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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n006.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 04:48:25 PM UTC 2026

% Result   : Theorem 0.34s 1.61s
% Output   : CNFRefutation 0.94s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 132)

% Comments : 
%------------------------------------------------------------------------------
fof(no_false_compatible,conjecture,
    ? [X1] :
      ( in_closed(X1,n0,n10)
      & in_closed(X1,n5,n10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_compatible) ).

fof(irreflexive,axiom,
    ! [X1] : ~ less(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',irreflexive) ).

fof(in_box3,axiom,
    ! [X13,X14,X19,X15,X16,X17,X18,X20,X21] :
      ( in_box3(X13,X14,X19,X15,X16,X17,X18,X20,X21)
    <=> ( in_closed(X13,X15,X16)
        & in_closed(X14,X17,X18)
        & in_closed(X19,X20,X21) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',in_box3) ).

fof(box2_conflict,axiom,
    ! [X15,X16,X17,X18,X22,X23,X24,X25] :
      ( box2_conflict(X15,X16,X17,X18,X22,X23,X24,X25)
    <=> ( axis_conflict(X15,X16,X22,X23)
        | axis_conflict(X17,X18,X24,X25) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',box2_conflict) ).

fof(box2_overlap,axiom,
    ! [X15,X16,X17,X18,X22,X23,X24,X25] :
      ( box2_compatible(X15,X16,X17,X18,X22,X23,X24,X25)
    <=> ( axis_compatible(X15,X16,X22,X23)
        & axis_compatible(X17,X18,X24,X25) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',box2_overlap) ).

fof(in_box2,axiom,
    ! [X13,X14,X15,X16,X17,X18] :
      ( in_box2(X13,X14,X15,X16,X17,X18)
    <=> ( in_closed(X13,X15,X16)
        & in_closed(X14,X17,X18) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',in_box2) ).

fof(axis_subsumes_def,axiom,
    ! [X6,X7,X8,X9] :
      ( axis_subsumes(X6,X7,X8,X9)
    <=> ! [X1] :
          ( in_closed(X1,X6,X7)
         => in_closed(X1,X8,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_subsumes_def) ).

fof(axis_compatible_def,axiom,
    ! [X6,X7,X8,X9] :
      ( axis_compatible(X6,X7,X8,X9)
    <=> ? [X1] :
          ( in_closed(X1,X6,X7)
          & in_closed(X1,X8,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_compatible_def) ).

fof(axis_conflict_def,axiom,
    ! [X6,X7,X8,X9] :
      ( axis_conflict(X6,X7,X8,X9)
    <=> ~ ? [X1] :
            ( in_closed(X1,X6,X7)
            & in_closed(X1,X8,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_conflict_def) ).

fof(shape_ropen,axiom,
    ! [X1,X4,X5] :
      ( in_ropen(X1,X4,X5)
    <=> ( leq(X4,X1)
        & less(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_ropen) ).

fof(in_ropen,axiom,
    ! [X1,X4,X5] :
      ( in_ropen(X1,X4,X5)
    <=> ( leq(X4,X1)
        & less(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_ropen) ).

fof(shape_lopen,axiom,
    ! [X1,X4,X5] :
      ( in_lopen(X1,X4,X5)
    <=> ( less(X4,X1)
        & leq(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_lopen) ).

fof(in_lopen,axiom,
    ! [X1,X4,X5] :
      ( in_lopen(X1,X4,X5)
    <=> ( less(X4,X1)
        & leq(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_lopen) ).

fof(shape_closed,axiom,
    ! [X1,X4,X5] :
      ( in_closed(X1,X4,X5)
    <=> ( leq(X4,X1)
        & leq(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_closed) ).

fof(in_closed,axiom,
    ! [X1,X4,X5] :
      ( in_closed(X1,X4,X5)
    <=> ( leq(X4,X1)
        & leq(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_closed) ).

fof(shape_open,axiom,
    ! [X1,X4,X5] :
      ( in_open(X1,X4,X5)
    <=> ( less(X4,X1)
        & less(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_open) ).

fof(in_open,axiom,
    ! [X1,X4,X5] :
      ( in_open(X1,X4,X5)
    <=> ( less(X4,X1)
        & less(X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',in_open) ).

fof(shape_point,axiom,
    ! [X1,X10] :
      ( in_closed(X1,X10,X10)
    <=> X1 = X10 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+6.ax',shape_point) ).

fof(leq_trans,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_trans) ).

fof(less_leq_trans,axiom,
    ! [X1,X2,X3] :
      ( ( less(X1,X2)
        & leq(X2,X3) )
     => less(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_leq_trans) ).

fof(leq_less_trans,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & less(X2,X3) )
     => less(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_less_trans) ).

fof(transitive,axiom,
    ! [X1,X2,X3] :
      ( ( less(X1,X2)
        & less(X2,X3) )
     => less(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',transitive) ).

fof(box_verdict_total,axiom,
    ! [X11,X12] :
      ( ( is_verdict(X11)
        & is_verdict(X12) )
     => ( box_verdict(X11,X12) = conflict
        | box_verdict(X11,X12) = compatible
        | box_verdict(X11,X12) = unknown ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_verdict_total) ).

fof(leq_antisym,axiom,
    ! [X1,X2] :
      ( ( leq(X1,X2)
        & leq(X2,X1) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).

fof(leq_def,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> ( less(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',leq_def) ).

fof(less_implies_leq,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',less_implies_leq) ).

fof(box_unknown,axiom,
    ! [X11,X12] :
      ( ( is_verdict(X11)
        & is_verdict(X12)
        & ( X11 = unknown
          | X12 = unknown )
        & X11 != conflict
        & X12 != conflict )
     => box_verdict(X11,X12) = unknown ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_unknown) ).

fof(box_compatible,axiom,
    ! [X11,X12] :
      ( ( is_verdict(X11)
        & is_verdict(X12)
        & X11 = compatible
        & X12 = compatible )
     => box_verdict(X11,X12) = compatible ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_compatible) ).

fof(box_conflict,axiom,
    ! [X11,X12] :
      ( ( is_verdict(X11)
        & is_verdict(X12)
        & ( X11 = conflict
          | X12 = conflict ) )
     => box_verdict(X11,X12) = conflict ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',box_conflict) ).

fof(trichotomy,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
      | X1 = X2
      | less(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',trichotomy) ).

fof(verdict_enum,axiom,
    ! [X10] :
      ( is_verdict(X10)
     => ( X10 = conflict
        | X10 = compatible
        | X10 = unknown ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdict_enum) ).

fof(compatible_hyp,hypothesis,
    axis_compatible(n0,n10,n5,n10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible_hyp) ).

fof(order_5_10,hypothesis,
    less(n5,n10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_5_10) ).

fof(order_0_5,hypothesis,
    less(n0,n5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_0_5) ).

fof(unknown_is_verdict,axiom,
    is_verdict(unknown),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',unknown_is_verdict) ).

fof(compatible_is_verdict,axiom,
    is_verdict(compatible),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',compatible_is_verdict) ).

fof(conflict_is_verdict,axiom,
    is_verdict(conflict),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',conflict_is_verdict) ).

fof(verdicts_distinct_cp_un,axiom,
    compatible != unknown,
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cp_un) ).

fof(verdicts_distinct_cf_un,axiom,
    conflict != unknown,
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cf_un) ).

fof(verdicts_distinct_cf_cp,axiom,
    conflict != compatible,
    file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cf_cp) ).

fof(i_0_40,negated_conjecture,
    ~ ? [X1] :
        ( in_closed(X1,n0,n10)
        & in_closed(X1,n5,n10) ),
    inference(assume_negation,[status(cth)],[no_false_compatible]) ).

fof(i_0_41,plain,
    ! [X1] : ~ less(X1,X1),
    inference(fof_simplification,[status(thm)],[irreflexive]) ).

fof(i_0_42,plain,
    ! [X207,X208,X209,X210,X211,X212,X213,X214,X215] :
      ( ( in_closed(X207,X210,X211)
        | ~ in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) )
      & ( in_closed(X208,X212,X213)
        | ~ in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) )
      & ( in_closed(X209,X214,X215)
        | ~ in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) )
      & ( ~ in_closed(X207,X210,X211)
        | ~ in_closed(X208,X212,X213)
        | ~ in_closed(X209,X214,X215)
        | in_box3(X207,X208,X209,X210,X211,X212,X213,X214,X215) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_box3])])]) ).

