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1659,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1661,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),extension(X10,X11,X8,X9),X11),
    inference(scs_inference,[],[i_0_1542,i_0_68]) ).

cnf(i_0_1662,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1663,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,extension(X6,X7,X8,X8),extension(X9,X10,X8,X8),extension(X11,X10,X3,X4)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_1542,i_0_68,i_0_63]) ).

cnf(i_0_1664,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1665,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),extension(X10,X11,X8,X9),X11),
    inference(scs_inference,[],[i_0_1542,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1666,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1667,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),extension(X9,X10,X7,X7),extension(X11,X10,X3,X4))),
    inference(scs_inference,[],[i_0_1542,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1668,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1669,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),X10,extension(X11,X10,X8,X9)),
    inference(scs_inference,[],[i_0_1542,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1670,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1671,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),extension(X9,X10,X7,X7),extension(X11,X10,X3,X4))),
    inference(scs_inference,[],[i_0_1542,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1672,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1673,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X10,extension(X11,X10,X8,X9)),
    inference(scs_inference,[],[i_0_1542,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1674,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1675,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X1,X3)),
    inference(scs_inference,[],[i_0_61,i_0_1579,i_0_1542,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1676,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X7,X3,X3)),X8,extension(X9,X8,X5,X7)),
    inference(rename_variables,[],[i_0_1579]) ).

cnf(i_0_1677,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1678,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1679,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),extension(X6,X5,X7,X7),X6),
    inference(scs_inference,[],[i_0_61,i_0_1677,i_0_1579,i_0_933,i_0_1542,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1680,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X4,X3,X5,X5),X4),
    inference(rename_variables,[],[i_0_933]) ).

cnf(i_0_1681,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1682,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1683,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,extension(X7,X6,X8,X8))),
    inference(scs_inference,[],[i_0_776,i_0_61,i_0_1677,i_0_1579,i_0_933,i_0_1542,i_0_1458,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1684,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1685,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = extension(X6,X2,X3,X3),
    inference(rename_variables,[],[i_0_776]) ).

cnf(i_0_1686,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_776,i_0_1685,i_0_61,i_0_1677,i_0_1579,i_0_933,i_0_1542,i_0_1458,i_0_1684,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1687,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1688,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = extension(X6,X2,X3,X3),
    inference(rename_variables,[],[i_0_776]) ).

cnf(i_0_1689,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,extension(X5,X4,X6,X6)),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(scs_inference,[],[i_0_776,i_0_1685,i_0_1688,i_0_61,i_0_1677,i_0_1579,i_0_933,i_0_1542,i_0_1458,i_0_1684,i_0_1687,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1690,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1691,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = extension(X6,X2,X3,X3),
    inference(rename_variables,[],[i_0_776]) ).

cnf(i_0_1692,plain,
    equidistant(X1,extension(X1,extension(X2,X1,X3,X4),X5,X5),X3,X4),
    inference(scs_inference,[],[i_0_776,i_0_1685,i_0_1688,i_0_61,i_0_1677,i_0_1681,i_0_1579,i_0_933,i_0_1542,i_0_371,i_0_1458,i_0_1684,i_0_1687,i_0_70,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1693,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
    inference(rename_variables,[],[i_0_371]) ).

cnf(i_0_1694,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_1695,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1696,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_57]) ).

cnf(i_0_1697,plain,
    X1 = extension(X1,extension(X2,X1,X3,X3),X4,X4),
    inference(scs_inference,[],[i_0_776,i_0_1685,i_0_1688,i_0_61,i_0_1677,i_0_1681,i_0_1579,i_0_933,i_0_1542,i_0_371,i_0_1458,i_0_1684,i_0_1687,i_0_70,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73]) ).

cnf(i_0_1698,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1699,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(scs_inference,[],[i_0_776,i_0_1685,i_0_1688,i_0_61,i_0_1677,i_0_1681,i_0_1579,i_0_933,i_0_1542,i_0_371,i_0_1458,i_0_1684,i_0_1687,i_0_70,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1700,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1701,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1702,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_1703,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1704,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1705,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1706,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1707,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1708,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1710,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),extension(X10,X11,X9,X8),X11),
    inference(scs_inference,[],[i_0_1591,i_0_68]) ).

cnf(i_0_1711,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1712,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,extension(X6,X7,X8,X8),extension(X9,X10,X8,X8),extension(X11,X10,X4,X3)),extension(X6,X7,X8,X8)),
    inference(scs_inference,[],[i_0_1591,i_0_68,i_0_63]) ).

cnf(i_0_1713,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1714,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),extension(X10,X11,X9,X8),X11),
    inference(scs_inference,[],[i_0_1591,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1715,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1716,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),extension(X9,X10,X7,X7),extension(X11,X10,X4,X3))),
    inference(scs_inference,[],[i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1717,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1718,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),X10,extension(X11,X10,X9,X8)),
    inference(scs_inference,[],[i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1719,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1720,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,extension(X5,X6,X7,X7),extension(X9,X10,X7,X7),extension(X11,X10,X4,X3))),
    inference(scs_inference,[],[i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1721,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1722,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X10,extension(X11,X10,X9,X8)),
    inference(scs_inference,[],[i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1723,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1724,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X4,X2),X6),
    inference(scs_inference,[],[i_0_61,i_0_1618,i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1725,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),X7),extension(X8,X9,X7,X6),X9),
    inference(rename_variables,[],[i_0_1618]) ).

cnf(i_0_1726,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1727,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1728,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),extension(X6,X7,X4,X3),X7),
    inference(scs_inference,[],[i_0_61,i_0_1726,i_0_1618,i_0_935,i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1729,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X5,X2,X1),X5),
    inference(rename_variables,[],[i_0_935]) ).

cnf(i_0_1730,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1731,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1732,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(lower_dimension_point_1,extension(X1,lower_dimension_point_1,X2,X2),X3,X3)),
    inference(scs_inference,[],[i_0_1699,i_0_83,i_0_61,i_0_1726,i_0_1618,i_0_935,i_0_1591,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1733,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(rename_variables,[],[i_0_1699]) ).

cnf(i_0_1734,plain,
    ~ between(extension(lower_dimension_point_1,extension(X1,lower_dimension_point_1,X2,X2),X3,X3),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_1699,i_0_1733,i_0_83,i_0_61,i_0_1726,i_0_1618,i_0_935,i_0_1591,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100]) ).

cnf(i_0_1735,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(rename_variables,[],[i_0_1699]) ).

cnf(i_0_1736,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),X3,X3),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1699,i_0_1733,i_0_1735,i_0_83,i_0_61,i_0_1726,i_0_1618,i_0_935,i_0_1591,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101]) ).

cnf(i_0_1737,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(rename_variables,[],[i_0_1699]) ).

cnf(i_0_1738,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),extension(X5,X6,X4,X4),X6),X4,extension(X7,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1699,i_0_1733,i_0_1735,i_0_83,i_0_61,i_0_1726,i_0_1730,i_0_1618,i_0_1626,i_0_935,i_0_1591,i_0_267,i_0_84,i_0_227,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_100,i_0_101,i_0_57]) ).

cnf(i_0_1739,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),X7),X8,extension(X9,X8,X7,X6)),
    inference(rename_variables,[],[i_0_1626]) ).

cnf(i_0_1740,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_1741,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_1742,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1743,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_57]) ).

cnf(i_0_1744,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1745,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1746,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1747,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1748,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1749,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1750,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1751,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1753,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,extension(X5,X6,X2,X2),extension(X7,X3,X2,X2),X3),X6),
    inference(scs_inference,[],[i_0_1738,i_0_68]) ).

cnf(i_0_1754,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1755,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6),X3,X4,extension(X7,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1738,i_0_68,i_0_63]) ).

cnf(i_0_1756,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1757,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,extension(X5,X6,X1,X1),extension(X7,X3,X1,X1),X3),X6),
    inference(scs_inference,[],[i_0_1738,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1758,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1759,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X6),X3,extension(X7,X4,X6,X6),X4),
    inference(scs_inference,[],[i_0_1738,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1760,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1761,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,extension(X6,X4,X2,X2),extension(X7,X3,X2,X2),X3)),
    inference(scs_inference,[],[i_0_1738,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1762,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1763,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),extension(X5,X6,X4,X4),X6),extension(X7,X4,X6,X6),X4),
    inference(scs_inference,[],[i_0_1738,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1764,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1765,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,extension(X5,extension(X6,X4,X1,X1),extension(X7,X3,X1,X1),X3)),
    inference(scs_inference,[],[i_0_1738,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1766,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1767,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),extension(X7,X8,X5,X6),X8),
    inference(scs_inference,[],[i_0_61,i_0_1738,i_0_1661,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1768,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),extension(X10,X11,X8,X9),X11),
    inference(rename_variables,[],[i_0_1661]) ).

cnf(i_0_1769,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1770,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1771,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X6,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_61,i_0_1769,i_0_1738,i_0_937,i_0_1661,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1772,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,extension(X4,X3,X5,X5)),
    inference(rename_variables,[],[i_0_937]) ).

cnf(i_0_1773,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1774,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1775,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_1,extension(X3,lower_dimension_point_1,X4,X4),X5,X5)),
    inference(scs_inference,[],[i_0_1699,i_0_61,i_0_1769,i_0_1738,i_0_937,i_0_1661,i_0_165,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1776,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(rename_variables,[],[i_0_1699]) ).

cnf(i_0_1777,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),X3,X3),extension(X4,lower_dimension_point_1,X5,X5)),
    inference(scs_inference,[],[i_0_1699,i_0_1776,i_0_61,i_0_1769,i_0_1738,i_0_937,i_0_1661,i_0_165,i_0_167,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1778,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(rename_variables,[],[i_0_1699]) ).

cnf(i_0_1779,plain,
    ~ between(extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),X3,X3),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1699,i_0_1776,i_0_1778,i_0_61,i_0_1769,i_0_1738,i_0_937,i_0_1661,i_0_165,i_0_167,i_0_82,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1780,plain,
    extension(X1,extension(X2,X1,X3,X3),X4,X4) = X1,
    inference(rename_variables,[],[i_0_1699]) ).

cnf(i_0_1781,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X6,extension(X7,X6,X5,X5)),X4,X5),
    inference(scs_inference,[],[i_0_1699,i_0_1776,i_0_1778,i_0_61,i_0_1769,i_0_1773,i_0_1738,i_0_937,i_0_1661,i_0_331,i_0_165,i_0_167,i_0_777,i_0_82,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1782,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,X5),
    inference(rename_variables,[],[i_0_331]) ).

cnf(i_0_1783,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1784,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1785,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_57]) ).

cnf(i_0_1786,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),X5,extension(X6,X5,X4,X4)),
    inference(scs_inference,[],[i_0_1699,i_0_1776,i_0_1778,i_0_61,i_0_1769,i_0_1773,i_0_1738,i_0_937,i_0_1661,i_0_331,i_0_165,i_0_167,i_0_777,i_0_82,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73]) ).

cnf(i_0_1787,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_1788,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X4,X4)) = X3,
    inference(scs_inference,[],[i_0_1699,i_0_1776,i_0_1778,i_0_61,i_0_1769,i_0_1773,i_0_1738,i_0_937,i_0_1661,i_0_331,i_0_165,i_0_167,i_0_777,i_0_82,i_0_120,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_1789,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1790,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1791,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_3,X4)
    | between(lower_dimension_point_3,extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6))
    | between(extension(X2,lower_dimension_point_1,X3,X3),extension(X5,lower_dimension_point_2,X6,X6),lower_dimension_point_3)
    | ~ equidistant(extension(X5,lower_dimension_point_2,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_2,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_307]) ).

cnf(i_0_1792,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1793,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1794,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1795,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1796,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1797,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1799,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X4,X4),extension(X6,X7,X3,X4),X7),
    inference(scs_inference,[],[i_0_1291,i_0_68]) ).

cnf(i_0_1800,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1801,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X3,X4),extension(X7,X6,X4,X4)),
    inference(scs_inference,[],[i_0_1255,i_0_1291,i_0_68,i_0_63]) ).

cnf(i_0_1802,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1803,plain,
    equidistant(extension(X1,X2,X3,X3),X1,extension(X4,X5,extension(X6,X7,X2,X1),X7),X5),
    inference(scs_inference,[],[i_0_1255,i_0_1291,i_0_1679,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1804,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1805,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X4),extension(X7,X6,X3,X4)),
    inference(scs_inference,[],[i_0_1255,i_0_1291,i_0_1679,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1806,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1807,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X3),X6,extension(X7,X6,X5,X3)),
    inference(scs_inference,[],[i_0_1255,i_0_1291,i_0_1679,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1808,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1809,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X6,extension(X7,X6,X4,X3)),
    inference(scs_inference,[],[i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1810,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1811,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X4,X4),X6,extension(X7,X6,X3,X4)),
    inference(scs_inference,[],[i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1812,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1813,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X7,extension(X8,X7,X5,X6)),
    inference(scs_inference,[],[i_0_61,i_0_1669,i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1814,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X7,X6,X8,X9)),X10,extension(X11,X10,X8,X9)),
    inference(rename_variables,[],[i_0_1669]) ).

cnf(i_0_1815,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1816,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1817,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_61,i_0_1815,i_0_943,i_0_1669,i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1818,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,extension(X4,X3,X5,X5)),
    inference(rename_variables,[],[i_0_943]) ).

cnf(i_0_1819,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1820,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1821,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X4,extension(X5,X4,X3,X3))),
    inference(scs_inference,[],[i_0_1788,i_0_83,i_0_61,i_0_1815,i_0_943,i_0_1669,i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1822,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1788]) ).

cnf(i_0_1823,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X4,extension(X5,X4,X3,X3)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1788,i_0_1822,i_0_83,i_0_61,i_0_1815,i_0_943,i_0_1669,i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1824,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1788]) ).

cnf(i_0_1825,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),X4,extension(X5,X4,X3,X3)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1788,i_0_1822,i_0_1824,i_0_83,i_0_61,i_0_1815,i_0_943,i_0_1669,i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1826,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X4,X4)) = X3,
    inference(rename_variables,[],[i_0_1788]) ).

cnf(i_0_1827,plain,
    ( ~ between(X1,extension(extension(X2,X1,X3,X3),X1,extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),extension(X2,X1,X3,X3))
    | equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X3,X3),X5) ),
    inference(scs_inference,[],[i_0_1788,i_0_1822,i_0_1824,i_0_83,i_0_61,i_0_1815,i_0_1819,i_0_707,i_0_943,i_0_1669,i_0_1255,i_0_1291,i_0_1679,i_0_1728,i_0_575,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1828,plain,
    equidistant(extension(extension(X1,X2,X3,X4),X2,X5,X5),extension(X1,X2,X3,X4),extension(X6,X7,X4,X3),X7),
    inference(rename_variables,[],[i_0_707]) ).

cnf(i_0_1829,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1830,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_1831,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_57]) ).

cnf(i_0_1832,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1833,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1834,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1835,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1837,plain,
    equidistant(X1,X2,X2,extension(X3,X1,X4,X4)),
    inference(scs_inference,[],[i_0_1287,i_0_68]) ).

cnf(i_0_1838,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1839,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(scs_inference,[],[i_0_1287,i_0_68,i_0_63]) ).

cnf(i_0_1840,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1841,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(scs_inference,[],[i_0_1287,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1842,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1843,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X6,X6),X4,X3),
    inference(scs_inference,[],[i_0_1287,i_0_1494,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1844,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1845,plain,
    equidistant(X1,X2,extension(X3,X1,X4,X4),X2),
    inference(scs_inference,[],[i_0_1287,i_0_1494,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1846,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1847,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,X4),
    inference(scs_inference,[],[i_0_1287,i_0_1494,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1848,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1849,plain,
    equidistant(X1,X2,extension(X3,X2,X4,X4),X1),
    inference(scs_inference,[],[i_0_1287,i_0_1494,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1850,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1851,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X6,X5),
    inference(scs_inference,[],[i_0_108,i_0_1528,i_0_1287,i_0_1494,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1852,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X9,X8),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_1853,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_1854,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1855,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),X2,X6,X5),
    inference(scs_inference,[],[i_0_106,i_0_108,i_0_1853,i_0_1528,i_0_1287,i_0_1494,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1856,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_1857,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_1858,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1859,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),X7),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_106,i_0_108,i_0_1853,i_0_1528,i_0_1287,i_0_1494,i_0_954,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1860,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_954]) ).

cnf(i_0_1861,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1862,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),X5),lower_dimension_point_3,extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1001,i_0_1861,i_0_106,i_0_108,i_0_1853,i_0_1528,i_0_1287,i_0_1494,i_0_954,i_0_956,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1863,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),X5),extension(X6,lower_dimension_point_3,X7,X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_956]) ).

cnf(i_0_1864,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1865,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),X5),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1001,i_0_1861,i_0_1864,i_0_106,i_0_108,i_0_1853,i_0_1528,i_0_1287,i_0_1494,i_0_954,i_0_1860,i_0_956,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1866,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_954]) ).

cnf(i_0_1867,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1868,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),X2,X5,X5),
    inference(scs_inference,[],[i_0_1001,i_0_1861,i_0_1864,i_0_662,i_0_106,i_0_108,i_0_1853,i_0_1528,i_0_502,i_0_1287,i_0_1494,i_0_120,i_0_954,i_0_1860,i_0_956,i_0_575,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1869,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_1870,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1871,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_1872,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_57]) ).

cnf(i_0_1873,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1874,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1875,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1876,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1877,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_1878,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_1879,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),X5),
    inference(rename_variables,[],[i_0_1350]) ).

cnf(i_0_1880,plain,
    equidistant(X1,extension(X1,X2,X3,X3),X1,X2),
    inference(rename_variables,[],[i_0_506]) ).

cnf(i_0_1882,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),extension(X6,X7,X2,X2),extension(X6,X7,X2,X2)),X5),
    inference(scs_inference,[],[i_0_1206,i_0_68]) ).

cnf(i_0_1883,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1884,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X7,X5,X5),extension(X6,X7,X5,X5)),X3,X5,X4),
    inference(scs_inference,[],[i_0_1206,i_0_68,i_0_63]) ).

cnf(i_0_1885,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1886,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),extension(X6,X7,X1,X1),extension(X6,X7,X1,X1)),X5),
    inference(scs_inference,[],[i_0_1206,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1887,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1888,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X7,X5,X5),extension(X6,X7,X5,X5)),X3,X4,X5),
    inference(scs_inference,[],[i_0_1206,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1889,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1890,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),extension(X6,X7,X2,X2),extension(X6,X7,X2,X2))),
    inference(scs_inference,[],[i_0_1206,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1891,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1892,plain,
    equidistant(X1,extension(X1,extension(X2,X1,X3,X4),X4,extension(X5,X4,X6,X6)),X4,X3),
    inference(scs_inference,[],[i_0_1206,i_0_687,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1893,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1894,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),extension(X6,X7,X1,X1),extension(X6,X7,X1,X1))),
    inference(scs_inference,[],[i_0_1206,i_0_687,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1895,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1896,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X6,X6),X3,X4),
    inference(scs_inference,[],[i_0_110,i_0_1534,i_0_1206,i_0_687,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1897,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X8,X9),
    inference(rename_variables,[],[i_0_1534]) ).

cnf(i_0_1898,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1899,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1900,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X6,X5),
    inference(scs_inference,[],[i_0_106,i_0_110,i_0_1898,i_0_1534,i_0_1206,i_0_687,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1901,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_1902,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1903,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1904,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),extension(X8,lower_dimension_point_3,X9,X9),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_106,i_0_110,i_0_1898,i_0_1534,i_0_1206,i_0_687,i_0_1548,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1905,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),extension(X8,lower_dimension_point_3,X9,X9),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1548]) ).

cnf(i_0_1906,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1907,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),lower_dimension_point_3,extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1001,i_0_1906,i_0_106,i_0_110,i_0_1898,i_0_1534,i_0_1206,i_0_687,i_0_1548,i_0_1905,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1908,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),extension(X8,lower_dimension_point_3,X9,X9),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1548]) ).

cnf(i_0_1909,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1910,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1001,i_0_1906,i_0_1909,i_0_106,i_0_110,i_0_1898,i_0_1534,i_0_1206,i_0_687,i_0_1548,i_0_1905,i_0_1551,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1911,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5)),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1551]) ).

cnf(i_0_1912,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_1913,plain,
    equidistant(extension(X1,X2,extension(X2,X2,X3,X3),X2),X2,X4,extension(X5,X4,X2,X2)),
    inference(scs_inference,[],[i_0_1001,i_0_1906,i_0_1909,i_0_662,i_0_106,i_0_110,i_0_1898,i_0_1534,i_0_1206,i_0_687,i_0_227,i_0_941,i_0_1548,i_0_1905,i_0_1551,i_0_575,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1914,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,X2,X1)),
    inference(rename_variables,[],[i_0_941]) ).

cnf(i_0_1915,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_1916,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_1917,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_1918,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_57]) ).

cnf(i_0_1919,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_1920,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_1922,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),extension(X1,X1,X6,X6),X1),X5),
    inference(scs_inference,[],[i_0_728,i_0_68]) ).

cnf(i_0_1923,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1924,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X5,X5,X6,X6),X5),X3,X4,X5),
    inference(scs_inference,[],[i_0_728,i_0_68,i_0_63]) ).

cnf(i_0_1925,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1926,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),extension(X2,X2,X6,X6),X2),X5),
    inference(scs_inference,[],[i_0_728,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1927,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1928,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X5,X5,X6,X6),X5),X3,X5,X4),
    inference(scs_inference,[],[i_0_728,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1929,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1930,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),extension(X1,X1,X6,X6),X1)),
    inference(scs_inference,[],[i_0_728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1931,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1932,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X5,X5,X6,X6),X5),X5,X4),
    inference(scs_inference,[],[i_0_728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1933,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1934,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),extension(X2,X2,X6,X6),X2)),
    inference(scs_inference,[],[i_0_728,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1935,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1936,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X2,X1),X5),
    inference(scs_inference,[],[i_0_106,i_0_728,i_0_1287,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1937,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_1938,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_1939,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1940,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X5,X6),
    inference(scs_inference,[],[i_0_106,i_0_1938,i_0_108,i_0_728,i_0_1287,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1941,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_1942,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_1943,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1944,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4))),
    inference(scs_inference,[],[i_0_1003,i_0_106,i_0_1938,i_0_108,i_0_728,i_0_1287,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1945,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1946,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_3),
    inference(scs_inference,[],[i_0_1003,i_0_1945,i_0_106,i_0_1938,i_0_108,i_0_728,i_0_1287,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1947,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1948,plain,
    ~ between(extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_1003,i_0_1945,i_0_1947,i_0_106,i_0_1938,i_0_108,i_0_728,i_0_1287,i_0_84,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1949,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1950,plain,
    equidistant(X1,extension(X1,extension(X2,X1,v,u),v,w),u,x),
    inference(scs_inference,[],[i_0_1003,i_0_1945,i_0_1947,i_0_106,i_0_1938,i_0_1942,i_0_108,i_0_728,i_0_1287,i_0_84,i_0_160,i_0_85,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1951,plain,
    equidistant(X1,extension(X2,X1,v,w),v,x),
    inference(rename_variables,[],[i_0_160]) ).

cnf(i_0_1952,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_1953,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_1954,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_57]) ).

cnf(i_0_1955,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_1956,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_1958,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),X1,extension(X1,X1,X6,X6)),X5),
    inference(scs_inference,[],[i_0_958,i_0_68]) ).

cnf(i_0_1959,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1960,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X5,extension(X5,X5,X6,X6)),X3,X4,X5),
    inference(scs_inference,[],[i_0_958,i_0_68,i_0_63]) ).

cnf(i_0_1961,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1962,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),X2,extension(X2,X2,X6,X6)),X5),
    inference(scs_inference,[],[i_0_958,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1963,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_1964,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X5,extension(X5,X5,X6,X6)),X3,X5,X4),
    inference(scs_inference,[],[i_0_958,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_1965,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_1966,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),X1,extension(X1,X1,X6,X6))),
    inference(scs_inference,[],[i_0_958,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_1967,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_1968,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X5,extension(X5,X5,X6,X6)),X5,X4),
    inference(scs_inference,[],[i_0_958,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_1969,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_1970,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),X2,extension(X2,X2,X6,X6))),
    inference(scs_inference,[],[i_0_958,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_1971,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_1972,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X2,X4),X6),
    inference(scs_inference,[],[i_0_110,i_0_958,i_0_1484,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_1973,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),extension(X8,X9,X7,X5),X9),
    inference(rename_variables,[],[i_0_1484]) ).