fof(i_0_43,plain,
    ! [X224,X225,X226,X227,X228,X229,X230,X231] :
      ( ( ~ box2_conflict(X224,X225,X226,X227,X228,X229,X230,X231)
        | axis_conflict(X224,X225,X228,X229)
        | axis_conflict(X226,X227,X230,X231) )
      & ( ~ axis_conflict(X224,X225,X228,X229)
        | box2_conflict(X224,X225,X226,X227,X228,X229,X230,X231) )
      & ( ~ axis_conflict(X226,X227,X230,X231)
        | box2_conflict(X224,X225,X226,X227,X228,X229,X230,X231) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box2_conflict])])]) ).

fof(i_0_44,plain,
    ! [X216,X217,X218,X219,X220,X221,X222,X223] :
      ( ( axis_compatible(X216,X217,X220,X221)
        | ~ box2_compatible(X216,X217,X218,X219,X220,X221,X222,X223) )
      & ( axis_compatible(X218,X219,X222,X223)
        | ~ box2_compatible(X216,X217,X218,X219,X220,X221,X222,X223) )
      & ( ~ axis_compatible(X216,X217,X220,X221)
        | ~ axis_compatible(X218,X219,X222,X223)
        | box2_compatible(X216,X217,X218,X219,X220,X221,X222,X223) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box2_overlap])])]) ).

fof(i_0_45,plain,
    ! [X201,X202,X203,X204,X205,X206] :
      ( ( in_closed(X201,X203,X204)
        | ~ in_box2(X201,X202,X203,X204,X205,X206) )
      & ( in_closed(X202,X205,X206)
        | ~ in_box2(X201,X202,X203,X204,X205,X206) )
      & ( ~ in_closed(X201,X203,X204)
        | ~ in_closed(X202,X205,X206)
        | in_box2(X201,X202,X203,X204,X205,X206) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_box2])])]) ).

fof(i_0_46,plain,
    ! [X182,X183,X184,X185,X186,X187,X188,X189,X190] :
      ( ( ~ axis_subsumes(X182,X183,X184,X185)
        | ~ in_closed(X186,X182,X183)
        | in_closed(X186,X184,X185) )
      & ( in_closed(esk3_4(X187,X188,X189,X190),X187,X188)
        | axis_subsumes(X187,X188,X189,X190) )
      & ( ~ in_closed(esk3_4(X187,X188,X189,X190),X189,X190)
        | axis_subsumes(X187,X188,X189,X190) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axis_subsumes_def])])])])])]) ).

fof(i_0_47,plain,
    ! [X172,X173,X174,X175,X177,X178,X179,X180,X181] :
      ( ( in_closed(esk2_4(X172,X173,X174,X175),X172,X173)
        | ~ axis_compatible(X172,X173,X174,X175) )
      & ( in_closed(esk2_4(X172,X173,X174,X175),X174,X175)
        | ~ axis_compatible(X172,X173,X174,X175) )
      & ( ~ in_closed(X181,X177,X178)
        | ~ in_closed(X181,X179,X180)
        | axis_compatible(X177,X178,X179,X180) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axis_compatible_def])])])])])]) ).

fof(i_0_48,plain,
    ! [X162,X163,X164,X165,X166,X167,X168,X169,X170] :
      ( ( ~ axis_conflict(X162,X163,X164,X165)
        | ~ in_closed(X166,X162,X163)
        | ~ in_closed(X166,X164,X165) )
      & ( in_closed(esk1_4(X167,X168,X169,X170),X167,X168)
        | axis_conflict(X167,X168,X169,X170) )
      & ( in_closed(esk1_4(X167,X168,X169,X170),X169,X170)
        | axis_conflict(X167,X168,X169,X170) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axis_conflict_def])])])])])]) ).

fof(i_0_49,negated_conjecture,
    ! [X246] :
      ( ~ in_closed(X246,n0,n10)
      | ~ in_closed(X246,n5,n10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])]) ).

fof(i_0_50,plain,
    ! [X237,X238,X239] :
      ( ( leq(X238,X237)
        | ~ in_ropen(X237,X238,X239) )
      & ( less(X237,X239)
        | ~ in_ropen(X237,X238,X239) )
      & ( ~ leq(X238,X237)
        | ~ less(X237,X239)
        | in_ropen(X237,X238,X239) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_ropen])])]) ).

fof(i_0_51,plain,
    ! [X156,X157,X158] :
      ( ( leq(X157,X156)
        | ~ in_ropen(X156,X157,X158) )
      & ( less(X156,X158)
        | ~ in_ropen(X156,X157,X158) )
      & ( ~ leq(X157,X156)
        | ~ less(X156,X158)
        | in_ropen(X156,X157,X158) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_ropen])])]) ).

fof(i_0_52,plain,
    ! [X240,X241,X242] :
      ( ( less(X241,X240)
        | ~ in_lopen(X240,X241,X242) )
      & ( leq(X240,X242)
        | ~ in_lopen(X240,X241,X242) )
      & ( ~ less(X241,X240)
        | ~ leq(X240,X242)
        | in_lopen(X240,X241,X242) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_lopen])])]) ).

fof(i_0_53,plain,
    ! [X153,X154,X155] :
      ( ( less(X154,X153)
        | ~ in_lopen(X153,X154,X155) )
      & ( leq(X153,X155)
        | ~ in_lopen(X153,X154,X155) )
      & ( ~ less(X154,X153)
        | ~ leq(X153,X155)
        | in_lopen(X153,X154,X155) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])]) ).

fof(i_0_54,plain,
    ! [X234,X235,X236] :
      ( ( leq(X235,X234)
        | ~ in_closed(X234,X235,X236) )
      & ( leq(X234,X236)
        | ~ in_closed(X234,X235,X236) )
      & ( ~ leq(X235,X234)
        | ~ leq(X234,X236)
        | in_closed(X234,X235,X236) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_closed])])]) ).

fof(i_0_55,plain,
    ! [X150,X151,X152] :
      ( ( leq(X151,X150)
        | ~ in_closed(X150,X151,X152) )
      & ( leq(X150,X152)
        | ~ in_closed(X150,X151,X152) )
      & ( ~ leq(X151,X150)
        | ~ leq(X150,X152)
        | in_closed(X150,X151,X152) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])]) ).

fof(i_0_56,plain,
    ! [X243,X244,X245] :
      ( ( less(X244,X243)
        | ~ in_open(X243,X244,X245) )
      & ( less(X243,X245)
        | ~ in_open(X243,X244,X245) )
      & ( ~ less(X244,X243)
        | ~ less(X243,X245)
        | in_open(X243,X244,X245) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_open])])]) ).

fof(i_0_57,plain,
    ! [X159,X160,X161] :
      ( ( less(X160,X159)
        | ~ in_open(X159,X160,X161) )
      & ( less(X159,X161)
        | ~ in_open(X159,X160,X161) )
      & ( ~ less(X160,X159)
        | ~ less(X159,X161)
        | in_open(X159,X160,X161) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_open])])]) ).

fof(i_0_58,plain,
    ! [X232,X233] :
      ( ( ~ in_closed(X232,X233,X233)
        | X232 = X233 )
      & ( X232 != X233
        | in_closed(X232,X233,X233) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shape_point])]) ).

fof(i_0_59,plain,
    ! [X147,X148,X149] :
      ( ~ leq(X147,X148)
      | ~ leq(X148,X149)
      | leq(X147,X149) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_trans])]) ).

fof(i_0_60,plain,
    ! [X144,X145,X146] :
      ( ~ less(X144,X145)
      | ~ leq(X145,X146)
      | less(X144,X146) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_leq_trans])]) ).

fof(i_0_61,plain,
    ! [X141,X142,X143] :
      ( ~ leq(X141,X142)
      | ~ less(X142,X143)
      | less(X141,X143) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_less_trans])]) ).

fof(i_0_62,plain,
    ! [X130,X131,X132] :
      ( ~ less(X130,X131)
      | ~ less(X131,X132)
      | less(X130,X132) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitive])]) ).

fof(i_0_63,plain,
    ! [X199,X200] :
      ( ~ is_verdict(X199)
      | ~ is_verdict(X200)
      | box_verdict(X199,X200) = conflict
      | box_verdict(X199,X200) = compatible
      | box_verdict(X199,X200) = unknown ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_verdict_total])]) ).

fof(i_0_64,plain,
    ! [X137,X138] :
      ( ~ leq(X137,X138)
      | ~ leq(X138,X137)
      | X137 = X138 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])]) ).

fof(i_0_65,plain,
    ! [X135,X136] :
      ( ( ~ leq(X135,X136)
        | less(X135,X136)
        | X135 = X136 )
      & ( ~ less(X135,X136)
        | leq(X135,X136) )
      & ( X135 != X136
        | leq(X135,X136) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])]) ).

fof(i_0_66,plain,
    ! [X139,X140] :
      ( ~ less(X139,X140)
      | leq(X139,X140) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_implies_leq])]) ).

fof(i_0_67,plain,
    ! [X197,X198] :
      ( ( X197 != unknown
        | ~ is_verdict(X197)
        | ~ is_verdict(X198)
        | X197 = conflict
        | X198 = conflict
        | box_verdict(X197,X198) = unknown )
      & ( X198 != unknown
        | ~ is_verdict(X197)
        | ~ is_verdict(X198)
        | X197 = conflict
        | X198 = conflict
        | box_verdict(X197,X198) = unknown ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_unknown])])]) ).

fof(i_0_68,plain,
    ! [X195,X196] :
      ( ~ is_verdict(X195)
      | ~ is_verdict(X196)
      | X195 != compatible
      | X196 != compatible
      | box_verdict(X195,X196) = compatible ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_compatible])]) ).

fof(i_0_69,plain,
    ! [X193,X194] :
      ( ( X193 != conflict
        | ~ is_verdict(X193)
        | ~ is_verdict(X194)
        | box_verdict(X193,X194) = conflict )
      & ( X194 != conflict
        | ~ is_verdict(X193)
        | ~ is_verdict(X194)
        | box_verdict(X193,X194) = conflict ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_conflict])])]) ).

fof(i_0_70,plain,
    ! [X133,X134] :
      ( less(X133,X134)
      | X133 = X134
      | less(X134,X133) ),
    inference(variable_rename,[status(thm)],[trichotomy]) ).

fof(i_0_71,plain,
    ! [X129] : ~ less(X129,X129),
    inference(variable_rename,[status(thm)],[i_0_41]) ).

fof(i_0_72,plain,
    ! [X192] :
      ( ~ is_verdict(X192)
      | X192 = conflict
      | X192 = compatible
      | X192 = unknown ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[verdict_enum])]) ).

cnf(i_0_73,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X1,X4,X5,X2,X3,X6,X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_74,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X1,X5,X6,X7,X2,X3,X8,X9) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_75,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X5,X1,X6,X7,X8,X9,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_76,plain,
    ( in_box3(X1,X4,X7,X2,X3,X5,X6,X8,X9)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6)
    | ~ in_closed(X7,X8,X9) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_77,plain,
    ( axis_conflict(X1,X2,X5,X6)
    | axis_conflict(X3,X4,X7,X8)
    | ~ box2_conflict(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[i_0_43]),
    [final] ).

cnf(i_0_78,plain,
    ( axis_compatible(X1,X2,X3,X4)
    | ~ box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_79,plain,
    ( axis_compatible(X1,X2,X3,X4)
    | ~ box2_compatible(X5,X6,X1,X2,X7,X8,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_80,plain,
    ( box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ axis_compatible(X1,X2,X3,X4)
    | ~ axis_compatible(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_81,plain,
    ( box2_conflict(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ axis_conflict(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_43]),
    [final] ).

cnf(i_0_82,plain,
    ( box2_conflict(X5,X6,X1,X2,X7,X8,X3,X4)
    | ~ axis_conflict(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_43]),
    [final] ).

cnf(i_0_83,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_84,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X4,X1,X5,X6,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_85,plain,
    ( in_box2(X1,X4,X2,X3,X5,X6)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_86,plain,
    ( axis_subsumes(X1,X2,X3,X4)
    | ~ in_closed(esk3_4(X1,X2,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_46]),
    [final] ).

cnf(i_0_87,plain,
    ( in_closed(esk2_4(X1,X2,X3,X4),X1,X2)
    | ~ axis_compatible(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_47]),
    [final] ).

cnf(i_0_88,plain,
    ( in_closed(esk2_4(X1,X2,X3,X4),X3,X4)
    | ~ axis_compatible(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_47]),
    [final] ).

cnf(i_0_89,plain,
    ( in_closed(esk3_4(X1,X2,X3,X4),X1,X2)
    | axis_subsumes(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_46]),
    [final] ).

cnf(i_0_90,plain,
    ( in_closed(esk1_4(X1,X2,X3,X4),X1,X2)
    | axis_conflict(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_48]),
    [final] ).

cnf(i_0_91,plain,
    ( in_closed(esk1_4(X1,X2,X3,X4),X3,X4)
    | axis_conflict(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_48]),
    [final] ).

cnf(i_0_92,plain,
    ( ~ axis_conflict(X1,X2,X3,X4)
    | ~ in_closed(X5,X1,X2)
    | ~ in_closed(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_48]),
    [final] ).

cnf(i_0_93,plain,
    ( in_closed(X5,X3,X4)
    | ~ axis_subsumes(X1,X2,X3,X4)
    | ~ in_closed(X5,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_46]),
    [final] ).

cnf(i_0_94,plain,
    ( axis_compatible(X2,X3,X4,X5)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_47]),
    [final] ).

cnf(i_0_95,hypothesis,
    axis_compatible(n0,n10,n5,n10),
    inference(split_conjunct,[status(thm)],[compatible_hyp]),
    [final] ).

cnf(i_0_96,negated_conjecture,
    ( ~ in_closed(X1,n0,n10)
    | ~ in_closed(X1,n5,n10) ),
    inference(split_conjunct,[status(thm)],[i_0_49]),
    [final] ).

cnf(i_0_97,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_50]),
    [final] ).

cnf(i_0_98,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_51]),
    [final] ).

cnf(i_0_99,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_52]),
    [final] ).

cnf(i_0_100,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_53]),
    [final] ).

cnf(i_0_101,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

cnf(i_0_102,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_55]),
    [final] ).

cnf(i_0_103,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

cnf(i_0_104,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_55]),
    [final] ).

cnf(i_0_105,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_56]),
    [final] ).

cnf(i_0_106,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_57]),
    [final] ).

cnf(i_0_107,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_56]),
    [final] ).

cnf(i_0_108,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_57]),
    [final] ).

cnf(i_0_109,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_50]),
    [final] ).

cnf(i_0_110,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_51]),
    [final] ).

cnf(i_0_111,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_52]),
    [final] ).

cnf(i_0_112,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_53]),
    [final] ).

cnf(i_0_113,plain,
    ( in_open(X2,X1,X3)
    | ~ less(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_56]),
    [final] ).

cnf(i_0_114,plain,
    ( in_open(X2,X1,X3)
    | ~ less(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_57]),
    [final] ).

cnf(i_0_115,plain,
    ( in_ropen(X2,X1,X3)
    | ~ leq(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_50]),
    [final] ).

cnf(i_0_116,plain,
    ( in_ropen(X2,X1,X3)
    | ~ leq(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_51]),
    [final] ).

cnf(i_0_117,plain,
    ( in_lopen(X2,X1,X3)
    | ~ less(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_52]),
    [final] ).

cnf(i_0_118,plain,
    ( in_lopen(X2,X1,X3)
    | ~ less(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_53]),
    [final] ).

cnf(i_0_119,plain,
    ( in_closed(X2,X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

cnf(i_0_120,plain,
    ( in_closed(X2,X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_55]),
    [final] ).

cnf(i_0_121,plain,
    ( X1 = X2
    | ~ in_closed(X1,X2,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_58]),
    [final] ).

cnf(i_0_122,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_59]),
    [final] ).

cnf(i_0_123,plain,
    ( less(X1,X3)
    | ~ less(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_60]),
    [final] ).

cnf(i_0_124,plain,
    ( less(X1,X3)
    | ~ leq(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_61]),
    [final] ).

cnf(i_0_125,plain,
    ( less(X1,X3)
    | ~ less(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_62]),
    [final] ).

cnf(i_0_126,plain,
    ( in_closed(X1,X2,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_58]),
    [final] ).

cnf(i_0_127,plain,
    ( box_verdict(X1,X2) = conflict
    | box_verdict(X1,X2) = compatible
    | box_verdict(X1,X2) = unknown
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_63]),
    [final] ).

cnf(i_0_128,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_64]),
    [final] ).

cnf(i_0_129,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_65]),
    [final] ).

cnf(i_0_130,plain,
    ( leq(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_66]),
    [final] ).

cnf(i_0_131,plain,
    ( leq(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_65]),
    [final] ).