cnf(i_0_1974,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1975,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_1976,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,extension(X7,X8,X6,X6),extension(X9,X8,X6,X5)),
    inference(scs_inference,[],[i_0_110,i_0_1974,i_0_1141,i_0_958,i_0_1484,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_1977,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1141]) ).

cnf(i_0_1978,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1979,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_1980,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4))),
    inference(scs_inference,[],[i_0_1003,i_0_110,i_0_1974,i_0_82,i_0_1141,i_0_958,i_0_1484,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_1981,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1982,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1003,i_0_1981,i_0_110,i_0_1974,i_0_82,i_0_1141,i_0_958,i_0_1484,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_1983,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1984,plain,
    ~ between(extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1003,i_0_1981,i_0_1983,i_0_110,i_0_1974,i_0_82,i_0_1141,i_0_958,i_0_1484,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_1985,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1986,plain,
    equidistant(extension(X1,X2,v,u),extension(extension(X1,X2,v,u),X2,v,w),u,x),
    inference(scs_inference,[],[i_0_1003,i_0_1981,i_0_1983,i_0_110,i_0_1974,i_0_1978,i_0_82,i_0_1141,i_0_958,i_0_1484,i_0_160,i_0_85,i_0_70,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_1987,plain,
    equidistant(X1,extension(X2,X1,v,w),v,x),
    inference(rename_variables,[],[i_0_160]) ).

cnf(i_0_1988,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_1989,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_1990,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_57]) ).

cnf(i_0_1991,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_1992,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_1994,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X1,X2,X5,X5),X1),X4),
    inference(scs_inference,[],[i_0_757,i_0_68]) ).

cnf(i_0_1995,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_1996,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X3),X2,X4,X3),
    inference(scs_inference,[],[i_0_757,i_0_68,i_0_63]) ).

cnf(i_0_1997,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_1998,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X2,X1,X5,X5),X2),X4),
    inference(scs_inference,[],[i_0_757,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_1999,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2000,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X3),X2,X3,X4),
    inference(scs_inference,[],[i_0_757,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_2001,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2002,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X1,X2,X5,X5),X1)),
    inference(scs_inference,[],[i_0_757,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_2003,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2004,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X4,X4),X4,X5),
    inference(scs_inference,[],[i_0_757,i_0_1554,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_2005,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2006,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X2,X1,X5,X5),X2)),
    inference(scs_inference,[],[i_0_757,i_0_1554,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_2007,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2008,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,X5,X4,X2)),
    inference(scs_inference,[],[i_0_108,i_0_757,i_0_1554,i_0_1630,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2009,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X7),extension(X2,X3,X4,X4),X8,extension(X9,X8,X7,X6)),
    inference(rename_variables,[],[i_0_1630]) ).

cnf(i_0_2010,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X3,X4),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_2011,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2012,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),extension(X7,X8,X6,X6),extension(X9,X8,X6,X5)),
    inference(scs_inference,[],[i_0_106,i_0_108,i_0_757,i_0_1554,i_0_1141,i_0_1630,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2013,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1141]) ).

cnf(i_0_2014,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_2015,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2016,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3)),
    inference(scs_inference,[],[i_0_220,i_0_82,i_0_106,i_0_108,i_0_757,i_0_1554,i_0_1141,i_0_1630,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2017,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_2018,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),X3),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_220,i_0_2017,i_0_82,i_0_106,i_0_108,i_0_757,i_0_1554,i_0_1141,i_0_1630,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2019,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_2020,plain,
    ~ between(extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),X3),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_220,i_0_2017,i_0_2019,i_0_82,i_0_106,i_0_108,i_0_757,i_0_1554,i_0_1141,i_0_1630,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2021,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),X4) = X2,
    inference(rename_variables,[],[i_0_220]) ).

cnf(i_0_2022,plain,
    ( ~ between(X1,extension(X2,X1,extension(X1,X1,X3,X3),X1),X1)
    | equidistant(X1,X1,X1,extension(X4,extension(X1,X1,X3,X3),X1,X1)) ),
    inference(scs_inference,[],[i_0_220,i_0_2017,i_0_2019,i_0_82,i_0_106,i_0_2014,i_0_108,i_0_757,i_0_1554,i_0_1141,i_0_227,i_0_1913,i_0_1630,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2023,plain,
    equidistant(extension(X1,X2,extension(X2,X2,X3,X3),X2),X2,X4,extension(X5,X4,X2,X2)),
    inference(rename_variables,[],[i_0_1913]) ).

cnf(i_0_2024,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2025,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_2026,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_57]) ).

cnf(i_0_2027,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2028,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2029,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2030,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_2031,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2032,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,X5,X6),
    inference(rename_variables,[],[i_0_287]) ).

cnf(i_0_2034,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1494,i_0_68]) ).

cnf(i_0_2035,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2036,plain,
    equidistant(extension(X1,extension(X2,X1,X3,X4),X5,X5),X1,X3,X4),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_68,i_0_63]) ).

cnf(i_0_2037,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2038,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_68,i_0_63,i_0_66]) ).

cnf(i_0_2039,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2040,plain,
    equidistant(extension(X1,extension(X2,X1,X3,X4),X5,X5),X1,X4,X3),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_68,i_0_63,i_0_66,i_0_64]) ).

cnf(i_0_2041,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2042,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X2,X1)),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67]) ).

cnf(i_0_2043,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2044,plain,
    equidistant(X1,extension(X1,extension(X2,X1,X3,X4),X5,X5),X4,X3),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62]) ).

cnf(i_0_2045,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2046,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X1,X2)),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65]) ).

cnf(i_0_2047,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2048,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1494,i_0_1692,i_0_740,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2049,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),X5,extension(X6,X5,X7,X7)),
    inference(rename_variables,[],[i_0_740]) ).

cnf(i_0_2050,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2051,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2052,plain,
    equidistant(extension(X1,X2,X2,extension(X3,X2,X4,X4)),X2,extension(X5,X6,X4,X4),extension(X7,X6,X4,X4)),
    inference(scs_inference,[],[i_0_1239,i_0_1494,i_0_1692,i_0_1291,i_0_740,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2053,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X3,X4)),
    inference(rename_variables,[],[i_0_1291]) ).

cnf(i_0_2054,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),X3,X2,extension(X4,X3,X5,X5)),
    inference(rename_variables,[],[i_0_1239]) ).

cnf(i_0_2055,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2056,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,extension(X3,X2,X4,X4))),
    inference(scs_inference,[],[i_0_262,i_0_84,i_0_1239,i_0_1494,i_0_1692,i_0_1291,i_0_740,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2057,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_2058,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),lower_dimension_point_3),
    inference(scs_inference,[],[i_0_262,i_0_2057,i_0_84,i_0_1239,i_0_1494,i_0_1692,i_0_1291,i_0_740,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2059,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_2060,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,extension(X3,X2,X4,X4)),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_262,i_0_2057,i_0_2059,i_0_84,i_0_1239,i_0_1494,i_0_1692,i_0_1291,i_0_740,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2061,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_2062,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),X2,X5,extension(X6,X5,X2,X2)),
    inference(scs_inference,[],[i_0_262,i_0_2057,i_0_2059,i_0_662,i_0_84,i_0_1239,i_0_1494,i_0_1692,i_0_1291,i_0_575,i_0_227,i_0_740,i_0_2008,i_0_68,i_0_63,i_0_66,i_0_64,i_0_67,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2063,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,X5,X4,X2)),
    inference(rename_variables,[],[i_0_2008]) ).

cnf(i_0_2064,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2065,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2066,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_57]) ).

cnf(i_0_2067,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2068,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2070,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X1),extension(X7,X6,X1,X2)),X4),
    inference(scs_inference,[],[i_0_1030,i_0_68]) ).

cnf(i_0_2071,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2072,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X2),extension(X7,X6,X2,X1)),X4),
    inference(scs_inference,[],[i_0_1030,i_0_68,i_0_66]) ).

cnf(i_0_2073,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2074,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X7)),X2,X7,X5),
    inference(scs_inference,[],[i_0_1030,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2075,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2076,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X1,X1),extension(X7,X6,X1,X2))),
    inference(scs_inference,[],[i_0_1030,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2077,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2078,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X7)),X2,X5,X7),
    inference(scs_inference,[],[i_0_1030,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2079,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2080,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),extension(X7,X4,X6,X6)),X5,X6),
    inference(scs_inference,[],[i_0_1030,i_0_1636,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2081,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2082,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X2,X2),extension(X7,X6,X2,X1))),
    inference(scs_inference,[],[i_0_1030,i_0_1636,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2083,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2084,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X6),X3,X5,X6),
    inference(scs_inference,[],[i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2085,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_2086,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2087,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2088,plain,
    equidistant(extension(X1,X2,X2,extension(X3,X2,X4,X4)),X2,X5,X5),
    inference(scs_inference,[],[i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2089,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
    inference(rename_variables,[],[i_0_371]) ).

cnf(i_0_2090,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),X3,X2,extension(X4,X3,X5,X5)),
    inference(rename_variables,[],[i_0_1239]) ).

cnf(i_0_2091,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2092,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2)),
    inference(scs_inference,[],[i_0_105,i_0_84,i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2093,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2094,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3),
    inference(scs_inference,[],[i_0_105,i_0_2093,i_0_84,i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2095,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2096,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3),
    inference(scs_inference,[],[i_0_105,i_0_2093,i_0_2095,i_0_84,i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2097,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2098,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),X2,X5,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_105,i_0_2093,i_0_2095,i_0_84,i_0_662,i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_575,i_0_227,i_0_2048,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2099,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2048]) ).

cnf(i_0_2100,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2101,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2102,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_57]) ).

cnf(i_0_2103,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,X5) = X3,
    inference(scs_inference,[],[i_0_105,i_0_2093,i_0_2095,i_0_84,i_0_662,i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_575,i_0_227,i_0_2048,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73]) ).

cnf(i_0_2104,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_2105,plain,
    X1 = extension(X2,extension(X3,X1,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_105,i_0_2093,i_0_2095,i_0_84,i_0_662,i_0_1239,i_0_1287,i_0_61,i_0_1030,i_0_1636,i_0_371,i_0_575,i_0_227,i_0_2048,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_2106,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2107,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),lower_dimension_point_2,X4)
    | between(extension(X5,lower_dimension_point_3,X6,X6),extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2)
    | between(extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2,extension(X5,lower_dimension_point_3,X6,X6))
    | ~ equidistant(extension(X5,lower_dimension_point_3,X6,X6),extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4),extension(X5,lower_dimension_point_3,X6,X6),X4)
    | extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X2,lower_dimension_point_1,X3,X3),X4) = X4 ),
    inference(rename_variables,[],[i_0_532]) ).

cnf(i_0_2108,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2110,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X1),extension(X7,X6,X2,X1)),X4),
    inference(scs_inference,[],[i_0_1177,i_0_68]) ).

cnf(i_0_2111,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2112,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X2),extension(X7,X6,X1,X2)),X4),
    inference(scs_inference,[],[i_0_1177,i_0_68,i_0_66]) ).

cnf(i_0_2113,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2114,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X7,X5)),X2,X7,X5),
    inference(scs_inference,[],[i_0_1177,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2115,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2116,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X1,X1),extension(X7,X6,X2,X1))),
    inference(scs_inference,[],[i_0_1177,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2117,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2118,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X7,X5)),X2,X5,X7),
    inference(scs_inference,[],[i_0_1177,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2119,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2120,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X6,extension(X7,X6,X5,X5)),X5,X4),
    inference(scs_inference,[],[i_0_1177,i_0_1781,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2121,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2122,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X2,X2),extension(X7,X6,X1,X2))),
    inference(scs_inference,[],[i_0_1177,i_0_1781,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2123,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2124,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),X2,extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X3,X3),extension(X5,X6,X3,X3))),
    inference(scs_inference,[],[i_0_533,i_0_1321,i_0_1177,i_0_1781,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2125,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),X7),extension(X2,X3,X4,X4),X6,X7),
    inference(rename_variables,[],[i_0_1321]) ).

cnf(i_0_2126,plain,
    equidistant(extension(X1,X1,X2,extension(X3,X2,X1,X1)),X1,X2,X2),
    inference(rename_variables,[],[i_0_533]) ).

cnf(i_0_2127,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2128,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,v,w),v,x),
    inference(scs_inference,[],[i_0_533,i_0_1494,i_0_1321,i_0_1177,i_0_1781,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2129,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2130,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2131,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_163,i_0_533,i_0_1494,i_0_1321,i_0_1177,i_0_1781,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2132,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2133,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1003,i_0_2132,i_0_163,i_0_533,i_0_1494,i_0_1321,i_0_1177,i_0_1781,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2134,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2135,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_3,extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1003,i_0_2132,i_0_2134,i_0_163,i_0_533,i_0_1494,i_0_1321,i_0_1177,i_0_1781,i_0_80,i_0_167,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2136,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2137,plain,
    equidistant(extension(X1,X2,X3,X3),extension(extension(X1,X2,X3,X3),extension(X4,X2,u,v),v,w),u,x),
    inference(scs_inference,[],[i_0_1003,i_0_2132,i_0_2134,i_0_163,i_0_533,i_0_1494,i_0_2129,i_0_1321,i_0_1177,i_0_1781,i_0_80,i_0_167,i_0_160,i_0_85,i_0_70,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2138,plain,
    equidistant(X1,extension(X2,X1,v,w),v,x),
    inference(rename_variables,[],[i_0_160]) ).

cnf(i_0_2139,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_2140,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2141,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_57]) ).

cnf(i_0_2142,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2143,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2145,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X5,extension(X6,X5,X2,X1))),
    inference(scs_inference,[],[i_0_247,i_0_68]) ).

cnf(i_0_2146,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2147,plain,
    equidistant(X1,X2,extension(X3,X4,X1,extension(X5,X2,X6,X6)),X4),
    inference(scs_inference,[],[i_0_247,i_0_1646,i_0_68,i_0_66]) ).

cnf(i_0_2148,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2149,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X5,X6,X6)),X2,X3,X5),
    inference(scs_inference,[],[i_0_247,i_0_1646,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2150,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2151,plain,
    equidistant(X1,X2,extension(X3,X4,X5,extension(X6,X5,X2,X1)),X4),
    inference(scs_inference,[],[i_0_247,i_0_1646,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2152,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2153,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X5,X6,X6)),X2,X5,X3),
    inference(scs_inference,[],[i_0_247,i_0_1646,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2154,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2155,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X5,X6,X6)),X5,X3),
    inference(scs_inference,[],[i_0_247,i_0_1646,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2156,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2157,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X1,extension(X5,X2,X6,X6))),
    inference(scs_inference,[],[i_0_247,i_0_1646,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2158,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2159,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),
    inference(scs_inference,[],[i_0_502,i_0_247,i_0_1646,i_0_1165,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2160,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1165]) ).

cnf(i_0_2161,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2162,plain,
    equidistant(extension(X1,X2,w,v),X2,v,x),
    inference(scs_inference,[],[i_0_502,i_0_110,i_0_247,i_0_1646,i_0_1165,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2163,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X4,X3),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_2164,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2165,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4))),
    inference(scs_inference,[],[i_0_262,i_0_82,i_0_502,i_0_110,i_0_247,i_0_1646,i_0_1165,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2166,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_2167,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,extension(X3,X2,X4,X4)),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_262,i_0_2166,i_0_82,i_0_502,i_0_110,i_0_247,i_0_1646,i_0_1165,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2168,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_2169,plain,
    ~ between(extension(X1,lower_dimension_point_3,X2,extension(X3,X2,X4,X4)),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_262,i_0_2166,i_0_2168,i_0_82,i_0_502,i_0_110,i_0_247,i_0_1646,i_0_1165,i_0_80,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2170,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_262]) ).

cnf(i_0_2171,plain,
    ( ~ between(extension(x,extension(X1,x,v,u),x,x),x,v)
    | equidistant(u,w,extension(x,extension(X1,x,v,u),x,x),v) ),
    inference(scs_inference,[],[i_0_262,i_0_2166,i_0_2168,i_0_82,i_0_502,i_0_110,i_0_247,i_0_1646,i_0_1165,i_0_80,i_0_273,i_0_147,i_0_86,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2172,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X2,X1),X3,X3),X3),
    inference(rename_variables,[],[i_0_273]) ).

cnf(i_0_2173,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_57]) ).

cnf(i_0_2174,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2175,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2176,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2177,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2178,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2179,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2181,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),extension(X7,X8,X2,X1),extension(X9,X8,X5,X5))),
    inference(scs_inference,[],[i_0_1354,i_0_68]) ).

cnf(i_0_2182,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2183,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,extension(X3,X4,X5,X5),extension(X7,X8,X1,X2),extension(X9,X8,X5,X5))),
    inference(scs_inference,[],[i_0_1354,i_0_68,i_0_66]) ).

cnf(i_0_2184,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2185,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X7,X8),extension(X9,X6,X3,X3)),X7,X8),
    inference(scs_inference,[],[i_0_1354,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2186,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2187,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),extension(X7,X8,X2,X1),extension(X9,X8,X6,X6)),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_1354,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2188,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2189,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),extension(X5,X6,X7,X8),extension(X9,X6,X3,X3)),X8,X7),
    inference(scs_inference,[],[i_0_1354,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2190,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2191,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X7,X8),extension(X9,X6,X4,X4)),extension(X2,X3,X4,X4),X8,X7),
    inference(scs_inference,[],[i_0_1354,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2192,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2193,plain,
    equidistant(X1,X2,X3,extension(X3,extension(X4,X3,X1,X2),X2,extension(X5,X2,X6,X6))),
    inference(scs_inference,[],[i_0_1354,i_0_687,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2194,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2195,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X6),X3,extension(X7,X8,X6,X6),extension(X9,X8,X5,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_1354,i_0_687,i_0_1291,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2196,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X3,X4)),
    inference(rename_variables,[],[i_0_1291]) ).

cnf(i_0_2197,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2198,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2199,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X6,X7,X7),X6),X8,X8),
    inference(scs_inference,[],[i_0_1494,i_0_502,i_0_1287,i_0_1354,i_0_687,i_0_1291,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2200,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2201,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2202,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2203,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2)),
    inference(scs_inference,[],[i_0_105,i_0_82,i_0_1494,i_0_502,i_0_1287,i_0_1354,i_0_687,i_0_1291,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2204,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2205,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_105,i_0_2204,i_0_82,i_0_1494,i_0_502,i_0_1287,i_0_1354,i_0_687,i_0_1291,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2206,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2207,plain,
    ~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_105,i_0_2204,i_0_2206,i_0_82,i_0_1494,i_0_502,i_0_1287,i_0_1354,i_0_687,i_0_1291,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2208,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2209,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_2204,i_0_2206,i_0_82,i_0_1494,i_0_502,i_0_1287,i_0_1354,i_0_687,i_0_1291,i_0_2094,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_226]) ).

cnf(i_0_2210,plain,
    ( between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2))
    | between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3)
    | ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2) ),
    inference(rename_variables,[],[i_0_226]) ).

cnf(i_0_2211,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X4,X4),extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_2204,i_0_2206,i_0_82,i_0_1494,i_0_502,i_0_2200,i_0_1287,i_0_575,i_0_1354,i_0_687,i_0_1291,i_0_120,i_0_2094,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_226,i_0_57]) ).

cnf(i_0_2212,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2213,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2214,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2215,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_57]) ).

cnf(i_0_2216,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_2,X4,X4))
    | ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_105,i_0_2204,i_0_2206,i_0_2208,i_0_82,i_0_1494,i_0_502,i_0_2200,i_0_1287,i_0_575,i_0_1354,i_0_687,i_0_1291,i_0_120,i_0_2094,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_226,i_0_57,i_0_99]) ).

cnf(i_0_2217,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_2218,plain,
    ~ between(extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_1,lower_dimension_point_2),
    inference(rename_variables,[],[i_0_1984]) ).

cnf(i_0_2219,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2)),
    inference(rename_variables,[],[i_0_2092]) ).

cnf(i_0_2220,plain,
    ( between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2)
    | between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2))
    | ~ equidistant(extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(rename_variables,[],[i_0_349]) ).

cnf(i_0_2221,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_2),
    inference(rename_variables,[],[i_0_1982]) ).

cnf(i_0_2222,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3),
    inference(rename_variables,[],[i_0_2096]) ).

cnf(i_0_2223,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2224,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2226,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),X1,X1),X5),
    inference(scs_inference,[],[i_0_560,i_0_68]) ).

cnf(i_0_2227,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2228,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),X2,X2),X5),
    inference(scs_inference,[],[i_0_560,i_0_68,i_0_66]) ).

cnf(i_0_2229,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2230,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X5,X5),X3,X4,X5),
    inference(scs_inference,[],[i_0_560,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2231,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2232,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),X1,X1)),
    inference(scs_inference,[],[i_0_560,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2233,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2234,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X5,X5),X3,X5,X4),
    inference(scs_inference,[],[i_0_560,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2235,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2236,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X5,X5),X5,X4),
    inference(scs_inference,[],[i_0_560,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2237,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2238,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),X2,X2)),
    inference(scs_inference,[],[i_0_560,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2239,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2240,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),extension(X7,X3,X6,X6),X5,X4),
    inference(scs_inference,[],[i_0_1395,i_0_1528,i_0_560,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2241,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X9)),extension(X2,X3,X4,X4),X9,X8),
    inference(rename_variables,[],[i_0_1528]) ).

cnf(i_0_2242,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X6),X2,extension(X7,X6,X5,X5),extension(X3,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1395]) ).

cnf(i_0_2243,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2244,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X7,X7)),
    inference(scs_inference,[],[i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_2159,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2245,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),
    inference(rename_variables,[],[i_0_2159]) ).

cnf(i_0_2246,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2247,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_2096,i_0_2159,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2248,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2249,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_167,i_0_2096,i_0_2159,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2250,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2251,plain,
    ~ between(extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_2,extension(X6,lower_dimension_point_3,X7,X7)),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_167,i_0_2092,i_0_2096,i_0_2159,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2252,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2253,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,X5) = extension(X6,X3,X5,X5),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_167,i_0_2092,i_0_2096,i_0_2159,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73]) ).

cnf(i_0_2254,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_2255,plain,
    extension(X1,X2,X3,X3) = extension(X4,extension(X5,X2,X6,X6),X3,X3),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_167,i_0_2092,i_0_2096,i_0_2159,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73,i_0_90]) ).

cnf(i_0_2256,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2)
    | ~ equidistant(extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_167,i_0_2092,i_0_2096,i_0_2159,i_0_2207,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73,i_0_90,i_0_349]) ).

cnf(i_0_2257,plain,
    ~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2),
    inference(rename_variables,[],[i_0_2207]) ).

cnf(i_0_2258,plain,
    ( between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,lower_dimension_point_2)
    | between(lower_dimension_point_1,lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2))
    | ~ equidistant(extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(rename_variables,[],[i_0_349]) ).

cnf(i_0_2259,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),X4,X4),extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_502,i_0_575,i_0_167,i_0_120,i_0_2092,i_0_2096,i_0_2159,i_0_2207,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73,i_0_90,i_0_349,i_0_57]) ).

cnf(i_0_2260,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2261,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2262,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2263,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_57]) ).

cnf(i_0_2264,plain,
    ( between(X1,X2,extension(X3,extension(X4,X2,X5,X5),X6,X6))
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_502,i_0_575,i_0_167,i_0_120,i_0_2092,i_0_2096,i_0_2159,i_0_2207,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73,i_0_90,i_0_349,i_0_57,i_0_71]) ).

cnf(i_0_2265,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_2266,plain,
    ( ~ equidistant(lower_dimension_point_3,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X2,X3,X4,X4)),lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_1001,i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_502,i_0_575,i_0_167,i_0_120,i_0_2092,i_0_2096,i_0_2159,i_0_2207,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73,i_0_90,i_0_349,i_0_57,i_0_71,i_0_96]) ).

cnf(i_0_2267,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2268,plain,
    ( ~ equidistant(extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X2,X3,X4,X4)),extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_3,lower_dimension_point_2)
    | ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_1001,i_0_2267,i_0_1003,i_0_2248,i_0_2250,i_0_662,i_0_1395,i_0_1528,i_0_560,i_0_502,i_0_575,i_0_167,i_0_120,i_0_2092,i_0_2096,i_0_2159,i_0_2207,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_73,i_0_90,i_0_349,i_0_57,i_0_71,i_0_96,i_0_98]) ).

cnf(i_0_2269,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2270,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2),
    inference(rename_variables,[],[i_0_2205]) ).