cnf(i_0_132,plain,
    ( X1 = conflict
    | X2 = conflict
    | box_verdict(X1,X2) = unknown
    | X1 != unknown
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_67]),
    [final] ).

cnf(i_0_133,plain,
    ( X2 = conflict
    | X1 = conflict
    | box_verdict(X2,X1) = unknown
    | X1 != unknown
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_67]),
    [final] ).

cnf(i_0_134,plain,
    ( box_verdict(X1,X2) = compatible
    | ~ is_verdict(X1)
    | ~ is_verdict(X2)
    | X1 != compatible
    | X2 != compatible ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_135,plain,
    ( box_verdict(X1,X2) = conflict
    | X1 != conflict
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_69]),
    [final] ).

cnf(i_0_136,plain,
    ( box_verdict(X2,X1) = conflict
    | X1 != conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_69]),
    [final] ).

cnf(i_0_137,plain,
    ( less(X1,X2)
    | X1 = X2
    | less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_70]),
    [final] ).

cnf(i_0_138,plain,
    ~ less(X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_71]),
    [final] ).

cnf(i_0_139,plain,
    ( leq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_65]),
    [final] ).

cnf(i_0_140,plain,
    ( X1 = conflict
    | X1 = compatible
    | X1 = unknown
    | ~ is_verdict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_72]),
    [final] ).

cnf(i_0_141,hypothesis,
    less(n5,n10),
    inference(split_conjunct,[status(thm)],[order_5_10]),
    [final] ).

cnf(i_0_142,hypothesis,
    less(n0,n5),
    inference(split_conjunct,[status(thm)],[order_0_5]),
    [final] ).

cnf(i_0_143,plain,
    is_verdict(unknown),
    inference(split_conjunct,[status(thm)],[unknown_is_verdict]),
    [final] ).

cnf(i_0_144,plain,
    is_verdict(compatible),
    inference(split_conjunct,[status(thm)],[compatible_is_verdict]),
    [final] ).

cnf(i_0_145,plain,
    is_verdict(conflict),
    inference(split_conjunct,[status(thm)],[conflict_is_verdict]),
    [final] ).

cnf(i_0_146,plain,
    compatible != unknown,
    inference(split_conjunct,[status(thm)],[verdicts_distinct_cp_un]),
    [final] ).

cnf(i_0_147,plain,
    conflict != unknown,
    inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_un]),
    [final] ).

cnf(i_0_148,plain,
    conflict != compatible,
    inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_cp]),
    [final] ).

cnf(i_0_149,axiom,
    X1 = X1 ).

cnf(i_0_150,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_151,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_152,axiom,
    ( X1 != X2
    | box_verdict(X1,X3) = box_verdict(X2,X3) ) ).

cnf(i_0_153,axiom,
    ( X1 != X2
    | box_verdict(X3,X1) = box_verdict(X3,X2) ) ).

cnf(i_0_154,axiom,
    ( X1 != X2
    | ~ in_closed(X1,X3,X4)
    | in_closed(X2,X3,X4) ) ).

cnf(i_0_155,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X1,X4)
    | in_closed(X3,X2,X4) ) ).

cnf(i_0_156,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X4,X1)
    | in_closed(X3,X4,X2) ) ).

cnf(i_0_157,axiom,
    ( X1 != X2
    | ~ in_ropen(X1,X3,X4)
    | in_ropen(X2,X3,X4) ) ).

cnf(i_0_158,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X1,X4)
    | in_ropen(X3,X2,X4) ) ).

cnf(i_0_159,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X4,X1)
    | in_ropen(X3,X4,X2) ) ).

cnf(i_0_160,axiom,
    ( X1 != X2
    | ~ in_lopen(X1,X3,X4)
    | in_lopen(X2,X3,X4) ) ).

cnf(i_0_161,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X1,X4)
    | in_lopen(X3,X2,X4) ) ).

cnf(i_0_162,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X4,X1)
    | in_lopen(X3,X4,X2) ) ).

cnf(i_0_163,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_164,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_165,axiom,
    ( X1 != X2
    | ~ in_open(X1,X3,X4)
    | in_open(X2,X3,X4) ) ).

cnf(i_0_166,axiom,
    ( X1 != X2
    | ~ in_open(X3,X1,X4)
    | in_open(X3,X2,X4) ) ).

cnf(i_0_167,axiom,
    ( X1 != X2
    | ~ in_open(X3,X4,X1)
    | in_open(X3,X4,X2) ) ).

cnf(i_0_168,axiom,
    ( X1 != X2
    | ~ is_verdict(X1)
    | is_verdict(X2) ) ).

cnf(i_0_169,axiom,
    ( X1 != X2
    | ~ in_box3(X1,X3,X4,X5,X6,X7,X8,X9,X10)
    | in_box3(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).

cnf(i_0_170,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X1,X4,X5,X6,X7,X8,X9,X10)
    | in_box3(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).

cnf(i_0_171,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X1,X5,X6,X7,X8,X9,X10)
    | in_box3(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).

cnf(i_0_172,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X1,X6,X7,X8,X9,X10)
    | in_box3(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).

cnf(i_0_173,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X1,X7,X8,X9,X10)
    | in_box3(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).

cnf(i_0_174,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X1,X8,X9,X10)
    | in_box3(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).

cnf(i_0_175,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X8,X1,X9,X10)
    | in_box3(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).

cnf(i_0_176,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X1,X10)
    | in_box3(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).

cnf(i_0_177,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X1)
    | in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).

cnf(i_0_178,axiom,
    ( X1 != X2
    | ~ axis_conflict(X1,X3,X4,X5)
    | axis_conflict(X2,X3,X4,X5) ) ).

cnf(i_0_179,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X1,X4,X5)
    | axis_conflict(X3,X2,X4,X5) ) ).

cnf(i_0_180,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X1,X5)
    | axis_conflict(X3,X4,X2,X5) ) ).

cnf(i_0_181,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X5,X1)
    | axis_conflict(X3,X4,X5,X2) ) ).

cnf(i_0_182,axiom,
    ( X1 != X2
    | ~ box2_conflict(X1,X3,X4,X5,X6,X7,X8,X9)
    | box2_conflict(X2,X3,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_183,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X1,X4,X5,X6,X7,X8,X9)
    | box2_conflict(X3,X2,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_184,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X1,X5,X6,X7,X8,X9)
    | box2_conflict(X3,X4,X2,X5,X6,X7,X8,X9) ) ).

cnf(i_0_185,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X1,X6,X7,X8,X9)
    | box2_conflict(X3,X4,X5,X2,X6,X7,X8,X9) ) ).

cnf(i_0_186,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X1,X7,X8,X9)
    | box2_conflict(X3,X4,X5,X6,X2,X7,X8,X9) ) ).

cnf(i_0_187,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X7,X1,X8,X9)
    | box2_conflict(X3,X4,X5,X6,X7,X2,X8,X9) ) ).

cnf(i_0_188,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X7,X8,X1,X9)
    | box2_conflict(X3,X4,X5,X6,X7,X8,X2,X9) ) ).

cnf(i_0_189,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X7,X8,X9,X1)
    | box2_conflict(X3,X4,X5,X6,X7,X8,X9,X2) ) ).

cnf(i_0_190,axiom,
    ( X1 != X2
    | ~ axis_compatible(X1,X3,X4,X5)
    | axis_compatible(X2,X3,X4,X5) ) ).

cnf(i_0_191,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X1,X4,X5)
    | axis_compatible(X3,X2,X4,X5) ) ).

cnf(i_0_192,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X1,X5)
    | axis_compatible(X3,X4,X2,X5) ) ).

cnf(i_0_193,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X5,X1)
    | axis_compatible(X3,X4,X5,X2) ) ).

cnf(i_0_194,axiom,
    ( X1 != X2
    | ~ box2_compatible(X1,X3,X4,X5,X6,X7,X8,X9)
    | box2_compatible(X2,X3,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_195,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X1,X4,X5,X6,X7,X8,X9)
    | box2_compatible(X3,X2,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_196,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X1,X5,X6,X7,X8,X9)
    | box2_compatible(X3,X4,X2,X5,X6,X7,X8,X9) ) ).

cnf(i_0_197,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X1,X6,X7,X8,X9)
    | box2_compatible(X3,X4,X5,X2,X6,X7,X8,X9) ) ).

cnf(i_0_198,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X1,X7,X8,X9)
    | box2_compatible(X3,X4,X5,X6,X2,X7,X8,X9) ) ).

cnf(i_0_199,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X7,X1,X8,X9)
    | box2_compatible(X3,X4,X5,X6,X7,X2,X8,X9) ) ).