cnf(i_0_2271,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2272,plain,
    ( between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2)
    | between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3)
    | ~ equidistant(lower_dimension_point_2,extension(X3,extension(X1,lower_dimension_point_1,X2,X2),extension(X1,lower_dimension_point_1,X2,X2),X4),lower_dimension_point_2,X4)
    | ~ equidistant(lower_dimension_point_3,extension(X3,extension(X1,lower_dimension_point_1,X2,X2),extension(X1,lower_dimension_point_1,X2,X2),X4),lower_dimension_point_3,X4)
    | extension(X3,extension(X1,lower_dimension_point_1,X2,X2),extension(X1,lower_dimension_point_1,X2,X2),X4) = X4 ),
    inference(rename_variables,[],[i_0_497]) ).

cnf(i_0_2273,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2274,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_2275,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2276,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,X4),
    inference(rename_variables,[],[i_0_1847]) ).

cnf(i_0_2277,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2278,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2279,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2280,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2281,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2283,plain,
    between(X1,X2,extension(X3,extension(X4,X2,X5,X5),X6,X6)),
    inference(scs_inference,[],[i_0_2253,i_0_71]) ).

cnf(i_0_2284,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_2285,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),X1,X1),X5),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_71,i_0_68]) ).

cnf(i_0_2286,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2287,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),X2,X2),X5),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_71,i_0_68,i_0_66]) ).

cnf(i_0_2288,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2289,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X4,X4),X3,X5,X4),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_71,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2290,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2291,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),X1,X1)),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2292,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2293,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X4,X4),X3,X4,X5),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2294,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2295,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),extension(X6,X7,X5,X5),X7),X5,X4),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_769,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2296,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2297,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),X2,X2)),
    inference(scs_inference,[],[i_0_2253,i_0_1554,i_0_769,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2298,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2299,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),X5,X6),X5,X6),
    inference(scs_inference,[],[i_0_2253,i_0_1847,i_0_61,i_0_1554,i_0_769,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2300,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_2301,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,X4),
    inference(rename_variables,[],[i_0_1847]) ).

cnf(i_0_2302,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2303,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,extension(X7,X8,X5,X4),extension(X9,X8,X5,X5)),
    inference(scs_inference,[],[i_0_2253,i_0_1847,i_0_2301,i_0_1161,i_0_61,i_0_1554,i_0_769,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2304,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1161]) ).

cnf(i_0_2305,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,X4),
    inference(rename_variables,[],[i_0_1847]) ).

cnf(i_0_2306,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2307,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_3,X9,X9),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_2253,i_0_1847,i_0_2301,i_0_1161,i_0_61,i_0_1554,i_0_769,i_0_1597,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2308,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_3,X9,X9),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1597]) ).

cnf(i_0_2309,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2310,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_3,X7,X7)),
    inference(scs_inference,[],[i_0_1001,i_0_1003,i_0_2253,i_0_1847,i_0_2301,i_0_1161,i_0_61,i_0_1554,i_0_769,i_0_2092,i_0_1597,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2311,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2312,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1001,i_0_2309,i_0_1003,i_0_2253,i_0_1847,i_0_2301,i_0_1161,i_0_61,i_0_1554,i_0_769,i_0_2092,i_0_1597,i_0_1600,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2313,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),extension(X8,X7,X9,X9)),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1600]) ).

cnf(i_0_2314,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2315,plain,
    equidistant(extension(X1,u,X2,X2),extension(extension(X1,u,X2,X2),v,v,w),u,x),
    inference(scs_inference,[],[i_0_1001,i_0_2309,i_0_1003,i_0_2253,i_0_1847,i_0_2301,i_0_2305,i_0_1161,i_0_61,i_0_1554,i_0_769,i_0_2092,i_0_1597,i_0_1600,i_0_160,i_0_85,i_0_70,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2316,plain,
    equidistant(X1,extension(X2,X1,v,w),v,x),
    inference(rename_variables,[],[i_0_160]) ).

cnf(i_0_2317,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_2318,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,X4),
    inference(rename_variables,[],[i_0_1847]) ).

cnf(i_0_2319,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_57]) ).

cnf(i_0_2320,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2321,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2322,plain,
    ~ between(extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_2,extension(X6,lower_dimension_point_3,X7,X7)),
    inference(rename_variables,[],[i_0_2251]) ).

cnf(i_0_2324,plain,
    between(X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_2255,i_0_71]) ).

cnf(i_0_2325,plain,
    ( X1 != extension(X2,X3,X4,X5)
    | between(X2,X3,X1) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_2326,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X1),extension(X7,X6,X2,X2)),X4),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68]) ).

cnf(i_0_2327,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2328,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X2),extension(X7,X6,X1,X1)),X4),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68,i_0_66]) ).

cnf(i_0_2329,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2330,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),extension(X7,X4,X5,X5)),X2,X5,X6),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2331,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2332,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X2,X1),extension(X7,X6,X2,X2))),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2333,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2334,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),extension(X7,X4,X5,X5)),X2,X6,X5),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2335,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2336,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),extension(X7,X4,X5,X5)),X6,X5),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2337,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2338,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X1,X2),extension(X7,X6,X1,X1))),
    inference(scs_inference,[],[i_0_2255,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2339,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2340,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),X6,X6)),
    inference(scs_inference,[],[i_0_2255,i_0_502,i_0_1358,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2341,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X3,X1),
    inference(rename_variables,[],[i_0_1358]) ).

cnf(i_0_2342,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2343,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2344,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),X6,X6),
    inference(scs_inference,[],[i_0_2255,i_0_502,i_0_2342,i_0_1287,i_0_1358,i_0_987,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2345,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2346,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2347,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2348,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2),extension(X3,lower_dimension_point_2,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_2255,i_0_502,i_0_2342,i_0_1287,i_0_1358,i_0_987,i_0_2205,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2349,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2350,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,X2),extension(X3,lower_dimension_point_2,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6)),lower_dimension_point_3),
    inference(scs_inference,[],[i_0_1003,i_0_2349,i_0_2255,i_0_502,i_0_2342,i_0_1287,i_0_1358,i_0_987,i_0_2205,i_0_2096,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2351,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2352,plain,
    ~ between(extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_1,X7,X7),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1003,i_0_2349,i_0_2351,i_0_2255,i_0_502,i_0_2342,i_0_1287,i_0_1358,i_0_987,i_0_2205,i_0_2096,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2353,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2354,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,extension(X6,X5,X7,X7)),X7,X7),
    inference(scs_inference,[],[i_0_1003,i_0_2349,i_0_2351,i_0_2255,i_0_502,i_0_2342,i_0_2345,i_0_1287,i_0_1358,i_0_987,i_0_331,i_0_2205,i_0_2096,i_0_120,i_0_777,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2355,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,X5),
    inference(rename_variables,[],[i_0_331]) ).

cnf(i_0_2356,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_2357,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2358,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_57]) ).

cnf(i_0_2359,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X3,X3),X5),
    inference(scs_inference,[],[i_0_1003,i_0_2349,i_0_2351,i_0_2255,i_0_502,i_0_2342,i_0_2345,i_0_1287,i_0_1358,i_0_987,i_0_331,i_0_2205,i_0_2096,i_0_120,i_0_777,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_1827]) ).

cnf(i_0_2360,plain,
    ( ~ between(X1,extension(extension(X2,X1,X3,X3),X1,extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),extension(X2,X1,X3,X3))
    | equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X3,X3),X5) ),
    inference(rename_variables,[],[i_0_1827]) ).

cnf(i_0_2361,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_1003,i_0_2349,i_0_2351,i_0_2255,i_0_502,i_0_2342,i_0_2345,i_0_1287,i_0_1358,i_0_987,i_0_331,i_0_2205,i_0_2096,i_0_120,i_0_777,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_1827,i_0_73]) ).

cnf(i_0_2362,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_2363,plain,
    extension(X1,X2,X3,extension(X4,X3,X5,X5)) = extension(X6,X2,X7,X7),
    inference(scs_inference,[],[i_0_1003,i_0_2349,i_0_2351,i_0_2255,i_0_502,i_0_2342,i_0_2345,i_0_1287,i_0_1358,i_0_987,i_0_331,i_0_2205,i_0_2096,i_0_120,i_0_777,i_0_71,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_1827,i_0_73,i_0_90]) ).

cnf(i_0_2364,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2365,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2366,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2367,plain,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | ~ equidistant(X3,X4,X3,X5)
    | ~ equidistant(X1,X4,X1,X5)
    | ~ equidistant(X2,X4,X2,X5)
    | between(X3,X1,X2)
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_2368,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2369,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2370,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2371,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2373,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X1,X2),extension(X7,X6,X2,X2)),X4),
    inference(scs_inference,[],[i_0_1636,i_0_68]) ).

cnf(i_0_2374,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2375,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X1),extension(X7,X6,X1,X1)),X4),
    inference(scs_inference,[],[i_0_1636,i_0_68,i_0_66]) ).

cnf(i_0_2376,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2377,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),extension(X7,X4,X6,X6)),X2,X6,X5),
    inference(scs_inference,[],[i_0_1636,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2378,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2379,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X1,X2),extension(X7,X6,X2,X2))),
    inference(scs_inference,[],[i_0_1636,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2380,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2381,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),extension(X7,X4,X6,X6)),X2,X5,X6),
    inference(scs_inference,[],[i_0_1636,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2382,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2383,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,extension(X7,X8,X6,X5),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_1636,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2384,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2385,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X2,X1),extension(X7,X6,X1,X1))),
    inference(scs_inference,[],[i_0_1636,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2386,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2387,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X5),X3,X6,X6),
    inference(scs_inference,[],[i_0_1287,i_0_1636,i_0_371,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2388,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,X4),
    inference(rename_variables,[],[i_0_371]) ).

cnf(i_0_2389,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2390,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2391,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),X5),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_2389,i_0_1636,i_0_371,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2392,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2393,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2394,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2395,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_502,i_0_1287,i_0_2389,i_0_1636,i_0_2094,i_0_371,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2396,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2397,plain,
    ~ between(lower_dimension_point_3,extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_2,X7,X7)),
    inference(scs_inference,[],[i_0_1003,i_0_2396,i_0_502,i_0_1287,i_0_2389,i_0_2203,i_0_1636,i_0_2094,i_0_371,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2398,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2399,plain,
    ~ between(extension(X1,lower_dimension_point_3,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),lower_dimension_point_1,extension(X6,lower_dimension_point_2,X7,X7)),
    inference(scs_inference,[],[i_0_1003,i_0_2396,i_0_2398,i_0_502,i_0_1287,i_0_2389,i_0_2203,i_0_1636,i_0_2094,i_0_371,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2400,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2401,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X4,X6,X6),X2),
    inference(scs_inference,[],[i_0_1003,i_0_2396,i_0_2398,i_0_502,i_0_2393,i_0_1287,i_0_2389,i_0_2392,i_0_2203,i_0_1636,i_0_2094,i_0_371,i_0_575,i_0_1976,i_0_120,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2402,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2403,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2404,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2405,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2406,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_57]) ).

cnf(i_0_2407,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2408,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2409,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2410,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2411,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2412,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2413,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2415,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),X6,extension(X7,X6,X1,X1)),X5),
    inference(scs_inference,[],[i_0_1781,i_0_68]) ).

cnf(i_0_2416,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2417,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),X6,extension(X7,X6,X2,X2)),X5),
    inference(scs_inference,[],[i_0_1781,i_0_68,i_0_66]) ).

cnf(i_0_2418,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2419,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,extension(X7,X6,X5,X5)),X3,X4,X5),
    inference(scs_inference,[],[i_0_1781,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2420,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2421,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),X6,extension(X7,X6,X1,X1))),
    inference(scs_inference,[],[i_0_1781,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2422,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2423,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,extension(X7,X6,X5,X5)),X3,X5,X4),
    inference(scs_inference,[],[i_0_1781,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2424,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2425,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),extension(X7,X8,X6,X5),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_1781,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62]) ).

cnf(i_0_2426,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2427,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),X6,extension(X7,X6,X2,X2))),
    inference(scs_inference,[],[i_0_1781,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65]) ).

cnf(i_0_2428,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2429,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X6),X3,extension(X7,X8,X6,X5),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_1781,i_0_1105,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59]) ).

cnf(i_0_2430,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1105]) ).

cnf(i_0_2431,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2432,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2433,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),extension(X7,X8,X6,X5),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_2431,i_0_1161,i_0_1781,i_0_1105,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58]) ).

cnf(i_0_2434,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1161]) ).

cnf(i_0_2435,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2436,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2437,plain,
    ~ between(extension(X1,lower_dimension_point_3,X2,X2),lower_dimension_point_1,extension(X3,lower_dimension_point_2,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_2207,i_0_1287,i_0_2431,i_0_1161,i_0_1781,i_0_1105,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2438,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2439,plain,
    ~ between(extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_1,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6)),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1003,i_0_2438,i_0_2207,i_0_1287,i_0_2431,i_0_1161,i_0_1781,i_0_1105,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2440,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2441,plain,
    ~ between(extension(X1,lower_dimension_point_1,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_2,X7,X7),lower_dimension_point_3),
    inference(scs_inference,[],[i_0_1003,i_0_2438,i_0_2440,i_0_2207,i_0_2094,i_0_1287,i_0_2431,i_0_1161,i_0_1781,i_0_1105,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2442,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2443,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X6,X7,X7),extension(X5,X6,X7,X7)),extension(X5,X6,X7,X7),X6),
    inference(scs_inference,[],[i_0_1003,i_0_2438,i_0_2440,i_0_2207,i_0_2094,i_0_502,i_0_1287,i_0_2431,i_0_1161,i_0_1781,i_0_1105,i_0_1646,i_0_227,i_0_575,i_0_2012,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_62,i_0_65,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2444,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X5,X6,X6)),X3,X5),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_2445,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2446,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2447,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2448,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_57]) ).

cnf(i_0_2449,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2450,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2451,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2452,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2453,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2454,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2455,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2457,plain,
    equidistant(X1,X2,extension(X3,X4,extension(X5,X6,X2,X1),X6),X4),
    inference(scs_inference,[],[i_0_203,i_0_68]) ).

cnf(i_0_2458,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2459,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X1,X2),X2,extension(X5,X2,X6,X6)),X3),
    inference(scs_inference,[],[i_0_203,i_0_687,i_0_68,i_0_66]) ).

cnf(i_0_2460,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2461,plain,
    equidistant(extension(X1,extension(X2,X1,X3,X4),X4,extension(X5,X4,X6,X6)),X1,X3,X4),
    inference(scs_inference,[],[i_0_203,i_0_687,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2462,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2463,plain,
    equidistant(X1,X2,X3,extension(X4,X3,extension(X5,X6,X2,X1),X6)),
    inference(scs_inference,[],[i_0_203,i_0_687,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2464,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2465,plain,
    equidistant(extension(X1,extension(X2,X1,X3,X4),X4,extension(X5,X4,X6,X6)),X1,X4,X3),
    inference(scs_inference,[],[i_0_203,i_0_687,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2466,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2467,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X1,X2),extension(X6,X7,X2,X2),X7)),
    inference(scs_inference,[],[i_0_203,i_0_687,i_0_769,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_2468,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2469,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X6),X3,X6,X5),
    inference(scs_inference,[],[i_0_203,i_0_687,i_0_769,i_0_2084,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2470,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2471,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X6),X3,extension(X7,X8,X5,X6),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_203,i_0_687,i_0_769,i_0_1255,i_0_2084,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2472,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,X4),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1255]) ).

cnf(i_0_2473,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2474,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2475,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,X4,X5),
    inference(scs_inference,[],[i_0_1287,i_0_2473,i_0_61,i_0_203,i_0_687,i_0_769,i_0_1255,i_0_2084,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2476,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_2477,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2478,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2479,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_1,extension(X4,X5,X6,X6),extension(X7,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1003,i_0_165,i_0_1287,i_0_2473,i_0_61,i_0_203,i_0_687,i_0_769,i_0_1255,i_0_2084,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2480,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2481,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X5,X5),X7)),
    inference(scs_inference,[],[i_0_1001,i_0_1003,i_0_165,i_0_1287,i_0_2473,i_0_61,i_0_203,i_0_687,i_0_769,i_0_1255,i_0_2084,i_0_952,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2482,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X7,X7),X9)),
    inference(rename_variables,[],[i_0_952]) ).

cnf(i_0_2483,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2484,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),extension(X5,X3,X4,X4)),extension(X6,lower_dimension_point_3,X7,X7),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1003,i_0_2480,i_0_165,i_0_1287,i_0_2473,i_0_61,i_0_203,i_0_687,i_0_769,i_0_1255,i_0_2084,i_0_952,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2485,plain,
    extension(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)) = X2,
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_2486,plain,
    equidistant(extension(X1,extension(X2,X2,X3,X3),X4,X4),X2,X5,extension(X6,X5,X2,X2)),
    inference(scs_inference,[],[i_0_1001,i_0_1003,i_0_2480,i_0_165,i_0_502,i_0_1287,i_0_2473,i_0_61,i_0_203,i_0_687,i_0_769,i_0_1255,i_0_227,i_0_575,i_0_941,i_0_2084,i_0_952,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2487,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,X2,X1)),
    inference(rename_variables,[],[i_0_941]) ).

cnf(i_0_2488,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2489,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2490,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2491,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_57]) ).

cnf(i_0_2492,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2493,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2494,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2495,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2496,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2497,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2498,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2500,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X2,X1),X5,X5),X3),
    inference(scs_inference,[],[i_0_1692,i_0_68]) ).

cnf(i_0_2501,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2502,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X1,X2),extension(X6,X7,X2,X2),X7),X5),
    inference(scs_inference,[],[i_0_1692,i_0_769,i_0_68,i_0_66]) ).

cnf(i_0_2503,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2504,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X7,X5,X5),X7),X3,X4,X5),
    inference(scs_inference,[],[i_0_1692,i_0_769,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2505,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2506,plain,
    equidistant(X1,X2,X3,extension(X3,extension(X4,X3,X2,X1),X5,X5)),
    inference(scs_inference,[],[i_0_1692,i_0_769,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2507,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2508,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),extension(X6,X7,X5,X5),X7),X3,X5,X4),
    inference(scs_inference,[],[i_0_1692,i_0_769,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2509,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2510,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,X6,X3,X4)),
    inference(scs_inference,[],[i_0_1692,i_0_769,i_0_1813,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_2511,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2512,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X6,X7,X7),extension(X5,X6,X7,X7)),X6,extension(X5,X6,X7,X7)),
    inference(scs_inference,[],[i_0_1692,i_0_769,i_0_1813,i_0_2443,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2513,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2514,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X4,X3)),
    inference(scs_inference,[],[i_0_1287,i_0_1692,i_0_769,i_0_1194,i_0_1813,i_0_2443,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2515,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X6,extension(X7,X6,X5,X3)),
    inference(rename_variables,[],[i_0_1194]) ).

cnf(i_0_2516,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2517,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2518,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,extension(X7,X8,X4,X5),extension(X9,X8,X5,X5)),
    inference(scs_inference,[],[i_0_1287,i_0_2516,i_0_1692,i_0_769,i_0_1255,i_0_1194,i_0_1813,i_0_2443,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2519,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,X4),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1255]) ).

cnf(i_0_2520,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2521,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2522,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_2516,i_0_1692,i_0_769,i_0_1255,i_0_1194,i_0_1813,i_0_2443,i_0_1461,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2523,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_1461]) ).

cnf(i_0_2524,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2525,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5))),
    inference(scs_inference,[],[i_0_1001,i_0_2524,i_0_1287,i_0_2516,i_0_1692,i_0_769,i_0_1255,i_0_1194,i_0_1813,i_0_2443,i_0_1461,i_0_1545,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2526,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X10,X10),extension(X11,X9,X7,X7))),
    inference(rename_variables,[],[i_0_1545]) ).

cnf(i_0_2527,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2528,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_2524,i_0_2527,i_0_1287,i_0_2516,i_0_1692,i_0_769,i_0_1255,i_0_1194,i_0_1813,i_0_2443,i_0_1461,i_0_2523,i_0_1545,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2529,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_1461]) ).

cnf(i_0_2530,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2531,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X2,X2,X4,X4),X2,extension(X5,extension(X2,X2,X4,X4),extension(X6,X7,X4,X4),extension(X6,X7,X4,X4))),
    inference(scs_inference,[],[i_0_1001,i_0_2524,i_0_2527,i_0_502,i_0_1287,i_0_2516,i_0_1692,i_0_769,i_0_1255,i_0_227,i_0_1194,i_0_1813,i_0_1841,i_0_2443,i_0_1391,i_0_1461,i_0_2523,i_0_1545,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2532,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2533,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2534,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,X4,X4))),
    inference(rename_variables,[],[i_0_1391]) ).

cnf(i_0_2535,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2536,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_57]) ).

cnf(i_0_2537,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2538,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2539,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2540,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2541,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2542,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2543,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2545,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X3,X2,X1),X1,extension(X5,X1,X6,X6)),X3),
    inference(scs_inference,[],[i_0_687,i_0_68]) ).

cnf(i_0_2546,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2547,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X6,extension(X7,X6,extension(X8,X9,X5,X3),X9)),
    inference(scs_inference,[],[i_0_687,i_0_1976,i_0_68,i_0_66]) ).

cnf(i_0_2548,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2549,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),X5,X5),
    inference(scs_inference,[],[i_0_687,i_0_1868,i_0_1976,i_0_68,i_0_66,i_0_63]) ).

cnf(i_0_2550,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2551,plain,
    equidistant(X1,X2,X3,extension(X3,extension(X4,X3,X2,X1),X1,extension(X5,X1,X6,X6))),
    inference(scs_inference,[],[i_0_687,i_0_1868,i_0_1976,i_0_68,i_0_66,i_0_63,i_0_67]) ).

cnf(i_0_2552,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2553,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X6,X6),extension(X7,X8,X3,X4),X8),
    inference(scs_inference,[],[i_0_687,i_0_1868,i_0_1976,i_0_1813,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64]) ).

cnf(i_0_2554,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2555,plain,
    equidistant(X1,X1,extension(X2,X3,extension(X4,X3,X5,X5),X3),X3),
    inference(scs_inference,[],[i_0_687,i_0_1868,i_0_1976,i_0_1813,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65]) ).

cnf(i_0_2556,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2557,plain,
    equidistant(extension(X1,extension(X2,X2,X3,X3),X4,X4),X2,extension(X5,X6,X2,X2),X6),
    inference(scs_inference,[],[i_0_687,i_0_1868,i_0_1976,i_0_1813,i_0_2486,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2558,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2559,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X4,X5,X5),X6,X6),X4),
    inference(scs_inference,[],[i_0_502,i_0_687,i_0_1845,i_0_1868,i_0_1976,i_0_1813,i_0_2486,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2560,plain,
    equidistant(X1,X2,extension(X3,X1,X4,X4),X2),
    inference(rename_variables,[],[i_0_1845]) ).

cnf(i_0_2561,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2562,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,X5,X4),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_687,i_0_106,i_0_1845,i_0_1868,i_0_1976,i_0_1813,i_0_2486,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2563,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,X3),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_2564,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2565,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2566,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),X5),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1287,i_0_687,i_0_106,i_0_1845,i_0_1868,i_0_1976,i_0_1813,i_0_2486,i_0_451,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2567,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,extension(X4,X5,X6,X6),X5),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_451]) ).

cnf(i_0_2568,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2569,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X5,X5),extension(X8,X7,X9,X9))),
    inference(scs_inference,[],[i_0_1001,i_0_2568,i_0_502,i_0_1287,i_0_687,i_0_106,i_0_1845,i_0_1868,i_0_1976,i_0_1813,i_0_2486,i_0_1594,i_0_451,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2570,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X7,X7),extension(X10,X9,X11,X11))),
    inference(rename_variables,[],[i_0_1594]) ).

cnf(i_0_2571,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2572,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X5,X5),extension(X8,X7,X9,X9))),
    inference(scs_inference,[],[i_0_1001,i_0_2568,i_0_2571,i_0_502,i_0_1287,i_0_687,i_0_106,i_0_1845,i_0_1868,i_0_1976,i_0_1813,i_0_2486,i_0_1594,i_0_2570,i_0_451,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2573,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X7,X7),extension(X10,X9,X11,X11))),
    inference(rename_variables,[],[i_0_1594]) ).

cnf(i_0_2574,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2575,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X5),X3,X6,extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_1001,i_0_2568,i_0_2571,i_0_502,i_0_1287,i_0_687,i_0_106,i_0_227,i_0_575,i_0_1845,i_0_1868,i_0_1976,i_0_1813,i_0_2048,i_0_2486,i_0_1594,i_0_2570,i_0_451,i_0_68,i_0_66,i_0_63,i_0_67,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2576,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2048]) ).

cnf(i_0_2577,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2578,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2579,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2580,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_57]) ).

cnf(i_0_2581,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2582,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2583,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2584,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2585,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2586,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2587,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2589,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X2,X1),extension(X6,X7,X1,X1),X7),X5),
    inference(scs_inference,[],[i_0_769,i_0_68]) ).

cnf(i_0_2590,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2591,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X2,X1),extension(X6,X7,X1,X1),X7)),
    inference(scs_inference,[],[i_0_769,i_0_68,i_0_67]) ).

cnf(i_0_2592,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2593,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X3,X4),extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_769,i_0_1813,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2594,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2595,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X6,X6),X7,extension(X8,X7,X3,X4)),
    inference(scs_inference,[],[i_0_769,i_0_1813,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2596,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2597,plain,
    equidistant(X1,extension(X2,X1,X1,extension(X3,X1,X4,X4)),extension(X5,X6,X4,X4),extension(X7,X6,X4,X4)),
    inference(scs_inference,[],[i_0_769,i_0_1813,i_0_2052,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2598,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2599,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,X7,extension(X8,X9,X5,X3),X9),X7),
    inference(scs_inference,[],[i_0_769,i_0_1976,i_0_1813,i_0_2052,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2600,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2601,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,extension(X5,X4,X3,X3)),
    inference(scs_inference,[],[i_0_769,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2602,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2603,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_502,i_0_769,i_0_1849,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2604,plain,
    equidistant(X1,X2,extension(X3,X2,X4,X4),X1),
    inference(rename_variables,[],[i_0_1849]) ).

cnf(i_0_2605,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2606,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),extension(X7,X8,X5,X6),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_769,i_0_1801,i_0_1849,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2607,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X3,X4),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1801]) ).

cnf(i_0_2608,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2609,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2610,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1287,i_0_769,i_0_1801,i_0_1849,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_1686,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2611,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2612,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2613,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_2612,i_0_502,i_0_1287,i_0_769,i_0_1801,i_0_1849,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_1686,i_0_2611,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2614,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_1686]) ).

cnf(i_0_2615,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2616,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_2612,i_0_2615,i_0_502,i_0_1287,i_0_769,i_0_1801,i_0_1849,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_1686,i_0_2611,i_0_1689,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2617,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,extension(X5,X4,X6,X6)),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_1689]) ).

cnf(i_0_2618,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2619,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X6,X7,X7),X6),X7,extension(X7,X7,X8,X8)),
    inference(scs_inference,[],[i_0_1001,i_0_2612,i_0_2615,i_0_502,i_0_1287,i_0_769,i_0_227,i_0_1801,i_0_1849,i_0_1976,i_0_1813,i_0_2052,i_0_2359,i_0_1771,i_0_1686,i_0_2611,i_0_1689,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2620,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X6,extension(X6,X5,X7,X7)),
    inference(rename_variables,[],[i_0_1771]) ).

cnf(i_0_2621,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_2622,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2623,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_57]) ).

cnf(i_0_2624,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2625,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2626,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2627,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2628,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2629,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2630,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2632,plain,
    equidistant(X1,X2,extension(X3,X4,X2,extension(X5,X1,X6,X6)),X4),
    inference(scs_inference,[],[i_0_1646,i_0_68]) ).

cnf(i_0_2633,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2634,plain,
    equidistant(X1,X2,X3,extension(X4,X3,X2,extension(X5,X1,X6,X6))),
    inference(scs_inference,[],[i_0_1646,i_0_68,i_0_67]) ).

cnf(i_0_2635,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2636,plain,
    equidistant(X1,X1,X2,extension(X3,X2,X2,extension(X4,X2,X5,X5))),
    inference(scs_inference,[],[i_0_1646,i_0_2088,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2637,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2638,plain,
    equidistant(X1,extension(X2,X1,X1,extension(X3,X1,X4,X4)),X5,X5),
    inference(scs_inference,[],[i_0_1646,i_0_2088,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2639,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2640,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),X5,X6),X6,X5),
    inference(scs_inference,[],[i_0_1646,i_0_2088,i_0_2084,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2641,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2642,plain,
    equidistant(X1,X1,extension(X2,X3,X3,extension(X4,X3,X5,X5)),X3),
    inference(scs_inference,[],[i_0_1646,i_0_2088,i_0_2084,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2643,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2644,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X6,X7,X7),X6),extension(X7,X7,X8,X8),X7),
    inference(scs_inference,[],[i_0_1646,i_0_2088,i_0_2084,i_0_2619,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2645,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2646,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X6),X3,extension(X7,X8,X6,X6),extension(X9,X8,X6,X5)),
    inference(scs_inference,[],[i_0_1287,i_0_1646,i_0_1141,i_0_2088,i_0_2084,i_0_2619,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2647,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1141]) ).

cnf(i_0_2648,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2649,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2650,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),extension(X7,X8,X6,X6),extension(X9,X8,X5,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_2648,i_0_1646,i_0_1805,i_0_1141,i_0_2088,i_0_2084,i_0_2619,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2651,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X4),extension(X7,X6,X3,X4)),
    inference(rename_variables,[],[i_0_1805]) ).

cnf(i_0_2652,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2653,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2654,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_2648,i_0_1646,i_0_1805,i_0_1141,i_0_2088,i_0_2084,i_0_2619,i_0_810,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2655,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_810]) ).

cnf(i_0_2656,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2657,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,extension(X4,X5,X6,X6),X5)),
    inference(scs_inference,[],[i_0_1001,i_0_2656,i_0_1287,i_0_2648,i_0_1646,i_0_1805,i_0_1141,i_0_2088,i_0_2084,i_0_2619,i_0_556,i_0_810,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2658,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,extension(X6,X7,X8,X8),X7)),
    inference(rename_variables,[],[i_0_556]) ).

cnf(i_0_2659,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2660,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,lower_dimension_point_1,X4,extension(X5,X4,X6,X6))),
    inference(scs_inference,[],[i_0_1001,i_0_2656,i_0_2659,i_0_1287,i_0_2648,i_0_1646,i_0_1805,i_0_1141,i_0_2088,i_0_2084,i_0_2619,i_0_556,i_0_1683,i_0_810,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2661,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,extension(X7,X6,X8,X8))),
    inference(rename_variables,[],[i_0_1683]) ).

cnf(i_0_2662,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2663,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X2,extension(X5,X2,X6,X6)),extension(X7,X8,X6,X6),extension(X7,X8,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_2656,i_0_2659,i_0_502,i_0_1287,i_0_2648,i_0_1646,i_0_1805,i_0_1141,i_0_120,i_0_2088,i_0_2084,i_0_2597,i_0_2619,i_0_556,i_0_1683,i_0_810,i_0_777,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2664,plain,
    equidistant(X1,extension(X2,X1,X1,extension(X3,X1,X4,X4)),extension(X5,X6,X4,X4),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_2597]) ).

cnf(i_0_2665,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_2666,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2667,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2668,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_57]) ).

cnf(i_0_2669,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2670,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2671,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2672,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2673,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2674,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2675,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2677,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X6,extension(X7,X6,extension(X8,X9,X4,X3),X9)),
    inference(scs_inference,[],[i_0_1976,i_0_68]) ).

cnf(i_0_2678,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2679,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,X7,extension(X8,X9,X4,X3),X9),X7),
    inference(scs_inference,[],[i_0_1976,i_0_68,i_0_67]) ).

cnf(i_0_2680,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2681,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X3),X5,extension(X6,X5,X5,extension(X7,X5,X3,X3))),
    inference(scs_inference,[],[i_0_1976,i_0_2052,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2682,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2683,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1976,i_0_2052,i_0_2048,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2684,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2685,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),X5),
    inference(scs_inference,[],[i_0_1976,i_0_2052,i_0_2048,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2686,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2687,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X3),extension(X5,X6,X6,extension(X7,X6,X3,X3)),X6),
    inference(scs_inference,[],[i_0_1976,i_0_2052,i_0_2048,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2688,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2689,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),extension(X6,X5,X7,X7),X6),
    inference(scs_inference,[],[i_0_1976,i_0_2052,i_0_2048,i_0_1817,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2690,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2691,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X3,X3),X7,X7),
    inference(scs_inference,[],[i_0_1161,i_0_1868,i_0_1976,i_0_2052,i_0_2048,i_0_1817,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2692,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),X2,X5,X5),
    inference(rename_variables,[],[i_0_1868]) ).

cnf(i_0_2693,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1161]) ).

cnf(i_0_2694,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2695,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X2,X4,X5,X5),X6,extension(X7,X6,extension(X8,X9,X2,X4),X9)),
    inference(scs_inference,[],[i_0_1287,i_0_1161,i_0_1063,i_0_1868,i_0_1976,i_0_2052,i_0_2048,i_0_1817,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2696,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,extension(X6,X7,X1,X2),X7)),
    inference(rename_variables,[],[i_0_1063]) ).

cnf(i_0_2697,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2698,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2699,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,extension(X3,lower_dimension_point_3,X4,X4),X4,extension(X5,X4,X6,X6)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_1161,i_0_1063,i_0_1868,i_0_1976,i_0_2052,i_0_2048,i_0_1817,i_0_812,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2700,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,extension(X3,lower_dimension_point_3,X4,X4),X4,extension(X5,X4,X6,X6)),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_812]) ).

cnf(i_0_2701,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2702,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(lower_dimension_point_1,extension(X3,lower_dimension_point_1,X4,X4),X4,extension(X5,X4,X6,X6))),
    inference(scs_inference,[],[i_0_1001,i_0_2701,i_0_1287,i_0_1161,i_0_1063,i_0_1868,i_0_1976,i_0_2052,i_0_2048,i_0_1817,i_0_812,i_0_808,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2703,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(lower_dimension_point_1,extension(X5,lower_dimension_point_1,X6,X6),X6,extension(X7,X6,X8,X8))),
    inference(rename_variables,[],[i_0_808]) ).

cnf(i_0_2704,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2705,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_3,extension(X1,lower_dimension_point_3,X2,X2),X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_2701,i_0_2704,i_0_1287,i_0_1161,i_0_1063,i_0_1868,i_0_1976,i_0_2052,i_0_2048,i_0_1817,i_0_812,i_0_2700,i_0_808,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2706,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(lower_dimension_point_3,extension(X3,lower_dimension_point_3,X4,X4),X4,extension(X5,X4,X6,X6)),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_812]) ).

cnf(i_0_2707,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2708,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X5,X6,X6),X5),X7,extension(X8,X7,X5,X5)),
    inference(scs_inference,[],[i_0_1001,i_0_2701,i_0_2704,i_0_502,i_0_1287,i_0_1161,i_0_227,i_0_1063,i_0_1868,i_0_1976,i_0_2052,i_0_2048,i_0_1809,i_0_1817,i_0_812,i_0_2700,i_0_808,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2709,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X6,extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1809]) ).

cnf(i_0_2710,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_2711,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2712,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_57]) ).

cnf(i_0_2713,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2714,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2715,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2716,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2717,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2718,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2719,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2721,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X3,X4),extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_1813,i_0_68]) ).

cnf(i_0_2722,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2723,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X7,X7),extension(X8,X6,X3,X4)),
    inference(scs_inference,[],[i_0_1813,i_0_68,i_0_67]) ).

cnf(i_0_2724,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2725,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X6,X6),X1,X2)),
    inference(scs_inference,[],[i_0_1813,i_0_2084,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2726,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2727,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),extension(X3,X4,X5,X5)),extension(X6,X2,X7,X7),X4,extension(X3,X4,X5,X5)),
    inference(scs_inference,[],[i_0_1813,i_0_2084,i_0_2512,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2728,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2729,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),extension(X3,X4,X5,X5)),extension(X6,X2,X7,X7),extension(X3,X4,X5,X5),X4),
    inference(scs_inference,[],[i_0_1813,i_0_2084,i_0_2512,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2730,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2731,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X5,X6,X6),X1,X2),X5),
    inference(scs_inference,[],[i_0_1813,i_0_2084,i_0_2512,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2732,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2733,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X5,X6,X6),X5),extension(X7,X8,X5,X5),X8),
    inference(scs_inference,[],[i_0_1813,i_0_2084,i_0_2512,i_0_2708,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2734,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2735,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_1358,i_0_1813,i_0_2084,i_0_2512,i_0_2708,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2736,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X3,X1),
    inference(rename_variables,[],[i_0_1358]) ).

cnf(i_0_2737,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2738,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2739,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),X5,X2),
    inference(scs_inference,[],[i_0_1287,i_0_2737,i_0_1847,i_0_1358,i_0_1813,i_0_2084,i_0_2512,i_0_2708,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2740,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,X4),
    inference(rename_variables,[],[i_0_1847]) ).

cnf(i_0_2741,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2742,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2743,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),lower_dimension_point_3,extension(X4,lower_dimension_point_3,X5,X5)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_2737,i_0_1847,i_0_1358,i_0_1813,i_0_2084,i_0_2512,i_0_2708,i_0_1368,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2744,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),lower_dimension_point_3,extension(X4,lower_dimension_point_3,X5,X5)),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(rename_variables,[],[i_0_1368]) ).

cnf(i_0_2745,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2746,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),lower_dimension_point_1,extension(X4,lower_dimension_point_1,X5,X5))),
    inference(scs_inference,[],[i_0_1001,i_0_2745,i_0_1287,i_0_2737,i_0_1847,i_0_1358,i_0_1813,i_0_2084,i_0_2512,i_0_2708,i_0_1368,i_0_1366,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2747,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),lower_dimension_point_1,extension(X6,lower_dimension_point_1,X7,X7))),
    inference(rename_variables,[],[i_0_1366]) ).

cnf(i_0_2748,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2749,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),lower_dimension_point_1,extension(X4,lower_dimension_point_1,X5,X5))),
    inference(scs_inference,[],[i_0_1001,i_0_2745,i_0_2748,i_0_1287,i_0_2737,i_0_1847,i_0_1358,i_0_1813,i_0_2084,i_0_2512,i_0_2708,i_0_1368,i_0_1366,i_0_2747,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2750,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),lower_dimension_point_1,extension(X6,lower_dimension_point_1,X7,X7))),
    inference(rename_variables,[],[i_0_1366]) ).

cnf(i_0_2751,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2752,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,extension(X2,X2,X6,X6),X2),X5,X2),
    inference(scs_inference,[],[i_0_1001,i_0_2745,i_0_2748,i_0_1287,i_0_2737,i_0_2741,i_0_1847,i_0_1358,i_0_550,i_0_1813,i_0_120,i_0_2084,i_0_2512,i_0_2708,i_0_1368,i_0_1366,i_0_2747,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2753,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X5),X3),X3,X4),
    inference(rename_variables,[],[i_0_550]) ).

cnf(i_0_2754,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_2755,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2756,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_57]) ).

cnf(i_0_2757,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2758,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2759,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2760,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2761,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2762,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2763,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2764,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_2766,plain,
    equidistant(X1,X2,X3,extension(X4,extension(X5,X3,X6,X6),X2,X1)),
    inference(scs_inference,[],[i_0_2084,i_0_68]) ).

cnf(i_0_2767,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2768,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)),extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_2084,i_0_2727,i_0_68,i_0_67]) ).

cnf(i_0_2769,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2770,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,extension(X2,X1,X3,X3),extension(X2,X1,X3,X3))),
    inference(scs_inference,[],[i_0_2084,i_0_2727,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2771,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2772,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X1,X2,X3,X3),X2),extension(X5,X6,X7,X7),extension(X8,X6,X7,X7)),
    inference(scs_inference,[],[i_0_2084,i_0_2727,i_0_2244,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2773,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2774,plain,
    equidistant(extension(X1,X2,X2,extension(X3,X2,X4,X4)),extension(X5,X2,X6,X6),extension(X7,X8,X4,X4),extension(X7,X8,X4,X4)),
    inference(scs_inference,[],[i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2775,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2776,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,extension(X2,X1,X3,X3),extension(X2,X1,X3,X3)),extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2777,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2778,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),X2,extension(X5,X6,X7,X7),X6),
    inference(scs_inference,[],[i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2779,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2780,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),extension(X7,X2,X3,X3),extension(X8,X9,X6,X6),extension(X10,X9,X6,X5)),
    inference(scs_inference,[],[i_0_1161,i_0_1976,i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2781,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X6),X4),X2,extension(X7,X8,X6,X6),extension(X9,X8,X6,X5)),
    inference(rename_variables,[],[i_0_1976]) ).

cnf(i_0_2782,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1161]) ).

cnf(i_0_2783,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2784,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X2,X4,X5,X5),X6,extension(X7,X6,X4,X2)),
    inference(scs_inference,[],[i_0_1287,i_0_1161,i_0_941,i_0_1976,i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2785,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,X2,X1)),
    inference(rename_variables,[],[i_0_941]) ).

cnf(i_0_2786,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2787,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2788,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),lower_dimension_point_2,extension(X2,lower_dimension_point_2,X3,X3)),extension(X4,lower_dimension_point_3,X5,X5),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_1161,i_0_941,i_0_1976,i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_1370,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2789,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),lower_dimension_point_2,extension(X2,lower_dimension_point_2,X3,X3)),extension(X4,lower_dimension_point_3,X5,X5),extension(X6,lower_dimension_point_1,X7,X7)),
    inference(rename_variables,[],[i_0_1370]) ).

cnf(i_0_2790,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2791,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(lower_dimension_point_1,extension(X3,lower_dimension_point_1,X4,X4),lower_dimension_point_1,lower_dimension_point_1)),
    inference(scs_inference,[],[i_0_1001,i_0_2790,i_0_1287,i_0_1161,i_0_941,i_0_1976,i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_1370,i_0_483,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2792,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(lower_dimension_point_1,extension(X5,lower_dimension_point_1,X6,X6),lower_dimension_point_1,lower_dimension_point_1)),
    inference(rename_variables,[],[i_0_483]) ).

cnf(i_0_2793,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2794,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3))),
    inference(scs_inference,[],[i_0_1001,i_0_2790,i_0_2793,i_0_1287,i_0_1161,i_0_941,i_0_1976,i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_1370,i_0_483,i_0_2525,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2795,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5))),
    inference(rename_variables,[],[i_0_2525]) ).

cnf(i_0_2796,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2797,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,extension(X6,X5,X7,X7)),extension(X7,X7,X8,X8),X7),
    inference(scs_inference,[],[i_0_1001,i_0_2790,i_0_2793,i_0_502,i_0_1287,i_0_1161,i_0_575,i_0_941,i_0_1976,i_0_2084,i_0_2727,i_0_2244,i_0_2663,i_0_2098,i_0_2689,i_0_1370,i_0_483,i_0_2525,i_0_777,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2798,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),extension(X6,X5,X7,X7),X6),
    inference(rename_variables,[],[i_0_2689]) ).

cnf(i_0_2799,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_2800,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2801,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2802,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_57]) ).

cnf(i_0_2803,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2804,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2805,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2806,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2807,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2808,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2809,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2811,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X3),extension(X5,X6,extension(X7,X6,X8,X8),X6),extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_2772,i_0_68]) ).

cnf(i_0_2812,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2813,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X3),extension(X5,X6,X7,X7),extension(X8,X6,extension(X5,X6,X7,X7),X6)),
    inference(scs_inference,[],[i_0_2772,i_0_68,i_0_67]) ).

cnf(i_0_2814,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2815,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(X7,X5,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3))),
    inference(scs_inference,[],[i_0_2729,i_0_2772,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2816,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2817,plain,
    equidistant(X1,extension(X2,extension(X1,X1,X3,X3),X4,X4),extension(X5,X6,X1,X1),X6),
    inference(scs_inference,[],[i_0_2729,i_0_2772,i_0_2557,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2818,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2819,plain,
    equidistant(X1,extension(X2,extension(X1,X1,X3,X3),X4,X4),X5,extension(X6,X5,X1,X1)),
    inference(scs_inference,[],[i_0_2729,i_0_2772,i_0_2557,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2820,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2821,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(X4,X5,X5,extension(X6,X5,X3,X3)),extension(X7,X5,X8,X8)),
    inference(scs_inference,[],[i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2822,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2823,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,extension(X6,X5,X7,X7)),X7,extension(X7,X7,X8,X8)),
    inference(scs_inference,[],[i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2824,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2825,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X3,X4)),
    inference(scs_inference,[],[i_0_1287,i_0_1813,i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2826,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X7,extension(X8,X7,X5,X6)),
    inference(rename_variables,[],[i_0_1813]) ).

cnf(i_0_2827,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2828,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2829,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),extension(X7,X8,X6,X6),extension(X9,X8,X6,X5)),
    inference(scs_inference,[],[i_0_1287,i_0_2827,i_0_1165,i_0_1813,i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2830,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1165]) ).

cnf(i_0_2831,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2832,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2833,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_2827,i_0_1165,i_0_1813,i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_1907,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2834,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),lower_dimension_point_3,extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_1907]) ).

cnf(i_0_2835,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2836,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),lower_dimension_point_3,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_2835,i_0_1287,i_0_2827,i_0_1165,i_0_1813,i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_1907,i_0_2307,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2837,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_3,X9,X9),lower_dimension_point_1),
    inference(rename_variables,[],[i_0_2307]) ).

cnf(i_0_2838,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2839,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),X4,X4),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_2835,i_0_2838,i_0_1287,i_0_2827,i_0_1165,i_0_1813,i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_1907,i_0_2307,i_0_2522,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2840,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),X6,X6),lower_dimension_point_1),
    inference(rename_variables,[],[i_0_2522]) ).

cnf(i_0_2841,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2842,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X2,X2),X7),
    inference(scs_inference,[],[i_0_1001,i_0_2835,i_0_2838,i_0_502,i_0_1287,i_0_2827,i_0_227,i_0_575,i_0_1165,i_0_1813,i_0_2729,i_0_2772,i_0_2774,i_0_2557,i_0_2797,i_0_1538,i_0_1907,i_0_2307,i_0_2522,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2843,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X3,X1),X6),
    inference(rename_variables,[],[i_0_1538]) ).

cnf(i_0_2844,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2845,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2846,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2847,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_57]) ).

cnf(i_0_2848,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2849,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2850,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2851,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2852,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2853,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2854,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2856,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,extension(X3,X3,X5,X5),X6,X6),X3),
    inference(scs_inference,[],[i_0_2817,i_0_68]) ).

cnf(i_0_2857,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2858,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X3,extension(X4,extension(X3,X3,X5,X5),X6,X6)),
    inference(scs_inference,[],[i_0_2817,i_0_68,i_0_67]) ).

cnf(i_0_2859,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2860,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,extension(X3,X3,X5,X5),X6,X6),X3),
    inference(scs_inference,[],[i_0_2817,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2861,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2862,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X4),extension(X6,X2,X7,X7),extension(X5,X5,X8,X8),X5),
    inference(scs_inference,[],[i_0_2817,i_0_2644,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2863,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2864,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X5,extension(X8,X5,X3,X3))),
    inference(scs_inference,[],[i_0_2821,i_0_2817,i_0_2644,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2865,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2866,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X3,extension(X4,extension(X3,X3,X5,X5),X6,X6)),
    inference(scs_inference,[],[i_0_2821,i_0_2817,i_0_2644,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2867,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2868,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X6)),extension(X7,X2,X3,X3),extension(X8,X9,X6,X5),extension(X10,X9,X6,X6)),
    inference(scs_inference,[],[i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2869,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2870,plain,
    equidistant(extension(X1,X2,X3,extension(X3,X4,X5,X5)),extension(X6,X2,X3,X3),X4,X3),
    inference(scs_inference,[],[i_0_1161,i_0_1996,i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2871,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X3),X2,X4,X3),
    inference(rename_variables,[],[i_0_1996]) ).

cnf(i_0_2872,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),extension(X7,X6,X4,X4)),
    inference(rename_variables,[],[i_0_1161]) ).

cnf(i_0_2873,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2874,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,extension(X7,X8,X5,X5),extension(X9,X8,X5,X4)),
    inference(scs_inference,[],[i_0_1287,i_0_1161,i_0_1141,i_0_1996,i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2875,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X4),extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1141]) ).

cnf(i_0_2876,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2877,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2878,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_1161,i_0_1141,i_0_1996,i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_1910,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2879,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3)),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_1910]) ).

cnf(i_0_2880,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2881,plain,
    ~ between(lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X4,X4),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_1001,i_0_1388,i_0_1287,i_0_1161,i_0_1141,i_0_1996,i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_1910,i_0_604,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2882,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_2883,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X5,X5),X7)),
    inference(scs_inference,[],[i_0_1001,i_0_2880,i_0_1388,i_0_1287,i_0_1161,i_0_1141,i_0_1996,i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_1910,i_0_604,i_0_952,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2884,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X7,X7),X9)),
    inference(rename_variables,[],[i_0_952]) ).