cnf(i_0_200,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X7,X8,X1,X9)
    | box2_compatible(X3,X4,X5,X6,X7,X8,X2,X9) ) ).

cnf(i_0_201,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X7,X8,X9,X1)
    | box2_compatible(X3,X4,X5,X6,X7,X8,X9,X2) ) ).

cnf(i_0_202,axiom,
    ( X1 != X2
    | ~ in_box2(X1,X3,X4,X5,X6,X7)
    | in_box2(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_203,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X1,X4,X5,X6,X7)
    | in_box2(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_204,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X1,X5,X6,X7)
    | in_box2(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_205,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X5,X1,X6,X7)
    | in_box2(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_206,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X5,X6,X1,X7)
    | in_box2(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_207,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X5,X6,X7,X1)
    | in_box2(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_208,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X1,X3,X4,X5)
    | axis_subsumes(X2,X3,X4,X5) ) ).

cnf(i_0_209,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X1,X4,X5)
    | axis_subsumes(X3,X2,X4,X5) ) ).

cnf(i_0_210,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X1,X5)
    | axis_subsumes(X3,X4,X2,X5) ) ).

cnf(i_0_211,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X5,X1)
    | axis_subsumes(X3,X4,X5,X2) ) ).

cnf(i_0_212,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_213,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_149_001,axiom,
    X1 = X1 ).

cnf(i_0_150_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_151_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_152_004,axiom,
    ( X1 != X2
    | box_verdict(X1,X3) = box_verdict(X2,X3) ) ).

cnf(i_0_153_005,axiom,
    ( X1 != X2
    | box_verdict(X3,X1) = box_verdict(X3,X2) ) ).

cnf(i_0_154_006,axiom,
    ( X1 != X2
    | ~ in_closed(X1,X3,X4)
    | in_closed(X2,X3,X4) ) ).

cnf(i_0_155_007,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X1,X4)
    | in_closed(X3,X2,X4) ) ).

cnf(i_0_156_008,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X4,X1)
    | in_closed(X3,X4,X2) ) ).

cnf(i_0_157_009,axiom,
    ( X1 != X2
    | ~ in_ropen(X1,X3,X4)
    | in_ropen(X2,X3,X4) ) ).

cnf(i_0_158_010,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X1,X4)
    | in_ropen(X3,X2,X4) ) ).

cnf(i_0_159_011,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X4,X1)
    | in_ropen(X3,X4,X2) ) ).

cnf(i_0_160_012,axiom,
    ( X1 != X2
    | ~ in_lopen(X1,X3,X4)
    | in_lopen(X2,X3,X4) ) ).

cnf(i_0_161_013,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X1,X4)
    | in_lopen(X3,X2,X4) ) ).

cnf(i_0_162_014,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X4,X1)
    | in_lopen(X3,X4,X2) ) ).

cnf(i_0_163_015,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_164_016,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_165_017,axiom,
    ( X1 != X2
    | ~ in_open(X1,X3,X4)
    | in_open(X2,X3,X4) ) ).

cnf(i_0_166_018,axiom,
    ( X1 != X2
    | ~ in_open(X3,X1,X4)
    | in_open(X3,X2,X4) ) ).

cnf(i_0_167_019,axiom,
    ( X1 != X2
    | ~ in_open(X3,X4,X1)
    | in_open(X3,X4,X2) ) ).

cnf(i_0_168_020,axiom,
    ( X1 != X2
    | ~ is_verdict(X1)
    | is_verdict(X2) ) ).

cnf(i_0_169_021,axiom,
    ( X1 != X2
    | ~ in_box3(X1,X3,X4,X5,X6,X7,X8,X9,X10)
    | in_box3(X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).

cnf(i_0_170_022,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X1,X4,X5,X6,X7,X8,X9,X10)
    | in_box3(X3,X2,X4,X5,X6,X7,X8,X9,X10) ) ).

cnf(i_0_171_023,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X1,X5,X6,X7,X8,X9,X10)
    | in_box3(X3,X4,X2,X5,X6,X7,X8,X9,X10) ) ).

cnf(i_0_172_024,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X1,X6,X7,X8,X9,X10)
    | in_box3(X3,X4,X5,X2,X6,X7,X8,X9,X10) ) ).

cnf(i_0_173_025,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X1,X7,X8,X9,X10)
    | in_box3(X3,X4,X5,X6,X2,X7,X8,X9,X10) ) ).

cnf(i_0_174_026,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X1,X8,X9,X10)
    | in_box3(X3,X4,X5,X6,X7,X2,X8,X9,X10) ) ).

cnf(i_0_175_027,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X8,X1,X9,X10)
    | in_box3(X3,X4,X5,X6,X7,X8,X2,X9,X10) ) ).

cnf(i_0_176_028,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X1,X10)
    | in_box3(X3,X4,X5,X6,X7,X8,X9,X2,X10) ) ).

cnf(i_0_177_029,axiom,
    ( X1 != X2
    | ~ in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X1)
    | in_box3(X3,X4,X5,X6,X7,X8,X9,X10,X2) ) ).

cnf(i_0_178_030,axiom,
    ( X1 != X2
    | ~ axis_conflict(X1,X3,X4,X5)
    | axis_conflict(X2,X3,X4,X5) ) ).

cnf(i_0_179_031,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X1,X4,X5)
    | axis_conflict(X3,X2,X4,X5) ) ).

cnf(i_0_180_032,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X1,X5)
    | axis_conflict(X3,X4,X2,X5) ) ).

cnf(i_0_181_033,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X5,X1)
    | axis_conflict(X3,X4,X5,X2) ) ).

cnf(i_0_182_034,axiom,
    ( X1 != X2
    | ~ box2_conflict(X1,X3,X4,X5,X6,X7,X8,X9)
    | box2_conflict(X2,X3,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_183_035,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X1,X4,X5,X6,X7,X8,X9)
    | box2_conflict(X3,X2,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_184_036,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X1,X5,X6,X7,X8,X9)
    | box2_conflict(X3,X4,X2,X5,X6,X7,X8,X9) ) ).

cnf(i_0_185_037,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X1,X6,X7,X8,X9)
    | box2_conflict(X3,X4,X5,X2,X6,X7,X8,X9) ) ).

cnf(i_0_186_038,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X1,X7,X8,X9)
    | box2_conflict(X3,X4,X5,X6,X2,X7,X8,X9) ) ).

cnf(i_0_187_039,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X7,X1,X8,X9)
    | box2_conflict(X3,X4,X5,X6,X7,X2,X8,X9) ) ).

cnf(i_0_188_040,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X7,X8,X1,X9)
    | box2_conflict(X3,X4,X5,X6,X7,X8,X2,X9) ) ).

cnf(i_0_189_041,axiom,
    ( X1 != X2
    | ~ box2_conflict(X3,X4,X5,X6,X7,X8,X9,X1)
    | box2_conflict(X3,X4,X5,X6,X7,X8,X9,X2) ) ).

cnf(i_0_190_042,axiom,
    ( X1 != X2
    | ~ axis_compatible(X1,X3,X4,X5)
    | axis_compatible(X2,X3,X4,X5) ) ).

cnf(i_0_191_043,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X1,X4,X5)
    | axis_compatible(X3,X2,X4,X5) ) ).

cnf(i_0_192_044,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X1,X5)
    | axis_compatible(X3,X4,X2,X5) ) ).

cnf(i_0_193_045,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X5,X1)
    | axis_compatible(X3,X4,X5,X2) ) ).

cnf(i_0_194_046,axiom,
    ( X1 != X2
    | ~ box2_compatible(X1,X3,X4,X5,X6,X7,X8,X9)
    | box2_compatible(X2,X3,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_195_047,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X1,X4,X5,X6,X7,X8,X9)
    | box2_compatible(X3,X2,X4,X5,X6,X7,X8,X9) ) ).

cnf(i_0_196_048,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X1,X5,X6,X7,X8,X9)
    | box2_compatible(X3,X4,X2,X5,X6,X7,X8,X9) ) ).

cnf(i_0_197_049,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X1,X6,X7,X8,X9)
    | box2_compatible(X3,X4,X5,X2,X6,X7,X8,X9) ) ).

cnf(i_0_198_050,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X1,X7,X8,X9)
    | box2_compatible(X3,X4,X5,X6,X2,X7,X8,X9) ) ).

cnf(i_0_199_051,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X7,X1,X8,X9)
    | box2_compatible(X3,X4,X5,X6,X7,X2,X8,X9) ) ).