cnf(i_0_2885,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2886,plain,
    equidistant(X1,extension(X2,extension(X1,X1,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3)),X1,X1),
    inference(scs_inference,[],[i_0_1001,i_0_2880,i_0_1388,i_0_1287,i_0_1161,i_0_575,i_0_1837,i_0_1141,i_0_1996,i_0_2821,i_0_2817,i_0_2644,i_0_2780,i_0_1562,i_0_1910,i_0_604,i_0_952,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2887,plain,
    equidistant(X1,extension(X2,extension(X1,X1,X3,X3),X4,X4),extension(X5,X6,X1,X1),X6),
    inference(rename_variables,[],[i_0_2817]) ).

cnf(i_0_2888,plain,
    between(X1,X2,extension(X3,extension(X1,X2,X4,X4),extension(X5,X6,X4,X4),extension(X7,X6,X8,X8))),
    inference(rename_variables,[],[i_0_1562]) ).

cnf(i_0_2889,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2890,plain,
    equidistant(X1,X2,X2,extension(X3,X1,X4,X4)),
    inference(rename_variables,[],[i_0_1837]) ).

cnf(i_0_2891,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_57]) ).

cnf(i_0_2892,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2893,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2894,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2895,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2896,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2897,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2898,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2900,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X1),extension(X5,X4,X1,extension(X1,X2,X6,X6))),
    inference(scs_inference,[],[i_0_2870,i_0_68]) ).

cnf(i_0_2901,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2902,plain,
    equidistant(X1,X2,extension(X3,X4,X1,extension(X1,X2,X5,X5)),extension(X6,X4,X1,X1)),
    inference(scs_inference,[],[i_0_2870,i_0_68,i_0_67]) ).

cnf(i_0_2903,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2904,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X2),extension(X5,X4,X2,extension(X2,X1,X6,X6))),
    inference(scs_inference,[],[i_0_2870,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2905,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2906,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X3,X5,X6,X6)),X5,X3),
    inference(scs_inference,[],[i_0_2870,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2907,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2908,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X3,X5,X6,X6)),X3,X5),
    inference(scs_inference,[],[i_0_2870,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2909,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2910,plain,
    equidistant(X1,X2,extension(X3,X4,X2,extension(X2,X1,X5,X5)),extension(X6,X4,X2,X2)),
    inference(scs_inference,[],[i_0_2870,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2911,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2912,plain,
    equidistant(extension(X1,X2,X3,extension(X3,X4,X5,X5)),extension(X6,X2,X3,X3),X3,X4),
    inference(scs_inference,[],[i_0_2870,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2913,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2914,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),X6,extension(X6,X6,X7,X7))),
    inference(scs_inference,[],[i_0_502,i_0_978,i_0_2870,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2915,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,extension(X7,X5,X4,X2),X3,extension(X3,X3,X8,X8))),
    inference(rename_variables,[],[i_0_978]) ).

cnf(i_0_2916,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2917,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),X6,extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_2048,i_0_978,i_0_2870,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2918,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2048]) ).

cnf(i_0_2919,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2920,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2921,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1287,i_0_2048,i_0_978,i_0_2870,i_0_2312,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2922,plain,
    ~ between(lower_dimension_point_2,extension(X1,extension(X2,lower_dimension_point_3,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_2312]) ).

cnf(i_0_2923,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2924,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),lower_dimension_point_3,extension(X8,lower_dimension_point_1,X9,X9)),
    inference(scs_inference,[],[i_0_1001,i_0_2923,i_0_502,i_0_1287,i_0_2048,i_0_978,i_0_2870,i_0_2312,i_0_1597,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2925,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7)),extension(X8,lower_dimension_point_3,X9,X9),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1597]) ).

cnf(i_0_2926,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2927,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(X3,extension(X4,lower_dimension_point_1,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5))),
    inference(scs_inference,[],[i_0_1001,i_0_2923,i_0_2926,i_0_502,i_0_1287,i_0_2048,i_0_978,i_0_2870,i_0_2312,i_0_1597,i_0_1545,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2928,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,extension(X6,lower_dimension_point_1,X7,X7),extension(X8,X9,X10,X10),extension(X11,X9,X7,X7))),
    inference(rename_variables,[],[i_0_1545]) ).

cnf(i_0_2929,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2930,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X8,X8),X7),
    inference(scs_inference,[],[i_0_1001,i_0_2923,i_0_2926,i_0_502,i_0_1287,i_0_227,i_0_575,i_0_2048,i_0_978,i_0_2870,i_0_2685,i_0_2312,i_0_1597,i_0_1545,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2931,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),X5),
    inference(rename_variables,[],[i_0_2685]) ).

cnf(i_0_2932,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_2933,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_2934,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2935,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_57]) ).

cnf(i_0_2936,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2937,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2938,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_2939,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2940,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_2941,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2942,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2944,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,extension(X3,X3,X6,X6),X3),extension(X7,X5,X8,X8)),
    inference(scs_inference,[],[i_0_2733,i_0_68]) ).

cnf(i_0_2945,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2946,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,extension(X3,X3,X8,X8),X3)),
    inference(scs_inference,[],[i_0_2733,i_0_68,i_0_67]) ).

cnf(i_0_2947,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2948,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,extension(X3,X3,X6,X6),X3),extension(X7,X5,X8,X8)),
    inference(scs_inference,[],[i_0_2733,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2949,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2950,plain,
    equidistant(extension(X1,X2,extension(X3,X3,X4,X4),X3),extension(X5,X2,X6,X6),extension(X7,X8,X3,X3),X8),
    inference(scs_inference,[],[i_0_2733,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2951,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2952,plain,
    equidistant(extension(X1,X2,extension(X3,X3,X4,X4),X3),extension(X5,X2,X6,X6),X7,extension(X8,X7,X3,X3)),
    inference(scs_inference,[],[i_0_2733,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2953,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_2954,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(X7,X5,extension(X3,X3,X8,X8),X3)),
    inference(scs_inference,[],[i_0_2733,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_2955,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_2956,plain,
    equidistant(extension(X1,X2,extension(X3,X4,X5,X5),X4),extension(X6,X2,X7,X7),X5,extension(X5,X5,X8,X8)),
    inference(scs_inference,[],[i_0_2733,i_0_2862,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_2957,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_2958,plain,
    equidistant(X1,X2,X1,extension(X3,extension(X4,X2,X5,X5),X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_1837,i_0_2733,i_0_2862,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_2959,plain,
    equidistant(X1,X2,X2,extension(X3,X1,X4,X4)),
    inference(rename_variables,[],[i_0_1837]) ).

cnf(i_0_2960,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_2961,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),extension(X7,X3,X8,X8),X4,X5),
    inference(scs_inference,[],[i_0_1287,i_0_1494,i_0_1837,i_0_2733,i_0_2862,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_2962,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2963,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_2964,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),X6,X6)),
    inference(scs_inference,[],[i_0_1388,i_0_1287,i_0_1494,i_0_1837,i_0_2733,i_0_2862,i_0_2791,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_2965,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_2966,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_1388,i_0_1287,i_0_1494,i_0_1837,i_0_2733,i_0_2862,i_0_2791,i_0_449,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_2967,plain,
    ~ between(extension(X1,lower_dimension_point_2,extension(X2,X3,X4,X4),X3),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_449]) ).

cnf(i_0_2968,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2969,plain,
    ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_1,extension(X3,lower_dimension_point_1,X4,X4),X4,extension(X5,X4,X6,X6))),
    inference(scs_inference,[],[i_0_1001,i_0_2968,i_0_1388,i_0_1287,i_0_1494,i_0_1837,i_0_2733,i_0_2862,i_0_2791,i_0_449,i_0_808,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_2970,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(lower_dimension_point_1,extension(X5,lower_dimension_point_1,X6,X6),X6,extension(X7,X6,X8,X8))),
    inference(rename_variables,[],[i_0_808]) ).

cnf(i_0_2971,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_2972,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,extension(X6,X7,X2,X2),X7),X5,X2),
    inference(scs_inference,[],[i_0_1001,i_0_2968,i_0_1388,i_0_1287,i_0_2962,i_0_1494,i_0_355,i_0_1837,i_0_120,i_0_2733,i_0_2862,i_0_2791,i_0_449,i_0_808,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_2973,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X4,X5,X6),X4),X6,X5),
    inference(rename_variables,[],[i_0_355]) ).

cnf(i_0_2974,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_2975,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2976,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_57]) ).

cnf(i_0_2977,plain,
    extension(X1,extension(X2,X3,X4,X4),X5,X5) = extension(X6,X3,X7,X7),
    inference(scs_inference,[],[i_0_1001,i_0_2968,i_0_1388,i_0_1287,i_0_2962,i_0_1494,i_0_355,i_0_1837,i_0_120,i_0_2733,i_0_2862,i_0_2791,i_0_449,i_0_808,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73]) ).

cnf(i_0_2978,plain,
    ( ~ equidistant(X1,X2,X3,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_2979,plain,
    extension(X1,X2,X3,X3) = extension(X4,extension(X5,X2,X6,X6),X7,X7),
    inference(scs_inference,[],[i_0_1001,i_0_2968,i_0_1388,i_0_1287,i_0_2962,i_0_1494,i_0_355,i_0_1837,i_0_120,i_0_2733,i_0_2862,i_0_2791,i_0_449,i_0_808,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57,i_0_73,i_0_90]) ).

cnf(i_0_2980,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_2981,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2982,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_2983,plain,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | ~ equidistant(X3,X4,X3,X5)
    | ~ equidistant(X1,X4,X1,X5)
    | ~ equidistant(X2,X4,X2,X5)
    | between(X3,X1,X2)
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_2984,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2985,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_2986,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_2987,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_2988,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X5,X6,X6)),X3,X5),
    inference(rename_variables,[],[i_0_1646]) ).

cnf(i_0_2990,plain,
    equidistant(extension(X1,X1,X2,X2),X1,extension(X3,X4,X5,extension(X6,X5,X1,X1)),extension(X7,X4,X8,X8)),
    inference(scs_inference,[],[i_0_2823,i_0_68]) ).

cnf(i_0_2991,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_2992,plain,
    equidistant(extension(X1,X1,X2,X2),X1,extension(X3,X4,X5,X5),extension(X6,X4,X7,extension(X8,X7,X1,X1))),
    inference(scs_inference,[],[i_0_2823,i_0_68,i_0_67]) ).

cnf(i_0_2993,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_2994,plain,
    equidistant(X1,extension(X1,X1,X2,X2),extension(X3,X4,X5,extension(X6,X5,X1,X1)),extension(X7,X4,X8,X8)),
    inference(scs_inference,[],[i_0_2823,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_2995,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_2996,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X7,X7),X5,extension(X5,X5,X8,X8)),
    inference(scs_inference,[],[i_0_2823,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_2997,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_2998,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),extension(X6,X2,X7,X7),extension(X5,X5,X8,X8),X5),
    inference(scs_inference,[],[i_0_2823,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_2999,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3000,plain,
    equidistant(X1,extension(X1,X1,X2,X2),extension(X3,X4,X5,X5),extension(X6,X4,X7,extension(X8,X7,X1,X1))),
    inference(scs_inference,[],[i_0_2823,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3001,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3002,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X2,X4,X5,X5),extension(X6,X7,X4,X2),X7),
    inference(scs_inference,[],[i_0_2823,i_0_2784,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3003,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3004,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),extension(X6,X5,X7,X7),X5)),
    inference(scs_inference,[],[i_0_502,i_0_472,i_0_2823,i_0_2784,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3005,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,extension(X7,X5,X4,X2),extension(X1,X2,X3,X3),X2)),
    inference(rename_variables,[],[i_0_472]) ).

cnf(i_0_3006,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3007,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,extension(X6,X4,X7,X7),X4,extension(X6,X4,X7,X7))),
    inference(scs_inference,[],[i_0_502,i_0_1243,i_0_472,i_0_2823,i_0_2784,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3008,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,extension(X5,X4,X2,extension(X1,X2,X3,X3))),
    inference(rename_variables,[],[i_0_1243]) ).

cnf(i_0_3009,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3010,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3011,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X5,X5,X6,X6),X5),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1243,i_0_472,i_0_2823,i_0_2784,i_0_886,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3012,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X5,X5,X6,X6),X5),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_886]) ).

cnf(i_0_3013,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3014,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,lower_dimension_point_1,X4,extension(X5,X4,X6,X6))),
    inference(scs_inference,[],[i_0_1001,i_0_3013,i_0_502,i_0_1243,i_0_472,i_0_2823,i_0_2784,i_0_886,i_0_1683,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_3015,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,extension(X7,X6,X8,X8))),
    inference(rename_variables,[],[i_0_1683]) ).

cnf(i_0_3016,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3017,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,extension(X2,lower_dimension_point_1,X3,X3),X4,X4)),
    inference(scs_inference,[],[i_0_1001,i_0_3013,i_0_3016,i_0_502,i_0_1243,i_0_472,i_0_2823,i_0_2784,i_0_2964,i_0_886,i_0_1683,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100]) ).

cnf(i_0_3018,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,extension(X3,extension(X4,lower_dimension_point_1,X5,X5),X6,X6)),
    inference(rename_variables,[],[i_0_2964]) ).

cnf(i_0_3019,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3020,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),X2,extension(X6,X2,X2,extension(X4,X2,X5,X5))),
    inference(scs_inference,[],[i_0_1001,i_0_3013,i_0_3016,i_0_502,i_0_3009,i_0_227,i_0_1243,i_0_472,i_0_2823,i_0_2784,i_0_1247,i_0_2964,i_0_886,i_0_1683,i_0_777,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_100,i_0_57]) ).

cnf(i_0_3021,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X3,extension(X5,X1,X3,extension(X2,X3,X4,X4))),
    inference(rename_variables,[],[i_0_1247]) ).

cnf(i_0_3022,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3023,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_3024,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3025,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_57]) ).

cnf(i_0_3026,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3027,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3028,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3029,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3030,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3031,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3032,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3034,plain,
    equidistant(extension(X1,X1,X2,X2),X1,extension(X3,X4,X5,X5),extension(X6,X4,extension(X7,X8,X1,X1),X8)),
    inference(scs_inference,[],[i_0_2956,i_0_68]) ).

cnf(i_0_3035,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3036,plain,
    equidistant(extension(X1,X1,X2,X2),X1,extension(X3,X4,extension(X5,X6,X1,X1),X6),extension(X7,X4,X8,X8)),
    inference(scs_inference,[],[i_0_2956,i_0_68,i_0_67]) ).

cnf(i_0_3037,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3038,plain,
    equidistant(X1,extension(X1,X1,X2,X2),extension(X3,X4,X5,X5),extension(X6,X4,extension(X7,X8,X1,X1),X8)),
    inference(scs_inference,[],[i_0_2956,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3039,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3040,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X5,X3,X6,X7)),extension(X8,X9,X7,X6),extension(X10,X9,X7,X7)),
    inference(scs_inference,[],[i_0_2956,i_0_2868,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_3041,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3042,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X5,X3,X6,X7)),extension(X8,X9,X7,X7),extension(X10,X9,X7,X6)),
    inference(scs_inference,[],[i_0_2956,i_0_2868,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_3043,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3044,plain,
    equidistant(X1,extension(X1,X1,X2,X2),extension(X3,X4,extension(X5,X6,X1,X1),X6),extension(X7,X4,X8,X8)),
    inference(scs_inference,[],[i_0_2956,i_0_2868,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3045,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3046,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),X3,extension(X7,X8,X5,X5),extension(X9,X8,X4,X5)),
    inference(scs_inference,[],[i_0_2956,i_0_2868,i_0_2518,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3047,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3048,plain,
    equidistant(X1,X2,extension(X3,extension(X4,X2,X5,X5),X6,X6),X1),
    inference(scs_inference,[],[i_0_1287,i_0_1845,i_0_2956,i_0_2868,i_0_2518,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3049,plain,
    equidistant(X1,X2,extension(X3,X1,X4,X4),X2),
    inference(rename_variables,[],[i_0_1845]) ).

cnf(i_0_3050,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3051,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X5),extension(X6,X3,X7,X8),X8,X7),
    inference(scs_inference,[],[i_0_1287,i_0_1843,i_0_1845,i_0_2956,i_0_2868,i_0_2518,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3052,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3053,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3054,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),X5),extension(X6,lower_dimension_point_3,X7,X7),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_1843,i_0_1845,i_0_2956,i_0_2868,i_0_2518,i_0_956,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3055,plain,
    ~ between(extension(X1,extension(X2,lower_dimension_point_2,X3,X3),extension(X4,X5,X3,X3),X5),extension(X6,lower_dimension_point_3,X7,X7),extension(X8,lower_dimension_point_1,X9,X9)),
    inference(rename_variables,[],[i_0_956]) ).

cnf(i_0_3056,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3057,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),X2,extension(X3,X2,X4,X4)),lower_dimension_point_3,extension(X5,lower_dimension_point_1,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_3056,i_0_1287,i_0_1843,i_0_1845,i_0_2956,i_0_2868,i_0_2518,i_0_956,i_0_810,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101]) ).

cnf(i_0_3058,plain,
    ~ between(extension(lower_dimension_point_2,extension(X1,lower_dimension_point_2,X2,X2),X2,extension(X3,X2,X4,X4)),extension(X5,lower_dimension_point_3,X6,X6),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_810]) ).

cnf(i_0_3059,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3060,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),extension(X4,X5,X6,X6),extension(X7,X2,X6,X6)),
    inference(scs_inference,[],[i_0_1001,i_0_3056,i_0_1287,i_0_3052,i_0_1843,i_0_227,i_0_1194,i_0_1845,i_0_120,i_0_2956,i_0_2868,i_0_2518,i_0_956,i_0_810,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_101,i_0_57]) ).

cnf(i_0_3061,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X6,extension(X7,X6,X5,X3)),
    inference(rename_variables,[],[i_0_1194]) ).

cnf(i_0_3062,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3063,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3064,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3065,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_57]) ).

cnf(i_0_3066,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3067,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3068,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_3069,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3070,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3071,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3072,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3073,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_3075,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X4,X5,X3,X3),extension(X6,X2,X7,X7)),
    inference(scs_inference,[],[i_0_3060,i_0_68]) ).

cnf(i_0_3076,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3077,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X2,X7,X7),extension(X4,X5,X3,X3)),
    inference(scs_inference,[],[i_0_3060,i_0_68,i_0_67]) ).

cnf(i_0_3078,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3079,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X1,X2,X3,X3),extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_3060,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3080,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3081,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),extension(X1,X2,X3,X3),extension(X7,X5,X3,X3)),
    inference(scs_inference,[],[i_0_3060,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_3082,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3083,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X3,X3),extension(X1,X2,X3,X3)),
    inference(scs_inference,[],[i_0_3060,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_3084,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3085,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X3,X3),extension(X6,X5,X7,X7),extension(X1,X2,X3,X3)),
    inference(scs_inference,[],[i_0_3060,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3086,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3087,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X2,X6,X6),extension(X4,X5,X6,X6)),
    inference(scs_inference,[],[i_0_3060,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3088,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3089,plain,
    equidistant(X1,X1,X2,extension(X3,extension(X4,X2,X5,X5),extension(X6,X6,X7,X7),X6)),
    inference(scs_inference,[],[i_0_502,i_0_1020,i_0_3060,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3090,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,extension(X6,X4,X1,X2),extension(X3,X3,X7,X7),X3)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_3091,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3092,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3093,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X2,X2,X4,X4),X5,extension(X6,extension(X7,X5,X2,X2),extension(X8,X9,X2,X2),X9)),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_1131,i_0_1020,i_0_3060,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3094,plain,
    equidistant(extension(X1,X1,X2,X2),X1,X3,extension(X4,extension(X5,X3,X1,X1),extension(X6,X7,X1,X1),X7)),
    inference(rename_variables,[],[i_0_1131]) ).

cnf(i_0_3095,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3096,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3097,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1287,i_0_1131,i_0_1020,i_0_3060,i_0_1551,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3098,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X5,X5)),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1551]) ).

cnf(i_0_3099,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3100,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X5,X5),extension(extension(X6,X7,X5,X5),X7,X8,X8)),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_3091,i_0_1287,i_0_227,i_0_1131,i_0_1020,i_0_3060,i_0_2324,i_0_670,i_0_1551,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_57]) ).

cnf(i_0_3101,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X4,X3),extension(extension(X5,X6,X4,X3),X6,X7,X7)),
    inference(rename_variables,[],[i_0_670]) ).

cnf(i_0_3102,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3103,plain,
    between(X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_2324]) ).

cnf(i_0_3104,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3105,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_57]) ).

cnf(i_0_3106,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3107,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3108,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3109,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3110,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3111,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3112,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3114,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,X7,X8,extension(X9,X8,X5,X3)),extension(X10,X7,X8,X8)),
    inference(scs_inference,[],[i_0_3040,i_0_68]) ).

cnf(i_0_3115,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3116,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,X7,X8,X8),extension(X9,X7,X8,extension(X10,X8,X5,X3))),
    inference(scs_inference,[],[i_0_3040,i_0_68,i_0_67]) ).

cnf(i_0_3117,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3118,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,X7,X8,extension(X9,X8,X4,X3)),extension(X10,X7,X8,X8)),
    inference(scs_inference,[],[i_0_3040,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3119,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3120,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X5,X2,X6,X7),X3,X3),X7,X6),
    inference(scs_inference,[],[i_0_3040,i_0_2240,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_3121,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3122,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X5,X2,X6,X7),X3,X3),X6,X7),
    inference(scs_inference,[],[i_0_3040,i_0_2240,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_3123,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3124,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,X7,X8,X8),extension(X9,X7,X8,extension(X10,X8,X4,X3))),
    inference(scs_inference,[],[i_0_3040,i_0_2240,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3125,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3126,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,X5,X2,X4)),
    inference(scs_inference,[],[i_0_3040,i_0_2240,i_0_1972,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3127,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3128,plain,
    equidistant(X1,X1,extension(X2,X3,X4,extension(X5,X4,X6,X6)),extension(X7,X3,X4,X4)),
    inference(scs_inference,[],[i_0_502,i_0_822,i_0_3040,i_0_2240,i_0_1972,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3129,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X6,X2,extension(X1,X2,X3,X3)),extension(X7,X6,X4,X2)),
    inference(rename_variables,[],[i_0_822]) ).

cnf(i_0_3130,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3131,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),X6,extension(X7,extension(X8,X6,X2,X2),extension(X9,X5,X2,X2),X5)),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_1761,i_0_822,i_0_3040,i_0_2240,i_0_1972,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3132,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,extension(X6,X4,X2,X2),extension(X7,X3,X2,X2),X3)),
    inference(rename_variables,[],[i_0_1761]) ).

cnf(i_0_3133,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3134,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3135,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),extension(X8,X7,X9,X9)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1287,i_0_1761,i_0_822,i_0_3040,i_0_2240,i_0_1972,i_0_1600,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3136,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,extension(X4,lower_dimension_point_3,X5,X5),extension(X6,X7,X5,X5),extension(X8,X7,X9,X9)),extension(X10,lower_dimension_point_1,X11,X11)),
    inference(rename_variables,[],[i_0_1600]) ).

cnf(i_0_3137,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3138,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),X5,extension(X5,X5,X5,extension(X5,X5,X6,X6))),
    inference(scs_inference,[],[i_0_1001,i_0_502,i_0_1287,i_0_227,i_0_1761,i_0_822,i_0_3040,i_0_2240,i_0_1972,i_0_1186,i_0_1600,i_0_70,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_57]) ).

cnf(i_0_3139,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X5,X4,X4,extension(X4,X4,X6,X6))),
    inference(rename_variables,[],[i_0_1186]) ).

cnf(i_0_3140,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3141,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_3142,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_57]) ).

cnf(i_0_3143,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3144,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3145,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3146,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3147,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3148,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3149,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3151,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,X4,extension(X6,X4,X7,X7))),
    inference(scs_inference,[],[i_0_2691,i_0_68]) ).

cnf(i_0_3152,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3153,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,extension(X6,X5,X7,X7),X5),X5),
    inference(scs_inference,[],[i_0_2691,i_0_2778,i_0_68,i_0_67]) ).

cnf(i_0_3154,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3155,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,extension(X5,X4,extension(X6,X4,X7,X7),X4)),
    inference(scs_inference,[],[i_0_2691,i_0_2778,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3156,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3157,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,extension(X5,X3,X6,X6)),X7,X7),
    inference(scs_inference,[],[i_0_2691,i_0_2778,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_3158,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3159,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),X5,extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_2691,i_0_2778,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_3160,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3161,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,extension(X6,X5,X7,X7),X5),X5),
    inference(scs_inference,[],[i_0_2691,i_0_2778,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3162,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3163,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),X6),
    inference(scs_inference,[],[i_0_2691,i_0_2778,i_0_2514,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3164,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3165,plain,
    equidistant(X1,X2,extension(X3,X1,X4,X4),extension(X5,X2,X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_1849,i_0_2691,i_0_2778,i_0_2514,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3166,plain,
    equidistant(X1,X2,extension(X3,X2,X4,X4),X1),
    inference(rename_variables,[],[i_0_1849]) ).