cnf(i_0_200_052,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X7,X8,X1,X9)
    | box2_compatible(X3,X4,X5,X6,X7,X8,X2,X9) ) ).

cnf(i_0_201_053,axiom,
    ( X1 != X2
    | ~ box2_compatible(X3,X4,X5,X6,X7,X8,X9,X1)
    | box2_compatible(X3,X4,X5,X6,X7,X8,X9,X2) ) ).

cnf(i_0_202_054,axiom,
    ( X1 != X2
    | ~ in_box2(X1,X3,X4,X5,X6,X7)
    | in_box2(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_203_055,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X1,X4,X5,X6,X7)
    | in_box2(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_204_056,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X1,X5,X6,X7)
    | in_box2(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_205_057,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X5,X1,X6,X7)
    | in_box2(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_206_058,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X5,X6,X1,X7)
    | in_box2(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_207_059,axiom,
    ( X1 != X2
    | ~ in_box2(X3,X4,X5,X6,X7,X1)
    | in_box2(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_208_060,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X1,X3,X4,X5)
    | axis_subsumes(X2,X3,X4,X5) ) ).

cnf(i_0_209_061,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X1,X4,X5)
    | axis_subsumes(X3,X2,X4,X5) ) ).

cnf(i_0_210_062,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X1,X5)
    | axis_subsumes(X3,X4,X2,X5) ) ).

cnf(i_0_211_063,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X5,X1)
    | axis_subsumes(X3,X4,X5,X2) ) ).

cnf(i_0_212_064,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_213_065,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_214,plain,
    in_closed(X1,X1,X1),
    inference(equality_inference,[],[126]) ).

cnf(i_0_215,plain,
    ( ~ is_verdict(unknown)
    | ~ is_verdict(X1)
    | unknown = conflict
    | X1 = conflict
    | box_verdict(unknown,X1) = unknown ),
    inference(equality_inference,[],[132]) ).

cnf(i_0_216,plain,
    ( ~ is_verdict(X1)
    | ~ is_verdict(unknown)
    | X1 = conflict
    | unknown = conflict
    | box_verdict(X1,unknown) = unknown ),
    inference(equality_inference,[],[133]) ).

cnf(i_0_217,plain,
    ( ~ is_verdict(conflict)
    | ~ is_verdict(X1)
    | box_verdict(conflict,X1) = conflict ),
    inference(equality_inference,[],[135]) ).

cnf(i_0_218,plain,
    ( ~ is_verdict(X1)
    | ~ is_verdict(conflict)
    | box_verdict(X1,conflict) = conflict ),
    inference(equality_inference,[],[136]) ).

cnf(i_0_219,plain,
    leq(X1,X1),
    inference(equality_inference,[],[139]) ).

cnf(i_0_220,plain,
    ( ~ is_verdict(X1)
    | unknown = conflict
    | X1 = conflict
    | box_verdict(unknown,X1) = unknown ),
    inference(scs_inference,[],[i_0_143,i_0_215]) ).

cnf(i_0_221,plain,
    ( ~ is_verdict(X1)
    | X1 = conflict
    | unknown = conflict
    | box_verdict(X1,unknown) = unknown ),
    inference(scs_inference,[],[i_0_143,i_0_216]) ).

cnf(i_0_222,plain,
    ( ~ is_verdict(X1)
    | box_verdict(conflict,X1) = conflict ),
    inference(scs_inference,[],[i_0_145,i_0_217]) ).

cnf(i_0_223,plain,
    ( ~ is_verdict(X1)
    | box_verdict(X1,conflict) = conflict ),
    inference(scs_inference,[],[i_0_145,i_0_218]) ).

cnf(i_0_224,plain,
    leq(n5,n10),
    inference(scs_inference,[],[i_0_141,i_0_131]) ).

cnf(i_0_225,plain,
    ( ~ less(X1,X2)
    | leq(X1,X2) ),
    inference(rename_variables,[],[i_0_131]) ).

cnf(i_0_226,plain,
    ~ in_open(X1,X2,X1),
    inference(scs_inference,[],[i_0_138,i_0_141,i_0_131,i_0_106]) ).

cnf(i_0_227,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_228,plain,
    ~ in_open(X1,X1,X2),
    inference(scs_inference,[],[i_0_138,i_0_141,i_0_131,i_0_106,i_0_108]) ).

cnf(i_0_229,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_230,plain,
    ~ in_ropen(X1,X2,X1),
    inference(scs_inference,[],[i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110]) ).

cnf(i_0_231,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_232,plain,
    ~ in_lopen(X1,X1,X2),
    inference(scs_inference,[],[i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112]) ).

cnf(i_0_233,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_234,plain,
    in_closed(n10,n5,n10),
    inference(scs_inference,[],[i_0_219,i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120]) ).

cnf(i_0_235,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_236,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_237,plain,
    in_box2(X1,X1,X1,X1,X1,X1),
    inference(scs_inference,[],[i_0_214,i_0_219,i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85]) ).

cnf(i_0_238,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6)
    | in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_85]) ).

cnf(i_0_239,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(scs_inference,[],[i_0_214,i_0_219,i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92]) ).

cnf(i_0_240,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_92]) ).

cnf(i_0_241,plain,
    axis_compatible(X1,X1,X1,X1),
    inference(scs_inference,[],[i_0_214,i_0_219,i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94]) ).

cnf(i_0_242,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_243,plain,
    box2_compatible(n0,n10,n0,n10,n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_138,i_0_141,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80]) ).

cnf(i_0_244,plain,
    ( ~ axis_compatible(X1,X2,X3,X4)
    | ~ axis_compatible(X5,X6,X7,X8)
    | box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_245,plain,
    in_open(n5,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_138,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114]) ).

cnf(i_0_246,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X3)
    | in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_114]) ).

cnf(i_0_247,plain,
    in_ropen(n5,n5,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_138,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116]) ).

cnf(i_0_248,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_249,plain,
    ( ~ leq(X1,X2)
    | ~ less(X2,X3)
    | in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_116]) ).

cnf(i_0_250,plain,
    in_lopen(n10,n5,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118]) ).

cnf(i_0_251,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_252,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_253,plain,
    ~ less(n10,n5),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123]) ).

cnf(i_0_254,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_138]) ).

cnf(i_0_255,plain,
    ( ~ leq(X1,X2)
    | less(X3,X2)
    | ~ less(X3,X1) ),
    inference(rename_variables,[],[i_0_123]) ).

cnf(i_0_256,plain,
    ~ leq(n10,n5),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124]) ).

cnf(i_0_257,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_138]) ).

cnf(i_0_258,plain,
    ( ~ less(X1,X2)
    | less(X3,X2)
    | ~ leq(X3,X1) ),
    inference(rename_variables,[],[i_0_124]) ).

cnf(i_0_259,plain,
    ~ less(n5,n0),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125]) ).

cnf(i_0_260,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_138]) ).

cnf(i_0_261,plain,
    ( ~ less(X1,X2)
    | less(X3,X2)
    | ~ less(X3,X1) ),
    inference(rename_variables,[],[i_0_125]) ).

cnf(i_0_262,plain,
    n5 != n10,
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157]) ).

cnf(i_0_263,plain,
    n0 != n10,
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163]) ).

cnf(i_0_264,plain,
    n10 != n5,
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164]) ).

cnf(i_0_265,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_138]) ).

cnf(i_0_266,plain,
    in_box3(X1,X1,X1,X1,X1,X1,X1,X1,X1),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76]) ).

cnf(i_0_267,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6)
    | ~ in_closed(X7,X8,X9)
    | in_box3(X1,X4,X7,X2,X3,X5,X6,X8,X9) ),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_268,plain,
    ~ in_closed(n10,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96]) ).

cnf(i_0_269,plain,
    ( ~ in_closed(X1,n5,n10)
    | ~ in_closed(X1,n0,n10) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_270,plain,
    ~ in_box3(X1,n10,X2,X3,X4,n0,n10,X5,X6),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74]) ).

cnf(i_0_271,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X1,X5,X6,X7,X2,X3,X8,X9) ),
    inference(rename_variables,[],[i_0_74]) ).

cnf(i_0_272,plain,
    ~ in_box3(X1,X2,n10,X3,X4,X5,X6,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75]) ).

cnf(i_0_273,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X5,X1,X6,X7,X8,X9,X2,X3) ),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_274,plain,
    ~ in_box2(n10,X1,n0,n10,X2,X3),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83]) ).