cnf(i_0_3167,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3168,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,X6),extension(X7,X3,X8,X8),X5,X4),
    inference(scs_inference,[],[i_0_1287,i_0_1851,i_0_1849,i_0_2691,i_0_2778,i_0_2514,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3169,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3170,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3171,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,extension(X5,X4,X6,X6)),lower_dimension_point_1),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_1851,i_0_1849,i_0_2691,i_0_2778,i_0_2514,i_0_1689,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3172,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,extension(X5,X4,X6,X6)),extension(X7,lower_dimension_point_1,X8,X8)),
    inference(rename_variables,[],[i_0_1689]) ).

cnf(i_0_3173,plain,
    X1 = extension(X2,X1,extension(X3,X4,X5,X5),extension(X6,X4,X5,X5)),
    inference(rename_variables,[],[i_0_1001]) ).

cnf(i_0_3174,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,extension(X7,X6,X2,X2)),X5,X2),
    inference(scs_inference,[],[i_0_1001,i_0_1287,i_0_3169,i_0_1851,i_0_331,i_0_1849,i_0_120,i_0_2691,i_0_2778,i_0_2514,i_0_1689,i_0_777,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_102,i_0_57]) ).

cnf(i_0_3175,plain,
    equidistant(X1,extension(X2,X1,X3,extension(X4,X3,X5,X6)),X6,X5),
    inference(rename_variables,[],[i_0_331]) ).

cnf(i_0_3176,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_3177,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3178,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_57]) ).

cnf(i_0_3179,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3180,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3181,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_3182,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3183,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3184,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3185,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3186,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_3188,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X4,X3,X5,X5),extension(X6,X4,X7,X7)),
    inference(scs_inference,[],[i_0_3002,i_0_68]) ).

cnf(i_0_3189,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3190,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X4,X6,X6),extension(X4,X3,X7,X7)),
    inference(scs_inference,[],[i_0_3002,i_0_68,i_0_67]) ).

cnf(i_0_3191,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3192,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X4,X3,X5,X5),extension(X6,X4,X7,X7)),
    inference(scs_inference,[],[i_0_3002,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3193,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3194,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X1,X5,X5),extension(X6,X7,X2,X1),X7),
    inference(scs_inference,[],[i_0_3002,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_3195,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3196,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X1,X5,X5),X6,extension(X7,X6,X2,X1)),
    inference(scs_inference,[],[i_0_3002,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_3197,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3198,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X4,X6,X6),extension(X4,X3,X7,X7)),
    inference(scs_inference,[],[i_0_3002,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3199,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3200,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),extension(X5,X6,X7,X7),X6),
    inference(scs_inference,[],[i_0_3002,i_0_3159,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3201,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3202,plain,
    equidistant(X1,X1,extension(X2,extension(X3,X4,X5,X5),X6,extension(X7,X6,X5,X5)),extension(X3,X4,X5,X5)),
    inference(scs_inference,[],[i_0_502,i_0_1482,i_0_3002,i_0_3159,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3203,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,extension(X6,X7,X8,X8),X4,extension(X9,X3,X8,X8)),extension(X6,X7,X8,X8)),
    inference(rename_variables,[],[i_0_1482]) ).

cnf(i_0_3204,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3205,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X2,X4,X5,X5),X6,extension(X7,extension(X8,X6,X2,X4),extension(X5,X5,X9,X9),X5)),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_1020,i_0_1482,i_0_3002,i_0_3159,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3206,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,extension(X6,X4,X1,X2),extension(X3,X3,X7,X7),X3)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_3207,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3208,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3209,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X2,X6,X6),X2),X7,extension(X8,X7,X9,X9)),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_227,i_0_1020,i_0_1482,i_0_3002,i_0_3159,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_57]) ).

cnf(i_0_3210,plain,
    equidistant(X1,extension(X2,X1,extension(X3,X1,X4,X4),X1),X5,extension(X6,X5,X7,X7)),
    inference(rename_variables,[],[i_0_3159]) ).

cnf(i_0_3211,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_3212,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3213,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_57]) ).

cnf(i_0_3214,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3215,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3216,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3217,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3218,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3219,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3220,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3222,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,extension(X1,X2,X3,X3),X5,extension(X6,X5,X3,X3)),X7,X7),
    inference(scs_inference,[],[i_0_3202,i_0_68]) ).

cnf(i_0_3223,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3224,plain,
    equidistant(X1,extension(X2,X1,X3,X3),X4,extension(X5,X4,extension(X6,X4,X7,X7),X4)),
    inference(scs_inference,[],[i_0_3202,i_0_3200,i_0_68,i_0_67]) ).

cnf(i_0_3225,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3226,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X4,X4)),extension(X2,X3,X4,X4),X7,X7),
    inference(scs_inference,[],[i_0_3202,i_0_3200,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3227,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3228,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),X5,X6),extension(X7,X8,X6,X6),extension(X9,X8,X5,X6)),
    inference(scs_inference,[],[i_0_3202,i_0_3200,i_0_2195,i_0_68,i_0_67,i_0_66,i_0_63]) ).

cnf(i_0_3229,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3230,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,extension(X2,X3,X4,X4),X6,extension(X7,X6,X4,X4))),
    inference(scs_inference,[],[i_0_3202,i_0_3200,i_0_2195,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64]) ).

cnf(i_0_3231,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3232,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X3),extension(X6,extension(X7,X8,X9,X9),X5,X3),X8),
    inference(scs_inference,[],[i_0_3202,i_0_3200,i_0_2195,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65]) ).

cnf(i_0_3233,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3234,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,extension(X5,X2,X6,X6),X2),extension(X7,X8,X9,X9),X8),
    inference(scs_inference,[],[i_0_3202,i_0_3200,i_0_2195,i_0_3209,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62]) ).

cnf(i_0_3235,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3236,plain,
    equidistant(X1,X2,extension(X3,X2,X4,X4),extension(X5,X1,X6,X6)),
    inference(scs_inference,[],[i_0_1287,i_0_1841,i_0_3202,i_0_3200,i_0_2195,i_0_3209,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3237,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3238,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3239,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,X5),extension(X6,X3,X7,X8),X7,X8),
    inference(scs_inference,[],[i_0_1287,i_0_1896,i_0_1841,i_0_3202,i_0_3200,i_0_2195,i_0_3209,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3240,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3241,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3242,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X4,X4,X5,X5),extension(X6,X2,extension(X7,X8,X4,X4),X8)),
    inference(scs_inference,[],[i_0_1287,i_0_3240,i_0_1896,i_0_575,i_0_1063,i_0_1841,i_0_3202,i_0_3200,i_0_2195,i_0_3209,i_0_267,i_0_68,i_0_67,i_0_66,i_0_63,i_0_64,i_0_65,i_0_62,i_0_59,i_0_58,i_0_57]) ).

cnf(i_0_3243,plain,
    equidistant(extension(X1,X2,X3,X3),X1,X4,extension(X5,X4,extension(X6,X7,X1,X2),X7)),
    inference(rename_variables,[],[i_0_1063]) ).

cnf(i_0_3244,plain,
    between(X1,extension(X2,X3,X4,X4),X3),
    inference(rename_variables,[],[i_0_575]) ).

cnf(i_0_3245,plain,
    between(X1,X2,extension(X3,X2,extension(X4,X5,X6,X6),X5)),
    inference(rename_variables,[],[i_0_267]) ).

cnf(i_0_3246,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3247,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_57]) ).

cnf(i_0_3248,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3249,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3250,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X1,X3),
    inference(rename_variables,[],[i_0_1839]) ).

cnf(i_0_3251,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3252,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3253,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3254,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3255,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X6),X5,X6),
    inference(rename_variables,[],[i_0_1494]) ).

cnf(i_0_3257,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X6,extension(X7,extension(X8,X6,X5,X3),X9,X9)),
    inference(scs_inference,[],[i_0_2303,i_0_68]) ).

cnf(i_0_3258,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3259,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,extension(X7,X8,X5,X3),X9,X9),X8),
    inference(scs_inference,[],[i_0_2303,i_0_68,i_0_67]) ).

cnf(i_0_3260,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3261,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X6,extension(X7,extension(X8,X6,X4,X3),X9,X9)),
    inference(scs_inference,[],[i_0_2303,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3262,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3263,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X6,X6),extension(X7,X8,X5,X5),extension(X9,X8,X5,X4)),
    inference(scs_inference,[],[i_0_2303,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3264,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3265,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X5),X6,X6),extension(X7,X8,X5,X4),extension(X9,X8,X5,X5)),
    inference(scs_inference,[],[i_0_2303,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3266,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3267,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,extension(X7,X8,X4,X3),X9,X9),X8),
    inference(scs_inference,[],[i_0_2303,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3268,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3269,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),X5,X6),extension(X7,X8,X5,X6),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_2303,i_0_3228,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3270,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3271,plain,
    equidistant(X1,X1,extension(X2,X3,extension(X4,X5,X6,X6),X5),X3),
    inference(scs_inference,[],[i_0_502,i_0_1577,i_0_2303,i_0_3228,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3272,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X4),X5,extension(X6,X7,X4,X4)),extension(X2,X3,X4,X4),extension(X8,X9,X5,X7),X9),
    inference(rename_variables,[],[i_0_1577]) ).

cnf(i_0_3273,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3274,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3275,plain,
    equidistant(extension(X1,w,X2,X2),v,v,x),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_80,i_0_1577,i_0_2303,i_0_3228,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3276,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3277,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3278,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(extension(X4,X5,X6,X6),extension(X4,X5,X6,X6),X7,extension(X8,X7,X6,X6))),
    inference(scs_inference,[],[i_0_502,i_0_3273,i_0_1287,i_0_120,i_0_80,i_0_1577,i_0_2303,i_0_3228,i_0_3230,i_0_70,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_59,i_0_58,i_0_57]) ).

cnf(i_0_3279,plain,
    equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,extension(X2,X3,X4,X4),X6,extension(X7,X6,X4,X4))),
    inference(rename_variables,[],[i_0_3230]) ).

cnf(i_0_3280,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3281,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_3282,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3283,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_57]) ).

cnf(i_0_3284,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3285,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3286,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3287,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3288,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3289,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3290,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3292,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),X6,extension(X7,extension(X8,X6,X9,X9),X5,X3)),
    inference(scs_inference,[],[i_0_2429,i_0_68]) ).

cnf(i_0_3293,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3294,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X3,X5),extension(X6,extension(X7,X8,X9,X9),X5,X3),X8),
    inference(scs_inference,[],[i_0_2429,i_0_68,i_0_67]) ).

cnf(i_0_3295,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3296,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X6,extension(X7,extension(X8,X6,X9,X9),X4,X3)),
    inference(scs_inference,[],[i_0_2429,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3297,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3298,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),X5,X6),extension(X7,X8,X6,X6),extension(X9,X8,X6,X5)),
    inference(scs_inference,[],[i_0_2429,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3299,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3300,plain,
    equidistant(X1,extension(X2,extension(X3,X1,X4,X4),X5,X6),extension(X7,X8,X6,X5),extension(X9,X8,X6,X6)),
    inference(scs_inference,[],[i_0_2429,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3301,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3302,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),extension(X6,extension(X7,X8,X9,X9),X4,X3),X8),
    inference(scs_inference,[],[i_0_2429,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3303,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3304,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),X2,X5),
    inference(scs_inference,[],[i_0_2429,i_0_2739,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3305,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3306,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X2,X2,X5,X5),X3,extension(X6,X4,X2,X2)),
    inference(scs_inference,[],[i_0_1239,i_0_972,i_0_2429,i_0_2739,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_59]) ).

cnf(i_0_3307,plain,
    equidistant(extension(X1,extension(X2,X3,X4,X5),X6,extension(X6,X6,X7,X7)),X3,X4,extension(X8,X5,X6,X6)),
    inference(rename_variables,[],[i_0_972]) ).

cnf(i_0_3308,plain,
    equidistant(extension(X1,X2,X3,extension(X4,X3,X5,X5)),X3,X2,extension(X4,X3,X5,X5)),
    inference(rename_variables,[],[i_0_1239]) ).

cnf(i_0_3309,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3310,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,extension(X4,X2,X5,X5),extension(X4,X2,X5,X5)),extension(X8,X7,X9,X9)),
    inference(scs_inference,[],[i_0_1287,i_0_1239,i_0_2768,i_0_972,i_0_2429,i_0_2739,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_59,i_0_58]) ).

cnf(i_0_3311,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,extension(X1,X2,X3,X3),extension(X1,X2,X3,X3)),extension(X6,X5,X7,X7)),
    inference(rename_variables,[],[i_0_2768]) ).

cnf(i_0_3312,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X4,X2),
    inference(rename_variables,[],[i_0_1287]) ).

cnf(i_0_3313,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X5,X6,X3,X4)
    | ~ equidistant(X5,X6,X1,X2) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3314,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),X5,extension(X5,X5,X6,extension(X7,X6,X5,X5))),
    inference(scs_inference,[],[i_0_502,i_0_1287,i_0_1239,i_0_227,i_0_2768,i_0_972,i_0_2429,i_0_2739,i_0_1372,i_0_777,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_59,i_0_58,i_0_57]) ).

cnf(i_0_3315,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X3,extension(X4,X4,X5,extension(X6,X5,X4,X4))),
    inference(rename_variables,[],[i_0_1372]) ).

cnf(i_0_3316,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3317,plain,
    between(X1,X2,extension(X3,X2,X4,extension(X5,X4,X6,X6))),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_3318,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_57]) ).

cnf(i_0_3319,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),extension(X3,lower_dimension_point_3,X4,X4),extension(X5,lower_dimension_point_1,X6,X6)),
    inference(rename_variables,[],[i_0_1458]) ).

cnf(i_0_3320,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3321,plain,
    equidistant(X1,X2,X1,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_1841]) ).

cnf(i_0_3322,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3323,plain,
    equidistant(extension(X1,X2,X3,X3),X2,X4,X4),
    inference(rename_variables,[],[i_0_502]) ).

cnf(i_0_3324,plain,
    equidistant(extension(X1,X2,extension(X3,X2,X4,X4),X2),extension(X3,X2,X4,X4),X5,X5),
    inference(rename_variables,[],[i_0_662]) ).

cnf(i_0_3325,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3327,plain,
    ~ between(w,x,w),
    inference(scs_inference,[],[i_0_87,i_0_81]) ).

cnf(i_0_3328,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3329,plain,
    w != extension(x,w,x,w),
    inference(scs_inference,[],[i_0_87,i_0_81,i_0_72]) ).

cnf(i_0_3330,plain,
    ( X1 = X2
    | X1 != extension(X2,X1,X2,X1) ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_3331,plain,
    extension(X1,lower_dimension_point_2,X2,X2) != extension(lower_dimension_point_3,lower_dimension_point_1,X3,X4),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_81,i_0_72,i_0_71]) ).

cnf(i_0_3332,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3333,plain,
    ~ equidistant(w,x,X1,X1),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_81,i_0_72,i_0_71,i_0_73]) ).

cnf(i_0_3334,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3335,plain,
    x != w,
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90]) ).

cnf(i_0_3336,plain,
    ~ equidistant(X1,X1,x,w),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68]) ).

cnf(i_0_3337,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3338,plain,
    ~ equidistant(x,w,X1,X1),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67]) ).

cnf(i_0_3339,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3340,plain,
    ~ equidistant(X1,X1,w,x),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3341,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3342,plain,
    between(v,inner_pasch(u,v,w,v,u),u),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_86,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53]) ).

cnf(i_0_3343,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3)
    | between(X2,inner_pasch(X1,X2,X3,X5,X4),X4) ),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_3344,plain,
    between(v,inner_pasch(u,v,x,v,u),u),
    inference(scs_inference,[],[i_0_87,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54]) ).

cnf(i_0_3345,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3)
    | between(X5,inner_pasch(X1,X2,X3,X5,X4),X1) ),
    inference(rename_variables,[],[i_0_54]) ).

cnf(i_0_3346,plain,
    equidistant(u,extension(X1,w,X2,X2),u,x),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_76,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97]) ).

cnf(i_0_3347,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3348,plain,
    equidistant(extension(X1,u,X2,X2),w,u,x),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_76,i_0_3347,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96]) ).

cnf(i_0_3349,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3350,plain,
    equidistant(u,w,extension(X1,u,X2,X2),x),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_76,i_0_3347,i_0_3349,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98]) ).

cnf(i_0_3351,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3352,plain,
    equidistant(u,w,u,extension(X1,x,X2,X2)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99]) ).

cnf(i_0_3353,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3354,plain,
    extension(X1,w,X2,X2) != x,
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91]) ).

cnf(i_0_3355,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3356,plain,
    ~ equidistant(extension(X1,w,X2,X2),extension(X3,x,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_3304,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59]) ).

cnf(i_0_3357,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),X2,X5),
    inference(rename_variables,[],[i_0_3304]) ).

cnf(i_0_3358,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X1,X2)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3359,plain,
    ~ equidistant(extension(X1,X2,x,w),extension(X3,X2,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_2034,i_0_3304,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58]) ).

cnf(i_0_3360,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2034]) ).

cnf(i_0_3361,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3362,plain,
    between(u,u,euclid1(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_2034,i_0_3304,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51]) ).

cnf(i_0_3363,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X2,X5)
    | X1 = X2
    | between(X1,X4,euclid1(X1,X4,X2,X5,X3)) ),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_3364,plain,
    between(u,w,euclid2(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_2034,i_0_3304,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52]) ).

cnf(i_0_3365,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X2,X5)
    | X1 = X2
    | between(X1,X5,euclid2(X1,X4,X2,X5,X3)) ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_3366,plain,
    between(euclid1(u,u,v,w,w),w,euclid2(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_2034,i_0_3304,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50]) ).

cnf(i_0_3367,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X2,X5)
    | X1 = X2
    | between(euclid1(X1,X4,X2,X5,X3),X3,euclid2(X1,X4,X2,X5,X3)) ),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_3368,plain,
    ~ equidistant(extension(X1,w,X2,X2),x,extension(X3,X4,X5,X5),extension(X4,X4,X6,X6)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57]) ).

cnf(i_0_3369,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_3370,plain,
    between(X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_2324]) ).

cnf(i_0_3371,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X4,X3,X5,X5),extension(X6,X4,X7,X7)),
    inference(rename_variables,[],[i_0_3188]) ).

cnf(i_0_3372,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X5,X6)
    | equidistant(X1,X3,X4,X6)
    | ~ equidistant(X1,X2,X4,X5)
    | ~ equidistant(X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_3373,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,x,w),extension(X5,X6,X7,X7),extension(X5,X6,X7,X7)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64]) ).

cnf(i_0_3374,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3375,plain,
    ~ equidistant(x,extension(X1,w,X2,X2),extension(X3,X4,X5,X5),extension(X4,X4,X6,X6)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63]) ).

cnf(i_0_3376,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3377,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X1,X2,X3,X3),extension(X4,X5,x,w),extension(X6,X5,X7,X7)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3378,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3379,plain,
    ~ equidistant(extension(X1,w,X2,X2),x,extension(X3,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3380,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3381,plain,
    ( continuous(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_2) != lower_dimension_point_1
    | ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2) ),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_120,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65,i_0_62,i_0_135]) ).

cnf(i_0_3382,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3383,plain,
    ( ~ between(lower_dimension_point_3,X1,lower_dimension_point_2)
    | continuous(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_3,X1,lower_dimension_point_2,lower_dimension_point_2) != lower_dimension_point_1
    | ~ between(lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_2) ),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_3384,plain,
    between(extension(X1,u,X2,X2),v,w),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_3355,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_120,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65,i_0_62,i_0_135,i_0_100]) ).

cnf(i_0_3385,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3386,plain,
    between(u,extension(X1,v,X2,X2),w),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_3355,i_0_3385,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_120,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65,i_0_62,i_0_135,i_0_100,i_0_101]) ).

cnf(i_0_3387,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3388,plain,
    between(u,v,extension(X1,w,X2,X2)),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_2034,i_0_3304,i_0_2324,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_3355,i_0_3385,i_0_3387,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_120,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65,i_0_62,i_0_135,i_0_100,i_0_101,i_0_102]) ).

cnf(i_0_3389,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3390,plain,
    ( ~ equidistant(w,extension(X1,x,X2,X2),extension(X3,X2,x,w),extension(X4,X2,X5,X5))
    | ~ equidistant(x,extension(w,x,x,w),extension(X2,X2,X6,X6),extension(X4,X2,X5,X5)) ),
    inference(scs_inference,[],[i_0_87,i_0_127,i_0_88,i_0_3188,i_0_3371,i_0_2034,i_0_3360,i_0_3304,i_0_2324,i_0_3370,i_0_76,i_0_3347,i_0_3349,i_0_3351,i_0_3353,i_0_3355,i_0_3385,i_0_3387,i_0_2203,i_0_86,i_0_85,i_0_70,i_0_3369,i_0_120,i_0_81,i_0_72,i_0_71,i_0_73,i_0_90,i_0_68,i_0_67,i_0_66,i_0_53,i_0_54,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_51,i_0_52,i_0_50,i_0_57,i_0_64,i_0_63,i_0_65,i_0_62,i_0_135,i_0_100,i_0_101,i_0_102,i_0_55]) ).

cnf(i_0_3391,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_3392,plain,
    between(X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_2324]) ).

cnf(i_0_3393,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2034]) ).

cnf(i_0_3394,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X4,X3,X5,X5),extension(X6,X4,X7,X7)),
    inference(rename_variables,[],[i_0_3188]) ).

cnf(i_0_3395,plain,
    ( ~ between(X1,X2,X3)
    | ~ between(X4,X5,X6)
    | X1 = X2
    | equidistant(X3,X7,X6,X8)
    | ~ equidistant(X1,X2,X4,X5)
    | ~ equidistant(X2,X7,X5,X8)
    | ~ equidistant(X1,X7,X4,X8)
    | ~ equidistant(X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_3396,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_138,i_0_81]) ).

cnf(i_0_3397,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3398,plain,
    lower_dimension_point_2 != extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_138,i_0_81,i_0_72]) ).

cnf(i_0_3399,plain,
    ( X1 = X2
    | X1 != extension(X2,X1,X2,X1) ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_3400,plain,
    w != extension(w,x,X1,X2),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_81,i_0_72,i_0_71]) ).

cnf(i_0_3401,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3402,plain,
    ~ equidistant(lower_dimension_point_2,lower_dimension_point_1,X1,X1),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_81,i_0_72,i_0_71,i_0_73]) ).

cnf(i_0_3403,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3404,plain,
    ~ equidistant(X1,X1,extension(X2,x,X3,X3),extension(X4,w,X5,X5)),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68]) ).

cnf(i_0_3405,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3406,plain,
    ~ equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,x,w)),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3407,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3408,plain,
    ~ equidistant(X1,X1,extension(X2,w,X3,X3),extension(X4,x,X5,X5)),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3409,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3410,plain,
    ~ equidistant(extension(X1,x,X2,X2),extension(X3,w,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3411,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3412,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,x,w),X5,X5),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3413,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3414,plain,
    ~ equidistant(X1,X1,extension(X2,X3,x,w),extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3415,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3416,plain,
    ~ equidistant(x,extension(X1,w,X2,X2),extension(X3,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_3375,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3417,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3418,plain,
    lower_dimension_point_1 != lower_dimension_point_2,
    inference(scs_inference,[],[i_0_138,i_0_3327,i_0_3356,i_0_3359,i_0_3375,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3419,plain,
    equidistant(w,extension(X1,v,X2,X2),v,x),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_3327,i_0_3356,i_0_3359,i_0_3375,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97]) ).

cnf(i_0_3420,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3421,plain,
    equidistant(extension(X1,w,X2,X2),v,x,v),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_3327,i_0_3356,i_0_3359,i_0_3375,i_0_76,i_0_3420,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96]) ).

cnf(i_0_3422,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3423,plain,
    equidistant(w,v,extension(X1,v,X2,X2),x),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_3327,i_0_3356,i_0_3359,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98]) ).

cnf(i_0_3424,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3425,plain,
    equidistant(w,v,v,extension(X1,x,X2,X2)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_3327,i_0_3356,i_0_3359,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99]) ).

cnf(i_0_3426,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3427,plain,
    lower_dimension_point_2 != extension(lower_dimension_point_3,lower_dimension_point_1,X1,X2),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_3327,i_0_3356,i_0_3359,i_0_3331,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_105,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91]) ).

cnf(i_0_3428,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_3429,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_3327,i_0_3306,i_0_1198,i_0_3356,i_0_3359,i_0_3331,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_105,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59]) ).

cnf(i_0_3430,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X3,X3),X6,extension(X7,X6,X4,X3)),
    inference(rename_variables,[],[i_0_1198]) ).

cnf(i_0_3431,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X2,X2,X5,X5),X3,extension(X6,X4,X2,X2)),
    inference(rename_variables,[],[i_0_3306]) ).

cnf(i_0_3432,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3433,plain,
    equidistant(x,v,extension(X1,X2,v,w),extension(X3,X2,X4,X4)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_105,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58]) ).

cnf(i_0_3434,plain,
    equidistant(X1,X2,extension(X3,X4,X1,X2),extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2038]) ).

cnf(i_0_3435,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X5,X6)
    | ~ equidistant(X3,X4,X5,X6) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3436,plain,
    between(extension(X1,v,X2,X2),inner_pasch(u,v,w,v,u),u),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3342,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_3426,i_0_105,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100]) ).

cnf(i_0_3437,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3438,plain,
    between(v,inner_pasch(u,v,w,v,u),extension(X1,u,X2,X2)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3342,i_0_3375,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_3426,i_0_3437,i_0_105,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102]) ).

cnf(i_0_3439,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3440,plain,
    between(u,u,euclid1(u,u,v,x,x)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3342,i_0_3375,i_0_88,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_3426,i_0_3437,i_0_105,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_51]) ).

cnf(i_0_3441,plain,
    ( ~ between(X1,X2,X3)
    | X4 = X2
    | ~ between(X4,X2,X5)
    | between(X4,X1,euclid1(X4,X1,X2,X3,X5)) ),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_3442,plain,
    between(u,x,euclid2(u,u,v,x,x)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3342,i_0_3375,i_0_88,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_3426,i_0_3437,i_0_105,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_51,i_0_52]) ).

cnf(i_0_3443,plain,
    ( ~ between(X1,X2,X3)
    | X4 = X2
    | ~ between(X4,X2,X5)
    | between(X4,X3,euclid2(X4,X1,X2,X3,X5)) ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_3444,plain,
    between(euclid1(u,u,v,x,x),x,euclid2(u,u,v,x,x)),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3342,i_0_3375,i_0_88,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_3426,i_0_3437,i_0_105,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_51,i_0_52,i_0_50]) ).

cnf(i_0_3445,plain,
    ( ~ between(X1,X2,X3)
    | X4 = X2
    | ~ between(X4,X2,X5)
    | between(euclid1(X4,X1,X2,X3,X5),X5,euclid2(X4,X1,X2,X3,X5)) ),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_3446,plain,
    ( ~ between(v,x,v)
    | ~ between(w,v,x) ),
    inference(scs_inference,[],[i_0_138,i_0_149,i_0_151,i_0_155,i_0_3327,i_0_3333,i_0_3306,i_0_1198,i_0_2038,i_0_3356,i_0_3359,i_0_3331,i_0_3342,i_0_3375,i_0_88,i_0_76,i_0_3420,i_0_3422,i_0_3424,i_0_3426,i_0_3437,i_0_79,i_0_105,i_0_85,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_51,i_0_52,i_0_50,i_0_57]) ).

cnf(i_0_3447,plain,
    ~ equidistant(w,x,X1,X1),
    inference(rename_variables,[],[i_0_3333]) ).

cnf(i_0_3448,plain,
    equidistant(X1,X2,X2,X1),
    inference(rename_variables,[],[i_0_79]) ).

cnf(i_0_3449,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X5,X3,X6)
    | ~ between(X3,X6,X4)
    | ~ between(X1,X5,X2)
    | ~ equidistant(X5,X2,X6,X4) ),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_3451,plain,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_3418,i_0_81]) ).

cnf(i_0_3452,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3453,plain,
    lower_dimension_point_1 != extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_3418,i_0_81,i_0_72]) ).

cnf(i_0_3454,plain,
    ( X1 = X2
    | X1 != extension(X2,X1,X2,X1) ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_3455,plain,
    lower_dimension_point_2 != extension(lower_dimension_point_2,lower_dimension_point_1,X1,X2),
    inference(scs_inference,[],[i_0_3396,i_0_3418,i_0_81,i_0_72,i_0_71]) ).

cnf(i_0_3456,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3457,plain,
    ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,X1,X1),
    inference(scs_inference,[],[i_0_3396,i_0_3418,i_0_81,i_0_72,i_0_71,i_0_73]) ).

cnf(i_0_3458,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3459,plain,
    ~ equidistant(X1,X1,lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68]) ).

cnf(i_0_3460,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3461,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X2,X2,X4,X4),x,extension(X5,w,X6,X6)),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3368,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3462,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3463,plain,
    ~ equidistant(X1,X1,lower_dimension_point_2,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3368,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3464,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3465,plain,
    ~ equidistant(extension(X1,X1,X2,X2),extension(X3,X1,X4,X4),extension(X5,w,X6,X6),x),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3368,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3466,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3467,plain,
    ~ equidistant(extension(X1,X1,X2,X2),extension(X3,X1,X4,X4),x,extension(X5,w,X6,X6)),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3368,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3468,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3469,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X2,X2,X4,X4),extension(X5,w,X6,X6),x),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3368,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3470,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3471,plain,
    extension(x,w,x,w) != w,
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3329,i_0_3368,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90]) ).

cnf(i_0_3472,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),extension(X5,X5,X7,X7)),
    inference(scs_inference,[],[i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3329,i_0_3368,i_0_1388,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97]) ).

cnf(i_0_3473,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_3474,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X4,X6,X6),extension(X4,X3,X7,X7)),
    inference(rename_variables,[],[i_0_3190]) ).

cnf(i_0_3475,plain,
    equidistant(v,x,extension(X1,w,X2,X2),v),
    inference(scs_inference,[],[i_0_153,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3329,i_0_3368,i_0_1388,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98]) ).

cnf(i_0_3476,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3477,plain,
    equidistant(extension(X1,v,X2,X2),x,w,v),
    inference(scs_inference,[],[i_0_153,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3329,i_0_3368,i_0_1388,i_0_76,i_0_3476,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96]) ).

cnf(i_0_3478,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3479,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X4,X6,X6),extension(X7,X3,X8,X8)),
    inference(scs_inference,[],[i_0_153,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99]) ).

cnf(i_0_3480,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_3481,plain,
    extension(X1,lower_dimension_point_1,X2,X2) != lower_dimension_point_2,
    inference(scs_inference,[],[i_0_153,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91]) ).

cnf(i_0_3482,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3483,plain,
    ~ equidistant(X1,extension(X2,X1,X3,X3),x,w),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59]) ).

cnf(i_0_3484,plain,
    ~ equidistant(X1,X1,x,w),
    inference(rename_variables,[],[i_0_3336]) ).

cnf(i_0_3485,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X4,X6,X6),extension(X4,X3,X7,X7)),
    inference(rename_variables,[],[i_0_3190]) ).

cnf(i_0_3486,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X1,X2)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3487,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,w,x),X5,X5),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3338,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_2042,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58]) ).

cnf(i_0_3488,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X2,X1)),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_3489,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3490,plain,
    between(extension(X1,v,X2,X2),inner_pasch(u,v,x,v,u),u),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3338,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_2042,i_0_3344,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_3482,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100]) ).

cnf(i_0_3491,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3492,plain,
    between(v,inner_pasch(u,v,x,v,u),extension(X1,u,X2,X2)),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3338,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_2042,i_0_3344,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_3482,i_0_3491,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102]) ).

cnf(i_0_3493,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3494,plain,
    equidistant(v,extension(X1,x,X2,X2),w,extension(w,v,x,x)),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3338,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_1587,i_0_2042,i_0_3344,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_3482,i_0_3491,i_0_70,i_0_227,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_57]) ).

cnf(i_0_3495,plain,
    between(X1,X2,extension(X1,X2,X3,X4)),
    inference(rename_variables,[],[i_0_70]) ).

cnf(i_0_3496,plain,
    between(X1,X2,extension(X3,X2,X4,X4)),
    inference(rename_variables,[],[i_0_227]) ).

cnf(i_0_3497,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X3,X1)),
    inference(rename_variables,[],[i_0_1587]) ).

cnf(i_0_3498,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | ~ between(X3,X4,X5)
    | ~ between(X1,X2,X6)
    | equidistant(X1,X6,X3,X5)
    | ~ equidistant(X2,X6,X4,X5) ),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_3499,plain,
    ~ equidistant(X1,extension(X2,X1,X3,X3),w,x),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3338,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_1587,i_0_2042,i_0_3344,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_76,i_0_3476,i_0_3478,i_0_3482,i_0_3491,i_0_70,i_0_227,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_57,i_0_62]) ).

cnf(i_0_3500,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3501,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X2,X1)),
    inference(rename_variables,[],[i_0_2042]) ).

cnf(i_0_3502,plain,
    ~ between(lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3),
    inference(rename_variables,[],[i_0_2094]) ).

cnf(i_0_3503,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
    inference(rename_variables,[],[i_0_163]) ).

cnf(i_0_3504,plain,
    ( ~ equidistant(lower_dimension_point_3,X1,lower_dimension_point_3,extension(X2,lower_dimension_point_2,X1,extension(X3,lower_dimension_point_2,X4,X4)))
    | ~ equidistant(lower_dimension_point_1,X1,lower_dimension_point_1,extension(X2,lower_dimension_point_2,X1,extension(X3,lower_dimension_point_2,X4,X4)))
    | X1 = extension(X2,lower_dimension_point_2,X1,extension(X3,lower_dimension_point_2,X4,X4)) ),
    inference(scs_inference,[],[i_0_153,i_0_3336,i_0_3338,i_0_3402,i_0_3396,i_0_3418,i_0_3190,i_0_3474,i_0_1587,i_0_2042,i_0_3488,i_0_3344,i_0_3329,i_0_3368,i_0_1388,i_0_3473,i_0_2094,i_0_2203,i_0_76,i_0_3476,i_0_3478,i_0_3482,i_0_3491,i_0_163,i_0_70,i_0_227,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_90,i_0_97,i_0_98,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_100,i_0_102,i_0_57,i_0_62,i_0_56]) ).

cnf(i_0_3505,plain,
    ~ between(extension(x,w,x,w),w,extension(x,w,x,w)),
    inference(scs_inference,[],[i_0_3471,i_0_81]) ).

cnf(i_0_3506,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3507,plain,
    x != extension(w,x,w,x),
    inference(scs_inference,[],[i_0_3471,i_0_3335,i_0_81,i_0_72]) ).

cnf(i_0_3508,plain,
    ( X1 = X2
    | X1 != extension(X2,X1,X2,X1) ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_3509,plain,
    lower_dimension_point_1 != extension(lower_dimension_point_1,lower_dimension_point_2,X1,X2),
    inference(scs_inference,[],[i_0_3451,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71]) ).

cnf(i_0_3510,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3511,plain,
    ~ equidistant(extension(x,w,x,w),w,X1,X1),
    inference(scs_inference,[],[i_0_3451,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73]) ).

cnf(i_0_3512,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3513,plain,
    ~ equidistant(X1,X1,extension(X2,X3,w,x),extension(X4,X3,X5,X5)),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68]) ).

cnf(i_0_3514,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3515,plain,
    ~ equidistant(x,w,extension(X1,X2,X3,X3),X2),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3516,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3517,plain,
    ~ equidistant(X1,X1,extension(X2,X3,X4,X4),extension(X5,X3,w,x)),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3518,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3519,plain,
    ~ equidistant(extension(X1,X2,w,x),extension(X3,X2,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3520,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3521,plain,
    ~ equidistant(extension(X1,X2,X3,X3),X2,x,w),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3522,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3523,plain,
    ~ equidistant(x,w,X1,extension(X2,X1,X3,X3)),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3524,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3525,plain,
    ~ equidistant(extension(X1,X2,X3,X3),X2,w,x),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3526,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3527,plain,
    lower_dimension_point_1 != extension(X1,lower_dimension_point_2,X2,X2),
    inference(scs_inference,[],[i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3528,plain,
    equidistant(x,extension(X1,v,X2,X2),w,v),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97]) ).

cnf(i_0_3529,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3530,plain,
    equidistant(extension(X1,x,X2,X2),v,w,v),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_3529,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96]) ).

cnf(i_0_3531,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3532,plain,
    equidistant(x,v,extension(X1,w,X2,X2),v),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_3529,i_0_3531,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98]) ).

cnf(i_0_3533,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3534,plain,
    equidistant(x,v,w,extension(X1,v,X2,X2)),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_3529,i_0_3531,i_0_3533,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99]) ).

cnf(i_0_3535,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3536,plain,
    ~ equidistant(extension(X1,X1,X2,X2),extension(X3,X1,X4,X4),x,w),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3196,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_3529,i_0_3531,i_0_3533,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_59]) ).

cnf(i_0_3537,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X1,X5,X5),X6,extension(X7,X6,X2,X1)),
    inference(rename_variables,[],[i_0_3196]) ).

cnf(i_0_3538,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3539,plain,
    equidistant(x,v,extension(X1,X2,X3,X3),extension(X4,X2,w,v)),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3196,i_0_2046,i_0_3487,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_3529,i_0_3531,i_0_3533,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_59,i_0_58]) ).

cnf(i_0_3540,plain,
    equidistant(X1,X2,extension(X3,X4,X5,X5),extension(X6,X4,X1,X2)),
    inference(rename_variables,[],[i_0_2046]) ).

cnf(i_0_3541,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X5,X6)
    | ~ equidistant(X3,X4,X5,X6) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3542,plain,
    between(extension(X1,v,X2,X2),inner_pasch(u,v,x,v,u),extension(X3,u,X4,X4)),
    inference(scs_inference,[],[i_0_145,i_0_3451,i_0_3196,i_0_2046,i_0_3487,i_0_3490,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_76,i_0_3529,i_0_3531,i_0_3533,i_0_3535,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3543,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3544,plain,
    ( ~ between(lower_dimension_point_2,extension(X1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1),extension(X2,lower_dimension_point_2,X3,X3))
    | ~ equidistant(lower_dimension_point_1,lower_dimension_point_1,extension(X1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_1),extension(X2,lower_dimension_point_2,X3,X3)) ),
    inference(scs_inference,[],[i_0_145,i_0_3457,i_0_3451,i_0_3196,i_0_2046,i_0_2735,i_0_3126,i_0_3487,i_0_3490,i_0_3483,i_0_3471,i_0_614,i_0_3335,i_0_2034,i_0_76,i_0_3529,i_0_3531,i_0_3533,i_0_3535,i_0_120,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_98,i_0_99,i_0_59,i_0_58,i_0_102,i_0_55]) ).

cnf(i_0_3545,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X2,extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2735]) ).

cnf(i_0_3546,plain,
    extension(X1,lower_dimension_point_2,X2,X2) != lower_dimension_point_1,
    inference(rename_variables,[],[i_0_614]) ).

cnf(i_0_3547,plain,
    ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,X1,X1),
    inference(rename_variables,[],[i_0_3457]) ).

cnf(i_0_3548,plain,
    equidistant(extension(X1,X2,X3,X3),X4,X5,extension(X6,X5,X2,X4)),
    inference(rename_variables,[],[i_0_3126]) ).

cnf(i_0_3549,plain,
    equidistant(X1,X2,extension(X3,X4,X2,X1),extension(X5,X4,X6,X6)),
    inference(rename_variables,[],[i_0_2034]) ).

cnf(i_0_3550,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3551,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | X1 = X5
    | equidistant(X6,X2,X7,X4)
    | ~ equidistant(X1,X5,X3,X8)
    | ~ equidistant(X5,X2,X8,X4)
    | ~ between(X3,X8,X7)
    | ~ between(X1,X5,X6)
    | ~ equidistant(X5,X6,X8,X7) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_3553,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,extension(X1,lower_dimension_point_1,X2,X2)),
    inference(scs_inference,[],[i_0_3481,i_0_81]) ).

cnf(i_0_3554,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3555,plain,
    u != extension(v,u,v,u),
    inference(scs_inference,[],[i_0_3481,i_0_88,i_0_81,i_0_72]) ).

cnf(i_0_3556,plain,
    ( X1 = X2
    | X1 != extension(X2,X1,X2,X1) ),
    inference(rename_variables,[],[i_0_72]) ).

cnf(i_0_3557,plain,
    extension(X1,lower_dimension_point_3,X2,X2) != extension(lower_dimension_point_1,lower_dimension_point_2,X3,X4),
    inference(scs_inference,[],[i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71]) ).

cnf(i_0_3558,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3559,plain,
    ~ equidistant(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,X3,X3),
    inference(scs_inference,[],[i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73]) ).

cnf(i_0_3560,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3561,plain,
    ~ equidistant(X1,X1,w,extension(x,w,x,w)),
    inference(scs_inference,[],[i_0_3511,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68]) ).

cnf(i_0_3562,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3563,plain,
    ~ equidistant(x,w,extension(X1,X2,X3,X3),extension(X2,X2,X4,X4)),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3564,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3565,plain,
    ~ equidistant(X1,X1,extension(x,w,x,w),w),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3566,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3567,plain,
    ~ equidistant(w,extension(x,w,x,w),X1,X1),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3568,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3569,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X2,X2,X4,X4),x,w),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3570,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3571,plain,
    ~ equidistant(x,w,extension(X1,X1,X2,X2),extension(X3,X1,X4,X4)),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3572,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3573,plain,
    ~ equidistant(extension(X1,X1,X2,X2),extension(X3,X1,X4,X4),w,x),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3574,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3575,plain,
    lower_dimension_point_2 != extension(X1,lower_dimension_point_1,X2,X2),
    inference(scs_inference,[],[i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3576,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X8,X8),extension(X7,X7,X9,X9)),
    inference(scs_inference,[],[i_0_3472,i_0_3511,i_0_3536,i_0_3481,i_0_2092,i_0_88,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96]) ).

cnf(i_0_3577,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3578,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),extension(X7,X5,X8,X8)),
    inference(scs_inference,[],[i_0_3472,i_0_3511,i_0_3536,i_0_3481,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99]) ).

cnf(i_0_3579,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_3580,plain,
    ~ equidistant(X1,extension(X2,X1,X3,X3),lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_3459,i_0_3472,i_0_3511,i_0_3536,i_0_3481,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99,i_0_59]) ).

cnf(i_0_3581,plain,
    ~ equidistant(X1,X1,lower_dimension_point_1,lower_dimension_point_2),
    inference(rename_variables,[],[i_0_3459]) ).

cnf(i_0_3582,plain,
    equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,X6,X6),extension(X5,X5,X7,X7)),
    inference(rename_variables,[],[i_0_3472]) ).

cnf(i_0_3583,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X1,X2)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3584,plain,
    ~ equidistant(X1,extension(X2,X1,x,w),X3,X3),
    inference(scs_inference,[],[i_0_3459,i_0_3472,i_0_2825,i_0_3511,i_0_3536,i_0_3481,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99,i_0_59,i_0_58]) ).

cnf(i_0_3585,plain,
    equidistant(extension(X1,X2,X3,X4),X2,X5,extension(X6,X5,X3,X4)),
    inference(rename_variables,[],[i_0_2825]) ).

cnf(i_0_3586,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3587,plain,
    between(u,extension(X1,v,X2,X2),extension(X3,w,X4,X4)),
    inference(scs_inference,[],[i_0_3459,i_0_3472,i_0_2825,i_0_3511,i_0_3536,i_0_3481,i_0_3386,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_3577,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99,i_0_59,i_0_58,i_0_102]) ).

cnf(i_0_3588,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3589,plain,
    equidistant(x,extension(X1,v,X2,X2),extension(X3,X4,v,w),extension(X5,X4,X6,X6)),
    inference(scs_inference,[],[i_0_3459,i_0_3472,i_0_2825,i_0_3511,i_0_3536,i_0_3433,i_0_3481,i_0_3386,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_3577,i_0_3588,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99,i_0_59,i_0_58,i_0_102,i_0_97]) ).

cnf(i_0_3590,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3591,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,v,w),extension(X5,v,X6,X6),x),
    inference(scs_inference,[],[i_0_3459,i_0_3472,i_0_2825,i_0_3511,i_0_3536,i_0_2128,i_0_3433,i_0_3481,i_0_3386,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_3577,i_0_3588,i_0_3590,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99,i_0_59,i_0_58,i_0_102,i_0_97,i_0_98]) ).

cnf(i_0_3592,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3593,plain,
    between(euclid1(u,u,v,w,w),extension(X1,w,X2,X2),euclid2(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_3459,i_0_3472,i_0_2825,i_0_3511,i_0_3366,i_0_3536,i_0_2128,i_0_3433,i_0_3481,i_0_3386,i_0_1388,i_0_2092,i_0_88,i_0_76,i_0_3577,i_0_3588,i_0_3590,i_0_3592,i_0_81,i_0_72,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_99,i_0_59,i_0_58,i_0_102,i_0_97,i_0_98,i_0_101]) ).

cnf(i_0_3594,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3595,plain,
    equidistant(X1,X2,extension(X3,X2,X4,X4),extension(X5,X1,X6,X6)),
    inference(rename_variables,[],[i_0_3236]) ).

cnf(i_0_3596,plain,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,extension(X1,lower_dimension_point_2,X2,X2)),
    inference(rename_variables,[],[i_0_2203]) ).

cnf(i_0_3597,plain,
    ~ between(extension(X1,lower_dimension_point_2,X2,X2),lower_dimension_point_3,lower_dimension_point_1),
    inference(rename_variables,[],[i_0_163]) ).

cnf(i_0_3598,plain,
    ( ~ equidistant(X1,X2,X1,X3)
    | between(X4,X5,X1)
    | X2 = X3
    | ~ equidistant(X5,X2,X5,X3)
    | between(X1,X4,X5)
    | ~ equidistant(X4,X2,X4,X3)
    | between(X5,X1,X4) ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_3600,plain,
    ~ between(extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_1,lower_dimension_point_2,X3,X4),extension(X1,lower_dimension_point_3,X2,X2)),
    inference(scs_inference,[],[i_0_3557,i_0_81]) ).

cnf(i_0_3601,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3602,plain,
    extension(X1,lower_dimension_point_1,X2,X2) != extension(lower_dimension_point_2,lower_dimension_point_3,X3,X4),
    inference(scs_inference,[],[i_0_3557,i_0_167,i_0_81,i_0_71]) ).

cnf(i_0_3603,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3604,plain,
    ~ equidistant(extension(X1,lower_dimension_point_3,X2,X2),extension(lower_dimension_point_1,lower_dimension_point_2,X3,X4),X5,X5),
    inference(scs_inference,[],[i_0_3557,i_0_167,i_0_81,i_0_71,i_0_73]) ).

cnf(i_0_3605,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3606,plain,
    ~ equidistant(X1,X1,extension(X2,X3,x,w),X3),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68]) ).

cnf(i_0_3607,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3608,plain,
    ~ equidistant(X1,X1,lower_dimension_point_2,extension(X2,lower_dimension_point_1,X3,X3)),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3609,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3610,plain,
    ~ equidistant(X1,X1,X2,extension(X3,X2,x,w)),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3611,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3612,plain,
    ~ equidistant(extension(X1,X2,x,w),X2,X3,X3),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3613,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3614,plain,
    ~ equidistant(lower_dimension_point_2,extension(X1,lower_dimension_point_1,X2,X2),X3,X3),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3615,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3616,plain,
    ~ equidistant(X1,X1,extension(X2,lower_dimension_point_1,X3,X3),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3617,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3618,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X2,X2,X4,X4),w,x),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_3569,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3619,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3620,plain,
    extension(lower_dimension_point_1,lower_dimension_point_2,X1,X2) != extension(X3,lower_dimension_point_3,X4,X4),
    inference(scs_inference,[],[i_0_3584,i_0_3557,i_0_3559,i_0_3569,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3621,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(X5,X5,X7,X7)),
    inference(scs_inference,[],[i_0_3576,i_0_3584,i_0_3557,i_0_3559,i_0_3569,i_0_105,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97]) ).

cnf(i_0_3622,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_3623,plain,
    equidistant(extension(X1,x,X2,X2),extension(X3,v,X4,X4),extension(X5,X6,v,w),extension(X7,X6,X8,X8)),
    inference(scs_inference,[],[i_0_3576,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_76,i_0_105,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96]) ).

cnf(i_0_3624,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3625,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X8,X8),extension(X9,X7,X10,X10)),
    inference(scs_inference,[],[i_0_3576,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_1388,i_0_76,i_0_105,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99]) ).

cnf(i_0_3626,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X8,X8),extension(X7,X7,X9,X9)),
    inference(rename_variables,[],[i_0_3576]) ).