cnf(i_0_275,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_276,plain,
    ~ in_box2(X1,n10,X2,X3,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84]) ).

cnf(i_0_277,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X4,X1,X5,X6,X2,X3) ),
    inference(rename_variables,[],[i_0_84]) ).

cnf(i_0_278,plain,
    ~ in_ropen(n5,n10,X1),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98]) ).

cnf(i_0_279,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_98]) ).

cnf(i_0_280,plain,
    ~ in_lopen(n10,X1,n5),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98,i_0_100]) ).

cnf(i_0_281,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_282,plain,
    ~ in_closed(n10,X1,n5),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98,i_0_100,i_0_102]) ).

cnf(i_0_283,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_102]) ).

cnf(i_0_284,plain,
    ~ in_closed(n5,n10,X1),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98,i_0_100,i_0_102,i_0_104]) ).

cnf(i_0_285,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_104]) ).

cnf(i_0_286,plain,
    ~ axis_subsumes(n10,n10,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98,i_0_100,i_0_102,i_0_104,i_0_93]) ).

cnf(i_0_287,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_214]) ).

cnf(i_0_288,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_289,plain,
    ( X1 != n10
    | ~ in_closed(X1,n0,n10) ),
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98,i_0_100,i_0_102,i_0_104,i_0_93,i_0_154]) ).

cnf(i_0_290,plain,
    n10 != n0,
    inference(scs_inference,[],[i_0_95,i_0_214,i_0_287,i_0_219,i_0_235,i_0_248,i_0_138,i_0_254,i_0_257,i_0_260,i_0_141,i_0_142,i_0_131,i_0_106,i_0_108,i_0_110,i_0_112,i_0_120,i_0_85,i_0_92,i_0_94,i_0_80,i_0_114,i_0_116,i_0_118,i_0_123,i_0_124,i_0_125,i_0_157,i_0_163,i_0_164,i_0_76,i_0_96,i_0_74,i_0_75,i_0_83,i_0_84,i_0_98,i_0_100,i_0_102,i_0_104,i_0_93,i_0_154,i_0_155]) ).

cnf(i_0_291,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_214]) ).

cnf(i_0_292,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_293,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_138]) ).

cnf(i_0_294,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_129]) ).

cnf(i_0_296,plain,
    ~ in_closed(n10,n0,n10),
    inference(equality_inference,[],[289]) ).

cnf(i_0_297,plain,
    ~ in_box3(n10,X1,X2,n0,n10,X3,X4,X5,X6),
    inference(scs_inference,[],[i_0_268,i_0_73]) ).

cnf(i_0_298,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X1,X4,X5,X2,X3,X6,X7,X8,X9) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_299,plain,
    ~ in_open(n5,n10,X1),
    inference(scs_inference,[],[i_0_268,i_0_253,i_0_73,i_0_108]) ).

cnf(i_0_300,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_301,plain,
    ~ in_ropen(n10,X1,n5),
    inference(scs_inference,[],[i_0_268,i_0_253,i_0_73,i_0_108,i_0_110]) ).

cnf(i_0_302,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_303,plain,
    ~ in_box3(X1,n10,X2,X3,X4,X5,n5,X6,X7),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_73,i_0_108,i_0_110,i_0_74]) ).

cnf(i_0_304,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X1,X5,X6,X7,X2,X3,X8,X9) ),
    inference(rename_variables,[],[i_0_74]) ).

cnf(i_0_305,plain,
    ~ in_box3(X1,X2,n10,X3,X4,X5,X6,X7,n5),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75]) ).

cnf(i_0_306,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X5,X1,X6,X7,X8,X9,X2,X3) ),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_307,plain,
    ~ in_box2(n10,X1,X2,n5,X3,X4),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83]) ).

cnf(i_0_308,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_309,plain,
    ~ in_box2(X1,n10,X2,X3,X4,n5),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84]) ).

cnf(i_0_310,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X4,X1,X5,X6,X2,X3) ),
    inference(rename_variables,[],[i_0_84]) ).

cnf(i_0_311,plain,
    ~ in_open(n10,X1,n5),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106]) ).

cnf(i_0_312,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_313,plain,
    ~ in_lopen(n5,n10,X1),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112]) ).

cnf(i_0_314,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_315,plain,
    leq(n0,n5),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_253,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131]) ).

cnf(i_0_316,plain,
    ( ~ less(X1,X2)
    | leq(X1,X2) ),
    inference(rename_variables,[],[i_0_131]) ).

cnf(i_0_317,plain,
    n0 != n5,
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_228,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166]) ).

cnf(i_0_318,plain,
    ~ in_open(X1,X1,X2),
    inference(rename_variables,[],[i_0_228]) ).

cnf(i_0_319,plain,
    n5 != n0,
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_228,i_0_318,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165]) ).

cnf(i_0_320,plain,
    ~ in_open(X1,X1,X2),
    inference(rename_variables,[],[i_0_228]) ).

cnf(i_0_321,plain,
    ~ leq(n10,n0),
    inference(scs_inference,[],[i_0_268,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122]) ).

cnf(i_0_322,plain,
    ( ~ leq(X1,X2)
    | leq(X3,X2)
    | ~ leq(X3,X1) ),
    inference(rename_variables,[],[i_0_122]) ).

cnf(i_0_323,plain,
    ~ axis_subsumes(n5,n10,n0,n10),
    inference(scs_inference,[],[i_0_268,i_0_234,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93]) ).

cnf(i_0_324,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_325,plain,
    in_box2(n10,n10,n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_268,i_0_234,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85]) ).

cnf(i_0_326,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6)
    | in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_85]) ).

cnf(i_0_327,plain,
    ~ axis_conflict(n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_268,i_0_234,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92]) ).

cnf(i_0_328,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_92]) ).

cnf(i_0_329,plain,
    axis_compatible(n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_268,i_0_234,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94]) ).

cnf(i_0_330,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_331,plain,
    ~ leq(n5,n0),
    inference(scs_inference,[],[i_0_268,i_0_234,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129]) ).

cnf(i_0_332,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_129]) ).

cnf(i_0_333,plain,
    box2_compatible(X1,X1,n0,n10,X1,X1,n5,n10),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_282,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80]) ).

cnf(i_0_334,plain,
    ( ~ axis_compatible(X1,X2,X3,X4)
    | ~ axis_compatible(X5,X6,X7,X8)
    | box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_335,plain,
    in_ropen(n0,n0,n5),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_282,i_0_219,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116]) ).

cnf(i_0_336,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_337,plain,
    ( ~ leq(X1,X2)
    | ~ less(X2,X3)
    | in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_116]) ).

cnf(i_0_338,plain,
    in_lopen(n5,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118]) ).

cnf(i_0_339,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_340,plain,
    in_closed(n5,n5,n10),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120]) ).

cnf(i_0_341,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_342,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_343,plain,
    ~ less(n10,n0),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123]) ).

cnf(i_0_344,plain,
    ( ~ leq(X1,X2)
    | less(X3,X2)
    | ~ less(X3,X1) ),
    inference(rename_variables,[],[i_0_123]) ).

cnf(i_0_345,plain,
    in_box3(n10,n10,n10,n5,n10,n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76]) ).

cnf(i_0_346,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6)
    | ~ in_closed(X7,X8,X9)
    | in_box3(X1,X4,X7,X2,X3,X5,X6,X8,X9) ),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_347,plain,
    ~ in_closed(n5,n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96]) ).

cnf(i_0_348,plain,
    ( ~ in_closed(X1,n5,n10)
    | ~ in_closed(X1,n0,n10) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_349,plain,
    ~ in_ropen(n0,n10,X1),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98]) ).

cnf(i_0_350,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_98]) ).

cnf(i_0_351,plain,
    ~ in_lopen(n10,X1,n0),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100]) ).

cnf(i_0_352,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_353,plain,
    ~ in_closed(n0,n10,X1),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104]) ).

cnf(i_0_354,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_104]) ).

cnf(i_0_355,plain,
    ~ in_closed(n10,X1,n0),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102]) ).

cnf(i_0_356,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_102]) ).

cnf(i_0_357,plain,
    ( X1 != n10
    | ~ in_box3(n10,X2,X3,n0,X1,X4,X5,X6,X7) ),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173]) ).

cnf(i_0_358,plain,
    less(n0,n10),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_290,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173,i_0_137]) ).

cnf(i_0_359,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_137]) ).

cnf(i_0_360,plain,
    ( X1 != n10
    | ~ in_box3(X2,n10,X3,X4,X5,n0,X1,X6,X7) ),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_290,i_0_270,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173,i_0_137,i_0_175]) ).