cnf(i_0_3627,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_3628,plain,
    lower_dimension_point_3 != extension(lower_dimension_point_1,lower_dimension_point_2,X1,X2),
    inference(scs_inference,[],[i_0_3576,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_1388,i_0_76,i_0_105,i_0_3622,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91]) ).

cnf(i_0_3629,plain,
    extension(X1,X2,X3,X3) = X2,
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_3630,plain,
    ~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),w,x),
    inference(scs_inference,[],[i_0_3340,i_0_3576,i_0_3626,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_1388,i_0_76,i_0_105,i_0_3622,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59]) ).

cnf(i_0_3631,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),extension(X6,X7,X8,X8),extension(X7,X7,X9,X9)),
    inference(rename_variables,[],[i_0_3576]) ).

cnf(i_0_3632,plain,
    ~ equidistant(X1,X1,w,x),
    inference(rename_variables,[],[i_0_3340]) ).

cnf(i_0_3633,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3634,plain,
    ~ equidistant(w,extension(X1,x,X2,X2),X3,X3),
    inference(scs_inference,[],[i_0_3340,i_0_3576,i_0_3626,i_0_3429,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_1388,i_0_76,i_0_105,i_0_3622,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58]) ).

cnf(i_0_3635,plain,
    equidistant(X1,extension(X2,X1,X3,X4),X4,extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_3429]) ).

cnf(i_0_3636,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X5,X6)
    | ~ equidistant(X3,X4,X5,X6) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3637,plain,
    ( ~ equidistant(lower_dimension_point_2,extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_1))
    | ~ equidistant(extension(X1,lower_dimension_point_1,X2,X2),extension(X1,lower_dimension_point_1,X2,X2),extension(X1,lower_dimension_point_1,X2,X2),extension(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_3,lower_dimension_point_1)) ),
    inference(scs_inference,[],[i_0_3340,i_0_3576,i_0_3626,i_0_1675,i_0_3429,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_2205,i_0_2096,i_0_1388,i_0_76,i_0_105,i_0_3622,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_56]) ).

cnf(i_0_3638,plain,
    equidistant(X1,extension(X2,X3,X4,X4),X5,extension(X6,X5,X1,X3)),
    inference(rename_variables,[],[i_0_1675]) ).

cnf(i_0_3639,plain,
    ~ between(extension(X1,lower_dimension_point_1,X2,X2),lower_dimension_point_2,lower_dimension_point_3),
    inference(rename_variables,[],[i_0_2096]) ).

cnf(i_0_3640,plain,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,extension(X1,lower_dimension_point_1,X2,X2)),
    inference(rename_variables,[],[i_0_167]) ).

cnf(i_0_3641,plain,
    ( X1 = X2
    | ~ equidistant(X3,X1,X3,X2)
    | between(X4,X5,X3)
    | between(X5,X3,X4)
    | ~ equidistant(X5,X1,X5,X2)
    | ~ equidistant(X4,X1,X4,X2)
    | between(X3,X4,X5) ),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_3642,plain,
    ~ equidistant(u,x,extension(X1,u,X2,X2),w),
    inference(scs_inference,[],[i_0_3340,i_0_3576,i_0_3626,i_0_1675,i_0_3429,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_3384,i_0_3333,i_0_143,i_0_78,i_0_1845,i_0_2205,i_0_2096,i_0_1388,i_0_88,i_0_76,i_0_105,i_0_3622,i_0_86,i_0_167,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_56,i_0_55]) ).

cnf(i_0_3643,plain,
    between(extension(X1,u,X2,X2),v,w),
    inference(rename_variables,[],[i_0_3384]) ).

cnf(i_0_3644,plain,
    ~ equidistant(w,x,X1,X1),
    inference(rename_variables,[],[i_0_3333]) ).

cnf(i_0_3645,plain,
    equidistant(X1,X2,extension(X3,X1,X4,X4),X2),
    inference(rename_variables,[],[i_0_1845]) ).

cnf(i_0_3646,plain,
    equidistant(X1,X2,X1,X2),
    inference(rename_variables,[],[i_0_78]) ).

cnf(i_0_3647,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | ~ between(X5,X3,X6)
    | X7 = X1
    | equidistant(X8,X2,X6,X4)
    | ~ equidistant(X7,X1,X5,X3)
    | ~ between(X7,X1,X8)
    | ~ equidistant(X7,X2,X5,X4)
    | ~ equidistant(X1,X8,X3,X6) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_3648,plain,
    between(w,w,euclid1(w,w,x,x,x)),
    inference(scs_inference,[],[i_0_87,i_0_3340,i_0_3576,i_0_3626,i_0_1675,i_0_3429,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_3384,i_0_3333,i_0_143,i_0_78,i_0_1845,i_0_2205,i_0_2096,i_0_1388,i_0_88,i_0_76,i_0_105,i_0_3622,i_0_86,i_0_167,i_0_120,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_56,i_0_55,i_0_51]) ).

cnf(i_0_3649,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3650,plain,
    ( ~ between(X1,X2,X3)
    | X1 = X2
    | ~ between(X4,X2,X5)
    | between(X1,X4,euclid1(X1,X4,X2,X5,X3)) ),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_3651,plain,
    between(w,x,euclid2(w,w,x,x,x)),
    inference(scs_inference,[],[i_0_87,i_0_3340,i_0_3576,i_0_3626,i_0_1675,i_0_3429,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_3384,i_0_3333,i_0_143,i_0_78,i_0_1845,i_0_2205,i_0_2096,i_0_1388,i_0_88,i_0_76,i_0_105,i_0_3622,i_0_86,i_0_167,i_0_120,i_0_3649,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_56,i_0_55,i_0_51,i_0_52]) ).

cnf(i_0_3652,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3653,plain,
    ( ~ between(X1,X2,X3)
    | X1 = X2
    | ~ between(X4,X2,X5)
    | between(X1,X5,euclid2(X1,X4,X2,X5,X3)) ),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_3654,plain,
    between(euclid1(w,w,x,x,x),x,euclid2(w,w,x,x,x)),
    inference(scs_inference,[],[i_0_87,i_0_3340,i_0_3576,i_0_3626,i_0_1675,i_0_3429,i_0_3584,i_0_3557,i_0_3559,i_0_3589,i_0_3569,i_0_3384,i_0_3333,i_0_143,i_0_78,i_0_1845,i_0_2205,i_0_2096,i_0_1388,i_0_88,i_0_76,i_0_105,i_0_3622,i_0_86,i_0_167,i_0_120,i_0_3649,i_0_3652,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_96,i_0_99,i_0_91,i_0_59,i_0_58,i_0_56,i_0_55,i_0_51,i_0_52,i_0_50]) ).

cnf(i_0_3655,plain,
    between(X1,X2,X2),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_3656,plain,
    ( ~ between(X1,X2,X3)
    | X1 = X2
    | ~ between(X4,X2,X5)
    | between(euclid1(X1,X4,X2,X5,X3),X3,euclid2(X1,X4,X2,X5,X3)) ),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_3657,plain,
    ~ between(lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_3398,i_0_81]) ).

cnf(i_0_3658,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3659,plain,
    lower_dimension_point_1 != extension(lower_dimension_point_2,lower_dimension_point_3,X1,X2),
    inference(scs_inference,[],[i_0_3398,i_0_83,i_0_81,i_0_71]) ).

cnf(i_0_3660,plain,
    ( between(X1,X2,X3)
    | X3 != extension(X1,X2,X4,X5) ),
    inference(rename_variables,[],[i_0_71]) ).

cnf(i_0_3661,plain,
    ~ equidistant(lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),X1,X1),
    inference(scs_inference,[],[i_0_3398,i_0_83,i_0_81,i_0_71,i_0_73]) ).

cnf(i_0_3662,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3663,plain,
    ~ equidistant(X1,X1,extension(lower_dimension_point_1,lower_dimension_point_2,X2,X3),extension(X4,lower_dimension_point_3,X5,X5)),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68]) ).

cnf(i_0_3664,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3665,plain,
    ~ equidistant(X1,X1,extension(X2,x,X3,X3),w),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3666,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3667,plain,
    ~ equidistant(X1,X1,extension(X2,lower_dimension_point_3,X3,X3),extension(lower_dimension_point_1,lower_dimension_point_2,X4,X5)),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3668,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3669,plain,
    ~ equidistant(extension(lower_dimension_point_1,lower_dimension_point_2,X1,X2),extension(X3,lower_dimension_point_3,X4,X4),X5,X5),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3670,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3671,plain,
    ~ equidistant(extension(X1,x,X2,X2),w,X3,X3),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3672,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3673,plain,
    ~ equidistant(X1,X1,w,extension(X2,x,X3,X3)),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3674,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3675,plain,
    ~ equidistant(X1,extension(X2,X1,X3,X3),lower_dimension_point_2,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_3580,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3676,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3677,plain,
    extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2) != lower_dimension_point_2,
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_3580,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3678,plain,
    equidistant(x,extension(X1,v,X2,X2),extension(X3,X4,X5,X5),extension(X6,X4,w,v)),
    inference(scs_inference,[],[i_0_3398,i_0_3604,i_0_3634,i_0_3580,i_0_3539,i_0_76,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97]) ).

cnf(i_0_3679,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3680,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(X7,X5,X8,X8)),
    inference(scs_inference,[],[i_0_3621,i_0_3398,i_0_3604,i_0_3634,i_0_3580,i_0_3539,i_0_1388,i_0_76,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99]) ).

cnf(i_0_3681,plain,
    extension(X1,X2,X3,X3) = extension(X4,X2,X5,X5),
    inference(rename_variables,[],[i_0_1388]) ).

cnf(i_0_3682,plain,
    extension(X1,lower_dimension_point_2,X2,X2) != extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),
    inference(scs_inference,[],[i_0_3621,i_0_3398,i_0_3604,i_0_3634,i_0_3580,i_0_3539,i_0_1388,i_0_76,i_0_3679,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99,i_0_91]) ).

cnf(i_0_3683,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3684,plain,
    ~ equidistant(extension(X1,X2,X3,X3),X2,lower_dimension_point_2,lower_dimension_point_1),
    inference(scs_inference,[],[i_0_3463,i_0_3621,i_0_3398,i_0_3604,i_0_3634,i_0_3580,i_0_3539,i_0_1388,i_0_76,i_0_3679,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99,i_0_91,i_0_59]) ).

cnf(i_0_3685,plain,
    ~ equidistant(X1,X1,lower_dimension_point_2,lower_dimension_point_1),
    inference(rename_variables,[],[i_0_3463]) ).

cnf(i_0_3686,plain,
    equidistant(extension(X1,X2,X3,X3),X2,extension(X4,X5,X6,X6),extension(X5,X5,X7,X7)),
    inference(rename_variables,[],[i_0_3621]) ).

cnf(i_0_3687,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X1,X2)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3688,plain,
    ~ equidistant(extension(X1,x,X2,X2),w,extension(X3,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_3463,i_0_3621,i_0_2401,i_0_3398,i_0_3604,i_0_3379,i_0_3634,i_0_3580,i_0_3539,i_0_1388,i_0_76,i_0_3679,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99,i_0_91,i_0_59,i_0_58]) ).

cnf(i_0_3689,plain,
    ~ equidistant(extension(X1,w,X2,X2),x,extension(X3,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_3379]) ).

cnf(i_0_3690,plain,
    equidistant(extension(X1,X2,X3,X3),X4,extension(X5,X4,X6,X6),X2),
    inference(rename_variables,[],[i_0_2401]) ).

cnf(i_0_3691,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3692,plain,
    equidistant(extension(X1,x,X2,X2),v,extension(X3,X4,X5,X5),extension(X6,X4,w,v)),
    inference(scs_inference,[],[i_0_3463,i_0_3621,i_0_2401,i_0_3398,i_0_3604,i_0_3379,i_0_3634,i_0_3580,i_0_3539,i_0_1388,i_0_76,i_0_3679,i_0_3683,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99,i_0_91,i_0_59,i_0_58,i_0_96]) ).

cnf(i_0_3693,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3694,plain,
    between(extension(X1,u,X2,X2),u,euclid1(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_3463,i_0_3621,i_0_2401,i_0_3398,i_0_3362,i_0_3604,i_0_3379,i_0_3634,i_0_3580,i_0_3539,i_0_1388,i_0_76,i_0_3679,i_0_3683,i_0_3693,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99,i_0_91,i_0_59,i_0_58,i_0_96,i_0_100]) ).

cnf(i_0_3695,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3696,plain,
    ( ~ equidistant(u,euclid1(u,u,v,w,w),extension(X1,u,X2,X2),extension(X3,u,X4,X4))
    | equidistant(u,euclid1(u,u,v,w,w),extension(X5,u,X6,X6),extension(X3,u,X4,X4)) ),
    inference(scs_inference,[],[i_0_3463,i_0_3621,i_0_2401,i_0_3165,i_0_3398,i_0_3362,i_0_3604,i_0_3379,i_0_3634,i_0_3580,i_0_3539,i_0_2324,i_0_1388,i_0_76,i_0_3679,i_0_3683,i_0_3693,i_0_83,i_0_81,i_0_71,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_97,i_0_99,i_0_91,i_0_59,i_0_58,i_0_96,i_0_100,i_0_57]) ).

cnf(i_0_3697,plain,
    equidistant(X1,X2,extension(X3,X1,X4,X4),extension(X5,X2,X6,X6)),
    inference(rename_variables,[],[i_0_3165]) ).

cnf(i_0_3698,plain,
    between(X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_2324]) ).

cnf(i_0_3699,plain,
    ( ~ between(X1,X2,X3)
    | equidistant(X1,X3,X4,X5)
    | ~ equidistant(X1,X2,X4,X6)
    | ~ between(X4,X6,X5)
    | ~ equidistant(X2,X3,X6,X5) ),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_3700,plain,
    ~ between(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_3453,i_0_81]) ).

cnf(i_0_3701,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3702,plain,
    ~ equidistant(lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),X1,X1),
    inference(scs_inference,[],[i_0_3453,i_0_81,i_0_73]) ).

cnf(i_0_3703,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3704,plain,
    ~ equidistant(X1,X1,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_81,i_0_73,i_0_68]) ).

cnf(i_0_3705,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3706,plain,
    ~ equidistant(extension(X1,X1,X2,X2),extension(X3,X1,X4,X4),w,extension(X5,x,X6,X6)),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3707,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3708,plain,
    ~ equidistant(X1,X1,lower_dimension_point_2,extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2)),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3709,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3710,plain,
    ~ equidistant(extension(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2),lower_dimension_point_2,X1,X1),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3711,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3712,plain,
    ~ equidistant(w,extension(X1,x,X2,X2),extension(X3,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3713,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3714,plain,
    ~ equidistant(extension(X1,X1,X2,X2),extension(X3,X1,X4,X4),extension(X5,x,X6,X6),w),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3715,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3716,plain,
    ~ equidistant(extension(X1,x,X2,X2),w,extension(X3,X4,X5,X5),extension(X4,X4,X6,X6)),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3717,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3718,plain,
    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_3453,i_0_3661,i_0_3688,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3719,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X2,v,w),extension(X5,v,X6,X6),extension(X7,x,X8,X8)),
    inference(scs_inference,[],[i_0_3453,i_0_3661,i_0_3688,i_0_3591,i_0_76,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_99]) ).

cnf(i_0_3720,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3721,plain,
    equidistant(extension(X1,X2,X3,X3),extension(X4,X5,X6,X6),extension(X7,X8,X2,X5),X8),
    inference(scs_inference,[],[i_0_1632,i_0_3453,i_0_3661,i_0_3688,i_0_3591,i_0_76,i_0_3720,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_99,i_0_96]) ).

cnf(i_0_3722,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3723,plain,
    ~ equidistant(x,extension(X1,w,X2,X2),X3,X3),
    inference(scs_inference,[],[i_0_1632,i_0_3453,i_0_3612,i_0_3661,i_0_3688,i_0_3591,i_0_76,i_0_3720,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_99,i_0_96,i_0_59]) ).

cnf(i_0_3724,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X1,X3),X6),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_3725,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X3,X4,X5,X6)
    | ~ equidistant(X1,X2,X5,X6) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3726,plain,
    ~ equidistant(extension(X1,X2,w,x),X2,X3,X3),
    inference(scs_inference,[],[i_0_1632,i_0_3163,i_0_3453,i_0_3612,i_0_3661,i_0_3688,i_0_3591,i_0_76,i_0_3720,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_99,i_0_96,i_0_59,i_0_58]) ).

cnf(i_0_3727,plain,
    equidistant(extension(X1,X2,X3,X4),X2,extension(X5,X6,X4,X3),X6),
    inference(rename_variables,[],[i_0_3163]) ).

cnf(i_0_3728,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | equidistant(X1,X2,X5,X6)
    | ~ equidistant(X3,X4,X5,X6) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3729,plain,
    between(euclid1(u,u,v,x,x),extension(X1,x,X2,X2),euclid2(u,u,v,x,x)),
    inference(scs_inference,[],[i_0_1632,i_0_3163,i_0_3453,i_0_3444,i_0_3612,i_0_3661,i_0_3688,i_0_3591,i_0_76,i_0_3720,i_0_3722,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_99,i_0_96,i_0_59,i_0_58,i_0_101]) ).

cnf(i_0_3730,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3731,plain,
    ( ~ equidistant(extension(X1,X2,X3,X3),extension(X4,X2,X5,X5),u,euclid1(u,u,v,w,w))
    | equidistant(X2,extension(X4,X2,X5,X5),extension(X6,u,X2,X2),euclid1(u,u,v,w,w)) ),
    inference(scs_inference,[],[i_0_1632,i_0_3724,i_0_3163,i_0_3453,i_0_3444,i_0_3612,i_0_3661,i_0_3688,i_0_3591,i_0_3694,i_0_2324,i_0_76,i_0_3720,i_0_3722,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_99,i_0_96,i_0_59,i_0_58,i_0_101,i_0_57]) ).

cnf(i_0_3732,plain,
    equidistant(X1,extension(X2,X3,X4,X4),extension(X5,X6,X1,X3),X6),
    inference(rename_variables,[],[i_0_1632]) ).

cnf(i_0_3733,plain,
    between(extension(X1,u,X2,X2),u,euclid1(u,u,v,w,w)),
    inference(rename_variables,[],[i_0_3694]) ).

cnf(i_0_3734,plain,
    between(X1,extension(X2,X3,X4,X4),extension(X5,X3,X6,X6)),
    inference(rename_variables,[],[i_0_2324]) ).

cnf(i_0_3735,plain,
    ( ~ equidistant(X1,X2,X3,X4)
    | ~ between(X3,X4,X5)
    | equidistant(X1,X6,X3,X5)
    | ~ between(X1,X2,X6)
    | ~ equidistant(X2,X6,X4,X5) ),
    inference(rename_variables,[],[i_0_57]) ).

cnf(i_0_3736,plain,
    ~ between(x,extension(w,x,w,x),x),
    inference(scs_inference,[],[i_0_3507,i_0_81]) ).

cnf(i_0_3737,plain,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_3738,plain,
    ~ equidistant(x,extension(w,x,w,x),X1,X1),
    inference(scs_inference,[],[i_0_3507,i_0_81,i_0_73]) ).

cnf(i_0_3739,plain,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_3740,plain,
    ~ equidistant(X1,X1,X2,extension(X3,X2,w,x)),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_81,i_0_73,i_0_68]) ).

cnf(i_0_3741,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X2,X1) ),
    inference(rename_variables,[],[i_0_68]) ).

cnf(i_0_3742,plain,
    ~ equidistant(X1,X1,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_3507,i_0_3726,i_0_3702,i_0_81,i_0_73,i_0_68,i_0_67]) ).

cnf(i_0_3743,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X2,X1) ),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_3744,plain,
    ~ equidistant(X1,X1,extension(X2,X3,w,x),X3),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66]) ).

cnf(i_0_3745,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X4,X3,X1,X2) ),
    inference(rename_variables,[],[i_0_66]) ).

cnf(i_0_3746,plain,
    ~ equidistant(X1,extension(X2,X1,w,x),X3,X3),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64]) ).

cnf(i_0_3747,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X4,X3) ),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_3748,plain,
    ~ equidistant(extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1),lower_dimension_point_1,X1,X1),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63]) ).

cnf(i_0_3749,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X1,X3,X4) ),
    inference(rename_variables,[],[i_0_63]) ).

cnf(i_0_3750,plain,
    ~ equidistant(X1,X1,lower_dimension_point_1,extension(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_1)),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65]) ).

cnf(i_0_3751,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X3,X4,X1,X2) ),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_3752,plain,
    ~ equidistant(w,extension(X1,x,X2,X2),extension(X3,X4,X5,X5),extension(X4,X4,X6,X6)),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_3712,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62]) ).

cnf(i_0_3753,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X4,X3) ),
    inference(rename_variables,[],[i_0_62]) ).

cnf(i_0_3754,plain,
    extension(w,x,w,x) != x,
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_3712,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90]) ).

cnf(i_0_3755,plain,
    equidistant(extension(X1,x,X2,X2),extension(X3,v,X4,X4),extension(X5,X6,X7,X7),extension(X8,X6,w,v)),
    inference(scs_inference,[],[i_0_3507,i_0_3726,i_0_3702,i_0_3712,i_0_3678,i_0_76,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96]) ).

cnf(i_0_3756,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3757,plain,
    ~ equidistant(X1,extension(X2,X1,X3,X3),extension(X4,X5,x,w),X5),
    inference(scs_inference,[],[i_0_2510,i_0_3507,i_0_3606,i_0_3726,i_0_3702,i_0_3712,i_0_3678,i_0_76,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_59]) ).

cnf(i_0_3758,plain,
    ~ equidistant(X1,X1,extension(X2,X3,x,w),X3),
    inference(rename_variables,[],[i_0_3606]) ).

cnf(i_0_3759,plain,
    equidistant(X1,extension(X2,X1,X3,X4),extension(X5,X6,X7,X7),extension(X8,X6,X3,X4)),
    inference(rename_variables,[],[i_0_2510]) ).

cnf(i_0_3760,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X5,X6,X1,X2)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_3761,plain,
    ~ equidistant(X1,extension(X2,X1,X3,X3),X4,extension(X5,X4,x,w)),
    inference(scs_inference,[],[i_0_2510,i_0_2595,i_0_3507,i_0_3606,i_0_3610,i_0_3726,i_0_3702,i_0_3712,i_0_3678,i_0_76,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_59,i_0_58]) ).

cnf(i_0_3762,plain,
    ~ equidistant(X1,X1,X2,extension(X3,X2,x,w)),
    inference(rename_variables,[],[i_0_3610]) ).

cnf(i_0_3763,plain,
    equidistant(extension(X1,X2,X3,X4),extension(X5,X2,X6,X6),X7,extension(X8,X7,X3,X4)),
    inference(rename_variables,[],[i_0_2595]) ).

cnf(i_0_3764,plain,
    ( equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X2,X5,X6)
    | ~ equidistant(X5,X6,X3,X4) ),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_3765,plain,
    between(u,extension(X1,w,X2,X2),euclid2(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_2510,i_0_2595,i_0_3507,i_0_3364,i_0_3606,i_0_3610,i_0_3726,i_0_3702,i_0_3712,i_0_3678,i_0_76,i_0_3756,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_59,i_0_58,i_0_101]) ).

cnf(i_0_3766,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3767,plain,
    between(extension(X1,u,X2,X2),w,euclid2(u,u,v,w,w)),
    inference(scs_inference,[],[i_0_2510,i_0_2595,i_0_3507,i_0_3364,i_0_3606,i_0_3610,i_0_3726,i_0_3702,i_0_3712,i_0_3678,i_0_76,i_0_3756,i_0_3766,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_59,i_0_58,i_0_101,i_0_100]) ).

cnf(i_0_3768,plain,
    X1 = extension(X2,X1,X3,X3),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_3769,plain,
    $false,
    inference(scs_inference,[],[i_0_2510,i_0_2595,i_0_3507,i_0_3364,i_0_3606,i_0_3610,i_0_3726,i_0_3702,i_0_3712,i_0_3678,i_0_3642,i_0_3384,i_0_143,i_0_1845,i_0_76,i_0_3756,i_0_3766,i_0_85,i_0_81,i_0_73,i_0_68,i_0_67,i_0_66,i_0_64,i_0_63,i_0_65,i_0_62,i_0_90,i_0_96,i_0_59,i_0_58,i_0_101,i_0_100,i_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO026-3 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n022.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 17:37:36 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 51.55/26.68  % Version  : CSE_E---1.7
% 51.55/26.68  % Problem  : theBenchmark.p
% 51.55/26.68  % SZS status Unsatisfiable for theBenchmark.p
% 51.55/26.68  % SZS output start CNFRefutation
% See solution above
% 56.26/31.42  % Total time : 26.336s
%------------------------------------------------------------------------------