cnf(i_0_361,plain,
    ( X1 != n10
    | ~ in_box3(X2,X3,n10,X4,X5,X6,X7,n0,X1) ),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_290,i_0_270,i_0_272,i_0_234,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173,i_0_137,i_0_175,i_0_177]) ).

cnf(i_0_362,plain,
    ( X1 != X2
    | ~ axis_conflict(X1,X2,X2,X2) ),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_290,i_0_270,i_0_272,i_0_234,i_0_239,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173,i_0_137,i_0_175,i_0_177,i_0_178]) ).

cnf(i_0_363,plain,
    ( X1 != X2
    | ~ axis_conflict(X2,X1,X2,X2) ),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_290,i_0_270,i_0_272,i_0_234,i_0_239,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173,i_0_137,i_0_175,i_0_177,i_0_178,i_0_179]) ).

cnf(i_0_364,plain,
    ( X1 != X2
    | ~ axis_conflict(X2,X2,X1,X2) ),
    inference(scs_inference,[],[i_0_95,i_0_268,i_0_290,i_0_270,i_0_272,i_0_234,i_0_239,i_0_241,i_0_224,i_0_282,i_0_219,i_0_336,i_0_228,i_0_318,i_0_256,i_0_253,i_0_245,i_0_259,i_0_142,i_0_73,i_0_108,i_0_110,i_0_74,i_0_75,i_0_83,i_0_84,i_0_106,i_0_112,i_0_131,i_0_166,i_0_165,i_0_122,i_0_93,i_0_85,i_0_92,i_0_94,i_0_129,i_0_80,i_0_116,i_0_118,i_0_120,i_0_123,i_0_76,i_0_96,i_0_98,i_0_100,i_0_104,i_0_102,i_0_173,i_0_137,i_0_175,i_0_177,i_0_178,i_0_179,i_0_180]) ).

cnf(i_0_365,plain,
    ~ in_box3(n10,X1,X2,n0,n10,X3,X4,X5,X6),
    inference(equality_inference,[],[357]) ).

cnf(i_0_366,plain,
    ~ in_box3(X1,n10,X2,X3,X4,n0,n10,X5,X6),
    inference(equality_inference,[],[360]) ).

cnf(i_0_367,plain,
    ~ in_box3(X1,X2,n10,X3,X4,X5,X6,n0,n10),
    inference(equality_inference,[],[361]) ).

cnf(i_0_368,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(equality_inference,[],[362]) ).

cnf(i_0_369,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(equality_inference,[],[363]) ).

cnf(i_0_370,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(equality_inference,[],[364]) ).

cnf(i_0_371,plain,
    ~ in_box3(n5,X1,X2,n0,n10,X3,X4,X5,X6),
    inference(scs_inference,[],[i_0_347,i_0_73]) ).

cnf(i_0_372,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X1,X4,X5,X2,X3,X6,X7,X8,X9) ),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_373,plain,
    ~ in_open(n0,n5,X1),
    inference(scs_inference,[],[i_0_347,i_0_259,i_0_73,i_0_108]) ).

cnf(i_0_374,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_375,plain,
    ~ in_open(n5,X1,n0),
    inference(scs_inference,[],[i_0_347,i_0_259,i_0_73,i_0_108,i_0_106]) ).

cnf(i_0_376,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_377,plain,
    ~ in_ropen(n5,X1,n0),
    inference(scs_inference,[],[i_0_347,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110]) ).

cnf(i_0_378,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_110]) ).

cnf(i_0_379,plain,
    ~ in_lopen(n0,n5,X1),
    inference(scs_inference,[],[i_0_347,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112]) ).

cnf(i_0_380,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_381,plain,
    ~ in_box2(n5,X1,n0,n10,X2,X3),
    inference(scs_inference,[],[i_0_347,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83]) ).

cnf(i_0_382,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_383,plain,
    ~ in_box2(X1,n5,X2,X3,n0,n10),
    inference(scs_inference,[],[i_0_347,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84]) ).

cnf(i_0_384,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box2(X4,X1,X5,X6,X2,X3) ),
    inference(rename_variables,[],[i_0_84]) ).

cnf(i_0_385,plain,
    ~ in_ropen(n0,n5,X1),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98]) ).

cnf(i_0_386,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_98]) ).

cnf(i_0_387,plain,
    ~ in_lopen(n5,X1,n0),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100]) ).

cnf(i_0_388,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_389,plain,
    ~ in_closed(n0,n5,X1),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104]) ).

cnf(i_0_390,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_104]) ).

cnf(i_0_391,plain,
    leq(n0,n10),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_358,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131]) ).

cnf(i_0_392,plain,
    ( ~ less(X1,X2)
    | leq(X1,X2) ),
    inference(rename_variables,[],[i_0_131]) ).

cnf(i_0_393,plain,
    ~ in_closed(n5,X1,n0),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_358,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102]) ).

cnf(i_0_394,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_102]) ).

cnf(i_0_395,plain,
    ~ in_box3(X1,n5,X2,X3,X4,n0,n10,X5,X6),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_358,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74]) ).

cnf(i_0_396,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X1,X5,X6,X7,X2,X3,X8,X9) ),
    inference(rename_variables,[],[i_0_74]) ).

cnf(i_0_397,plain,
    ~ in_box3(X1,X2,n5,X3,X4,X5,X6,n0,n10),
    inference(scs_inference,[],[i_0_347,i_0_331,i_0_358,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75]) ).

cnf(i_0_398,plain,
    ( in_closed(X1,X2,X3)
    | ~ in_box3(X4,X5,X1,X6,X7,X8,X9,X2,X3) ),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_399,plain,
    in_box2(n5,n5,n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_331,i_0_358,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85]) ).

cnf(i_0_400,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ in_closed(X4,X5,X6)
    | in_box2(X1,X4,X2,X3,X5,X6) ),
    inference(rename_variables,[],[i_0_85]) ).

cnf(i_0_401,plain,
    ~ axis_conflict(n5,n10,n5,n5),
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_331,i_0_358,i_0_214,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85,i_0_92]) ).

cnf(i_0_402,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_214]) ).

cnf(i_0_403,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_92]) ).

cnf(i_0_404,plain,
    axis_compatible(n5,n10,n5,n5),
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_331,i_0_358,i_0_214,i_0_402,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85,i_0_92,i_0_94]) ).

cnf(i_0_405,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_214]) ).

cnf(i_0_406,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_407,plain,
    in_lopen(n10,n0,n10),
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_331,i_0_358,i_0_219,i_0_214,i_0_402,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85,i_0_92,i_0_94,i_0_118]) ).

cnf(i_0_408,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_219]) ).

cnf(i_0_409,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_410,plain,
    box2_compatible(n5,n10,n5,n10,n5,n10,n5,n10),
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_331,i_0_329,i_0_358,i_0_219,i_0_214,i_0_402,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85,i_0_92,i_0_94,i_0_118,i_0_80]) ).

cnf(i_0_411,plain,
    ( ~ axis_compatible(X1,X2,X3,X4)
    | ~ axis_compatible(X5,X6,X7,X8)
    | box2_compatible(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_412,plain,
    in_ropen(n5,n0,n10),
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_331,i_0_315,i_0_329,i_0_358,i_0_219,i_0_214,i_0_402,i_0_141,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85,i_0_92,i_0_94,i_0_118,i_0_80,i_0_116]) ).

cnf(i_0_413,plain,
    ( ~ leq(X1,X2)
    | ~ less(X2,X3)
    | in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_116]) ).

cnf(i_0_414,plain,
    $false,
    inference(scs_inference,[],[i_0_347,i_0_340,i_0_224,i_0_331,i_0_315,i_0_329,i_0_358,i_0_219,i_0_214,i_0_402,i_0_141,i_0_259,i_0_73,i_0_108,i_0_106,i_0_110,i_0_112,i_0_83,i_0_84,i_0_98,i_0_100,i_0_104,i_0_131,i_0_102,i_0_74,i_0_75,i_0_85,i_0_92,i_0_94,i_0_118,i_0_80,i_0_116,i_0_120]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n006.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 23:32:31 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 0.34/1.61  % Version  : CSE_E---1.7
% 0.34/1.61  % Problem  : theBenchmark.p
% 0.34/1.61  % SZS status Theorem for theBenchmark.p
% 0.34/1.61  % SZS output start CNFRefutation
% See solution above
% 0.94/2.25  % Total time : 1.271s
%------------------------------------------------------------------------------